Answers
well they gave us two sides already , the side with a box - means 90 degrees .
And the other side is 41 degrees .
So we add the two side and subtract it from the total it’s supposed to be and the number we have left over is the one we are trying to find..so let’s do that .
41+90=131
180-131= (our missing side) 49
so in order the sides are :
41,49,90. in alphabetical order if they ask : C,A,B .
Hope this helps and you can understand!
Related Questions
A vector is 148 m long and
points in a -96.3 degree
direction.
Find the x-component of the
vector.
x-component (m)
Enter
Answers
The x component of the vector is 16.24m
What are components of a vector?The components of a vector in two dimension coordinate system are the parts of vectors generated along the axes(x and y) and are considered to be x-component and y-component. It can be represented as, (Vx, Vy), where V is the vector.
The x component of a vector V is Vcos¢
where¢ is the angle of vector
the positive equivalent angle of - 96.3 is 83.7°
x component= 148cos 83.7
Vx= 16.24m
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a lacrosse league has 20 teams in its first year. The number of teams in the league increases by 20% in it's second year. In the third year, the number of teams decreases by 25% from the second year. How many teams are in the league in the third year?
Answers
There are 18 teams in the lacrosse league in the third year. It's important to note that percentages are a way of representing fractions out of 100.
In the first year, the lacrosse league has 20 teams.
In the second year, the number of teams increases by 20%, which is 20/100 x 20 = 4. Therefore, the number of teams in the second year is 20 + 4 = 24.
In the third year, the number of teams decreases by 25% from the second year, which is 25/100 x 24 = 6. Hence, the number of teams in the third year is 24 - 6 = 18.
Therefore, there are 18 teams in the lacrosse league in the third year.
It's important to note that percentages are a way of representing fractions out of 100. In the second year, the 20% increase can also be written as a multiplication factor of 1.2 (1 + 20/100). Similarly, the 25% decrease in the third year can be written as a multiplication factor of 0.75 (1 - 25/100). Using these multiplication factors can make it easier to calculate the number of teams in each year.
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these box plots show daily low temeratures for a samle of days in two different towns
which statement is the most appropriate comparsion of the centers
Answers
The correct statement about the center of both box plots is the median for Town A, 30° is greater median for Town B, 25°
What is the correct statement?A box plot is used to study the distribution of a dataset. The box plot consists of two lines and a box. The two lines are known as whiskers. The whiskers represent the minimum and maximum numbers.
On the box, the first line to the left represents the lower (first) quartile. The next line on the box represents the median. The third line on the box represents the upper (third) quartile.
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find the first four terms of the taylor series for the function 2x about the point a=1. (your answers should include the variable x when appropriate.)
Answers
The first four terms of the Taylor series for the function (2x) about the point (a=1) are (2x + 2x - 2).
What are the initial terms of the Taylor series expansion for (2x) centered at (a=1)?To find the first four terms of the Taylor series for the function (2x) about the point (a = 1), we can use the general formula for the Taylor series expansion:
\(\[f(x) = f(a) + f'(a)(x-a) + \frac{f''(a)}{2!}(x-a)^2 + \frac{f'''(a)}{3!}(x-a)^3 + \ldots\]\)
Let's calculate the first four terms:
Starting with the first term, we substitute
\(\(f(a) = f(1) = 2(1) = 2x\)\)
For the second term, we differentiate (2x) with respect to (x) to get (2), and multiply it by (x-1) to obtain (2(x-1)=2x-2).
\(\(f'(a) = \frac{d}{dx}(2x) = 2\)\)
\(\(f'(a)(x-a) = 2(x-1) = 2x - 2\)\)
Third term: \(\(f''(a) = \frac{d^2}{dx^2}(2x) = 0\)\)
Since the second derivative is zero, the third term is zero.
Fourth term:\(\(f'''(a) = \frac{d^3}{dx^3}(2x) = 0\)\)
Similarly, the fourth term is also zero.
Therefore, the first four terms of the Taylor series for the function (2x) about the point (a = 1) are:
(2x + 2x - 2)
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If you rent a car, you have the following options
1. return in with a full gas tank
2. return it without filling at and pay $5.45/ gallon
3. accept a fixed price of $50 fro gasoline
You expect this car to get 28 miles per gallon. The car has a 16 -gallon tank Current gas price is $3.95/gal. What choice should you make if you expect to 150 miles? Solution:
1. Total gasoline consumed gallons;
2. Option 1 cost: __dollars;
3. Option 2 cost: __dollars;
4. Option 3 cost: __dollars;
Answers
If you rent a car, you should choose Option 3 and accept the fixed price of $50 for gasoline if you expect to drive 150 miles.
1. Total gasoline consumed (gallons):
To calculate the total gasoline consumed, divide the expected distance by the car's fuel efficiency:
Total gasoline consumed = Distance / Fuel efficiency
Total gasoline consumed = 150 miles / 28 miles per gallon
Total gasoline consumed ≈ 5.36 gallons
2. Option 1 cost:
In Option 1, you need to return the car with a full gas tank. Since the car has a 16-gallon tank and you've consumed approximately 5.36 gallons, you need to fill up the remaining 16 - 5.36 = 10.64 gallons.
Option 1 cost = 10.64 gallons * $3.95 per gallon = $42.01
3. Option 2 cost:
In Option 2, you return the car without filling it up and pay $5.45 per gallon. As calculated before, you've consumed approximately 5.36 gallons.
Option 2 cost = 5.36 gallons * $5.45 per gallon = $29.20
4. Option 3 cost:
In Option 3, you accept the fixed price of $50 for gasoline. This fixed price is the most cost-effective option compared to the other two choices.
Therefore, the best choice is Option 3, accepting the fixed price of $50 for gasoline, as it offers a better value for the expected distance of 150 miles.
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Rachel is a stunt driver, and she's escaping from a building that is about to explode! the variable d models rachel's distance from her exit (in meters) ttt seconds after the cameras began recording the stunt. d=-38t + 220, what is rachel's speed?
Answers
Its speed of Rachel would be 30 meters per second.
Given that,
Stunt driver Rachel is trying to get out of a building that is going to blow up.
Here, the equation is,
\(d = - 38t + 220\)
Where, variable d models Rachel's distance from her exit (in meters) t seconds after the cameras began recording the stunt.
Now, Velocity is the rate at which a distance changes over time.
\(d = - 38t + 220\)
\(\dfrac{d(d)}{dt} = - 38\)
Hence, Speed is the magnitude of velocity.
\(|- 38| = 38\)
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A market research group wants to find out which of two brands of shoes causes blisters more often. They are considering three methods of gathering data:
Randomly choose 100 people. Ask them what shoes they typically wear and how often they tend to get blisters.
Randomly choose 50 people to wear on brand of shoes, and another 50 to wear the other brand. Compare the number of blisters that each group gets over the course of a month.
Find a group of 50 people that own the first brand of shoes, and another 50 people that own the second brand. Monitor how many blisters each group gets. Tell whether each method of gathering data is a survey, an observational study, or an experiment. Which option would give the most reliable results?
Answers
The three methods of gathering data can be classified as follows:
Random survey of 100 people - survey
Random assignment of 50 people to each brand and comparing the number of blisters - experiment
Finding groups of 50 people for each brand and monitoring the number of blisters - observational study
The option that would give the most reliable results would be the randomized experiment (option 2), where the two groups of people are randomly assigned to wear one brand of shoes or the other, and then the number of blisters is compared between the two groups. This method allows for the control of other variables that could affect the occurrence of blisters, such as the activities or environments of the participants. The observational study (option 3) could be affected by other variables that are not controlled, such as the type of activities or environments the participants engage in. The survey method (option 1) relies on self-reported data, which may not always be accurate or representative of the entire population.
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PLEASE ILL DO ANYTHING I ALREADY OFFERED AS MUCH POINTS AS POSSIBLE
Answers
Answer:
A, B, D, E
Step-by-step explanation:
Given expression:
(0.06) · (0.154)When multiplying decimals, multiply as if there are no decimal points:
\(\implies 6 \times 154 = 924\)
Count the number of digits after the decimal in each factor:
0.06 → 2 digits0.154 → 3 digitsTherefore, there is a total of 5 digits.
Put the same number of total digits after the decimal point in the product:
\(\implies (0.06) \cdot (0.154)=0.00924\)
-----------------------------------------------------------------------------------------------
Answer option A
\(\boxed{6 \cdot \dfrac{1}{100} \cdot 154 \cdot \dfrac{1}{1000}}\)
When dividing by multiples of 10 (e.g. 10, 100, 1000 etc.), move the decimal point to the left the same number of places as the number of zeros.
Therefore:
6 ÷ 100 = 0.06154 ÷ 1000 = 0.154\(\implies 6 \cdot \dfrac{1}{100} \cdot 154 \cdot \dfrac{1}{1000}=(0.06) \cdot (0.154)\)
Therefore, this is a valid answer option.
Answer option B
\(\boxed{6 \cdot 154 \cdot \dfrac{1}{100000}}\)
Multiply the numbers 6 and 154:
\(\implies 6 \times 154 = 924\)
Divide by 100,000 by moving the decimal point to the left 5 places (since 100,000 has 5 zeros).
\(\implies 6 \cdot 154 \cdot \dfrac{1}{100000}=0.00924\)
Therefore, this is a valid answer option.
Answer option C
\(\boxed{6 \cdot (0.1) \cdot 154 \cdot (0.01)}\)
Again, employ the technique of multiplying decimals by first multiplying the numbers 6 and 154:
\(\implies 6 \cdot 154 = 924\)
Count the number of digits after the decimal in each factor:
0.1 → 1 digit0.01 → 2 digitsTherefore, there is a total of 3 digits.
Put the same number of digits after the decimal point in the product:
\(\implies 0.924\)
Therefore, as (0.06) · (0.154) = 0.00924, this answer option does not equal the given expression.
Answer option D
\(\boxed{6 \cdot 154 \cdot (0.00001)}\)
Again, employing the technique of multiplying decimals.
As there are a total of 5 digits after the decimals:
\(\implies 6 \cdot 154 \cdot (0.00001)=0.00924\)
Therefore, this is a valid answer option.
Answer option E
\(\boxed{0.00924}\)
As we have already calculated, (0.06) · (0.154) = 0.00924.
Therefore, this is a valid answer option.
Somebody help me please
Answers
Answer:
smallest to largest
-10 -8 0 2
Which of these expressions is equivalent to:
3x^3 y^5 + 3x^5 y^ 3 − (4x^5 y^3 − 3x^3 y^5)
Answers
The equivalent expression is: \(-x^5 y^3 + 6x^3 y^5\).
Let's simplify the given expression step by step using the given terms:
Expression:
\(3x^3 y^5 + 3x^5 y^3 - (4x^5 y^3 − 3x^3 y^5)\)
Distribute the negative sign outside the parentheses to the terms inside:
\(3x^3 y^5 + 3x^5 y^3 - 4x^5 y^3 + 3x^3 y^5\)
Combine like terms, which are terms that have the same variables raised to the same power:
\((3x^3 y^5 + 3x^3 y^5) + (3x^5 y^3 - 4x^5 y^3)\)
Add or subtract the coefficients of the like terms:
\(6x^3 y^5 - x^5 y^3\)
So, the simplified expression is:
\(6x^3 y^5 - x^5 y^3\)
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On a multiple-choice test, a student has four possible choices for each question. The student receives 1 point for a correct answer and loses ¼ point for an incorrect answer. If the student has no idea of the correct answer for a particular question and merely guesses, what is the student's expected gain or loss on the question? Suppose you were using an
Answers
Answer:
1 / 16
Step-by-step explanation:
Number of options = 4
Number of correct answers = 1
Number points gained for a correct answer = 1
Number of points lost for an incorrect answer = 1/4 = 0.25
Probability of choosing a correct option = 1/4
Probability of choosing an incorrect option = 3/4
x ____ 1 ______ - 1/4
P(x) __ 1/4 ______ 3/4
Expected gain or loss :
E(x) = Σx*p(x)
E(x) = (1 * 1/4) + (-1/4 * 3/4)
E(x) = 1/4 - 3/16
E(x) = (4 - 3) / 16
E(x) = 1 /16
A gain of 1/16
suppose there is a bag with 50 balls. 20 red, 15 blue, 5 pink, 10 green. you choose 2 balls at random without replacement. what is the chance you picked 1 red and 1 blue?
Answers
The chance that we picked 1 red and 1 blue is 0.2448 or 24.48%.
When we choose two balls at random without replacement, there are 50C2 = (50*49)/(2*1) = 1225 ways to choose two balls from 50 balls. Using the conditional probability formula, P(A and B) = P(A) * P(B|A), where A is the event of choosing a red ball and B is the event of choosing a blue ball.
P(A) = (20/50) = 0.4 (Probability of choosing a red ball at random from the bag)
P(B|A) = (15/49) = 0.306 (Probability of choosing a blue ball at random from the bag after choosing a red ball in the first trial)
Similarly, P(B) = (15/50) = 0.3 (Probability of choosing a blue ball at random from the bag)
P(A|B) = (20/49) = 0.408 (Probability of choosing a red ball at random from the bag after choosing a blue ball in the first trial)
Therefore, P(choosing one red and one blue) = P(A and B) + P(B and A) = P(A) * P(B|A) + P(B) * P(A|B)
= 0.4 * 0.306 + 0.3 * 0.408
= 0.1224 + 0.1224
= 0.2448 or 24.48%
Therefore, the chance that we picked 1 red and 1 blue is 0.2448 or 24.48%.
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Solve inequality -4x+5<-5
please hurry
Answers
Answer: x > \(\frac{5}{2}\)
Step-by-step explanation:
-4x + 5 < -5
Subtract 5 from both sides
-4x < - 10
Divde each side by -4
x < -10 / -4
Dividing each side by a negative number flips the inequality
x > - 10 / -4
- 10 / -4 = 10 / 4 = 5/2
x > 5/2
Answer:
-4x+5<-5
-4x<-5-10
-4x<-15
-4x/-4>-15/-4
x>15/4
Which number is divisible by both 3 and 9?
A) 21,369
OB) 27,621
OC) 27.629
OD) 36.663
Answers
Answer:
boi just use a claculator
Step-by-step explanation:
bye luve
Answer: A 21,369
Explanation I got it right on the test :)
The product of 2 and a number x is 34.
What is the value of x?
x=54
x=38
x=114
x=32
Pls help me with this guyssss plssss ( I will give brainliest too!) :)
Answers
x = 17
Step-by-step explanation:
The product of 2 and a number x is 34 =
2x = 34
x = 34/2
x = 17
Answer:
x=17
Step-by-step explanation:
Product means multiply is means equals
2x = 34
Divide each side by2
2x/2 = 34/2
x = 17
Omar invests £6000 for 4 years in a savings account. He will get 1.5 % per year compound interest. Work out the total amount of that will be in Omar accounts by the end of the 4 years. Round your answer to the nearest pound.
The answer is either
6361
6369
6360
Or 6368
Answers
Answer:
£6368
Step-by-step explanation:
You can start by making a formula, which will be:
100/100=1
1.5/100=0.015
1+0.015=1.015 (your multiplyer)
6000*1.015^n= your money after 4 years
(n represents the number of years)
Now you just put in the number of years:
6000*1.015^4=6368.181304
Now round:
Answed= £6368
work out the equation of the line which has a gradient of 2 and passes through the point (1,4).
Answers
Answer:
y = 2x + 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope (gradient) and c the y- intercept )
Here m = 2 , then
y = 2x + c ← is the partial equation
To find c substitute (1, 4) into the partial equation
4 = 2 + c ⇒ c = 4 - 2 = 2
y = 2x + 2 ← equation of line
Answer: y=2x+2
Step-by-step explanation:
what does it mean by give your answer in 'terms of pi' ??
please help me and thanks
Answers
Therefore, the area of the quarter circle of radius 8 cm is 16π square centimeters (or approximately 50.2655 square centimeters if we use a decimal approximation for π).
What is circle?A circle is a two-dimensional shape that is defined as the set of all points that are a fixed distance (called the radius) from a central point (called the center) in a plane. It is one of the most basic geometric shapes and is often used in a variety of mathematical and scientific contexts. One important thing to note about circles is that they are symmetrical: any line passing through the center of a circle divides the circle into two halves that are mirror images of each other. Circles are commonly used in a variety of contexts, including geometry, trigonometry, physics, engineering, and many other fields. They are also used in everyday life, such as in the design of wheels and other circular objects, the calculation of the areas of circular fields or gardens, and the measurement of circular objects like plates and bowls.
Here,
The formula for the area of a quarter circle is given by:
A = (1/4)πr²
where A is the area of the quarter circle, r is the radius of the circle, and π is the mathematical constant pi (approximately 3.14159).
In this case, the radius of the quarter circle is 8 cm, so we can substitute this value into the formula and simplify as follows:
A = (1/4)π(8 cm)²
A = (1/4)π(64 cm²)
A = 16π cm²
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A store manager wants to have a sales promotion where he gives prizes to the first several people through the door. The manager wants each person to receive the exact same items and in the same amount. He also wants to distribute all of the prizes. The manager has 280 pins, 200 ornaments, and 60 mugs to distribute.
If the manager wants to give prizes to as many people as possible, how many people will get gifts?
80
4,200
20
200
Answers
Which shows the prime factorization of the number 18 A2.9
B 2. 2. 3.3
C 3.6
D 2.32
Answers
Answer:
A & C
Step-by-step explanation:
Factors of 18 : 1, 2, 3, 6, 9, 18
18
/\
2 9
/\
3 3
Prime factorization : 18 = 2x3x3
18
/\
3 6
/\
2 3
Prime factorization : 18 = 3x2x3
Find the probability of exactly 4 successes in 6 trials of a binomial experiment in which the probability of success is 40%
Answers
Answer:
0.13824
Step-by-step explanation:
You want the probability of exactly 4 successes in 6 trials if the probability of success in each trial is 0.4.
Binomial probabilityThe probability of k successes in n trials with each having a probability of success of p is given by the formula ...
P(k of n) = nCk·p^k·(1-p)^(n-k)
P(4 of 6) = 6C4·0.4^4·0.6^2 = 15·0.0256·0.36 = 0.13824
The probability of exactly 4 successes is 0.13824.
__
Additional comment
The binomial coefficient nCk is computed as ...
nCk = n!/(k!(n-k)!)
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organizations that build __________ information systems create systems that are paramount to business success.
A. collaborative
B. office
C. networked
D. strategic
E. none of these information systems
Answers
Organizations that build strategic information systems create systems that are paramount to business success. The correct option is(D).
Strategic information systems are those that support the long-term goals and objectives of an organization, aligning the use of technology with the strategic direction of the business. These systems provide a competitive advantage by enabling the organization to achieve its strategic goals and objectives more efficiently and effectively.
They typically involve the integration of different types of information systems, such as transaction processing systems, decision support systems, and executive information systems, to support the decision-making process at all levels of the organization.
By building strategic information systems, organizations can improve their overall performance, enhance their operational efficiency, and gain a competitive advantage in the marketplace.
Such systems can help organizations to better understand their customers, identify new market opportunities, improve supply chain management, and optimize business processes.
In today's rapidly changing business environment, strategic information systems are essential for organizations to remain competitive and achieve long-term success.
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what is the mass to the nearest tenth of a gram of 3.50 moles of sodium metal?
Answers
Answer:
The mass of 3.5 moles of Ca (Sodium) is 140 g to two significant figures.
Points G (-5,-8) and H (3,7) are plotted on a coordinate grid. Point J is plotted so that GH is the hypotenuse of the right triangle formed by joining the three points. What are the coordinates of point J? Select all that are possible.
(-3,-8)
(5,-7)
(-3,8)
(-5,7)
(3,8)
(5,7)
(-5,-7)
(3,-8)
(question 5.)
Answers
The coordinates of point J so that GH is the hypotenuse of the right triangle formed by joining the three points will be (3,-8).
What is a right-angle triangle?It is a triangle in which one of the angles is 90 degrees and the other two are sharp angles. The sides of a right-angled triangle are known as the hypotenuse, perpendicular, and base.
Given is a coordinate grid with the points G (-5, -8) and H (3, 7) plotted on it. In order for GH to be the hypotenuse of the right triangle created by joining the three points, point J is plotted.
Thus, the coordinates of point J so that GH is the hypotenuse of the right triangle formed by joining the three points will be (3,-8).
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Betty and Bill just won $10,000 in the Pennsylvania state lottery. They decide to spend $3,000 now and put the remaining $7,000 in an investment earning 8 percent compounded annually. If they use the money in that investment for a vacation in five years, approximately how much will they have available to spend on that vacation?
Answers
Answer:
$10285.29
Step-by-step explanation:
The idea is to solve for the final amount when $7000 is invested and compounded
given data
principal= $7000
rate= 8%= 0.08
time =5years
We know that the expression for the final amount is
\(A = P(1 + {r)^{t}\)
A = 7000(1 + {0.08)^5
A=7000(1.08)^5
A=7000(.469328)
A= 10285.29
They have available to spend on that vacation $10285.29
Use f(x) log6(36x) and g(x) = 6* to answer the questions below. (a) Find f(g(x)) and simplify. 36+ x 36x 6 + x 2+ x 2x (b) Find the range of y f(x) +g(x) (-0, ) [6, 00) (0, o) O[1, 0o) O (1/36, o)
Answers
To find f(g(x)), substitute g(x) into f(x). Simplifying gives f(g(x)) = log6(36g(x)). For range of y in f(x) + g(x), Take possible values . Since log6(36x) is defined for x > 0, and 6 is positive, the range of y is (0, ∞).
a) To find f(g(x)), we substitute g(x) into f(x):
f(g(x)) = f(6x) = log6(36(6x)) = log6(216x) = log6(6^3x) = 3log6(6x) = 3(log6(6) + log6(x)) = 3(1 + log6(x)) = 3 + 3log6(x).
Thus, f(g(x)) simplifies to 3 + 3log6(x).
(b) To find the range of y in f(x) + g(x), we need to consider the possible values of f(x) and g(x). Since log6(36x) is defined for x > 0, and 6* is always positive, the range of f(x) is (0, ∞). Similarly, g(x) = 6* is always positive, so the range of g(x) is also (0, ∞).When we add f(x) and g(x), we are adding two positive functions, resulting in values greater than 0. Therefore, the range of y in f(x) + g(x) is (0, ∞).
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3. The graph represents the cost per person at
a pottery painting
studio. Find the
rate of change.
TOTAL COST ($)
5. Find the slope of
45
988 38994
40
30
15
2-3
# OF PEOPLE
A.
12
thr
D.
Answers
Answer:
the answer is 45/100=9/50 according to my solution
A school basketball team spent 44% of its fundraiser earnings to purchase new uniforms. What fraction of the fundraiser earnings was spent on new uniforms?
Answers
Answer:
11/25 of the earnings were spent on new uniforms.
Step-by-step explanation:
Hope this helps! :)
how do we solve this
Answers
Step-by-step explanation:
you just have to use the definition of union and cross section
brainliest, 100 points, and its multiple choice!!!!
Answers
Answer:
Answer is C
(-2,3)
Step-by-step explanation:
Answer:
(-8, 18)
Step-by-step explanation:
To solve this system of equations using elimination, we want to eliminate one of the variables by adding or subtracting the two equations.
One way to do this is to multiply the second equation by a constant that will make the coefficient of x the same as in the first equation. In this case, we can multiply the second equation by -5, which will give us:
-15x - 10y = -60
Now we can add this equation to the first equation:
5x + 2y = -4
-15x - 10y = -60
-10x - 8y = -64
Dividing both sides by -2, we get:
5x + 4y = 32
Now we have one equation with only x and y, so we can solve for either variable.
Let's solve for y by subtracting 5x from both sides:
5x + 4y = 32
-5x = -5x
4y = 32 - 5x
Dividing both sides by 4, we get:
y = (32 - 5x) / 4
Now we can substitute this expression for y into one of the original equations to solve for x. Let's use the first equation:
5x + 2y = -4
5x + 2[(32 - 5x) / 4] = -4
Multiplying both sides by 4, we get:
20x + 2(32 - 5x) = -16
Simplifying, we get:
20x + 64 - 10x = -16
10x = -80
x = -8
Now we can substitute this value of x into either of the equations to solve for y. Let's use the first equation again:
5x + 2y = -4
5(-8) + 2y = -4
-40 + 2y = -4
2y = 36
y = 18
Therefore, the solution to the system of equations is (x, y) = (-8, 18).