With which information can you construct more than one triangle?
A.the measurements of two angles
B.the measurements of two angles and the length of the included side
C.the measurements of all the angles
D.the lengths of two sides and the measurement of the included angle
Answers
Answer:
b & d
Step-by-step explanation:
Related Questions
A student bikes 5000 m East to school in 30.0 min (1800 seconds), realizes he forgot his calculator for physics, spends 30.0 min (1800 seconds) going back going home, and then races back to school in 27.0 minutes (1620 seconds).
What is the student’s total distance traveled?
_______ meters
The number of seconds it took the student to travel back and forth is ________
seconds.
Determine the student’s average speed. ________
m/s
Answers
The total distance covered is 15000 m. The total time taken is 5220 seconds and the speed is 2.87 m/s.
What is the speed?We know that speed has to do with the ratio of the distance that has been covered to the time taken. The speed is a scalar quantity and as such we do not consider the direction hence we would not consider that going back in the opposite direction. The total distance can be obtained algebraically.
The total distance that the student travelled can be obtained from;
5000 m + 5000 m + 5000 m
= 15000 m
The total time taken in seconds = 1800 seconds + 1800 seconds + 1620 seconds
= 5220 second
Speed = Distance/ Time
= 15000 m/5220 second
= 2.87 m/s
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Chika's uncle makes perfect brownies. Chika noted how much sugar he uses based on how many batches
he makes:
Answers
Answer:
7.5 batches
Step-by-step explanation:
if he uses 0.6kg of sugar per 2 batches, it's 0.3kg per batch.
2.25kg would let us make
2.25kg / 0.3kg = 2.25 / 0.3 = 7.5 batches
Complete the table below by finding the unknown principal P, rater, time t, and interest /.
Principal P
(a)
480,000
250,000
980,000
Rate r
6%
(b)
5.5%
0.8%
Time t
10
15
(c)
3.5
Interest /
9,000
180,000
68,750
(d)
12
Answers
Answer:
use these formulas to solve
Step-by-step explanation:
Principal( P) = interest / rate x time
Rate (R) = intrest / principal x time
Intrest (I) = PRT
We described numbers in this lesson using both powers of 10 and using standard decimal value. For example, the speed of light through ice can be written as a multiple of a power of 10, such as (2.3)⋅108 meters per second, or as a value, such as 230,000,000 meters per second. Use the number line to answer questions about points A and B.
Describe point B as:
a. A multiple of a power of 10
Describe point A as:
a. A multiple of a power of 10
Answers
Solving a word problem on proportions using a unit rate
Dante drove 871 miles in 13 hours.
At the same rate, how long would it take him to drive 603 miles?
Answers
The unit rate of miles per hour is:
871 miles ÷ 13 hours = 67 miles per hour
This means that Dante drove at a rate of 67 miles per hour.
To find out how long it would take him to drive 603 miles at the same rate, we can set up a proportion:
871 miles ÷ 13 hours = 603 miles ÷ x hours
We can cross-multiply to solve for x:
871x = 13 * 603
871x = 7,839
x = 9
Therefore, it would take Dante 9 hours to drive 603 miles at the same rate of 67 miles per hour.
The measure of an angle is 1°. Find the measure of the complement.
Answers
The measure of the complement of a 1-degree angle is 89 degrees.
The complement of an angle is defined as the angle that, when added to the given angle, results in a sum of 90 degrees. To find the measure of the complement of a 1-degree angle, we need to determine the angle that, when added to 1 degree, equals 90 degrees.
Let's denote the measure of the complement as x degrees. According to the definition, we can set up the equation:
1 degree + x degrees = 90 degrees.
To solve for x, we need to isolate it on one side of the equation. By subtracting 1 degree from both sides, we have:
x degrees = 90 degrees - 1 degree.
Simplifying the right side, we get:
x degrees = 89 degrees.
In summary, when an angle measures 1 degree, its complement measures 89 degrees. Complementary angles are pairs of angles that add up to 90 degrees. In this case, since the given angle measures only 1 degree, its complement is significantly larger, nearly forming a right angle. The concept of complementary angles is fundamental in geometry and can be applied to various problems involving angles and their relationships.
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A certain first covers an area of 4100 km^2. Each year this area decreases by 3.75 percent. What will the area be after 11 years?
Answers
The formula to use is
A = P(1+r)^t
where,
A = final amount after t years
P = initial amount = 4100
r = rate of increase or decay = -3.75% = -3.75/100 = -0.0375
t = number of years = 11
The value of r is negative to indicate exponential decay. Also notice that I divided by 100 to convert from -3.75% to -0.0375
Using those values, we plug them into the formula to get,
A = P(1+r)^t
A = 4100(1+(-0.0375))^11
A = 4100(1-0.0375)^11
A = 4100(0.9625)^11
A = 4100*0.65676215615721
A = 2692.72484024457
A = 2693
Rounding to the nearest whole number, the answer is approximately 2693 km^2.
The IQ scores and science test scores of fourth grade students is given by the line of best fit ŷ = −20.3 + 0.7489s, where ŷ is the predicted science score and s is the IQ score. An actual science test score for a student is 52.6 with an IQ of 100.
Find and interpret the residual.
−1.99; The line of best fit underpredicts the student's science test score.
1.99; The line of best fit overpredicts the student's science test score.
1.99; The line of best fit underpredicts the student's science test score.
−1.99; The line of best fit overpredicts the student's science test score.
Answers
-19.99; The line of best fit underpredicts the student's science test score.
So correct option is A.
What do you mean by prediction?A prediction is an estimation or forecast about future events or conditions, based on past data and trends, current information, and/or mathematical models. Predictions can be made in various fields, such as finance, weather, sports, social sciences, and natural sciences. The accuracy of predictions depends on many factors, including the quality of the data used, the assumptions made, the complexity of the system being analyzed, and the reliability of the methods used. Predictions are not always accurate and are often subject to revision as new information becomes available.
The predicted science score for the student with IQ 100 can be calculated using the line of best fit:
ŷ = −20.3 + 0.7489 * 100 = 71.59
The residual is the difference between the actual science test score and the predicted science score:
residual = actual score - predicted score = 52.6 - 71.59 = -19.99
So the line of best fit underpredicts the student's science test score by 19.99 points.
Therefore, the residual is:
-19.99; The line of best fit underpredicts the student's science test score.
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3:Let f be a quadratic function such that
f(x) = ax² +bx+c = a (x-h)² + k
If k < 0, for what values of a will f(x) have no real zeros?
O a=0
O a<0
O azo
4.
O a>0
O aso
none of the answer choices
Answers
Answer:
O a=0
Step-by-step explanation:
Jotham needs 18 liters of a 80% alcohol solution. He has a 30% and a 90% solution available. How many liters of the 30% and how many liters of the 90% solutions should he mix to make the 80% solution?
Answers
The amounts of each solution that he should use are given as follows:
30% solution: 3 liters.90% solution: 15 liters.How to obtain the amounts of each solution?The amounts of each solution are obtained by a system of equations, for which the variables are given as follows:
x: amount of the 30% solution.y: amount of the 90% solution.The total solution is of 18 liters, hence:
x + y = 18.
x = 18 - y.
The final concentration is of 80%, hence:
0.3x + 0.9y = 0.8 x 18
0.3x + 0.9y = 14.4.
As x = 18 - y, the value of y is obtained as follows:
0.3(18 - y) + 0.9y = 14.4
0.6y = 9
y = 9/0.6
y = 15.
Hence the value of x is obtained as follows:
x = 18 - y
x = 18 - 15
x = 3.
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Pls answer quick i don't understand this
Answers
The given expression is 4x + 2 + 7y. The true statements about this expression are:
7 is a coefficient4x + 2 + 7y is written as the sum of three terms2 is a constantWhat is an expression?An expression is formed by the terms connected with the arithmetic operations. Where the terms are formed by the coefficients and variables. A constant is also said to be a term in the expression.
Example: ax + by + c = 0; here there are 3 terms, ax, by and c, two variables x and y, and one constant c. The constant or numerals with the variables are said to be coefficients.
Calculation:The given expression is 4x + 2 + 7y.
The expression has 3 terms. they are 4x, 2, 7y.
There are two variables x and y.
The coefficients for these variables are 4 and 7 respectively.
The numeral 2 is a constant in the given expression.
So, statements 1, 3, and 4 are true.
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Desmond is 5 inches taller than Niki.
If we let
represent Niki's height in inches, write an algebraic expression for Desmond's height.
Answers
A tank is full of water. Find the work (in ft-lb) required to pump the water out of the spout. Use the fact that water weighs 62.5 lb/ft3. (Round your answer to the nearest whole number.) 3 ft6 ft12 ft A frustum of a cone with a spout is given. The smaller radius is 3 ft, the larger radius is 6 ft, and the height is 12 ft.
Answers
The work required to pump the water out of the spout is approximately 64,307,077 ft-lb
To find the work required to pump the water out of the spout, we need to calculate the weight of the water in the tank and then convert it to work using the formula: work = force × distance.
First, let's calculate the volume of water in the tank. The frustum of a cone can be represented by the formula: V = (1/3)πh(r1² + r2² + r1r2), where r1 and r2 are the radii of the two bases and h is the height.
Given r1 = 3 ft, r2 = 6 ft, and h = 12 ft, we can calculate the volume:
V = (1/3)π(12)(9 + 36 + 18) = 270π ft³
Now, we can calculate the weight of the water using the density of water:
Weight = density × volume = 62.5 lb/ft³ × 270π ft³ ≈ 53125π lb
Next, we convert the weight to force by multiplying it by the acceleration due to gravity (32.2 ft/s²):
Force = Weight × acceleration due to gravity = 53125π lb × 32.2 ft/s² ≈ 1709125π lb·ft/s²
Finally, we can calculate the work by multiplying the force by the distance. Since the water is being pumped out of the spout, the distance is equal to the height of the frustum, which is 12 ft:
Work = Force × distance = 1709125π lb·ft/s² × 12 ft ≈ 20509500π lb·ft ≈ 64307077 lb·ft
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Hi i need help on this im not that smart sorry, what is the x-intercept of the graph that is shown below
Answers
Answer:
(3, 0)
Step-by-step explanation:
x-intercept is where the line touches the x-axis
It is the point on the line where y=0
Answer:
3,0
Step-by-step explanation:
the point where the line cuts the x axis is the x-intecept
Aiden leans a 30-foot ladder against a wall so that it forms an angle of 78^{\circ} ∘ with the ground. What’s the horizontal distance between the base of the ladder and the wall? Round your answer to the nearest hundredth of a foot if necessary.
Answers
Answer:
6.2 approx i believe
Step-by-step explanation:
Consider the algebraic expression √ 7 x 18 + 12.1 x 15 + π 4 x 6 + 1 9 . What is the degree of this polynomial? Identify the leading coefficient. Identify the leading term.
Answers
The degree of the provided polynomial is 18, and the leading term is √7.
What is an expression?It is defined as the combination of constants and variables with mathematical operators.
We have given an expression:
\(= \rm \sqrt{7}x ^{18} + 12.1x^{ 15} + \pi 4 x^ 6 + 1 9\)
As we can see in the expression the greatest degree is 18.
So the degree of the polynomial is 18
And the coefficient of the variable which has a height degree is the leading term.
The leading term = √7
Thus, the degree of the provided polynomial is 18, and the leading term is √7.
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Hash 1 has an input data which is 2 characters long while Hash 2 has an input data which is 300000 characters long. Choose the correct option
Answers
The correct option on Hash 1 and Hash 2 is C. Hash 1 is designed to work with small input data, while Hash 2 is optimized for processing large input data.
What is the difference between Hash 1 and Hash 2 ?The main difference between Hash 1 and Hash 2 is the amount of input data they can process. Hash 1 can process input data that is 2 characters long, while Hash 2 can handle input data that is up to 300,000 characters long. This means that Hash 2 is better suited for processing larger datasets than Hash 1.
In terms of which hash function is better suited for different types of data, it depends on the specific application and the characteristics of the data being processed. For example, if the data being hashed is small and of low complexity, Hash 1 may be a good choice due to its speed and simplicity.
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The options for this question include:
Hash 1 is designed to work with large input data, while Hash 2 is optimized for processing small input data.Hash 1 is designed to work with small input data, while Hash 2 is optimized for processing small input data. Hash 1 is designed to work with small input data, while Hash 2 is optimized for processing large input data.Hash 1 is designed to work with large input data, while Hash 2 is optimized for processing large input data.Solve: 2m³-5m² - 7m = 0
Answers
Answer:
m = - 1 , m = 0 , m = \(\frac{7}{2}\)
Step-by-step explanation:
2m³ - 5m² - 7m = 0 ← factor out common factor m from each term
m(2m² - 5m - 7) = 0
factorise the quadratic 2m² - 5m - 7
consider the factors of the product of the coefficient of the m² term and the constant term which sum to give the coefficient of the m- term
product = 2 × - 7 = - 14 and sum = - 5
the factors are + 2 and - 7
use these factors to split the m- term
2m² + 2m - 7m - 7 ( factor the first/second and third/fourth terms )
2m(m + 1) - 7(m + 1) ← factor out (m + 1) from each term
(m + 1)(2m - 7)
then
2m³ - 5m² - 7m = 0
m(m + 1)(2m - 7) = 0 ← in factored form
equate each factor to zero and solve for m
m = 0
m + 1 = 0 ( subtract 1 from both sides )
m = - 1
2m - 7 = 0 ( add 7 to both sides )
2m = 7 ( divide both sides by 2 )
m = \(\frac{7}{2}\)
solutions are m = - 1 , m = 0 , m = \(\frac{7}{2}\)
The population of a city has decreased by 27% since it was last measured. If the current population is 7300, what was the previous population?
Answers
Answer:
the answer is 9271
Step-by-step explanation:
if 7300 is 73%, then you need to add 27% to get 100% which is 9271
On (07.03) Choose the correct simplification of the expression b5.54. (1 point)
Answers
explanation/ Working:
\(c^2.c^9=c^2\times c^9=c^{2+9}=c^{11}\)Rule on iindex says when the base is same, you should add the powers
\(c^2.c^9=\text{ (c}\times c)\times(c\times c\times c\times c\times c\times c\times c\times c\times c)=c^{11}\)Evaluate this expression
4cd
if
C = -4 and d = 3
Answers
Answer:
-48
Step-by-step explanation:
4(-4)(3)
-16(3)
-48
Answer:
4(-4) (3)
Step-by-step explanation:
put that in your calccalculator:)
I'll Give brainliest to whoever answers is correct
Answers
Answer:
52
Step-by-step explanation:
RTQ is 52 because if PTR is a right angle, right angles equal 90 degrees. So if PTQ is 38 degrees, we subtract 38 from 90 to get RTQ. 90-38 equals 52.
Answer:
52 degrees
Step-by-step explanation:
right angle = 90
90-38=52
So RTQ = 52 degrees
A study is done to determine the average salary for all Santa Clara County teachers. If we were to randomly pick 15 schools in Santa Clara County and average together the salaries of all teachers, would this be a good sampling technique or a bad sampling technique
Answers
Answer:
Good sampling technique
Step-by-step explanation:
In other to determine the mean value for a population, it may be necessary to make inference from the a small subset of the population, called the sample, if it is impossible, difficult or inefficient to get all population data. Hence, in other to select a subset of the population, then the sample must be selected at random, such that all elements of the population have equal chances of being selected and hence, be representative of the population. Since, the sampling technique adopted above is done at random, hence, it is a good sampling technique.
2 + 2. what is the sum
Answers
Answer: 4
Step-by-step explanation:
Answer:4
2+2=4 if I have two apples and pick up two more I now have 4 total
Can someone pls im begging help me with this!!
Answers
Answer:
31
Step-by-step explanation:
Coffee Roasters has five main markets for the distribution of their premium coffee at the location coordinates given in the table below. The monthly demand at each distribution center (in 000's of lbs.) is also provided. Coffee Roasters is interested in locating a distribution center to serve these markets.
Table 2
Markets
Coordinates Demand
(‘000s lbs.)
A (20, 15) 75
B (10, 12) 50
C (15, 10) 60
D (15, 20) 80
E (12, 12) 50
Use the information in Table 2 above. What are the x and y coordinates for the center of gravity?
Answers
The center of gravity of the distribution center is located at (14.84, 12.84)
What is the center of gravity?The center of gravity is a point at which the total weight of a body can be thought to be located for calculation purposes.
The coordinates of the five distribution centers using the x and y coordinates are;
A(20, 15) 75, B(10, 12) 50, C(15, 10) 60, D(15, 20) 80, E(12, 12) 50
The center of gravity is found using the formula;
\(x = \dfrac{m_1\cdot g\cdot x_1+ m_2\cdot g\cdot x_2 + m_3\cdot g\cdot x_3}{m_1\cdot g+ m_2\cdot g + m_3\cdot g}\)
\(y = \dfrac{m_1\cdot g\cdot y_1+ m_2\cdot g\cdot y_2 + m_3\cdot g\cdot y_3}{m_1\cdot g+ m_2\cdot g + m_3\cdot g}\)
Coordinates of the center of gravity of the distribution center is therefore;
\(x = \dfrac{75\times 20+ 50\times 10+ 60\times 15+80\times 15+50\times 12}{75+50+60+80+50} \approx 14.92\)
\(y = \dfrac{75\times 15+ 50\times 12+ 60\times 10+80\times 20+50\times 12}{75+50+60+80+50} \approx 12.84\)
The coordinates of the center of gravity of the distribution center is; (14.92, 12.840
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Charlotte invested $33,000 in an account paying an interest rate of 7%
compounded continuously. Alyssa invested $33,000 in an account paying an interest
rate of 7% compounded daily. After 19 years, how much more money would
Charlotte have in her account than Alyssa, to the nearest dollar?
Answers
Answer:13058
Step-by-step explanation:
which expression is equivalent to
2x-11x-6
Answers
Answer:
Step-by-step explanation:
The expression 2x - 11x - 6 can be simplified as follows:
2x - 11x - 6 = -9x - 6
So, the equivalent expression is -9x - 6.
The answer is:
-9x - 6
Work/explanation:
To simplify this expression, we combine the like terms :
\(\huge\text{2x - 11x - 6} \\ \\ \\ \text{-9x - 6}\)
There's nothing that we can do for this expression. It's been simplified as much as possible.
Hence, the answer is -9x - 6.if a coin is flipped 35 times and lands on heads 21 times what is the relative frequency of Landing on heads
Answers
Work Shown:
21/35 = (7*3)/(7*5) = 3/5
O:250 degrees
A
In this figure, mzBDA =
• and m2BCA =
Please
Answers
Answer:
∠ BDA = 55° , ∠ BCA = 70°
Step-by-step explanation:
∠ BOA = 360° - 250° = 110° ( angles round a point )
The central angle is twice the angle on the circle, subtended on the same arc
∠ BDA = \(\frac{1}{2}\) ∠ BOA = \(\frac{1}{2}\) × 110° = 55°
OBCA is a tangent kite
Opposite angles sum to 180° , then
∠ BCA = 180° - ∠ BOA = 180° - 110° = 70°