Answer:
Step-by-step explanation:
Everybody gets 2 a piece
U7L2 Cool Down
The measure of the arc from B to A not passing through C is 26 degrees.
1. What is the measure of angle BOA ?
2. What is the measure of angle BDA?
3. What is the measure of angle BCA ?
degrees
degrees
degrees
Using the inscribed angle theorems, the measure of the indicated angles are:
1. m∠BOA = 26°
2. m∠BDA = 13°
3. m∠BCA = 13°
What is the Inscribed Angle Theorems?Based on the inscribed angle theorem, the following relationships are established:
Inscribed angle = 2(measure of intersected arc)Central angle = measure of intersected arcGiven:
Intercepted arc BA = 26°
1. ∠BOA is central angle
Thus:
m∠BOA = 26° (inscribed angle theorems)
2. ∠BDA is inscribed angle.
m∠BDA = 1/2(30) = 13° (inscribed angle theorems)
3. m∠BCA = m∠BDA = 13° (inscribed angle theorems)
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An angle measures 38° less than the measure of its complementary angle. What is the measure of each angle?
Answer:
One angle is 26 degrees and the other is 64 degrees.
Step-by-step explanation:
Complementary angles add up to a total of 90 degrees. Therefore, if one of the two angles is known to be 38 degrees less, then the other angle can be calculated:
90 = (x-38) + (x)
52 = 2x
26 = x
This means that one of the angles is 26 degrees, and the other is 64 degrees.
The high score for a video game i 36,480.your current score is 34,280. Each dragonfly you catch is worth 1 point. You also get 100-point bonus for reaching 35,000 points. Select an inequality that represents the number d of dragonfly’s you must catch to earn a new high score.
The inequality that represents the number d of dragonfly’s you must catch to earn a new high score, d> 1200.
What is Inequality?Mathematical expressions with inequalities are those in which the two sides are not equal. Unlike to equations, we compare two values in inequality. Less than (or less than or equal to), greater than (or greater than or equal to), or not equal to signs are used in place of the equal sign.
Given:
To set a new record, you must score at least
= 36,480 – 34,280
= 2,200 points.
When you have earned 35,000-34,280 points, you need 720 more to qualify for the bonus.
Total = 36,000 points after obtaining 720 dragonflies.
Bonus points = 1000 points.
As, we need more than 480 additional dragonflies to surpass your previous best.
So, The total of all the dragonflies shows that more than 1200 are required.
Then, the inequality is d> 1200.
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Need help! Similarity of triangles
Answer:
x = 12
Step-by-step explanation:
Comparing corresponding sides of the 2 similar Δ 's inside the larger, then
\(\frac{x}{6}\) = \(\frac{6}{3}\) ( cross- multiply )
3x = 36 ( divide both sides by 3 )
x = 12
You roll a die and spin the spinner. How many outcomes are possible?
Answer: 24
Step-by-step explanation:
6 sides on the dice. 4 sections on the spinner.
6 times 4 = 24
24 possible outcomes.
12x −2 + 6 > 3 is.........?
Answer:
x > -1/2 is the answer
Step-by-step explanation:
7. A coin bank contains $12.45 in quarters and dimes. If there are 16 more dimes than quarters,
how many are there of each?
Answer:
x = 40
Step-by-step explanation:
We can set up the following equations to represent the problem:
x = number of quarters
x + 16 = number of dimes
0.25x + 0.1(x + 16) = 12.45
Solving for x, we get:
x = 40
So there are 40 quarters and 56 dimes in the coin bank.
4.5 Draw a diagram representing the scenario and find the requested value. A man is standing 270 feet from the base of a statue. If he man looks up at an angle of 34 degrees to see the top of the statue, how tall is the statuePlease round to the nearest whole foot.
Using the idea of the angle of elevation as it could be applied to the problem, the height of the statue is 182 ft
What is the angle of elevation?When gazing up at an object or point, the angle of elevation is the angle formed between the horizontal plane and the observer's line of sight. It is, in other words, the angle at which the line of sight of an observer is tilted upward from the horizontal plane.
The angle of elevation is an important concept in geometry and trigonometry and is used to calculate the height of objects, such as buildings, towers, or trees, or to measure the distance between two points.
We know that;
Tan 34 = x/270
x = 270 tan 34
x = 182 ft
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A manager wants to test whether two normally distributed and independent populations have equal variances. the appropriate test statistic for this test is a:_____.
A manager wants to test whether two normally distributed and independent populations have equal variances. the appropriate test statistic for this test is a "F-statistics."
What is F-statistics?An F statistic is a value obtained after performing an ANOVA test or even a regression analysis to determine whether the means of two populations differ significantly.
Some key features regarding the F-statistics are-
It is comparable to a T statistic from the a T-Test; a T-test would then inform you when a single result is statistically significant, whereas a F test would then tell you if a set of variables is statistically significant.When determining whether your total results are significant, you must use the F statistic in conjunction with the p value. Why? A significant result does not imply that all of your variables have been significant. The statistic is simply comparing the cumulative influence of all the variables.To know more about the F-statistics, here
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Find the area of the trapezoid shown below
Answer:
A=a+b
2h
Step-by-step explanation:
Find the volume V of the described solid S. A right circular cone with height 7h and base radius 4r V = Consider the solid obtained by rotating the region bounded by the given curves about the line y = 2.y = 2x, y = 2 Find the volume V of this solid. v = Consider the solid obtained by rotating the region bounded by the given curves about the line y = -1. y = 3/x. y = 0. x =1. x = 3 Find the volume for this solid. v =
a) The volume V of the solid is (112/3) π r² h.
b) The volume V of the solid is 9.333π.
a) To find the volume V of the right circular cone, we can use the formula:
V = (1/3) π (base radius)² height
Given that the base radius is 4r and the height is 7h,
V = (1/3) π (4r)² 7h
V = (1/3) π 16r² 7h
V = (112/3) π r² h
Therefore, the volume V of the solid is (112/3) π r² h.
b) To find the volume V of the solid obtained by rotating the region bounded by the curves about the line y = 2, we can use the disk method. The volume of each disk is given by the formula:
dV = π (outer radius)² dx
The outer radius is the distance from the curve y = 2 to the axis of rotation y = 2.
In this case, the curve y = 2x intersects y = 2 at x = 1. So the outer radius is 1 - x.
To find the limits of integration, we set the two curves equal to each other:
2x = 2
x = 1
Therefore, the limits of integration are x = 1 and x = 3.
Now, V = ∫[1, 3] π (1 - x)² dx
On solving the integration we get
V = π * (9 + 1/3)
V = π * (27/3 + 1/3)
V = π * (28/3)
V ≈ 9.333π
So, the volume V of the solid is approximately 9.333π.
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Expand and simplify (x - 6)(x + 2)
Step-by-step explanation:
hope it is helpful to you
Find the area of this rectangle
Answer:
48 ft. sq.
Step-by-step explanation:
To find the area of rectangle, we multiply length and the breadth.
So, here, 12 ft. is length and 4 ft. is breadth. When we multiply 4 with 12, we will get the answer, that is 48 ft. sq.
8. Line ZX and Line WY are secants of circle V, as shown below.
Based on this information, which of the following can be proved true?
Answer: take a protractor to the unkown sides to find the angle degrees and to check add them up and see if it is 360 degrees
Step-by-step explanation:
a recent survey found that of all adults over wear glasses for driving. in a random sample of adults over , what is the probability that at least six wear glasses?
Let p be the probability of an adult over 50 wearing glasses for driving. Since we don't know the value of p, we can't use the binomial distribution directly. However, we can use the normal approximation to the binomial distribution since n is large (assuming n * p >= 10 and n * (1-p) >= 10).
Let X be the number of adults over 50 wearing glasses for driving in a random sample of n adults. Then X ~ Binomial(n, p) can be approximated by a normal distribution with mean µ = n * p and standard deviation σ = sqrt(n * p * (1-p)).
We want to find the probability that at least six adults over 50 in a random sample of n wear glasses for driving. This is equivalent to finding P(X >= 6) = 1 - P(X < 6) using the normal approximation.
To apply the normal approximation, we need to standardize the random variable X:
Z = (X - µ) / σ
Using continuity correction:
P(X >= 6) = P(X > 5.5)
Z = (5.5 - n * p) / sqrt(n * p * (1-p))
We can use the standard normal distribution table or calculator to find the probability:
P(Z >= (5.5 - n * p) / sqrt(n * p * (1-p)))
Since we don't know the value of p, we can use a conservative estimate of p = 0.5 (assuming 50% of adults over 50 wear glasses for driving). Then:
P(Z >= (5.5 - n * 0.5) / sqrt(n * 0.5 * (1-0.5)))
For example, if we sample n = 100 adults over 50, the probability of at least six wearing glasses is:
P(Z >= (5.5 - 100 * 0.5) / sqrt(100 * 0.5 * (1-0.5)))
= P(Z >= 0.5)
Using a standard normal distribution table or calculator, P(Z >= 0.5) = 0.3085.
Therefore, the probability of at least six adults over 50 wearing glasses for driving in a random sample of 100 is approximately 0.3085 or 30.85%.
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Approximating with powers of 10 The table shown below gives the approximate 2014 earnings for various athletes. Approximately how many times as large were Ronald Christian's 2014 earnings as Forest Thorton's? Athlete Ronald Christian James Leon 2014 earnings (in dollars) 92,000,000 20,300,000 15,700,000 14.800.000 30,000 Mason Payton Ryan Nader Forest Thorton
Ronald Christian's 2014 earnings were 6.2162 times as large as Forest Thorton's earnings.
To determine how many times larger Ronald Christian's 2014 earnings were compared to Forest Thorton's earnings.
we need to divide Ronald Christian's earnings by Forest Thorton's earnings.
Ronald Christian's earnings: $92,000,000
Forest Thorton's earnings: $14,800,000
Dividing Ronald Christian's earnings by Forest Thorton's earnings:
= $92,000,000/$14,800,000
= 6.2162
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find the general solution of the differential equation1. dy/dx = 2x/y2. dy/dx = x(y+4)
The general solution for the second differential equation is y = \(e^[(1/2)x^2 + C2] - 4\)
1. \(dy/dx = 2x/y\)
Step 1: Separate variables. To do this, multiply both sides by y and divide both sides by dx:
\(y dy = 2x dx\)
Step 2: Integrate both sides:
\(∫y dy = ∫2x dx\)
Step 3: Evaluate the integrals:
\((1/2)y^2 = x^2 + C1\), where C1 is the constant of integration.
Step 4: Solve for y to obtain the general solution:
\(y^2 = 2x^2 + 2C1\\y = ±√(2x^2 + 2C1)\)
So, the general solution for the first differential equation is \(y = ±√(2x^2 + 2C1\)).
2. \(dy/dx = x(y+4)\)
Step 1: Separate variables. To do this, divide both sides by (y+4) and multiply both sides by dx:
\(dy / (y+4) = x dx\)
Step 2: Integrate both sides:
\(∫[1 / (y+4)] dy = ∫x dx\)
Step 3: Evaluate the integrals:
\(ln|y+4| = (1/2)x^2 + C2\), where C2 is the constant of integration.
Step 4: Solve for y to obtain the general solution:
\(y+4 = e^[(1/2)x^2 + C2]\\y = e^[(1/2)x^2 + C2] - 4\)
So, the general solution for the second differential equation is y = \(e^[(1/2)x^2 + C2] - 4\)
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Write an addition equation and multiplication equation that each have a solution of -5.
Answer:
17+9+13+(-44)=-5
77x6x(-010822510841)=5
Step-by-step explanation:
close enough
Brainliest maybe maybe?
Pls help will make brain crown thing
Answer:
10,5 should be changed
Step-by-step explanation:
hope this helps
Hola por favor lo necesito
Answer:
sorry I can't understand hahahhaha
Step-by-step explanation:
Speak korean po
given the plot of computing time ~ n, what is the best description of this computational complexity?
A computation time expression ~ n, of means that the computation time increases in proportion to the size of the input.
This presents a computational complexity of O(n). Here 'O' stands for 'Big O Notation' and is used to denote an upper bound on the computational complexity of the algorithm.
That's, the algorithm's computational complexity is straightforwardly corresponding to the measure of the input information.
This shows that as the input estimate increments, the computational time will increment at the same rate.
Linear time complexity is considered to be very efficient, and many algorithms aim to achieve this level of complexity. This is a relatively efficient computational complexity and is common in algorithms that require only one pass through the input data.
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What is the length of AC?
A. Square root of 2
B. Square root of 5
C. 3
D. 5
Answer:
B. √5 units
General Formulas and Concepts:
Pre-Algebra
Order of Operations: BPEMDAS
Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to RightAlgebra II
Distance Formula: \(d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\)Step-by-step explanation:
Step 1: Define
Find points from graph.
Point A (-3, 2)
Point C (-1, 3)
Step 2: Find distance d
Substitute [DF]: \(d = \sqrt{(-1+3)^2+(3-2)^2}\)Add/Subtract: \(d = \sqrt{(2)^2+(1)^2}\)Exponents: \(d = \sqrt{4+1}\)Add: \(d = \sqrt{5}\)A triangular parcel of land has borders of lengths 60 meters, 70 meters, and 82 meters. Find the area of the parcel of land.
Answer:
The area of the triangular parcel of land is approximately 5039.55 square meters. To find the area of the triangular parcel of land, we can use Heron's formula.
Heron's formula states that the area of a triangle with sides of length a, b, and c is Area = √(s(s-a)(s-b)(s-c))
where s is the semiperimeter, defined as:
s = (a + b + c)/2
In this case, we have a = 60 meters, b = 70 meters, and c = 82 meters. So, we can first calculate the semiperimeter:
s = (60 + 70 + 82)/2 = 106
Then, we can use Heron's formula to find the area:
Area = √(106(106-60)(106-70)(106-82)) = √(106(46)(36)(24)) = √(25397184) ≈ 5039.55 square meters.
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Sophie has 3/5 quart of lemonade if she divides the lemonade into glasses that hold 1/25 quart how many glasses can Sophie fill?
the answer to this question is 12!
A store sells pencils and erasers. Five pencils and 10 erasers cost $1.05. Two pencils and five erasers cost 0.44 $. How much would seven pencils and seven erasers cost?
Answer:
1.33
Step-by-step explanation:
A line includes the points (6,10) and (1,0) What is its equation in slope-intercept form?
Answer:
The slope-intercept is \(y = 2x -2\) .
Step-by-step explanation:
-First, you need to find the slope by using the slope formula:
\(m =\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\)
-Second, use both points (6, 10) and (1, 0) for the formula:
\(m =\frac{0-10}{1-6}\)
-Third, you solve:
\(m =\frac{0-10}{1-6}\)
\(m = 2\)
-Fourth, after you found the slope, you need to use the Point-slope form equation:
\(y - y_{1} = m (x -x_{1})\) (where \(m\) represents the slope, and \((x_{1},y_{1})\) represents the first coordinate or the first point).
-Fifth, use the slope 2 and the first point (6, 10) for the Point-slope form equation:
\(y - 10= 2 (x -6)\)
-Sixth, you solve the equation to get the slope-intercept form:
\(y - 10= 2 (x -6)\)
\(y -10 = 2x -12\)
\(y -10 +10 = 2x -12 +10\)
\(y = 2x -2\)
So, therefore, the slope-intercept is \(y = 2x -2\) .
5. A father checks on his new born baby every after 45 minutes. The mother checks on the same baby after every 30 minutes. You also check on the same baby after every 1 hour. If the three of you last checked on the baby together at 10:30 am, when again will you check on the baby together?
Answer:
1:30
Step-by-step explanation:
45 times 4
1 times 2
30 times 4
PLEASE ANSWER OFFERING 50 POINTS.
lines a and b are parallel and are cut by transversal t to for interior angles 7, 8, 9, and 10. 7 and 8 are consecutive interior angles, and m7 = 94 degrees. 8 and 10 are alternate interior angles. FInd the measure of each angle.
1. angle 10
2. angle 9
3. angle 8
There are two lines a and b, Which are parallel lines and a line that cut the parallel lines a and b is transversal t.
1. Angle 8 is 86°
2. Angle 9 is 94° and
3. Angle 10 is 86°.
Given that,
There are two lines a and b, Which are parallel lines and a line that cut the parallel lines a and b is transversal t.
The interior angles are 7,8,9 and 10.
The angle 7 and 8 are consecutive angles and angle 7= 94°.
The angle 8 and 10 are alternative angles.
We have to find the angles 8,9 and 10.
We take,
The angle 7 and 8 are consecutive angles and angle 7= 94°.
Consecutive angles condition is Sum of the pair of consecutive angles is equal to 180°.
Now,
∠7+∠8=180°
94°+∠8=180°
∠8=180°-94°
∠8=86°
We got angle 8 as 86°.
Now, we take
The angle 8 and 10 are alternative angles.
Alternative angles condition is The pair of alternative angles are always equal if the two lines are parallel lines.
Now,
∠8=∠10
86°=∠10
∠10=86°
We got angle 10 as 86°.
Then we can say that the angle 7 and 9 are alternative angles.
Then,
∠7=∠9
94°=∠9
∠9=94°
We got angle 9 as 94°.
Therefore, The angle 7 is 94°, ∠8 is 86°, ∠9 is 94° and ∠10 is 86°.
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you have some quarters and pennies worth $3.75 and 39 coins altogether. how many of each coin do you have?
There are 14 quarters and 25 number of pennies
What is Equation?Two or more expressions with an Equal sign is called as Equation.
Given that some quarters and pennies worth $3.75
0.25x+0.01y=3.75
There are 39 coins altogether
x+y=39
x=39-y
Now plug in x value in 0.25x+0.01y=3.75
0.25(39-y)+0.01y=3.75
9.75-0.25y+0.01y=3.75
9.75-0.24y=3.75
9.75-3.75=0.24y
6=0.24y
Divide both sides by 0.24
25=y
x+y=39
x=14
Hence, there are 14 quarters and 25 number of pennies
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The sum of the two numbers is 49 and the difference is 11. What are the numbers?
Answer:
30,19
Step-by-step explanation:
let the numbers be x and y,x>y
x+y=49
x-y=11
add
2x=60
x=60/2=30
30+y=49
y=49-30=19
Answer:
x = first number = 30 and y = second number = 19
Step-by-step explanation:
let the first number be x and second number be y.
According to the given information
The sum of the two numbers is 49
Here, we get the equation.
x + y = 49
Now, Similarly second given information
the difference is 11.
Here, we get the equation.
x - y = 11
Now,
Step 1:
Name the equations
x + y = 49 ...(1)
x - y = 11 ...(2)
Step 2:
Now,
From equation (1) we get,
x = 49 - y
Substitute the value of x = 49 - y in equation (2) we get,
x - y = 11
i.e.,
49 - y - y = 11
49 - 2y = 11
-2y + 49 = 11
2y - 49 = - 11
2y = 49 - 11
2y = 38
y = 38/2
y = 19
Step 3:
Now,
Put the value of y = 19 in equation (1), we get.
x + y = 49
i.e.,
x + 19 = 49
x = 49 - 19
x = 30
Thus, The value of x = first number = 30 and y = second number = 19
VERIFICATION:30 + 19 = 49
30 - 19 = 11