Find the area of the figure. (Sides meet at right angles.)

Answer:

24,070 the school uses in all

Step-by-step explanation:

You subtract 13,270 by 6,570 and you get 6,700 pieces of blue paper. Then, you subtract 6,700 by 2,600 and you get 4,100 pieces of yellow paper. Finally, you add the total of pieces of white, blue, and yellow paper and you get 24,070 for the total.

Answer:

she scored 76 percent in the test

Answer:

1)    \(\frac{4}{-3}\)

2) \(\frac{3}{2}\)

Step-by-step explanation:

To find the slope, we can use the slope formula:
\(\frac{y2 - y1}{x2 - x1}\)

1. Through (4,-3) and (-2,5):

Slope = \(\frac{5 - (-3)}{-2 - 4}\)

Slope = \(\frac{8}{-6}\)

Simplified to: \(\frac{4}{-3}\)

2. Through (2, -1) and (0, -4)

Slope = \(\frac{-4 - (-1)}{0 - 2}\)

Slope = \(\frac{-3}{-2}\)

Slope = \(\frac{-3}{-2} \cdot \frac{-1}{-1} = \frac{3}{2}\)

Meaning that the slope of 1) is    \(\frac{4}{-3}\) and the slope of 2) is \(\frac{3}{2}\).

Hope this helps!

The values of sin 2x, cos 2x , and tan 2x are -3/5, -4/5 and 3/4 respectively

Trigonometry is a branch of mathematics dealing with the relationship between the ratios of the sides of a right-angled triangle with its angles.

Given that: tan x = -3 and x terminates in quadrant IV

(Check the attached image for the drawing)

tan x = -3/1  (opposite/adjacent)

hypotenuse = √((1)²+(-3)²) = √10

sin x = -3/√10  (opposite/hypotenuse)

cos x = 1/√10   (adjacent/hypotenuse)

Using trigonometric identity:

sin 2x = 2 sin x cos x

sin 2x = 2 × (-3/√10) × (1/√10) = -6/10 = -3/5

cos 2x = 2cos²x - 1

cos 2x = 2×(1/√10)² - 1 =  2/10 - 1 = -4/5

tan 2x = sin 2x/cos 2x

tan 2x = (-3/5)/(-4/5) = 3/4

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Answer:

Part A: To determine the exact value of cos 2θ, we can use the double-angle identity for cosine:

cos 2θ = 2 cos^2 θ - 1

We already know sin θ, so we can use the Pythagorean identity to find cos θ:

cos^2 θ = 1 - sin^2 θ

cos^2 θ = 1 - (2√2/5)^2

cos^2 θ = 1 - 8/25

cos^2 θ = 17/25

cos θ = ± √(17/25)

cos θ = ± (1/5) √17

Since θ is in the third quadrant (π/2 < θ < π), cos θ is negative, so we take the negative root:

cos θ = -(1/5) √17

Substituting into the double-angle identity:

cos 2θ = 2 cos^2 θ - 1

cos 2θ = 2 [-(1/5) √17]^2 - 1

cos 2θ = 2 (1/25) (17) - 1

cos 2θ = 34/25 - 1

cos 2θ = 9/25

Therefore, the exact value of cos 2θ is 9/25.

Part B: To determine the exact value of sin (θ/2), we can use the half-angle identity for sine:

sin (θ/2) = ± √[(1 - cos θ)/2]

We already know cos θ, so we can substitute it in:

cos θ = -(1/5) √17

sin (θ/2) = ± √[(1 - cos θ)/2]

sin (θ/2) = ± √[(1 - (-1/5) √17)/2]

sin (θ/2) = ± √[(5 + √17)/10]

sin (θ/2) = ± (1/2) √(5 + √17)

Since θ is in the third quadrant (π/2 < θ < π), sin θ is negative, so we take the negative root:

sin (θ/2) = -(1/2) √(5 + √17)

Therefore, the exact value of sin (θ/2) is -(1/2) √(5 + √17).

The exact values of the sine and cosine given are -(1/2) √(5 + √17) and 9/25.

The sine of an angle in a right triangle is the ratio of the hypotenuse to the side opposite the angle.

The cosine of an angle in a right triangle is the ratio of the hypotenuse to the side adjacent the angle.

Part A: To determine the exact value of cos 2θ, we can use the double-angle identity for cosine:

cos 2θ = 2 cos² θ - 1

Using the Pythagorean identity to find cos θ:

cos² θ = 1 - sin² θ

cos² θ = 1 - (2√2/5)²

cos² θ = 1 - 8/25

cos² θ = 17/25

cos θ = ± √(17/25)

cos θ = ± (1/5) √17

Since θ is in the third quadrant (π/2 < θ < π), cos θ is negative, so we take the negative root:

cos θ = -(1/5) √17

Substituting into the double-angle identity:

cos 2θ = 2 cos² θ - 1

cos 2θ = 2 [-(1/5) √17]² - 1

cos 2θ = 2 (1/25) (17) - 1

cos 2θ = 34/25 - 1

cos 2θ = 9/25

Therefore, the exact value of cos 2θ is 9/25.

Part B: To determine the exact value of sin (θ/2), we can use the half-angle identity for sine:

sin (θ/2) = ± √[(1 - cos θ)/2]

We already know cos θ, so we can substitute it in:

cos θ = -(1/5) √17

sin (θ/2) = ± √[(1 - cos θ)/2]

sin (θ/2) = ± √[(1 - (-1/5) √17)/2]

sin (θ/2) = ± √[(5 + √17)/10]

sin (θ/2) = ± (1/2) √(5 + √17)

Since θ is in the third quadrant (π/2 < θ < π), sin θ is negative, so we take the negative root:

sin (θ/2) = -(1/2) √(5 + √17)

Therefore, the exact value of sin (θ/2) is -(1/2) √(5 + √17).

Hence, the exact values of the sine and cosine given are -(1/2) √(5 + √17) and 9/25.

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Answer:

Your answer will be 70 degrees

Step-by-step explanation:

The comparisons that are true are 11. -5 < 0 12. 9 > -8 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51  19. 17 < 23  20. 18 > -36 and that is not true are 13. -7 = -7 (not true) 18. -32 > 4 (not true)

To make each statement true, write < or >. We need to compare two values for each statement to determine whether it is true or false.

To indicate that the first value is less than the second value, write <.

Alternatively, to indicate that the first value is greater than the second value, write >.

Below are the comparisons: 11. -5 < 0 12. 9 > -8 13. -7 > -7 14. 55 > -75 15. -32 < -24 16. 89 > 73 17. -58 < -51 18. -32 > 4 19. 17 > 23 20. 18 > -36

To determine the direction of inequality, we need to compare the values.

We used inequality signs such as > (greater than) or < (less than) to indicate which value is larger or smaller than the other.

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The correct question would be as

Write > or < to make each statement true.

11. -5 0

12. 9 -8

13. -7 7

14. 55 -75

15. -32 -24

16. 89 73

17. -58 -51

18. -32 4

19. 17 23

20. 18 -36​

The total amount of money in the bag is M = $ 2.98

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as M

Now , the value of M is

Let the total amount of money in the bag be M

The number of coins in the bag = 50 coins

The number of pennies = 12 % of coins

So , the number of pennies = ( 12/100 ) x 50 = 6 pennies

The number of dimes in the bag = 44 % of the coins

The number of dimes in the bag = ( 44/100 ) x 50 = 22 dimes

The number of nickels = 8 + number of pennies = 8 + 6

The number of nickels = 14 nickels

The remaining number of coins are quarters

On simplifying the equation , we get

So , the number of quarters = 50 - 6 - 22 - 14 = 8 quarters

And , the value of 6 pennies = $ 0.06

The value of 22 dimes = $ 0.22

The value of 14 nickels = $ 0.70

The value of 8 quarters = $ 2.00

Therefore , the total amount in the bag = $ 2.00 + $ 0.70 + $ 0.22 + $ 0.06

The total amount of money in the bag = $ 2.98

Hence , the total money in the bag is $ 2.98

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Answer:

$70

Step-by-step explanation:

50+20=70

The required expression is given for the Nikko is t = 50 + 20h.

Given that,
The repairman will charge Nikko a flat fee of $50 plus an additional $20 for each hour he needs to work on it.

The equation is the relationship between variables and represented as y = ax + b is an example of a polynomial equation.

here,
t is the total cost the repairman charged to Nikko,
h is the number of hours,
repair men charges for h hours = $20h
repair men charge a flat fee of $50.
Total charge, t = 50 + 20h

Thus, the required expression given for the Nikko is t = 50 + 20h.

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Answer: n = 11.5

Step-by-step explanation:-140=-32n +228

-368=-32n

Answer:

0 because 0 is sea level, anything below is negative and anything above is positive. hope this is helpful

Step-by-step explanation:

Answer:

Its 0 :)

Step-by-step explanation:

The graph of the arithmetic sequence is added as an attachment

From the question, we have the following parameters that can be used in our computation:

Sequence: 4, 12, 20, 28....

The above sequence is an arithmetic sequence with the following parameters

First term, a = 4

Common difference, d = 8

So, the x-th term is

f(x) = a + (x - 1) * d

Substitute the known values in the above equation, so, we have the following representation

f(x) = 4 + (x - 1) * 8

This gives

f(x) = 8x - 4

So, the equation to plot is f(x) = 8x - 4

See attachment for the graph

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The base of triangle is b = 30 cm.

The height of triangle is h = 28 cm.

Determine the area of the triangle.

Thus, area of triangle is 420 sq. cm

Answer:

non statistical

Step-by-step explanation:

khan acadamy

Answer:

Move all terms to the left side and set equal to zero. Then set each factor equal to zero.

x

=

−

1

,

−

7

but its (1,7)

Step-by-step explanation:

Answer:

25

Step-by-step explanation:

a square has 4 sides.

100/4=25

Answer:

6 first box. 12 second box. 21 third box. 10 fourth box. 4 fifth box.

Step-by-step explanation:

Look for common denominaters, that will show you what to multiply the equation by to get rid of fractions.

The scaled triangle will be larger than the initial size by a factor 2.

The scaled square will be smaller than the initial side by a factor 4

Dilation refers to a transformation that changes the size of a geometric figure without altering its shape.

Dilation involves scaling an object by a certain factor, that might result in  enlarging or reducing its dimensions uniformly in all directions.

Based on the given diagram, the new length and size of the object is calculated as follows;

For the triangle, (measure the length with ruler)

For the square; (measure the length with ruler)

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Answer: (3, -2.333) or (3, -7/3)

Step-by-step explanation:

We're given an x value (x=3) when looking at the coordinate, so we're trying to find what y is equal to given the equation. We can plug in x=3 into 5x+3y=8 and isolate for y.

\(5(3)+3y=8\\15 + 3y=8\\3y=-7\\y=-\frac{7}{3}\)

Answer:

y= -2 1/3

Step-by-step explanation:

Since you have x, you put x into the equation and work through the problem.

5(3)+3y=8

15+3y=8, then subtract 15 from both sides

3y=(-7), then divide both sides by 3

y=(-7)/3 or (-2 1/3)

Answer:

x = - 9

Step-by-step explanation:

2x + 7 = - 11 ( subtract 7 from both sides )

2x = - 18 ( divide both sides by 2 )

x = - 9

The answer is:

x = -9

Work/explanation:

The point of equations is to find the variable's value by isolating it step-by-step.

For this equation, the variable is x.

To isolate it, I will perform a few operations.

First, I will subtract 7 from each side:

\(\sf{2x+7=-11}\)

\(\sf{2x=-11-7}\)

\(\sf{2x=-18}\)

Divide each side by 2

\(\sf{x=-9}\)

Hence, x = -9.

\(\rule{350}{4}\)

Answer:

I believe the volume is 120 and the surface area is 124

Step-by-step explanation:

Matt ate 1/6 of the bag of peanut

Matt had 4/6 bag of peanut

He ate a quarter of what was in the bag

The amount of peanut he ate can be calculated as follows

= 4/6 × 1/4

= 4/24

= 1/6

Hence Matt ate 1/6 of the bag of peanut

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Answer:

the correct answer is A. 25 sandwiches.

Step-by-step explanation:

Assuming you have plenty of bread and jelly, you can make 25 sandwiches from the jar of peanut butter.

Each sandwich typically requires 2 tablespoons of peanut butter, one slice of bread with peanut butter and one slice of bread with jelly.

So, if you have 50 tablespoons of peanut butter, you can make 25 sandwiches with it, because 50 / 2 = 25.

Therefore, the correct answer is A. 25 sandwiches.

Answer: 25

Step-by-step explanation:

We have 50 tablespoons of peanut butter and we know that it requires 2 tablespoons to make a single sandwich. In order to find how many sandwiches we can make with our 50 tablespoons, we would have to do 50 divided by 2.

2+2...=50

Answer:

1. 90

2. 120

3. 30

4. 60

Step-by-step explanation:

Hope it helps

The average  largest five-digit number which leaves remainders of 3, 6, 18 and 39 when divided by 9, 12, 24 and 45 respectively is 99741. This can be found by starting at the highest possible number (99999) and subtracting until the remainders of each division are obtained.

To find the largest five-digit number which leaves remainders of 3, 6, 18 and 39 when divided by 9, 12, 24 and 45 respectively, begin by setting the highest possible number (99999). Then, subtract until the remainders of each division become 3, 6, 18 and 39 respectively. This can be done by subtracting 3 from the initial number and then 6, 18, and 39 in order to get the correct remainders. This process can be repeated until the number reaches 99741, which is the largest five-digit number that leaves the given remainders. This number can also be found by using the formula (9x + 3)(12x + 6)(24x + 18)(45x + 39). By plugging in x = 999, the answer of 99741 is obtained.

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Step-by-step explanation:

here is your answer, this is how you do it

Answer:

\(\boxed{\bf G. \: x = {25}^{o}} \)

\(\boxed{\bf H. \: x = {20}^{o} }\)

Step-by-step explanation:

In the given figure, the linear pairs are supplementary angles, meaning they should add up to 180°.

G)

H)

«••••••••••••»«•••••••••••••»

Answer:

The left cylinder has greater than the right cylinder.

Step-by-step explanation:

Volume of a cylinder is the area of a base times the height.

As the radii are identical, the area of each base is πr²

As the left cylinder has greater height, it also has greater volume.

The probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

To find the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts, we need to use the concept of the Central Limit Theorem.

In this case, we know that the mean voltage of a single battery is 15 volts and the standard deviation is 0.2 volts. When batteries are connected in series, their voltages add up.

The combined voltage of four batteries connected in series is the sum of their individual voltages. The mean of the combined voltage will be 4 times the mean of a single battery, which is 4 * 15 = 60 volts.

The standard deviation of the combined voltage will be the square root of the sum of the variances of the individual batteries. Since the batteries are connected in series, the variance of the combined voltage will be 4 times the variance of a single battery, which is 4 * (0.2)^2 = 0.16.

Now, we need to calculate the probability that the combined voltage of four batteries is 60.8 or more volts. We can use a standard normal distribution to calculate this probability.

First, we need to standardize the value of 60.8 using the formula:

Z = (X - μ) / σ

Where X is the value we want to standardize, μ is the mean, and σ is the standard deviation.

In this case, the standardized value is:

Z = (60.8 - 60) / sqrt(0.16)

Z = 0.8 / 0.4

Z = 2

Next, we can use a standard normal distribution table or calculator to find the probability associated with a Z-score of 2. The probability of obtaining a Z-score of 2 or more is approximately 0.0228.

Therefore, the probability that four batteries connected in series will have a combined voltage of 60.8 or more volts is approximately 0.0228 or 2.28%.

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