In ACDE, the measure of E=90°, the measure of C=70°, and DE = 12 feet.
Find the length of CD to the nearest tenth of a foot.

Answer:

Boy's feet is closer

Step-by-step explanation:

Given that :

Distance from Surface of pool :

Girl's feet : 4/6 yards = 2/3 yards

Boy's feet : 1/6 yards

Comparing the two distances ;

2/3 = 0.6666

1/6 = 0.1666

Hence, 2/3 > 1/6

Therefore, distance between the boy's feet and the surface is lesser and hence closer than the girl's feet

150.72

...............

The prices which the school would collect $0 revenue are $0 and $ 40 respectively.

Since the revenue R(p) = p(200 - 5p).

The price at which the school earn s $0 revenue from the raffle sales is when R(p) = 0.

So, p(200 - 5p) = 0

p = 0 or 200 - 5p = 0

p = 0 or 200 = 5p

p = 0 or p = 200/5 = 4

So, the prices which the school would collect $0 revenue are $0 and $ 40 respectively.

The two ticket prices that would produce a revenue of $500 are $2.68 and $ 37.32

We need to find the two ticket prices that would result in a revenue of $500. So, R(p) = 500.

So, p(200 - 5p) = 500

200p - 5p² = 500

Re-arranging, we have

5p² - 200p + 500 = 0

Dividing through by 5, we have

p² - 40p + 100 = 0

Using the quadratic formula, we find the value of p.

So,

[tex]p = \frac{-(-40) +/- \sqrt{(-40)^{2} - 4 X 1 X 100} }{2 X 1} \\p = \frac{40 +/- \sqrt{1600 - 400} }{2} \\p = \frac{40)+/- \sqrt{1200} }{2} \\p = \frac{40 +/- 34.64 }{2} \\p = \frac{40 - 34.64 }{2} or p = \frac{40 + 34.64 }{2} \\p = \frac{5.36}{2} or p = \frac{74.64 }{2} \\p = 2.68 or 37.32[/tex]

So, the two ticket prices that would produce a revenue of $500 are $2.68 and $ 37.32

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Answer:

68/15 miles

Step-by-step explanation:

Miles she rode on Saturday = (6x5+4) / 5 = 34/5 miles

Miles she rode on Sunday = 34/5 x 2/3 = 68/15 miles --As it is stated that she rode 2/3 of the distance of Saturday's, so simply multiple it by 2/3

Answer:

15n = 330

Value of n(number of lawns) = 22

Step-by-step explanation:

She has already saved $85 which means the amount of money she needs left will be

=$415 - $85

= $330

Now n represents the number of lawns she needs to mow. She earns $15 per lawn, so she needs to multiply the cost of each lawn by the number of lawns (n) and equal it to the money she needs. This is how the equation will turn out.

15n = 330

To go further, divide both sides by 15 to get the number of lawns she has to mow.

[tex]\frac{15n}{15} =\frac{330}{15}[/tex]

n = 22

∴ She needs to mow 22 lawns to get the amount of money she needs.

Answer:

201.6

Step-by-step explanation:

y varies directly as x

y = kx... "k" is the constant

y = 25, x = 140

25÷140 =k × 140÷140

k = 0.17857

y = 0.17857 × x

when y = 36 what is x

36 = 0.17857 × x

x =36÷0.17857 =201.6

Answer:

3x+4(3x−5)=25

Use the distributive property to multiply 4 by 3x−5.

3x+12x−20=25

Combine 3x and 12x to get 15x.

15x−20=25

Add 20 to both sides.

15x=25+20

Add 25 and 20 to get 45.

15x=45

Divide both sides by 15.

x= 45/15

Divide 45 by 15 to get 3.

x=3

Answer:

D. 1.3

Step-by-step explanation:

5(1.3) = 6.5

Since the value of r is .2 less than b, b would be 1.5

2(1.5) = 3

6.5+3=9.5

Answer:

58

Step-by-step explanation:

To get the average, you add all of the numbers and then divide by the amount of numbers.

51 + 70 + 97 + 63 + 50 + 31 + 59 + 51 +59 + 50 = 581.

581 ÷ 10 = 58.1

Then, rounding 58.1 is 58

Answer:

[tex]\huge\boxed{\sf 11.74\ in.\²}[/tex]

Step-by-step explanation:

Area of Rectangle:

Length = 11.8 in.

Width = 3.6 in.

Area = Length * Width

Area = 11.8 * 3.6

Area = 42.48 in.²

Area of 3 circles:

Diameter = 3.6 in.

Radius = D/2 = 3.6/2 = 1.8 in.

[tex]\sf Area = \pi r^2\\\\Area = (3.14)(1.8)^2\\\\Area = (3.14)(3.24)\\\\Area = 10.18\ in.^2[/tex]

Area of 3 circles = 3(10.18) = 30.5 in.²

Area of the figure when the 3 circles are cut:

= Area of the rectangle - Area of 3 circles

= 42.28 - 30.5

= 11.74 in.²

[tex]\rule[225]{225}{2}[/tex]

Hope this helped!

Answer:

D

Step-by-step explanation:

x^2-12x+36

type into desmos and see where it touches the the line

Answer:

0.125 meters

Step-by-step explanation:

Eloise's aunt cut 9.5 meters of ribbon into 4 equal sections and gave one of those sections to Eloise.

The length of the ribbon given to Eloise

= 9.5 meters/4

= 2.375 meters

Her friend Amelie has 2.5 meters of ribbon.

How much more ribbon does Amelie have than Eloise?

This is calculated as:

Number of meters of ribbon Amelie has - Number of meters if ribbon Eloise has

= 2.5 meter - 2.375 meters

= 0.125 meters

Therefore: Amelie has 0.125 meters of ribbon more than Eloise

Answer::

The answer is 3037.5

Explanation::

4.5 x 7.5 x 6 x 15 = 3037.5

Answer:

319.5in

Step-by-step explanation:

First lets calculate the area of all the rectangles

2(6in * 15in) = 180in

The 2 is because there are two rectangles with the dimensions of 6in and 15in.

7.5in * 15in = 112.5in

112.5in + 180in = 292.5

Next lets calculate the area of the triangles.

4.5in * 6in / 2 = 13.5in

13.5 + 13.5 = 27in

292.5in + 27in = 319.5in

hope this helps!

Step-by-step explanation:

with which problem....not visible

Answer:

What is the problem?

Answer: 2/5

Step-by-step explanation:  Dividing two fractions is the same as multiplying the first fraction by the reciprocal (inverse) of the second fraction

Take the reciprocal of the second fraction by flipping the numerator and denominator and changing the operation to multiplication. Then the equation becomes

The, multiply the numerators and denominators and get 12/30, then simply by 6 and get 2/5

Answer:

the area of a circle with a circumference of 11π feet is

A≈9.63

Answer:

Population: 30.32. Sample: 33.99

Answer:

yes

Step-by-step explanation:

Each time it is divided by three!

Answer: The bird would fly 3 meters in 1 second. Have a good day!!

30 divided by 10 is 3. Therefore, 3 is your answer!

Answer:

m+ p+ q= 180°

m+76°+72°=180°

m+ 148=180°

m=180°-148

m=32°

Answer:

Yes of course I love this too

Step-by-step explanation:

Answer:

hahahahah lol..........btw thnks❤️

The image of the point (-7, -8) after a rotation of 270 degrees counterclockwise about the origin is (8, -7).

What is counterclockwise ?

Counterclockwise is a direction of rotation that is opposite to the direction of the hands on a clock. It is also known as anticlockwise in some parts of the world. When viewed from above, counterclockwise rotation goes in the direction of a left-handed spiral, while clockwise rotation goes in the direction of a right-handed spiral. In mathematics, physics, and other fields, counterclockwise is often used as a standard convention for the positive direction or orientation of angles, planes, and other geometric objects. In graphical user interfaces, counterclockwise rotation is often used to indicate an undo or reverse action, while clockwise rotation is used to indicate a redo or repeat action.

According to the question:
When a point is rotated by 270 degrees counterclockwise about the origin, the new point is found by switching the x and y-coordinates of the original point, and negating the new x-coordinate. So, to find the image of the point (-7, -8) after a rotation of 270 degrees counterclockwise about the origin, we can use the following formula:

(x', y') = (-y, x)

where (x, y) is the original point and (x', y') is the new point after the rotation

Plugging in the values from the given point, we get:

(x', y') = (-(-8), -7)

Simplifying this expression, we get:

(x', y') = (8, -7)

Therefore, the image of the point (-7, -8) after a rotation of 270 degrees counterclockwise about the origin is (8, -7).

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Answer:

30 yd²

Step-by-step explanation:

Hello There!

The shown figure is a trapezoid

The first thing we need to do is figure out what the formula for area of a trapezoid is

[tex]A=\frac{a+b}{2} h[/tex]

where a and b = bases and h = height

we are given all of the dimensions so all we have to do is plug in the values

a = 9

b = 6

h = 4

[tex]A = \frac{6+9}{2} 4\\6+9=15\\\frac{15}{2} =7.5\\7.5*4=30[/tex]

so we can conclude that the area of the figure is

30 yd²

~TheMathWiz

Answer:

30

Step-by-step explanation:

first you find the area of the rectangle the formula is A=wl

A=6*4=24

Then find the area of the triangle the formula is A =h b/2

A=4 3/2

6

the base is 3 because the whole bottom is 9 but the base of the square is 6 and so 9-6=3

now add them together

24+6=30

Answer:

2

Step-by-step explanation:

the difference is that

Answer:

30

Step-by-step explanation:

the street and the diameter of the bike are not measured in the same units. We have to convert them to the same units

1 feet = 12 inches

157 x 12 = 1884

circumference of a circle = 2nr

2 x 3.14 x 10 = 62.8 in

Number of revolutions = 1884/62.8 = 30

Answer:

a > 14

Step-by-step explanation:

I hope this helps!

The solution to the inequality expression a + 4/2 > 16 is a > 14

The inequality expression is given as:

a + 4/2 > 16

Divide 4 by 2

a + 2 > 16

Subtract 2 from both sides

a > 14

Hence, the solution to the inequality expression a + 4/2 > 16 is a > 14

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