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3 years ago

Find the value of each variable. If your answer is not an integer, write it in simplest radical form with the denominator

Mathematics

1 answer:

dmitriy555 [2]3 years ago

3 0

Answer:

Step-by-step explanation:

First you have to fined the unit rate

1,500/25= 60

Now your gonna do

300x60= 18,00

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A 10 inch cookie cake is divided into 8 slices. What is the area of 3 slices

brilliants [131]

Answer:

The area of 3 slices is $\frac{75}{8}\pi\ in^2$ or approximate $29.4\ in^2$

Step-by-step explanation:

Find out the area of the cookie cake

The area of the circle (cookie cake) is

$A=\pi r^{2}$

we have

$r=10/2=5\ in$ ----> the radius is half the diameter

substitute

$A=\pi (5)^{2}$

$A=25\pi\ in^{2}$

Remember that the area of the complete cookie cake subtends a central angle of 360 degrees

If the cake is divided into 8 slices

then

The central angle of each slice is equal to

360/8=45°

The central angle of 3 slices is equal to

3(45°)=135°

By proportion

Find out the area of 3 slices

Let

x ----> the area of 3 slices

$\frac{25\pi}{360}=\frac{x}{135}\\\\x=25\pi(135)/360\\\\x=\frac{3,375}{360}\pi\ in^2$

Simplify

$\frac{75}{8}\pi\ in^2$ ----> exact value of the area of 3 slices

Find out the approximate value of the area of 3 slices

assume

$\pi =3.14$

substitute

$\frac{75}{8}(3.14)=29.4\ in^2$

5 0

4 years ago

What is an equation of the line that passes through the point (-4,-6) and is perpendicular to the line 4x+5y=25

elixir [45]

Answer:

$y = \frac{5}{4} x - 1$

Step-by-step explanation:

The equation of a line is usually written in the form of y=mx+c, where m is its gradient and c is its y-intercept.

First rewrite the equation of the given line in the form of y=mx +c.

4x+5y=25

5y= -4x +25

$y = - \frac{4}{5} x + 5$

The gradient of the given line is $- \frac{4}{5}$

The product of the gradient of perpendicular lines is -1.

$( - \frac{4}{5} )(gradient \: of \: line) = - 1 \\ gradient \: of \: line = - 1 \div ( - \frac{4}{5} ) \\ gradient \: of \: line = \frac{5}{4}$

Thus, m= $\frac{5}{4}$

$y = \frac{5}{4} x + c$

Substitute a coordinate to find c.

When x= -4, y= -6,

$- 6 = \frac{5}{4} ( - 4) + c \\ - 6 = - 5 + c \\ c = 5 - 6 \\ c = - 1$

Hence, the equation of the line is

$y = \frac{5}{4} x - 1$

7 0

3 years ago

Select the correct symbol. 0.88 ? 0.178 A.

crimeas [40]

Answer:

Step-by-step explanation:

0.88 = 88%

0.178 = 17.8%

Therefore, 0.178 < 0.88

8 0

3 years ago

I can't seem to find the answer for number 2 can someone at least give me a hint?

Lelu [443]

2.) The shapes and what it is made up of makes it flexible.

8 0

4 years ago

Explain why 4:6 and 8: 10 are not equivalent ratios.

andrew11 [14]

Answer:

Because when 4:6 is simplified, you get 2:3, but when 8:10 is simplified, you get 4:5

So, they are not equivalent ratios because their simplified ratios are not the same.

Step-by-step explanation:

Hope this is helpful.

4 0

3 years ago

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