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iogann1982 [59]

3 years ago

5

Colin leaves school to go home. He walks 3 blocks south and then 9 blocks west. If Colin could walk in a straight line to the sc

hool, what is the exact distance between Colin and the school?

1 answer:

White raven [17]3 years ago

5 0

Answer:

9.48*

Step-by-step explanation:

This is a right triangle. The formula for solving the Hypotenuse, or the longest side of the right triangle is A^2 + B^2 = C^2. If we put the numbers from the problem into the formula this is what we get :

3^2 + 9^2 = C^2

9 + 81 = C^2

90 = C^2

9.48 = C

* This is rounded, the exact number is closer to 9.486832980505138. Your class should tell you what to round to.

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If the surface area of a cube is increased by a factor of 2 (so that the new surface area is twice the size of the original surf

Mariana [72]

Answer:2.828

Step-by-step explanation:

Given

Surface area of a cube is increased by a factor of 2

Let the original surface area be A

such that new surface area is 2A

for volume we need to know new radius

$6(a')^2=2\times 6r^2$

where r'=new radius

r=original radius

$a'=\sqrt{2}a$

New volume(V') $=(a')^3=(\sqrt{2}a)^3$

$V'=2\sqrt{2}a^3$

Original volume $=a^3$

$\frac{V'}{V}=\frac{2\sqrt{2}a^3}{a^3}$

$V'=2\sqrt{2}V=2.828V$

8 0

3 years ago

Find the central angle of a sector of a circle of the area of the sector and the area of the circle are in the proportion of 3:5

abruzzese [7]

Answer:

$\theta = 216$

Step-by-step explanation:

Given

Area of Sector : Area of Circle = 3 : 5

Required

Determine the central angle

The question implies that

$\frac{Area_{sector}}{Area_{circle}} = \frac{3}{5}$

Multiply both sides by 5

$5 * \frac{Area_{sector}}{Area_{circle}} = \frac{3}{5} * 5$

$5 * \frac{Area_{sector}}{Area_{circle}} = 3$

Multiply both sides by Area{circle}

$5 * \frac{Area_{sector}}{Area_{circle}} * Area_{circle} = 3 * Area_{circle}$

$5 * {Area_{sector} = 3 * Area_{circle}$

Substitute the areas of sector and circle with their respective formulas;

$Area_{sector} =\frac{\theta}{360} * \pi r^2$

$Area_{circle} = \pi r^2$

So, we have

$5 * \frac{\theta}{360} * \pi r^2 = 3 * \pi r^2$

Divide both sides by $\pi r^2$

$5 * \frac{\theta}{360} * \frac{ \pi r^2}{\pi r^2} = 3 * \frac{\pi r^2}{\pi r^2}$

$5 * \frac{\theta}{360} = 3$

Multiply both sides by 360

$360 * 5 * \frac{\theta}{360} = 3 * 360$

$5 * \theta = 3 * 360$

Divide both sides by 5

$\frac{5 * \theta}{5} = \frac{3 * 360}{5}$

$\theta = \frac{3 * 360}{5}$

$\theta = \frac{1080}{5}$

$\theta = 216$

Hence, the central angle is 216 degrees

3 0

3 years ago

8*23=25*45<br> Find which side is bigger

anastassius [24]

Answer:

25*45 is bigger

=1125

Step-by-step explanation:

184=1125

184<1125

7 0

2 years ago

at video shack movie rentals cost $3.99 each. the cost of renting three movies and one video game is $.11 less than the cost of

damaskus [11]

$x-\ cost\ of\ renting\ video\ game\\
y-\ cost\ of\ tenting\ movie\\\\
3y+1x+11=5x\\
y=3,99\\\\
3*3,99+x+11=5x\\
11,97+x+11=5x\ \ \ | subtract\ x\\
22,97=4x\ \ \ | divide\ by\ 4\\
x=5,7425\$\\\\
For\ renting\ video\ game\ you\ will\ pay\ 5,7425\$.$

4 0

3 years ago

I Need help. Thanks.

PIT_PIT [208]

Answer:

A

Step-by-step explanation:

$-2(5y-5)-3y\leq -7y+22$

Expand parentheses:

$-10y+10-3y\leq -7y+22$

Move all y's to one side and numbers to the other:

$-6y\leq 12$

Divide both sides by -6. Since you are dividing both sides by a negative number, you need to flip the comparator:

$y\geq -2$

Hope this helps!

5 0

3 years ago

Read 2 more answers