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gtnhenbr [62]
2 years ago
6

What is the value of w? A. 7 B. 3.5 C. 7square root of three D. 14

Mathematics
1 answer:
Anarel [89]2 years ago
8 0

Answer:

<h3>D. 14.</h3>

\sf{\cos(30)  =  \frac{7 \sqrt{3} }{w} } \\  \sf{ \frac{ \sqrt{3} }{2}  =  \frac{7 \sqrt{3} }{w} } \\  \sf{w =  \frac{7 \sqrt{3} \times 2 }{ \sqrt{3} }  = 14}

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Mrrafil [7]
So, angles A and B added together is 130° which makes the whole angle = 180°-130°=50°

The answer is 180° because it is a supplementary angle and all supplementary angles equal 180° so, all the angles added makes 180°
7 0
3 years ago
Please asap<br>for 10 points!​
kari74 [83]
<h3>Given:</h3><h3>Large cone:</h3>
  • r= 8 cm
  • h= 20 cm
<h3>Small cone:</h3>
  • r= 4 cm
  • h= 10cm
<h3>Note that:</h3>
  • r: radius
  • h: height
<h3>To find:</h3>
  • The volume of the frustum of the given cone.
<h3>Solution:</h3>
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\large\boxed{Formula: V= \frac{1}{3}\pi{r}^{2}h}

Let's solve!

First, let's find the volume of the smaller cone.

Substitute the values according to the

formula.

V= \frac{1}{3}×\pi×{4}^{2}×10

V= 167.5516082 \: {cm}^{3}

Now, we can round off to the nearest hundredth.

The value in the thousandths place is smaller than 5 so we won't have to round up.

\boxed{V= 167.55 \: {cm}^{3}}

Next, let's find the volume of the bigger cone.

Substitute the values according to the formula.

V= \frac{1}{3}×\pi×{8}^{2}×20

V= 1340.412866 \: {cm}^{3}

Now, we can round off to the nearest hundredth.

The value in thousandths place is smaller than 5 so we won't have to round up.

\boxed{V=1340.41 \: {cm}^{3}}

Now, we can find the volume of the frustum.

We'll have to minus the volume of the smaller cone from the bigger cone.

V= 1340.41-167.55

\large\boxed{V= 1172.86 \: {cm}^{3}}

<u>Hence, the volume of the frustum is 1172.86 cubic centimeters.</u>



8 0
2 years ago
Someone help please! D:
Dahasolnce [82]

Answer:

D) (10,22)

Step-by-step explanation:

based on given slope and point, the linear equation is <em>y = 9/5x + 2</em>

plugging in x-and-y values only results in a true statement for option D

example:

22 = 9/5(10) + 2

Does 22 = 18 + 2?  Yes

6 0
3 years ago
HELP! How do I solve this to find the x?
Dmitrij [34]

Answer:

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Step-by-step explanation:

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3 years ago
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The perimeter of this rectangle is 30 units. How long is the longer side?
IgorC [24]

Answer:

b. 9 units

Step-by-step explanation:

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5 0
3 years ago
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