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enyata [817]
3 years ago
8

49.3 mm = _______ cm Need help on this

Mathematics
2 answers:
Verdich [7]3 years ago
6 0
49.3 mm= 4.93

Whe you are converting mm to cm you divide by 100 so you have 49.3/100= 4.93
son4ous [18]3 years ago
4 0
10mm = 1cm
49.3mm= 4.93cm

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What is ​11918​ as a mixed number in simplest form?<br><br> Enter your answer in the box.
sveta [45]

Answer:

the answer is 11 1/2.

Step-by-step explanation:

I used a calculator

8 0
3 years ago
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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>
  • Frustum is a part of a cone formed by cutting off the top by a parallel plane.

\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
Is it multiplication or division?...How much ch ice cream does each cone hold of four cones hold 1/2 pound
zubka84 [21]

2 ounces

using the conversion

1 pound = 16 ounces ⇒ \frac{1}{2} = 8 ounces

Divide 8 by 4 to calculate amount for each cone

amount = 8 ÷ 4 = 2 ounces


4 0
3 years ago
Explicit and Recursive Functions:
aleksandr82 [10.1K]
In this problem we need to find the value of a and b. So given that t<span>he function should be in the form f(n) = an + b and we know each value of n, then out goal is to find a and b.

For getting this purpose, we need to find a system of two equations (given that we have two unknown variables)

Therefore:

(1) f(0) = a(1) + b = 18
</span>∴ a + b = 18
<span>
(2) f(1) = a(2) + b = 24
</span>∴ 2a + b = 24<span>

Solving for a and b we have:

a = 6
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7 0
4 years ago
I need help with this question please.
vredina [299]

Answer:

tan(2x)=-24/7

Step-by-step explanation:

Since tan(x)=sin(x)/cos(x)

We are going to need sin(x) any time, so lets find it right away.

To do this, remember that. sin(x)^2 + cos(x)^2=1

so. sin(x)= \sqrt{1 - (cos(x)^{2} )}=\sqrt{1-(-4/5)^{2} }

This leads to.

\sqrt{\frac{25-16}{25} } =\sqrt{\frac{9}{25} }=+/- 3-5

We have obtained two solutions, -3/5 and 3/5.

We need to pick one, since not all of them are correct for our scenario, in this case, we've been told that x belongs to the range [180, 270], in this range, sin(x)<0.

So in our previous solution, we have that sin(x)= -3/5

Now, to find tang(2x), we need to apply the definition

Tang(2x)=sin(2x)/cos(2x).

Lets remember that

sin(2x)=2*sin(x)*cos(x)

cos(2x)=cos(x)^2 - sin(x)^2.

Lets evaluate our given result.

sin(2x)=2*(-3/5)*(4/5)=-24/25

cos(2x)=(-4/5)^2 - (3/5)^2=7/25

Hence

tan(2x)= -(24/25) / (7/25)=-24/7

5 0
3 years ago
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