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3 years ago

What is the solution to the proportion? 5/x = 2/16

Mathematics

1 answer:

mixas84 [53]3 years ago

5 0

Answer:

I believe the answer is X=40

Step-by-step explanation:

cross multiply 5*16 = X * 2

Multiply 5*16

80= X*2

Add '-2x' to each side of the equation

80 + -2x = 2x + -2x

Combine like terms

80 + -2x = 0

Add '-80' to each side of the equation.

80 + -80 + -2x = 0 + -80

Combine like terms: 80 + -80 = 0

0 + -2x = 0 + -80

-2x = 0 + -80

Combine like terms: 0 + -80 = -80

-2x = -80

Divide each side by '-2'.

x = 40

Simplifying

x = 40

Hope this helped :)

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What is the volume of a cone that has a radius of 4 cm and a height of 9 cm?

vodka [1.7K]

For any sort of pyramid or cone, the volume is 1/3 of the volume of a prism with the same base and height. Since the volume of a prism/cylinder is $V=Bh$ , the volume of a pyramid/cone is $V=\frac{1}3Bh$ .

In this case, our base is a circle, which has a radius of 4 cm.
The area of a circle is $A=\pi r^2$ where r is the radius.
$A=\pi (4)^2=\pi (4\times4)=16\pi=B$

We now know that our base is 16π cm.
We also know that our height is 9 cm.
Let's plug these into our volume formula.

$V=\frac{1}3\times16\pi \times9$

Use 3.14 to approximate pi as the question states. 16 × 3.14 = 50.24.

$V\approx\frac{1}3\times50.24\times9$

We could punch all of that into our calculator to get the same answer, but since 1/3 of 9 is clearly 3, let's just go with that.

$V\approx3\times50.24$

$\boxed{V\approx150.72\ cm^3}$

8 0

3 years ago

Read 2 more answers

A packaging company is planning is in the planning stages of creating a box that include a three dimensional support inside the

Oliga [24]

Answer:

The length of the diagonal support is 69 feet.

Step-by-step explanation:

Dimensions of the box: length = 6 feet

width = 5 feet

height = 8 feet

The diagonal support relates with the diagonal of the base and the height.

From the base of the box, let the length of its diagonal be represented by x. Applying Pythagoras theorem;

$/Hyp/^{2}$ = $/Adj 1/^{2}$ + $/Adj 2/^{2}$

$x^{2}$ = $6^{2}$ + $5^{2}$

$x^{2}$ = 36 + 25

= 61

x = $\sqrt{61}$

= 7.81

let the length of the diagonal support be represented by l. So that;

$/Hyp/^{2}$ = $/Adj 1/^{2}$ + $/Adj 2/^{2}$

$l^{2}$ = $x^{2}$ + $8^{2}$

= $\sqrt{61}$ + 64

l = $\sqrt{\sqrt{61} + 64 }$

= 61 + 8

= 69

Thus, the length of the diagonal support is 69 feet.

6 0

3 years ago

Solve the equation. PLS

pochemuha

Answer:

n= 26, so the answer would be 'B'.

Step-by-step explanation:

n-8=18

n=18+8

n=26

4 0

3 years ago

Read 2 more answers

The expression sin 50 cos 40 + cos 50 sin 40 is equivalent to

enyata [817]

Sin (a+b) = sin a. cos b + cos a. sin b

a= 50° and b=40°, then

sin(50+40) = sin 50° . cos 40° + cos 50° . sin 40°

sin(50+40) = sin 90° = 1 and

sin 50° . cos 40° + cos 50° . sin 40° = 1

8 0

3 years ago

Pedro has 3 boxes of 6 markers. Rafael has 5 boxes of 5 markers. One of the friends arranges all his markers into 2 equal groups

Komok [63]

Answer:

see below

Step-by-step explanation:

Pedro has 3 boxes of 6 markers.

3*6 = 18 markers

We can divide this by 2 because this is even

18/2 = 9

There are 9 in each group

Rafael has 5 boxes of 5 markers

5*5 = 25

We cannot divide this by 2 because this is odd

3 0

3 years ago