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3 years ago

Solve the following proportion? 5/10 = 8/w

Mathematics

1 answer:

Kipish [7]3 years ago

3 0

Answer:

Step-by-step explanation:

solve the following proportion?

5/10 = 8/w

5 : 10 = 8 : w

w = (10 * 8) : 5

w = 80 : 5

w = 16

----------------------

check

5 : 10 = 8 : 16

0.5 = 0.5

The answer is good

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Please help me im in a rush

ankoles [38]

Answer:

Step-by-step explanation:

A = 4 ft

B = 10 ft

C = 8 ft

D = 6 ft

b) Area of rectangle = length * width

Area of 2 triangle = base * height

Area of right triangular prism = area of 2 triangles +area of left rectangle + area of middle rectangle + area of right rectangle

= 6 * 8 + 4* 6 + 4 * 10 + 4 * 8

= 48 + 24 + 40 + 32

= 144 ft²

3 0

2 years ago

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A sphere and a cylinder have the same radius and height. The volume of the cylinder is 21m. what is the volume of the sphere.

Goshia [24]

Answer:

The volume of the sphere is 14m³

Step-by-step explanation:

Given

Volume of the cylinder = $21m^3$

Required

Volume of the sphere

Given that the volume of the cylinder is 21, the first step is to solve for the radius of the cylinder;

<em>Using the volume formula of a cylinder</em>

The formula goes thus

$V = \pi r^2h$

Substitute 21 for V; this gives

$21 = \pi r^2h$

Divide both sides by h

$\frac{21}{h} = \frac{\pi r^2h}{h}$

$\frac{21}{h} = \pi r^2$

The next step is to solve for the volume of the sphere using the following formula;

$V = \frac{4}{3}\pi r^3$

Divide both sides by r

$\frac{V}{r} = \frac{4}{3r}\pi r^3$

Expand Expression

$\frac{V}{r} = \frac{4}{3}\pi r^2$

Substitute $\frac{21}{h} = \pi r^2$

$\frac{V}{r} = \frac{4}{3} * \frac{21}{h}$

$\frac{V}{r} = \frac{84}{3h}$

$\frac{V}{r} = \frac{28}{h}$

Multiply both sided by r

$r * \frac{V}{r} = \frac{28}{h} * r$

$V = \frac{28r}{h}$ ------ equation 1

From the question, we were given that the height of the cylinder and the sphere have equal value;

This implies that the height of the cylinder equals the diameter of the sphere. In other words

$h = D$ , where D represents diameter of the sphere

Recall that $D = 2r$

So, $h = D = 2r$

$h = 2r$

Substitute 2r for h in equation 1

$V = \frac{28r}{2r}$

$V = \frac{28}{2}$

$V = 14$

Hence, the volume of the sphere is 14m³

4 0

3 years ago

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Your little brother just learned how to flip and catch a coin. He believes that by catching the coin in mid-air, he can influenc

coldgirl [10]

<h2>Answer explanation:</h2>

If a coin is fair then it has two faces , one is heads and the another is tails.

The probability getting any favorable outcomes is given by the formula :-

$\dfrac{\text{Number of favorable outcomes}}{\text{Total outcomes}}$

So the factor effecting probability is just the number of favorable outcomes and total outcomes.

If a coin is tossed then the probability of getting heads will be :-

$P(H)=\dfrac{1}{2}=0.5=50\%$

To get heads always this should be 1 , which can be happen if number of favorable outcomes is equal to total outcomes.

i.e. Number of heads = Number of total outcomes, this means coin should be biased.

Catching the coin in mid-air can never be a factor for this.

Therefore, the little brother's theory is false.

8 0

3 years ago

Answer 6, as quick as you can please

lisabon 2012 [21]

9514 1404 393

Answer:

0 ft

Step-by-step explanation:

The line hangs down 15 feet from the top of each pole, so the distance between them must be zero if the total line length is 30 feet.

3 0

3 years ago

Find the inverse of the function g(x)=(x-4)^2+11

dusya [7]

Answer:

y= $\sqrt{x-11} - 4$

Step-by-step explanation:

switch the x and y and solve for y.

4 0

3 years ago

Solve the following proportion? 5/10 = 8/w​

Solve the following proportion? 5/10 = 8/w