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3 years ago

What percent of 40 is 16?

Mathematics

1 answer:

kotegsom [21]3 years ago

5 0

Answer: E. 40

Step-by-step explanation:

Concept:

- When you encounter questions that state "what percent of [a] is [b]" then it means asking for a fraction of b to a, which is "(b/a)×100%".

- If you are still confused, I would provide some examples

What percent of 20 is 5: (5/20)×100% = 25%
What percent of 10 is 2: (2/10)×100% = 20%

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Solve:

(16/40)×100% = 0.4 × 100% = 40%

Hope this helps!! :)

Please let me know if you have any questions

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2 years ago

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3 years ago

How could you calculate each product? Describe the strategy you would use. Then calculate.

VashaNatasha [74]

Hey there!

1. To solve 9 x 5 , I could add the number 9 five times . . .

9 + 9 + 9 + 9 + 9 = 45

9 x 5 = 45 <----

2. I would use the same strategy as the first one, except add the number 8 five times . . .

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Hope this helps you.
Have a great day!

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3 years ago

Simplify (6g4h5)2 What is the answer

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Answer:

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6 0

2 years ago

If w = 12 units, x = 7 units, and y = 8 units, what is the surface area of the figure? Figure is composed of a right square pyra

bearhunter [10]

Answer:

720 sq units.

Step-by-step explanation:

Length and width of square prism, w = 12 units

Height of square prism, x = 7 units

Height of square pyramid, y = 8 units

Please have a look at the attached image.

Here 2 Surfaces will not be exposed which are base of the square pyramid and the top of the square prism i.e. 2 square surfaces will not be exposed.

Here, surface area of the composite figure will be:

Surface Area of Composite Figure = Lateral surface area of Square Pyramid + Surface Area of 5 surfaces of the square prism

For finding the lateral surface area of pyramid, we need to find the slant height of the pyramid.

Let slant height be $l$ units.

Using pythagoras theorem, we can find out the value of $l$ .

As per theorem:

$Hypotenuse^{2} = Base^{2} + Height^{2}\\$

$\Rightarrow l^{2} = (\dfrac{w}{2})^{2} + y^{2}\\\Rightarrow l^{2} = (\dfrac{12}{2})^{2} + 8^{2}\\\Rightarrow l^{2} = {6}^{2} + 8^{2}\\\Rightarrow l^{2} = 36+64 = 100\\\Rightarrow l = 10\ units$

Lateral surface area of square prism = 4 $\times$ Area of triangular surface

$\Rightarrow 4 \times \dfrac{1}{2}\times Base \times Slant\ Height\\\Rightarrow 4 \times \dfrac{1}{2} \times 10 \times 12\\\Rightarrow 240\ sq\ units$

Surface Area of 5 surfaces of the square prism =

$4 \times x \times w + w^2\\\Rightarrow 4 \times 12 \times 7 + 12^2\\\Rightarrow 336 +144\\\Rightarrow 480\ sq\ units$

So, total surface area of composite figure:

240 + 480 = 720 sq units.

7 0

3 years ago