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3 years ago

Harold says, to find 6x8, i can use the facts for 5x 4 and 1x4. do you agree? explain.

Mathematics

2 answers:

const2013 [10]3 years ago

6 0

No, because 5x4 equals 20 and 1x4 equals 4. And if add 20 plus 4 it equals 24. That is why he is wrong.

FinnZ [79.3K]3 years ago

4 0

I do not agree, because 6×8=48.If I multipy 5×4=20 and 1×4=4 and if you add it it will make 24.We don't want 24 we want 48

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A right rectangular prism has a length of 8 centimeters, a width of 3 centimeters, and a height of 5 centimeters. What is the su

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Answer: $158cm^2$

Step-by-step explanation:

You can use the following formula to calculate the surface area of the right rectangular prism:

$SA = 2(wl +lh + hw)$

Where "w" is the width, "l" is the length, and "h" is the height.

Knowing that this rigth rectangular prism has a length of 8 centimeters, a width of 3 centimeters and a height of 5 centimeters, you can substitute these values into the formula.

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Given right triangle ABC with altitude BD drawn to hypotenuse AC. If AC =16 and DC=5 what is the length of BC in the simplest ra

Nana76 [90]

The length of BC is $4 \sqrt{5}$ .

Solution:

Given ABC is a right triangle.

AC is the hypotenuse and BD is the altitude.

AB and BC are legs of the triangle ABC.

AC = 16 and DC = 5

<u>Leg rule of geometric mean theorem:</u>

$\frac{\text { hypotenuse }}{\text { leg }}=\frac{\text { leg }}{\text { part }}$

$\Rightarrow \frac{AC}{BC}=\frac{BC}{DC}$

$\Rightarrow \frac{16}{x}=\frac{x}{5}$

Do cross multiplication.

$\Rightarrow 16\times 5 = x\times x$

$\Rightarrow 80= x^2$

$\Rightarrow 16\times 5= x^2$

Taking square root on both sides.

$\Rightarrow \sqrt{16\times 5} = \sqrt{x^2}$

$\Rightarrow \sqrt{4^2\times 5} = \sqrt{x^2}$

square and square roots get canceled, we get

$\Rightarrow 4\sqrt{ 5} = x$

The length of BC is $4 \sqrt{5}$ .

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