3 years ago

Choose the best answer that represents the property used to rewrite the expression.

Mathematics

1 answer:

cricket20 [7]3 years ago

6 0

Product property is the answer

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The base of a solid is the region in the first quadrant between the graph of y=x2 and the x -axis for 0≤x≤1 . For the solid, eac

nata0808 [166]

Answer:

The volume of the solid is π/40 cubic units.

Step-by-step explanation:

Please refer to the graph below.

Recall that the area of a semi-circle is given by:

$\displaystyle A=\frac{1}{2}\pi r^2$

The volume of the solid will be the integral from x = 0 to x = 1 of area A. Since the diameter is given by y, then the radius is y/2. Hence, the volume of the solid is:

$\displaystyle V=\int_0^1\frac{1}{2}\pi \left(\frac{y}{2}\right)^2\, dx$

Substitute:

$\displaystyle V=\frac{1}{2}\pi\int_0^1\left(\frac{x^2}{2}\right)^2\, dx$

Simplify:

$\displaystyle V=\frac{1}{2}\pi \int_0^1\frac{x^4}{4}\, dx$

Integrate:

$\displaystyle V=\frac{1}{2}\pi \left[\frac{x^5}{20}\Big|_0^1\right]$

Evaluate:

$\displaystyle V=\frac{\pi}{40}\left((1)^5-\left(0\right)^5\right)=\frac{\pi}{40}\text{ units}^3$

The volume of the solid is π/40 cubic units.

4 0

3 years ago

A regular hexagon has an apothem measuring 14 cm and an approximate perimeter of 96 cm.

Mariulka [41]

ANSWER

672cm²

EXPLANATION

The area of a regular hexagon is given by the formula,

$Area = \frac{1}{2} ap$

where a=14cm is the apothem and p=96cm is the perimeter of the regular hexagon.

We substitute the values into the formula,

$Area = \frac{1}{2} \times 14 \times 96 {cm}^{2}$

$Area =672 {cm}^{2}$

Therefore the approximate area of the hexagon is 672cm²

8 0

3 years ago

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3. Write an equation where the left side is your power of 10 times n and the right side

rjkz [21]

Answer:

10*0.11515

Step-by-step explanation:

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3 years ago

Find the missing side of the triangle. Round your answer to the nearest tenth if necessary.

bogdanovich [222]

Answer: The answer is 5

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3 years ago

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What value is equivalent to 13 − 2(1 − 15) ÷ 4?

Bas_tet [7]

Use bodmas.
13-2(-14)/4
-11(-14)/4
154/4
46

7 0

3 years ago

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