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2 years ago

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Which expression is equivalent to 10a + 6?

2 answers:

Ad libitum [116K]2 years ago

4 0

Answer:

B. 2(5a + 3)

Step-by-step explanation:

Using the distributive property, we know that we can distribute to polynomial within parenthesis. So, following this, we can multiple 2*5a and 2*3. This gives us the expression, 10a+6. Showing that these two expressions are equivalent.

Additionally, the expression 2(5a+3) is an example of factoring. The GCF, 2, was factored out of the original expression 10a+6. Since 2(5a+3) is a factored form of 10a+6, they must be equivalent.

Gnoma [55]2 years ago

3 0

The answer is: 2(5a + 3)

hope this helps :)

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Find the total volume of the composite figure below. Round to the nearest thousandth.

cestrela7 [59]

Answer:

The volume of the composite figure is approximately 3567.198 cubic feet.

Step-by-step explanation:

The composite figure consists in the combination of a right cone and a cuboid. The volume of the composite ( $V$ ), in cubic feet, figure can be determined by this expression:

$V = \frac{1}{3}\cdot \pi \cdot r^{2}\cdot h + w\cdot H \cdot l$ (1)

Where:

$r$ - Radius of the circle of the right cone, in feet.

$h$ - Height of the cone, in feet.

$w$ - Width of the cuboid, in feet.

$H$ - Height of the cuboid, in feet.

$l$ - Length of the cuboid, in feet.

If we know that $r = 10\,ft$ , $h = 10\,ft$ , $w = 20\,ft$ , $H = 7\,ft$ and $l = 18\,ft$ , then the volume of the composite figure is:

$V = \frac{1}{3}\cdot \pi \cdot (10\,ft)^{2}\cdot (10\,ft) + (20\,ft)\cdot (7\,ft)\cdot (18\,ft)$

$V = \left(\frac{1000\pi}{3} + 2520\right)\,ft^{3}$

$V \approx 3567.198\,ft^{3}$

The volume of the composite figure is approximately 3567.198 cubic feet.

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