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frez [133]
3 years ago
7

What is the answer of 3[4(2³)-5²+7(8+4²)-16]?

Mathematics
1 answer:
Montano1993 [528]3 years ago
8 0

<span>3[4(23)-52+7(8+42)-16]</span>

<span>3 x (4 x 8 - 52 + 7 x (8 + 42) - 16)</span>

<span>3 x (32 - 52 + 7 x (8 + 42) - 16)</span>

<span>3 x (16 – 52 + 7 x (8 + 42))</span>

<span>3 x (16 - 25 + 7 x (8 + 42))</span>

<span>3 x (-9 + 7 x (8 + 42))</span>

3 x (-9 +7 x (8 + 16))

3 x (-9 + 7 x 24)

3 x (-9 + 168)

3 x 159

477


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Answer:

Rewrite so y is on the left side of the inequality.

−83y>43

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Inequality Form:

y<−1/2

Interval Notation:

(−∞,−1/2)

Step-by-step explanation:

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Factor the polynomial:<br> ab −3b+b^2−3a
Pavlova-9 [17]

ab(b-3)


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The base of a pentagonal prism is regular with an apothem of 4 cm. The height of the prism is 16 cm. Find the volume of the pris
Georgia [21]

Answer:

volume ≈ 930 cm³ (nearest cubic cm)

Step-by-step explanation:

The base of the prism which is a pentagon is regular. The apothem which is a line drawn from the center to any side of the pentagon is 4 cm. The height of the prism is 16 cm.

The volume of a prism = Bh

where

B = base area

h = height of the prism

The base of the prism can be divided into 5 congruent triangles.But the base of the triangles is unknown.

The sum of interior angle of a pentagon is 540°. That means each angle is 108° . The triangle divide the angle into 2. Making the 2 base angle as 54° each. The last angle of the triangle at the center is 72°(remember sum of angle in a triangle is 180° which is 54° + 54° + 72° = 180°) .

The angle form the center can be divided by the line of height of the triangles. The angle will then be 36°. Using tangential ratio half of the length of the base of the triangle can be known. Therefore,

tan 36° = opposite/adjacent

tan 36° = opposite/4

opposite = 4 tan 36°

The full base of the triangles = 2(4 tan 36°)

area of each triangle = 1/2 × 2(4 tan 36°) × 4 = 16 tan 36°

Base area of the prism(pentagon) = 5 × 16 tan 36° = 80 tan 36°

Volume of the prism = Bh

where

h = 16 cm

B = 80 tan 36°

volume =  80 tan 36° × 16 = 1280  tan 36° = 1280  × 0.726542528

volume = 929.974435847  cm³

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3 years ago
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Ksenya-84 [330]

Answer:

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Step-by-step explanation:

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Answer:

subtract 2.4 from both sides,  simplify to -3x=16.8, divide by -3, simplify to x=-5.6.

Step-by-step explanation:

-3x + 2.4 = 19.2

 v     <u>-2.4</u>   <u>-2.4</u>

 v       0      16.8

    <u>-3x</u>=<u>16.8</u>

     -3    -3

       x=-5.6

hope this helps,

<h3>Noelle</h3>
3 0
3 years ago
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