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Schach [20]
3 years ago
6

Simplify -2x^3y x xy^2 A. -12x^4y^3 B. -3x^4y^3 C. -2x^4y^3 D. -2x^3y^4

Mathematics
1 answer:
adoni [48]3 years ago
8 0

Answer:

The answer is (C) ⇒ -2x^{4}y^{3}

Step-by-step explanation:

∵ (-2x³y) × (xy²) ⇒ add the power of same base

∴ -2(x^{3+1})(y^{1+2})=-2x^{4}y^{3}

∴ Answer (C)

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6 0
2 years ago
use the diagram to find the distance across the suspension bridge. Round your answer to the nearest foot
3241004551 [841]

Applying the tangent ratio, the distance across the suspension bridge is: 499.2 ft.

<h3>What is the Tangent Ratio?</h3>

Where we are given a right triangle, the tangent ratio is determined using the formula, tan ∅ = opposite side/adjacent side.

The diagram atatched beow whos the distance across the suspension bridge which consists of 6 identical right triangles.

Find the adjacent side of each right triangle using the tangent ratio:

∅ = 32

Opposite side = 52 ft

Adjacent side = x

Plug in the values into the tangent ratio:

tan 32 = 52/x

x = 52/tan 32

x = 83.2 ft.

Distance across the suspension bridge = 6(83.2) = 499.2 ft.

Therefore, applying the tangent ratio, the distance across the suspension bridge is: 499.2 ft.

Learn more about the tangent ratio on:

brainly.com/question/4326804

7 0
2 years ago
the area of the vegetable garden is 0.4 of the area of the community garden. What is the area of the vegetable garden?
labwork [276]

Answer:

11:6

Step-by-step explanation:

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8 0
3 years ago
QuestiuI4
4vir4ik [10]

Answer:

The new volume is 14,850cm³

Step-by-step explanation:

Given

Volume of a rectangular prism = 550cm

Required

Value of volume when the dimensions are tripled.

The volume of a rectangular prism is calculated using the following formula.

V = lbh

<em>When Volume = 550, the formula is written as follows</em>

550 = lbh

<em>Rearrange</em>

lbh = 550

However, when each dimension is tripled.

This means that,

new length = 3 * old length

new breadth = 3 * old breadth

new height = 3 * old height

<em>Let L, B and H represent the new length, new breadth and new height respectively</em>

In other words,

L = 3l

B = 3b

H = 3h

Calculating new volume

New volume = LBH

Substitute, 3l for L, 3b for B and 3h for H;

V = 3l * 3b * 3h

V = 3 * l * 3 * b * 3 * h

V = 3 * 3 * 3 * l*b*h

V = 27 * lbh

Recall that lbh = 550

So,

V = 27 * 550

V = 14,850

Hence, the new volume is 14,850cm³

6 0
3 years ago
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Answer:

Step-by-step explanation:

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