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3 years ago

If a shape has triple the dimensions of a similar shape then it has _______ the area *

Mathematics

1 answer:

IrinaK [193]3 years ago

7 0

Answer:

9 times

Step-by-step explanation:

The best way to go about this is to give actual figures

Let us consider rectangular shape

Let us have a rectangle with dimensions 6 m by 12 m

The area will be 6 * 12 = 72 m^2

The shape having a similar dimension would have dimensions 12m by 36 m

So its area will be ;

18 * 36 = 648 m^2

So we finally proceed to make a division

Mathematically, that will be 648/72 = 9

So the area will be in the ratio of 1 to 9

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How wide is a rectangular table with a length of 2/3 yard yard and an area of 1/2 square yard?

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2 years ago

From his eye, which stands 1.59 meters above the ground, Francisco measures the

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The height of the skyscraper to the nearest tenth is 234. 95 meters.

<h3>How to determine the height</h3>

From the information given, we have:

angle of elevation = 32°
length of the base, adjacent side = 376 meters
height of the skyscraper, opposite side = x meters

To determine the height of the elevator, let's use the tangent identity

We have that;

tan θ = opposite/ adjacent

The value of the opposite side is 'x' which is the height of the skyscraper and the value of the adjacent side is 376 meters which is the length of the base of the skyscraper

Now, substitute the values, we have;

tan 32 = x/ 376

cross multiply

x = tan 32 × 376

x = 0. 6249 × 376

x = 234. 95 meters

We know that the 'x' represents the opposite side and thus the height of the skyscraper

Thus, the height of the skyscraper to the nearest tenth is 234. 95 meters.

Learn more about angle of elevation here:

brainly.com/question/19594654

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2 years ago

A polyhedron with 16 edges cannot be a prism. Explain why this must be true

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Answer:

This prism has: 5 Faces. 6 Vertices (corner points) 9 Edges.

Step-by-step explanation:

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2 years ago

Tara wants to fix the location of a mountain by taking measurements from two positions 3 miles apart. From the first position, t

Black_prince [1.1K]

Answer:

Shortest distance from the mountain is 3.17 miles.

Step-by-step explanation:

From the figure attached,

Let a mountain is located at point A.

Angle between the mountain and point B (∠B) = 53°

Angle between the mountain and point C (∠C) = 78°

Distance between these points = 3 miles

Since, m∠A + m∠B + m∠C = 180°

m∠A + 53° + 78° = 180°

m∠A = 180°- 131° = 49°

By applying sine rule in triangle ABC,

$\frac{\text{sin}(49)}{BC}=\frac{\text{sin}(53)}{AC}= \frac{\text{sin}(78)}{AB}$

$\frac{\text{sin}(49)}{3}=\frac{\text{sin}(53)}{AC}= \frac{\text{sin}(78)}{AB}$

$\frac{\text{sin}(49)}{3}=\frac{\text{sin}(53)}{AC}$

AC = $\frac{3\text{sin}(53)}{\text{sin}(49)}$

AC = 3.17 miles

$\frac{\text{sin}(49)}{3}=\frac{\text{sin}(78)}{AB}$

AB = $\frac{3\text{sin}(78)}{\text{sin}(49)}$

AB = 3.89 miles

Therefore, shortest distance from the mountain is 3.17 miles.

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2 years ago

Write a mathematical expression for the phrase 8 divided by x added to the absolute value of 5y

gizmo_the_mogwai [7]

Answer:

|5y|+8/x

Step-by-step explanation:

The mathematical expression is |5y|+8/x

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2 years ago