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3 years ago

Observe the graph below. The scale factor used to dilate ABC was...

Mathematics

1 answer:

Lera25 [3.4K]3 years ago

7 0

Answer:

Step-by-step explanation:

AB = 1 unit

A'B' = 3 units

The scale of dilation = A'B'/AB

Therefore:

scale of dilation = 3 units / 1 unit = 3

This means that ABC was dilated or enlarged in size by multiplying every of its segment by 3. In essence, A'B'C' is 3 times the size of ABC.

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This is pretty self-explanatory. Cathy reads 15.5 pages per hour. How many pages will she read in 2.75 hours?

Vanyuwa [196]

42.625 because you multiply 15.5 and 2.75

3 0

3 years ago

Read 2 more answers

2. Chaleah deposited 700$ in a new account that earns 5% simple interest. After 4 years,

Oxana [17]

Answer:

Interest earned: $150.85

Total amount: $850.86

Step-by-step explanation:

Y=700(1.05)^4

Put the right side of the equation into a calculator and get

850.85 that's your total, so to get the amount earned subtract the original 700 from it and get 150.85

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3 years ago

The sun casts a 70 foot shadow on a 30 foot tree. Find the angle of elevation to the nearest degree.

Nesterboy [21]

Answer:

23°

Step-by-step explanation:

We apply Pythagorean theorem to determine the missing length, Hypotenuse:

$h^2+b^2=H^2\\\\70^2+30^2=H^2\\\\H=\sqrt{5800}\\\\=76.15773\ ft$

This hypotenuse corresponds to the right triangle and the tree's height, corresponds to the angle of elevation:

-We apply the law of Sines;

$\frac{a}{Sin \ A}=\frac{b}{Sin\ B}\\\\\\\frac{76.15773}{Sin \ 90}=\frac{30}{Sin\ h}\\\\h=Sin^{-1}\frac{30}{76.15773}\\\\=23.19859\approx 23\textdegree$

Hence, the angle of elevation is 23°

8 0

3 years ago

Write the point-slope form of each graph. Use the red point to write your equation. State the point and slope.

Vinil7 [7]

Answer:

First Graph:

Slope = - 4/5

Point-Slope Form: y - 3 = - 4/5 (x + 2)

Point: (-2, 3)

Second graph:

Slope = 4

Point-Slope Form: y + 6 = 4 (x + 1)

Point: (-1, -6)

Step-by-step explanation:

First graph has two points: (-2, 3) & (8, -5)

Use the two points to find the slope using the Slope-Formula

Slope-Formula: y2 - y1/x2 - x1

m = slope

m = - 5 - 3/8 - - 2

m = - 8/10

m = - 4/5

The slope of the line will be - 4/5

Now for Point-Slope Form, we’ll need to use the two points with the slope to identify the Point-Slope Form of the graph

Two points: (-2, 3) & (8, -5)

Slope: - 4/5

Point-Slope Formula: y - y1 = m (x - x1)

Point-Slope Form: y - 3 = - 4/5 (x + 2)

The point will be: (-2, 3)

5 0

3 years ago

Find the future value of #8000 at 12percent for 3 years

Bas_tet [7]

Answer:

Future value using simple interest = $10,880

Future value using Compound interest = $11,240 (Approx.)

Step-by-step explanation:

Given:

Principal Amount = $8,000

Rate = 12% = 0.12

Number of year = 3

Find:

Future value

Computation:

Future value using simple interest

Future value = P + (P)(R)(T)

Future value = 8,000 + (8,000)(0.12)(3)

Future value = 8,000 + 2,880

Future value using simple interest = $10,880

Future value using Compound interest

Future value = P[1+r]ⁿ

Future value = 8,000[1+0.12]³

Future value = 8,000[1.12]³

Future value using Compound interest = $11,240 (Approx.)

3 0

3 years ago