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Aleonysh [2.5K]
2 years ago
8

The bases of Triangle A and Triangle B are equal. The ratio of the height of

Mathematics
1 answer:
Lunna [17]2 years ago
3 0

Answer:

A = 120 cm²

Step-by-step explanation:

The 4 part of the ratio relates to the height of triangle A , then

16 ÷ 4 = 4 cm ← value of 1 part of the ratio, then

5 parts = 5 × 4 cm = 20 cm

The area (A) of triangle B is calculated as

A = \frac{1}{2} bh ( b is the base and h the height )

Here b = 12 and h = 20 , then

A = \frac{1}{2} × 12 × 20 = 6 × 20 = 120 cm²

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The answer is d. the y intercept is 3 and the slope is 4
5 0
3 years ago
Find the average rate of change of f(x) = 4x² – 3 from 3 to 9.
Lina20 [59]

Answer:

44

Step-by-step explanation:

Given:

f(x) = 4x^2 - 3

Required:

Average range of change from 3 to 9

SOLUTION:

Step 1:

Find f(3) and f(9):

To find f(3), replace x with 3 in the given function

f(3) = 4(3)^2 - 3

f(3) = 4(9) - 3

f(3) = 36 - 3

f(3) = 33

To find f(9), replace x with 9 in the given function

f(9) = 4(9)^2 - 3

f(9) = 4(81) - 3

f(9) = 324 - 3

f(9) = 321

Average rate of change = \frac{f(b) - f(a)}{b - a}

Where,

a = 3, f(a) = 33

b = 9, f(b) = 321

Plug in the values into the formula for average rate of change.

= \frac{321 - 33}{9 - 3}

= \frac{288}{6}

= 44

Average rate of change = 44

3 0
3 years ago
The length of the hypotenuse of a 30-60 -90 triangle is 14 units. what is the length of the short leg
kifflom [539]

Recall that the short leg is the side opposite the 30 degrees angle. And the ratio of the short leg to the hypotenuse is 1:2.

Let the length of the short leg be x, then,

\cfrac{x}{14}=\cfrac{1}{2}\\ \\\Rightarrow2x=14\\ \\\Rightarrow x=\cfrac{14}{2}=7

6 0
4 years ago
=
Georgia [21]

Answer:

the answer should be D.

5 0
3 years ago
How many ways are there to write 10 to the power of 7? How many ways are there to write 10 to the power of 8? Please, I need hel
SVETLANKA909090 [29]
There is only one way to do power of 10 the answer would be 70 and80.
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3 years ago
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