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Nata [24]
3 years ago
6

Find the missing side length using the Pythagorean Theorem. a²+6² = c²

Mathematics
1 answer:
r-ruslan [8.4K]3 years ago
6 0

Answer:

18

Step-by-step explanation:

Hello!

In the Pythagorean theorem, the summation of the square of the legs in a right triangle is equal to the square of the hypotenuse.

Let a and b be the legs, and c is the hypotenuse.

a² + b² = c²

In this equation, the hypotenuse is 30, and the measure of one leg is 24.

We can solve this by plugging in the values.

  • a² + b² = c²
  • 24² + b² = 30²
  • 576 + b² = 900
  • 324 = b²
  • b = 18

So the missing side length is 18.

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What is the average rate of change for ƒ(x) = −2x + 70 over the interval 2 ≤ x ≤ 6?
Anvisha [2.4K]

Answer:

The average rate of change is -2

Step-by-step explanation:

we know that

To find out the average rate of change, we divide the change in the output value by the change in the input value.

In a linear function the average rate of change is a constant and is equal to the slope of the function

The linear function in slope intercept form is equal to

f(x)=mx+b

where

m is the slope or unit rate of the linear function

b is the y-intercept or initial value of the linear function

In this problem we have

f(x)=-2x+70

so

m=-2\\b=70

therefore

The average rate of change is -2

4 0
4 years ago
At Mountain Park Middle School, there are 250 seventh-grade students. Currently, 32% of those students are in
sergij07 [2.7K]
A =250 - (250 x 0.32)
3 0
3 years ago
Which expression shows the factorization of 48?​
kipiarov [429]

Answer:

2 × 2 × 2 × 2 × 3, or 2^{4} ×3.

5 0
3 years ago
The answer choices are in the photo
kirill [66]

Answer:

35 units²

Step-by-step explanation:

The area (A) of a triangle is calculated as

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

Here b = 14 and h = 5, thus

A = \frac{1}{2} × 14 × 5 = 7 × 5 = 35 units²

5 0
4 years ago
Read 2 more answers
Two semicircles are placed in a rectangle, as shown below. The length of the rectangle is 48. And do not round your answer. Be s
ANTONII [103]

Answer and Step-by-step explanation:

Firstly, we should note that the rectangle given is a square. This is because, the diameter of the semicircle is the same horizontally and vertically

Since the length of the rectangle is 48, it means the radius of each semi circle is 24.

The area of one semicircle will be:

0.5πr²

Where r = 24 and π = 3.14

0.5 x 3.14 x 24 = 37.68 square units

Since we have two semicircles, then the area of both will be:

37.68 x 2 = 75.36 square units.

To find the area shaded portion. Since I cannot see the diagram, there are two possibilities. If the shaded potion is just the two semicircles, then the area is 75.36 square units. But if the shaded portion is what ever remains after taking out the semicircles, then the area would be:

48² – 75.36 = 2133.64 square units.

6 0
3 years ago
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