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Oksi-84 [34.3K]
3 years ago
10

A 15-foot pole is leaning against a tree. The bottom of the pole is 8 feet away from the bottom of the tree.

Mathematics
1 answer:
hodyreva [135]3 years ago
7 0
The answer would be B)12.7 feet
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What are the dimensions of a rectangular box with a volume of 50b 3 + 75b2 - 2b - 3?
Inessa [10]

Answer:

\large\boxed{(2b+3)\times(5b-1)\times(5b+1)}

Step-by-step explanation:

The formula of a volume of a rectangular box:

V=lwh

<em>l</em><em> - lenght</em>

<em>w</em><em> - width</em>

<em>h</em><em> - height</em>

V=50b^3+75b^2-2b-3=25b^2(2b+3)-1(2b+3)\\\\=(2b+3)(25b^2-1)=(2b+3)(5^2b^2-1^2)\\\\=(2b+3)\bigg((5b)^2-1^2\bigg)\qquad\text{use}\ a^2-b^2=(a-b)(a+b)\\\\=(2b+3)(5b-1)(5b+1)

Therefore the dinemsions of thisp prism are:

(2b+3)\times(5b-1)\times(5b+1)

5 0
3 years ago
Read 2 more answers
Answer these for a brainliest
natita [175]
5.
x - y = 11
2x + y = 19
2x - 2y = 22
2x + y = 19
-3y = 3
y = -1
x + 1 = 11
x = 10
(10, -1)

6.
-6x + 6y = 6
-6x + 3y = -12
3y = 18
y = 6
-6x + 36 = 6
-6x = -30
x = 5
(5, 6)
4 0
3 years ago
The function f(t)=-16 + 100 models the height of a ball, in feet, dropped from a 100-foot rooftop at time t, in seconds.
Mazyrski [523]

Using it's concept, it is found that the average rate of change of the function during the interval from 0 to 2 seconds is given by:

B. -32 ft/s; the average change in altitude of the ball each second over that interval.

<h3>What is the average rate of change of a function?</h3>

The average rate of change of a function is given by the change in the output divided by the change in the input. Hence, over an interval [a,b], the rate is given as follows:

r = \frac{f(b) - f(a)}{b - a}

In this problem, the function is given by:

f(t) = -16t² + 100.

The outputs are given as follows:

  • f(0) = -16(0)² + 100 = 100.
  • f(0) = -16(2)² + 100 = 36.

Hence the average rate of change is given by:

r = (36 - 100)/(2 - 0) = -32 ft/s.

And the correct option is:

B. -32 ft/s; the average change in altitude of the ball each second over that interval.

More can be learned about the average rate of change of a function at brainly.com/question/24313700

#SPJ1

8 0
2 years ago
The sum of two positive integers, a and b, is at least 30. The difference of the two integers is at least 10. If b is the greate
spin [16.1K]
A+b > 30

b-a > 10

hope it helps :)
5 0
3 years ago
Read 2 more answers
What set of ordered pairs represents y as a function of x?
rusak2 [61]
The set {(1, 2), (2, -3), (3, 4), (4, -5)} represents y as a function of x
Question 2:
The best statement describes the relation is "The relation represents y as a function of x, because each value of x is associated with a single value of y" ⇒ 3rd answer
Question 4:
There are missing options so we can not find the correct answer
Question 5:
The sets {(1 , 1), (2 , 2), (2 , 3)} and {(1, 2), (1, 3), (1, 1)} do not represent y as a function of x ⇒ 1st and 4th answers
Step-by-step explanation:
The relation is a function if each value of x has ONLY one value of y
Ex: The set {(3 , 5) , (-2 , 1) , (4 , 3)} represents y as a function of x because x = 3 has only y = 5, x = -2 has only y = 1, x = 4 has only y = 3
The set {(4 , 5) , (-2 , 1) , (4 , 3)} does not represent y as a function of x because x = 4 has two values of y 5 and 3
3 0
3 years ago
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