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sweet-ann [11.9K]
3 years ago
6

The hypotenuse of a right triangle is 4 feet

Mathematics
1 answer:
zaharov [31]3 years ago
3 0

Answer:

514 feet

Step-by-step explanation:

Just simply use the pythagorean thereom:

a^2 +b^2 = c^2

put in the values of a, b, and c with the side lengths of the triangle:

x feet, 64 feet, and x+4 feet

x^2 +64^2 = (x+4)^2 , thus x =510

the hypotenuse = x+4 feet = 510 + 4 = 514

ANSWER: 514 feet

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F(x)=x^3 −9x <br> What is the average rate of change of over the interval [1,6]?
Inga [223]

Answer:

34

Step-by-step explanation:

The average rate of change of f(x) in the closed interval [ a, b ] is

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

Here [ a, b ] = [ 1, 6 ], thus

f(b) = f(6) = 6³ - 9(6) = 216 - 54 = 162

f(a) = f(1) = 1³ - 9(1) = 1 - 9 = - 8

average rate of change = \frac{162-(-8)}{6-1} = \frac{170}{5} = 34

8 0
3 years ago
As an estimation we are told 5 miles is 8 km. <br> Convert 2.5 miles to km.
Digiron [165]

Answer:

4km

Step-by-step explanation:

In order to find the answer to this question you must simply divide.

5m=8km

2.5m=4km

8\div2=4

5=2.5+2.5

=4km

Hope this helps

7 0
3 years ago
Completethe equationso that it has no solution.5x – 4 = 5 + ?​
Naddik [55]

Step-by-step explanation:

5x−4=5

1 Add 44 to both sides.

5x=5+4

5x=5+4

2 Simplify 5+45+4 to 99.

5x=9

5x=9

3 Divide both sides by 55.

x=\frac{9}{5}

x=

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4 0
2 years ago
Carl spent $140 in six days. He spent $20 on the first day. He spent the same amount of money during the next five days. 4a.Writ
expeople1 [14]

Answer:

20 + 5m = 140

$24 on each day of the last five days

Step-by-step explanation:

Total amount to spend in 6 days = $140

He spent:

First day = $20

Balance = Total amount to spend - Amount spent on first day

= $140 - $20

= $120

He spent the same amount of money during the next five days.

Amount spent each day in the last 5 days = Balance / 5 days

= 120 / 5

= 24

Amount spent each day in the last 5 days = $24

The equation is

20 + 5m = 140

Where,

m = amount spent in the last five days

20 + 5m = 140

5m = 140 - 20

5m = 120

m = 120 / 5

m = $24

5 0
3 years ago
Find the greatest common factor of 270 and 360. (Give the answer in the numerical form in the top box and in exponential form by
Kipish [7]

Answer:

90

Step-by-step explanation:

The factors of 270 are: 1, 2, 3, 5, 6, 9, 10, 15, 18, 27, 30, 45, 54, 90, 135, 270

The factors of 360 are: 1, 2, 3, 4, 5, 6, 8, 9, 10, 12, 15, 18, 20, 24, 30, 36, 40, 45, 60, 72, 90, 120, 180, 360

Then the greatest common factor is 90.

5 0
3 years ago
Read 2 more answers
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