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maks197457 [2]
3 years ago
7

Brandon is making a ramp . The ramp stands 3 feet tall and is 9 feet long . How long is the base of the ramp

Mathematics
1 answer:
tresset_1 [31]3 years ago
8 0

Answer: 8.48 Feet

Step-by-step explanation:

We can use the Pythagorean Theorem, A^2 + B^2 = C^2

A^2 + B^2 = C^2

A^2 + 3^2 = 9^2

A^2 + 9 = 81

81 - 9 = A^2

72 = A^2

√72 = A

8.48 = A

Hope this helps!

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elsa,ryan, and jim sent a total of 116 text messgaes during the weekend. ryan sent 4 times as many messages as jim. elsa sent 10
kozerog [31]

The number of messages sent by Elsa, Ryan and Jim are 11 , 84 and 21 respectively.

<em><u>Explanation</u></em>

Suppose, the number of messages Jim sent is x

As Ryan sent 4 times as many messages as Jim, so the number of messages sent by Ryan = 4x

Also, Elsa sent 10 fewer messages than Jim, so the number of messages sent by Elsa = x-10

Given that, they sent a <u>total of 116</u> text messages. So the equation will be.......

x+4x+(x-10)=116\\ \\ 6x-10=116\\ \\ 6x= 126\\ \\ x= \frac{126}{6}= 21

So, the number of messages sent by each of them.....

Jim = 21\\ Ryan = 4*21= 84\\ Elsa= 21-10= 11

4 0
3 years ago
A recent survey estimated that 19 percent of all people living in a certain region regularly use sunscreen when going outdoors.
serg [7]

The correct option is: (E) It is plausible that the percent of all people living in the region who regularly use sunscreen is 18.5%.

<u>Step-by-step explanation:</u>

The margin of error is a statistic expressing the amount of random sampling error that occurred due to miscalculation and survey results. The margin error is usually a small amount of error.

Generally 5% of margin of error is common and acceptable. When the percentage of the margin of error increases, the confidence in the report result will be reduced.

The recent survey reveals that 19% of the people living in a certain region regularly use sunscreen when going outdoors. The permissible margin of error in this survey is 1%.

Probably the percentage of people using sunscreen in the particular region will be <u>18.5%. </u>

5 0
3 years ago
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NARA [144]
The first one is the answer
8 0
3 years ago
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A submarine at an elevation of -35 feet rises 35 feet. what is an elevation of the submarine after it rises
elena55 [62]
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3 years ago
Solve the following equation:<br> 9n² - n - 2/3 = 0
KIM [24]

Answer:

see explanation

Step-by-step explanation:

Given

9n² - n - \frac{2}{3} = 0 ← multiply through by 3 to clear the fraction

27n² - 3n - 2 = 0 ← factoring

Consider the factors of the product of the n² term and the constant term which sum to give the coefficient of the n- term

product = 27 × - 2 = - 54 and sum = - 3

The factors are - 9 and + 6

Use these factors to split the n- term

27n² - 9n + 6n - 2 = 0 ( factor the first/second and third/fourth terms )

9n(3n - 1) + 2(3n - 1) = 0 ← factor out (3n - 1) from each term

(3n - 1)(9n + 2) = 0

Equate each factor to zero and solve for n

3n - 1 = 0 ⇒ 3n = 1 ⇒ n = \frac{1}{3}

9n + 2 = 0 ⇒ 9n = - 2 ⇒ n = - \frac{2}{9}

3 0
3 years ago
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