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Dafna11 [192]
3 years ago
15

Please help. A rectangle's length and width are in a ratio of 7:3. The area is 84 square feet. What are the

Mathematics
1 answer:
GalinKa [24]3 years ago
8 0

Answer:

length = 14 feet

width = 6 feet

Step-by-step explanation:

A = 84 feet square

ratio of length and width = 7 : 3

total ratio of length and width 10 = a

length = (7/10)a

width = (3/10)a

A = length x width = (7/10)a x (3/10)a = (21/100)a² = 84

a² = 84 x 100 : 21 = 400

a = 20 feet

length = 7/10 x 20 = 14 feet

width = 3/10 x 20 = 6 feet

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the tennis team wants to purchase tshirts for its members . company A charges a$20 setup fee and $8 per shirt company B charges
MA_775_DIABLO [31]

Answer:

1) 5 2) the first one

Step-by-step explanation:

1)

since the first time multiplying 8 to get a two digit number ending in zero is forty, i multiplied both by 5

2) 8 times 12= 96+20=116

   10 times 12=120 (already too much)+10=130

i hope this helps u

pls give a brainliest (i only need one more!) and a thx

6 0
3 years ago
Q15. Ken earned x dollars at his part-time job on Friday. His wife earned $12 more
Vladimir79 [104]

Answer: Ken Earned 81$

Step-by-step explanation: Subtract 12 from the total, then divide by 2 because his wife earns double than him, plus 12$ more.

Have a good day :)

3 0
1 year ago
Given that sin theta = 1/4, 0
GaryK [48]
Answer: cos(Θ) = (√15) / 4

Explanation:

The question states:

1) sin(Θ) = 1/4

2) 0 < Θ < π / 2

3) find cos(Θ)

This is how you solve it.

1) Use the fundamental identity (in this part I use α instead of Θ, just for facility of wirting the symbols, but they mean the same for the case).

(cos \alpha )^2 + (sin \alpha )^2 =1

2) From which you can find:

(cos \alpha )^2 = 1 - (sin \alpha )^2

3) Replace sin(α) with 1/4

=> (cos \alpha )^2 = 1 - (1/4)^2 = 1 - 1/16 = 15/16

=> cos \alpha =+/- \sqrt{15/16} = +/- (\sqrt{15} )/4

4) Given that the angle is in the first quadrant, you know that cosine is positive and the final answer is:

cos(Θ) = \sqrt{15} /4.

And that is the answer.
6 0
3 years ago
There are 5 boys for every 6 girls.How many boys would there be if there were 36 girls?
dimulka [17.4K]

Answer:

30

Step-by-step explanation:

If there are 5 for every 6, then you divide 36 by 6 and then you get 6

Once you get that, multiply 5 by 6 and get 30

4 0
3 years ago
Read 2 more answers
A paragraph proof
Butoxors [25]

A paragraph proof D. contains a set of sentences explaining the steps needed to reach a conclusion.

<h3>What is a paragraph proof?</h3>

It should be noted that a paragraph proof simply means a way of presenting a mathematical proof.

In this case, it contains a set of sentences explaining the steps needed to reach a conclusion.

In conclusion, the correct option is D.

Learn more about proof on:

brainly.com/question/17888884

#SPJ1

4 0
2 years ago
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