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Tatiana [17]
3 years ago
15

A = √7 + √c and b = √63 + √d where c and d are positive integers.

Mathematics
1 answer:
mrs_skeptik [129]3 years ago
3 0

Answer:

\displaystyle a:b=\frac{1}{3}

Step-by-step explanation:

<u>Ratios </u>

We are given the following relations:

a=\sqrt{7}+\sqrt{c}\qquad \qquad[1]

b=\sqrt{63}+\sqrt{d}\qquad \qquad[2]

\displaystyle \frac{c}{d}=\frac{1}{9} \qquad \qquad [3]

From [3]:

9c=d

Replacing into [2]:

b=\sqrt{63}+\sqrt{9c}

We can express 63=9*7:

b=\sqrt{9*7}+\sqrt{9c}

Taking the square root of 9:

b=3\sqrt{7}+3\sqrt{c}

Factoring:

b=3(\sqrt{7}+\sqrt{c})

Find the ration a:b:

\displaystyle a:b=\frac{\sqrt{7}+\sqrt{c}}{3(\sqrt{7}+\sqrt{c})}

Simplifying:

\boxed{a:b=\frac{1}{3}}

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Answer:

<h3>83°</h3>

Step-by-step explanation:

Given the parameters

m2 ROC = 31° and

m2 COL = 52°

According to the diagram in the attachment;

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Substitute the given values into the expression as shown;

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8 0
3 years ago
What letter on this number line represents -(3/2)?
Rina8888 [55]

Answer:

B

Step-by-step explanation:

- 3/2 is - 1.5 , and B is - 1.5

6 0
2 years ago
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8 0
2 years ago
In 2002, the Bookstore sold 1000 paperback books and 1500 hardback books. In 2003, the store sold 15% more paperback books and 5
ratelena [41]
Given:
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1150 + 1575 = 2,725

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7 0
3 years ago
Two boys decided to buy a computer. The second boy had 5 6 of the money the first had. The first boy had 7 8 of the price of the
sdas [7]

Answer: The price for the computer = $1152

Step-by-step explanation:

Let the first boy = F

Let the second boy = S

Let the price of computer = C

The second boy had 5/ 6 of the money the first had. I.e

S = 5/6 F

Then F = 6/5S ......(1)

The first boy had 7 /8 of the price of the computer. That is

F = 7/8C ....... (2)

Substitute F in (1) into (2)

6/5S = 7/8C

S = 5/6 × 7/8C

S = 35/48C ......(3)

Together they had $696.00 more than they need to pay. That is

F + S = C + 696 ........ (4)

Substitute equation 2 and 3 into 4

7/8C + 35/48C = C + 696

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C = 696/0.604

C = 1152 dollars

Therefore, the price for the computer = $1152

7 0
3 years ago
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