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emmasim [6.3K]
2 years ago
8

If a figure is dilated by a factor of 6 the area of the figure will change by a factor of?

Mathematics
1 answer:
djyliett [7]2 years ago
4 0
The figure will change by factor of 6
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Of the following integers, which is the closest approximation to (2√+5√)2(2+5)2?A. 7B. 10C. 13D. 15E. 17
MAXImum [283]

Answer:

C. 13

Step-by-step explanation:

from on online source, the question should be placed as thus:

Of the following integers, which is the closest approximation to (√2 + √5)^2 ?

A. 7

B. 10

C. 13

D. 15

E. 17

This is known as Algebraic expression. So we have to expand to simplify further

using  this identity  th (a+b)^2 = a^2 + b^2 +2ab

(√2 + √5)^2 =

(√2 + √5)(√2 + √5)

................Expansion of the above

\sqrt{2}* \sqrt{2} +\sqrt{2}* \sqrt{5} +\sqrt{2} *\sqrt{5}+\sqrt{5} *\sqrt{5}

2 + 5 + 2√10

~ 2 +5 + 2(3)

C. 13

3 0
3 years ago
Kenneth loaned $1,200 to his niece to buy a computer. Two years later, she paid him back the $1,200 along with an interest of $9
insens350 [35]

Answer:

<u>The  annual interest rate was 4%</u>

Step-by-step explanation:

1. Let's review the data given to us for solving the question:

Loan to Kenneth's niece to buy a computer = US$ 1,200

Duration of the loan = 2 years

Niece paid back to Kenneth = US$ 1,296

Annual interest rate = x%

2. Let's find the annual interest rate after 2 years, using the following formula:

FV = PV * (1 + x)

PV = Loan to Kenneth's niece to buy a computer = US$ 1,200

FV = Niece paid back to Kenneth = US$ 1,296

rate (r) = x

Replacing with the real values:

1,296 = 1,200 * (1 + x)

1.296/1.200 = (1 + x) (Dividing by 1,200 at both sides)

1.08 = 1 + x

1.08 - 1 = x (Subtracting 1 at both sides)

<u>0.08 = x</u>

This is the interest rate for two years, for finding the annual interest rate we divide it by 2, this way:

<u>0.08 / 2 = 0.04 * 100 = 4%</u>

7 0
3 years ago
The equation -3y= 5/3x + 4 expressed in standard form as
Tju [1.3M]

Answer:

its 4 and my brain is about to blow up cause i just know this

Step-by-step explanation:

3 0
2 years ago
Alana has 100 mL of water in her water bottle. She needs to share it with 3 other students so that all 4 of them have the same a
elena-14-01-66 [18.8K]

Answer:

each person (including Alana) gets 25mL of water

Step-by-step explanation:

since there is 4 ppl, and 100mL of water, you divide 100/4. Therefore, each person gets 25mL of water:)

6 0
3 years ago
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A rectangle has a perimeter of 54 cm. It has a length of 15 cm. What is its area? *
d1i1m1o1n [39]

the area is 180 cm. to find the perimeter you would do 15+15+14+14 to get 54 cm. So for area you do (l×w) which is 15×14=180.

5 0
2 years ago
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