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igor_vitrenko [27]
3 years ago
12

Kevin has a rectangular

Mathematics
2 answers:
Nikitich [7]3 years ago
5 0

Answer:

20 feet long

Step-by-step explanation:

To solve this you need to use the Pythagorean theorum, a^2+b^2=c^2, where c is the length of rope needed and A and B are the side lengths. Think of it like a right triangle.

So, the equation is

12^2+16^2=c^2

Which is then

144+256=c^2

c^2=400

And the possible values of c are 20 and -20.

From here we know the answer cannot be -20 because you cannot have a negatively long length of rope, so the answer must be 20 feet.

9966 [12]3 years ago
5 0

Answer:

20 feet

Step-by-step explanation:

Use Pythagoras's theorem.

A^{2}+B^{2}  =C^{2} \\12^{2} +16^{2}= C^{2} \\400 = C^{2} \\\sqrt{400}= \sqrt{C^{2}\\\\

20 = C

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Afia bought shoes that were on sale for `30\%` off the regular price. Afia saved `\$12`. What was the regular price of the shoes
Vesnalui [34]

Answer:

$40

Step-by-step explanation:

30% = .30

$12/0.30 = 40

[RevyBreeze]

5 0
2 years ago
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Pre-image point N (6,-3) was dilated to point N(2,-1) What was the scale factor used?
tangare [24]
Answer:
The scale factor is 1/3

Explanation:
Given that the original point is has coordinates (x,y) and that the dilated point has coordinates (x',y'), we can see that:
x' = k * x
y' = k * y
where k is the scale factor

Now, for the given point we have:
original point = (6 , -3)
dilated point = (2 , -1)
Now, applying the above formula, we will find that:
For x-coordinate:
2 = k * 6
k = 2/6
k = 1/3
Check using the y-coordinate:
-1 = k * -3
k = -1 / -3
k = 1/3

From the above, we can confirm that:
k = 1/3

Hope this helps :)
3 0
3 years ago
(02.06) The table below shows that 1 day equals 24 hours. Notice that 12 hours is one-half of that. Use the table to help you de
mixer [17]

Answer:

1 and 3/4 days are equal to 42 hours

Step-by-step explanation:

42 hours = (42 hours) (1 day / 24 hours)

42 hours = 42/24 days

Simplyfing the fraction: Dividing the numerator and denominator by 6:

42 hours = (42/6) /  (24/6) days

42 hours = 7/4 days

42 hours = (4+3)/4 days

42 hours = (4/4+3/4) days

42 hours = 1 3/4 days

5 0
4 years ago
For science class, a student recorded the high and low temperatures, in Fahrenheit, over a ten day period in September. The data
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Answer:

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Step-by-step explanation:

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5 0
3 years ago
Jackson deposited $5000 at 3.8% interest compound continuously when he was 18 years old. How much will be in the account when he
weeeeeb [17]

Answer:

$11535.60

Step-by-step explanation:

We have been given that Jackson deposited $5000 at 3.8% interest compound continuously when he was 18 years old.

To find the amount that Jackson will earn when he is 40 years old, we will use compound interest formula.

A=P\cdot e^{rT}

A= Amount after T years.

P= Principal amount.

e= Mathematical constant e.

r= Interest rate (in decimal form).

T=  Time in years.

Let us convert our given interest rate into decimal form.

3.8\text{ percent}=\frac{3.8}{100}=0.038

Upon substituting our given values in above formula we will get,

A=5000\cdot e^{(0.038\times (40-18))}    

A=5000\cdot e^{(0.038\times 22)}

A=5000\cdot e^{0.836}

A=5000\cdot 2.307120015126555      

A=11535.600075632775\approx 11535.60

Therefore, Jackson will have $11535.60 in his account when he is 40 years old.

4 0
3 years ago
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