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nikitadnepr [17]
2 years ago
9

3. The diagonal of a rectangular field is 169 m. Ifthe ratio of the length to the width is 12:5, find the: (a) (b) dimensions; p

erimeter of the field.​
Mathematics
1 answer:
Kazeer [188]2 years ago
8 0

The dimensions of the rectangle are length 156 m and a width of 65m, and a perimeter P = 442m

<h3>How to find the dimensions of the rectangle?</h3>

For a rectangle of length L and width W, the diagonal is:

D = \sqrt{L^2 + W^2}

Here we know that the diagonal is 169m.

And the ratio of the length to the width is 12:5

This means that:

W = (5/12)*L

Replacing all that in the diagonal equation:

169 = \sqrt{((5/12)^2*L^2 + L^2} \\\\169^2 = (25/144)*L^2 + L^2 = ( 25/144 + 1)*L^2\\\\\frac{169}{\sqrt{25/144 + 1} } = L = 156

So the length is 156 meters, and the width is:

W = (5/12)*156 m = 65m

Finally, the perimeter is:

P = 2*(L + W) = 2*(156 m + 65m) = 442m

If you want to learn more about rectangles:

brainly.com/question/17297081

#SPJ1

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An item on sale costs 25% of the original price. The original price was $55.
Firdavs [7]

Answer:

$68.75 cents

Step-by-step explanation:

Given the following question:

25% of 55

In order to find the answer, we must first use the formula to calculate percentages to calculate 25% of 55, then we use that answer to add on the initial amount.

\frac{p\times n}{100}
\frac{25\times 55}{100} =25\times55=1375\div100=13.75
=13.75

<u>Now add:</u>
55+13.75=68.75
=68.75

After a 25% increase on an item that costs 55 dollars, the new sale price will cost "$68.75 cents."

Hope this helps.

7 0
2 years ago
50% of cakes where party cakes 1/5 where fruit the rest where sponge. what percentage where sponge.
Delvig [45]
1/5= 20%
50%+20% =70% total amount of party cakes and fruit cakes
subtraction 70% from 100% leaves 30% for the sponge cakes
answer is 30%

hope this helps

7 0
3 years ago
Read 2 more answers
Based on this triangle, which one of the following statements is true? (Note: the triangle is not drawn to scale)
Sveta_85 [38]

Answer:

A

Step-by-step explanation:

All triangles angles add up to 180°

3 0
3 years ago
15 of the 25 students Brought their own lunch. What percent of the students brought their own lunch?
bagirrra123 [75]

Answer:

60%

Step-by-step explanation:

1: 15 divided by 25 to get 0.6

2: multiple 0.6 by 100 to get 60%

5 0
3 years ago
Evaluate the expression for the given value of the variable. d=75 2d+−45d−−−−−√3=
Ahat [919]

Answer:

The expression for the given value of the variable d=75 is, 135

Step-by-step explanation:

Given the expression:

2d+\sqrt[3]{-45d}               ....[1]

We have to find the value for the given expression when d = 75

Substitute the value of d in [1] we have

2(75)+\sqrt[3]{-45(75)}

⇒ 150+\sqrt[3]{-3375}

⇒150-15

Simplify:

⇒135

Therefore, the expression for the given value of the variable d=75 is, 135

3 0
3 years ago
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