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3 years ago

A rectangular field has a perimeter of 500m and an area of 14400m2. Find the lengths of the sides

1 answer:

6 0

If the rectangle was a square with four equal sides then they would each be 125-m. But 125 x 125 does not equal 14,400. What I did next was lay out the side lengths of what I knew the lengths would be if this rectangle was a square. I did this like this: 125 125 125 125. Next I would take away an equal amount from each outer numbers and added it to the inner numbers and would see if the new set would could get the are of 14,400-m2. Kind of like guess and check. I went through a couple options until I got to this: 90 160 160 90. I multiplied 90 by 160 and it equaled 14,400! Just the are needed! So the side lengths of the rectangle are 90-m, 90-m, 160-m, and 160-m. I hope you can understand what I did!

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Can you conclude from the figure that ABC is similar to DEF? Explain.

pishuonlain [190]

Answer:

Yes, we can conclude that Triangle ABC is similar to triangle DEF because the measures of the 3 angles of both triangles are congruent.

Step-by-step explanation:

We have the measure of 2 angles from both triangles, and we know that triangles have 180°, so we can solve for the measure of the third angle for both triangles.

Triangle ABC:

Measure of angle A= 60°

Measure of angle C= 40°

Measure of angle B = 180°- (measure of angle A + measure of angle C) = 180° - (60° + 40°) = 80°

Triangle DEF

Measure of angle E= 80°

Measure of angle F= 40°

Measure of angle D= 180° - (measure of angle E + measure of angle F) = 180° - (80° + 40°) = 60°

The measures of the angles in Triangle ABC are: 60°, 40°, and 80°.

The measures of the angles in Triangle DEF are: 60°, 40°, and 80°.

Since the measure of 3 angles of the two triangles are the same, we know that the two triangles are similar.

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3 years ago

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3 years ago

Expand (x – 4)^5 using the Binomial Theorem and Pascal’s triangle

worty [1.4K]

$5th \: row = 1 \: \: \: 5 \: \: \: 10 \: \: \: 10 \: \: \: 5 \: \: \: 1$

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2 years ago

Which class of trailer hitch is best suited for a boat and its equipment weighing less than 2,000 pounds?

alexira [117]

Class I

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3 years ago

What is the solution of 56= k-42

Aleksandr [31]

Answer:

k=98

Step-by-step explanation:

Let's solve your equation step-by-step.

56=k−42

Step 1: Flip the equation.

k−42=56

Step 2: Add 42 to both sides.

k−42+42=56+42

k=98

I Hope This Helps If Not Then Im Srry....

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3 years ago