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Lunna [17]
2 years ago
9

Look at this square: 8 m 8 m If the side lengths are halved, then which of the following statements about its area will be true?

The new area will be 1 of the old area. 4 The new area will be 1 of the old area. 2 The new area will be 1 of the old area. end The new area will be 16 times the old area.​
Mathematics
1 answer:
vazorg [7]2 years ago
7 0

Answer:The solution is in the attached filefile.Ifilefile.If you still don't understand,I'm ready to explain more

Step-by-step explanation:

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The question is below
Ad libitum [116K]

Answer:

£59.25

Step-by-step explanation:

Hello!

To solve this problem, we must:

  1. Solve for the length of the fence (aka height)
  2. Find the area of the lawn (trapezoid)
  3. Find the number of cans needed
  4. Find the price of all the cans

Area of a trapezoid, and why the formula works:

A trapezoid is a quadrilateral with one set of parallel sides known as bases. The other two sides are known as the legs.

To find the area of a trapezoid, we use the formula:

\frac{B_1 + B_2}{2}* h

This works because if we used the formula, we would be duplicating the trapezoid to form a rectangle with a side length of B1 + B2, and a height of h. Since the trapezoid is half of that, we divide by 2.

Solve for height:

The height is unknown but can be found using the Pythagorean Theorem.

The difference between the bases is the length of the bottom leg of the right triangle, and 17 is the hypotenuse.

Difference = 20 - 12 = 8

Hypotenuse = 17

  • 8² + fence² = 17²
  • 64 + fence² = 289
  • 225 = fence²
  • fence = 15

The height is 15

Solve for area:

Now we can solve for the area.

  • A = \frac{B_1 + B_2}{2} * h
  • A = \frac{12 + 20}{2} * 15
  • A = \frac{32}{2} * 15
  • A = 16 * 15 = 240

The area is 240

Cans:

The area of the lawn is 240 square meters. Each can cover 100 square meters.

  • 240 ÷ 100 = 2.4

Since we can't use part of a can, we round up to three whole cans.

The price of 3 cans :

  • 3 * 19.75
  • 59.25

£59.25

The Pythagorean Theorem:

The Pythagorean theorem is a very common geometry formula used to find the length of the hypotenuse in a right triangle, given the lengths of the two other bases.

The formula is : a^2 + b^2 = c^2

  • a is a leg
  • b is a leg
  • c is the hypotenuse

Images attached for your reference

7 0
2 years ago
Which expression is equivalent to 6x+8 PLZZZZZZZZZZZZ HEWLPPP!
Leto [7]
<h3>✽ - - - - - - - - - - - - - - - ~Hello There!~ - - - - - - - - - - - - - - - ✽</h3>

➷ Expand them all to see if you get the expression:

2(3x - 4) ==> 6x - 8

2(3x + 4) ==> 6x + 8

2(4x + 6) ==> 8x + 12

2(3x + 8) ==> 6x + 16

As you can see, the correct option is B. 2(3x + 4)

<h3><u>✽</u></h3>

➶ Hope This Helps You!

➶ Good Luck (:

➶ Have A Great Day ^-^

↬ <u>ʜᴀɴɴᴀʜ</u> ♡

4 0
2 years ago
Read 2 more answers
13 NEED HELP ASAP WILL GIVE BRAINLY
attashe74 [19]

Answer:

A. Similar; congruent angles

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Find the radian measure of an angle of 110 degrees
aivan3 [116]

Answer:

0.611 rad

Step-by-step explanation:

For the radian measure:

180° = π radians

180° : 110° = 11 / 18 ≈ 0.611

110° =  11π/18 rad ≈ 0.611 rad

6 0
3 years ago
How does this app work?
Sergio [31]
On this app, you can answer other people’s questions and even ask your own. You need points to ask your own though. To get points, you need to answer more questions. Each question varies on points depending on what the person has set the amount of points to be given to the person who answers. Hope this helps!!
7 0
3 years ago
Read 2 more answers
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