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Paraphin [41]
3 years ago
10

If two opposite sides of a square are increased by 8 meters and the other sides are decreased by 5 meters, the area of the recta

ngle that is formed is 68 square meters. Find the area of the original square.
Mathematics
1 answer:
Alchen [17]3 years ago
5 0

Answer:

21

Step-by-step explanation:

8 * 2 = 16

5 * 2 = 10

68 - 16 = 52 - 10 = 42.

The perimeter of the square is 42.

42 / 4 = 10.5. 10.5 is the length of a side.

10.5 * 2 = 21.

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Find the area of the shaded region.
kondor19780726 [428]

The region is made up of

• a right triangle with short leg 10 m and hypotenuse 26 m

• a parallelogram with sides 40 m and 26 m (the 26-m side corresponds to the aforementioned hypotenuse)

• another triangle with two known legs of length 20 m and 26 m

Find the height of the right triangle using the Pythagorean theorem. If the height is h, then

(10 m)² + h² = (26 m)²   ⇒   h² = 576 m²   ⇒   h = 24 m

This height is common to all three shapes.

Now find the area of each shape.

• right triangle:

1/2 × (10 m) × (24 m) = 120 m²

• parallelogram:

(40 m) × (24 m) = 960 m²

• other triangle:

• 1/2 × (20 m) × (24 m) = 240 m²

Then the total area of the shaded region is 1320 m².

7 0
2 years ago
A 25,000-gallon swimming pool needs to be completely drained for maintenance purposes.
egoroff_w [7]

Answer:

A: 1800h-25,000

B: Yes, he would have time.

Step-by-step explanation:

A:

Lets turn 30 gallons/minute into hours so we can make it easier.

18000h-25000

Then plug in h which is hours. To get your answer

B:

From May 7 at 8:00 a.m. to May 8 at 12 p.m. would be 28 hours.

So we plug in 28 for h and get our answer of 25400 gallons/hour

8 0
3 years ago
The setup fee for a photo book is $35. The papwe is an additional charge of $0.80 per page. What is the greatest number of pages
N76 [4]

Answer:

18 pages

Step-by-step explanation:

18 pages would cost $14.40 and the you add $35 for the setup fee. This makes the total $49.4 and no more pages can be added because it would cost too much.

8 0
3 years ago
The curve y = ax^2 + bx + c passes through the point (2, 32) and is tangent to the line y = 4x at the origin. Find the values of
Arada [10]
We are given the general formula of the curve of y = ax2 + bx + c. The tangen line at the origin is y = 4x. This eliminates the second term in which the derivative should be reflected as a constant. Since when the derivative of the first term is 4x, then a should be 2. From the points, c should be equal to 24.
8 0
3 years ago
Can I plz get some help on this I haven't had time to do this and im confused on this
kolezko [41]

Answer:

What are you confused about?

Step-by-step explanation:

5 0
3 years ago
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