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yanalaym [24]
3 years ago
8

One leg of a 45° -45° - 90° triangle is 8 cm long. Determine the length of the hypotenuse.​

Mathematics
1 answer:
galben [10]3 years ago
5 0

Answer:

8\sqrt{2}

Step-by-step explanation:

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julia-pushkina [17]
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3 years ago
Andre is preparing for the school play and needs to paint the cardboard castle backdrop that measures  feet by 6 feet.
7nadin3 [17]

Answer:

a. 85.5 sq ft

b. 3 bottles

Step-by-step explanation:

a. The cardboard is rectangular in shape. How much he needs to paint is the same as the cardboard that he needs to paint.

The area of a rectangle is given as:

A = L * B

where L = length and B = breadth

Therefore, the area of the cardboard having dimensions 14 1/4 feet by 6 feet is:

A = 14 1/4 * 6

A = 57 / 4 * 6 = 85.5 sq feet

He needs to paint 85.5 sq feet of the cardboard.

b. On bottle of paint covers 40 sq feet. The number of bottles he will need for his backdrop will be the area he needs to paint divided by the amount of paint that can cover 40 sq feet:

85.5 / 40 =  2.14

Since the number of bottles he will need is a whole number and its greater than 2, then it must be 3.

To paint the entire cardboard, he must have 3 bottles of paint.

8 0
3 years ago
Y=x+2 and x+y=8 in substitution method​
raketka [301]

Answer:

y = x + 2 \\ x + y = 8 \\ x + x + 2 = 8 \\ 2x = 8 - 2 = 6 \\ 2x = 6 \\ x = 6 \div 2 = 3 \\ y = x + 2 = 3+ 2 = 5

5 0
3 years ago
Read 2 more answers
A circle has a diameter of 15 inches find the circumference and area of this circle
mars1129 [50]

Answer:

Circumference: 47.1 inches Area: 176.71 inches ²

Step-by-step explanation:

To find the circumference of a circle, you multiply the diameter(15) to pi (3.14).

To find the area of a circle, you find the radius of the circle, which is half of the diameter (7.5), square it, which equals 56.25, multiply that by pi (3.14) and there is your area. Make sure to write your answer to area in square inches.

5 0
3 years ago
A greeting card costs $4 before tax. A customer has a 15% discount. Then the 5% sales tax is added. How much will the customer p
mestny [16]
The customer will pay $3.57 for the greeting card

Explanation:
The card originally costs $4 before tax and is discounted by 15%
0.15 x 4 = 0.6
4 - 0.6 = 3.4

Then the 5% sales tax is added:
0.05 x 3.4 = 0.17
3.4 + 0.17 = 3.57


4 0
2 years ago
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