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V125BC [204]
2 years ago
7

The shorter leg of a right triangle is 18 meters. The hypotenuse is 6 meters longer than the longer leg. Find the length of the

longer leg.
Mathematics
1 answer:
mote1985 [20]2 years ago
6 0

Answer:

24 meters

Step-by-step explanation:

Use the pythagorean theorem

18² + x² = (x + 6)²

Expand

324 + x² = x² + 12x + 36

Subtract x² from both sides

324 = 12x + 36

Subtract 36 from both sides

288 = 12x

Divide both sides by 12

24 = x

24 meters

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5. C

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Step-by-step explanation:

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3 years ago
Raheem's entire workout consisted of 15 minutes of warm-up exercises, 30 minutes of lifting weights,and 45 minutes on the treadm
Sindrei [870]

Answer:

b

Step-by-step explanation:

Time taken for the total workout = 15 + 30 + 45 = 90 minutes

Time taken for lifting weight : total time = 30 : 90

                                                                 = 1 : 3

4 0
3 years ago
The area of a triangle is 30 square centimeters and its base is 10 cm. What is the height in cm of the triangle
Vesnalui [34]

Answer:

The height of the triangle is 6 cm.

Step-by-step explanation:

----------------------------------------

The formula for solving the area of a triangle is  A=\frac{1}{2}bh where b stands for base and h stands for height.

Let's substitute 30 cm^2 for the area and 10 for the base.

30=\frac{1}{2} (10)h

-------------------->>>>

Now, let's solve to find the height.

30=\frac{1}{2}(10)h

Multiply \frac{1}{2} times 10

30=5h

Divide both sides by 5.

6=h

-----------------------------------------

Hope this is helpful.

4 0
3 years ago
Tonya is twice Kevin's age. In three years, Tonya will be 17. And in another three years, Uncle Rob will be three times Tonya’s
kozerog [31]
Kevin is 7. Uncle rob is 60.
6 0
3 years ago
Find the surface area of this triangular prism
Karo-lina-s [1.5K]

Answer:

This may not be the numbers but just follow the way in how i did it hope it helps!!!

Step-by-step explanation:

SA= 2lw x 2lh x 2wh

Length - 5m

Width - 4m

Height - 6m

= 2 (5 x 4)+2 (5 x 6)+2 (4 x 6)

=2 ( 20)+2 (30)+2 (24)

= 40 + 60 + 48

=148

The dimensions of a second rectangular prism that will have the same surface area will be the below:

Length - 6m

Width -  5m

Height - 4m

SA = 2lw + 2lh + 2wh

= 2(6 x 5)+2 ( 6 x 4) +2 ( 5 x 4)

=2(30)+2 (24)+2 (20)

=60 + 48 + 40

= 148

7 0
3 years ago
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