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2 years ago

The two sides of a right triangle differ by one. If the hypotenuse is 29 cm, then determine the

Mathematics

1 answer:

erma4kov [3.2K]2 years ago

3 0

Answer:

Let the sides be a and b

a^2 + b^2 = c^2 = 29^2 = 841

a^2 + (a + 1)^2 = 841

a^2 + a^2 + 2 a + 1 = 841

2 a^2 + 2 a = 840

a (a + 1) = 420

21 * 20 = 420 trial and error

So the sides are 20 and 21

20^2 + 21^2 = 29^2

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How to find three consecutive odd numbers whose product is 2145?

balu736 [363]

Hello :
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2145 = 11×13×15
the three consecutive odd numbers whose product is 2145 are : 11 , 13 ,15

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3 years ago

Find the slope of a line parallel to the line through the given points. P(-2, 4), Q(6, -2) 4/3 3/4 -3/4

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Answer:

slope = - $\frac{3}{4}$

Step-by-step explanation:

Parallel lines have equal slopes thus the slope of a parallel line will be equal to the slope of PQ

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m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

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3 years ago

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Plot -1, 8, and -11 on the number line. 5 10 -10 -5 0 X

svetlana [45]

-1 is the first line after 0

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3 years ago

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find the value of solid figure not including hole cutout. Round to two decimal places. Cube figure is 12 feet long with 4 ft cut

Artemon [7]

Answer:

1577.20 ft³

Step-by-step explanation:

Cube of length = 12 ft = a

Hole diameter which is cutout = 4 ft = d

Hole radius which is cutout = 4/2 =2 ft = r

Volume of the cube = a³

⇒Volume of the cube = a×a×a

⇒Volume of the cube = 12×12×12

⇒Volume of the cube = 1728 ft³

The hole cut out will be in the shape of a cylinder

Volume of cylinder = πr²h

⇒Volume of cylinder = π×2²×12

⇒Volume of cylinder = 150.79 ft³

Now volume of the solid figure with hole cut out is

Volume of the cube - Volume of cylinder

=1728 - 150.79

=1577.20 ft³

∴ Volume of solid figure not including hole cutout is 1577.20 ft³

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3 years ago

(6n – 7) + (8n + 2) = 23

Dovator [93]

Answer:100

Step-by-step explanation:

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2 years ago

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