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Fynjy0 [20]
2 years ago
14

a triangle has a base that is 3 times longer than its height. it has a area of 486 sq cm. what is the base and height

Mathematics
1 answer:
saw5 [17]2 years ago
6 0
B = 3h . . . . . . . .given by the problem statement
A = (1/2)bh . . . . formula for the area of a triangle

486 cm² = (1/2)*(3h)*h . . . substitute given information
(2/3)*486 cm² = h² . . . . . .multiply by 2/3
√324 cm = h . . . . . . . . . . . . . .take the square root

The height is 18 cm.
The base is 3*18 = 54 cm.
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In a race in which six automobiles are entered and there are not ties, in how many ways can the first four finishers come in?
elixir [45]
 your answer would be 
6 ways for 1st place
5 ways for 2nd place
4 ways for 3rd place 
3 ways for fourth place
and in total there are 360 ways in total.
(6*5*4*3=360)
8 0
3 years ago
Is (-2, 6) a solution to this system of linear equations? (HINT: Substitute x
Serggg [28]

Answer:

1st Equation: -8x + y = 22

At (-2,6)

(-8*-2)+ 6 =16+6= 22: That is correct

2nd Equation: -8x - y =10

At (-2,6)

(-8*-2)-6= 16-6= 10: That is correct

Both are correct.

Hope it helps you.

5 0
3 years ago
The base of a right triangle is increasing at a rate of 2 meters per hour and the height is decreasing at a rate of 3 meters per
STatiana [176]

Answer:

dL/dt  = - 2,019 m/h

Step-by-step explanation:

L²  =  x²  +  y²   (1)    Where  x, and  y are the legs of the right triangle and L the hypotenuse

If the base of the triangle, let´s call x is increasing at the rate of 2 m/h

then  dx/dt =  2 m/h. And the height is decreasing at the rate of 3 m/h or dy/dt = - 3 m/h

If we take differentials on both sides of the equation (1)

2*L*dL/dt = 2*x*dx/dt  + 2*y*dy/dt

L*dL/dt  = x*dx/dt + y*dy/dt         (2)

When  the base is 9  and the height is 22 according to equation (1) the hypotenuse is:

L = √ (9)² + (22)²       ⇒    L = √565       ⇒  L  = 23,77

Therefore we got all the information to get dL/dt .

L*dL/dt  = x*dx/dt + y*dy/dt

23,77 * dL/dt  = 9*2 + 22* ( - 3)

dL/dt  =  ( 18 - 66 ) / 23,77

dL/dt  = - 2,019 m/h

6 0
3 years ago
12
Stels [109]

Answer:

x = 1 Whole 1/3

Step-by-step explanation:

10001010100110010101001010101010111000100101010

3 0
3 years ago
What is the perimeter of a square with one side measuring (6x+3)?
gulaghasi [49]

because it's a square, all of the sides are equal length so you can do

4(6x+3)

which equals 24x+12

6 0
3 years ago
Read 2 more answers
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