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3 years ago

PLEASE HELP IOLL GIV EBRAINLIEST ANSWER!!

Mathematics

1 answer:

maks197457 [2]3 years ago

4 0

Answer:

8 1/3 meters

Step-by-step explanation:

set up a proportion of corresponding sides:

TE/AY = JT/DY

25/AY = 18/6

cross-multiply:

18AY = 150

AY = 150/18 which is 8 1/3

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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

4 years ago

The of the sum of three and a number is twice the number minus two please help

hjlf

Answer:

x=5

Step-by-step explanation:

Set up the equation using the words literally, making x the number. 3+x= 2x-2

Combine like terms and you get 5=x

I hope this helped! :)

5 0

3 years ago

Square ABCD is located on a coordinate plane. The coordinates for three of the vertices are listed below. ~A(2,7) ~C(8,1) ~D(2,1

Vladimir79 [104]

Answer:

B' (16, 14)

Step-by-step explanation:

Whenever we have a dilation with a scale factor b, we get the new point as:

Let original point be (x,y), then the dilation would make it (bx, by).

There is a diagonal that goes through AC and another through BD. The midpoint of both the diagonal is same. Midpoint formula is:

$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

Midpoint of AC:

$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\=(\frac{2+8}{2},\frac{7+1}{2})\\=(5,4)$

Now let vertex B have coordinates (x,y). Midpoint of BD:

$(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})\\=(\frac{x+2}{2},\frac{y+1}{2})$

Equate this to the midpoint of AC:

(x+2)/2=5

x+2 = 10

x = 8

and

(y+1)/2=4

y+1=8

y = 7

Thus, B(8,7)

recalling dilation of scale factor 2 rule we said at the beginning, B' would be twice of each coordinate. Hence B' = (16,14)

7 0

3 years ago

Give the value of the speed In this graph

WARRIOR [948]

I think the speed is 0 since the slope gives you the value for sped on a distance v time graph and in this case the slope is 0 which means the object is not moving.

7 0

3 years ago

Which statement is true about the equations –3x + 4y = 12 and x – y = 1?

Firlakuza [10]

-3x + 4y = 12
x - y = 1....x = y + 1

-3(y + 1) + 4y = 12
-3y - 3 + 4y = 12
-3y + 4y = 12 + 3
y = 15

x - y = 1
x - 15 = 1
x = 1 + 15
x = 16

one solution (16,15)

6 0

3 years ago