Answer:
Option (2)
Step-by-step explanation:
Given expression is, AX + B = C
AX + B = C
AX = C - B
C - B = =
C - B =
Let
AX =
=
Since AX = C - B
Therefore, a = 1, b = 5
(-3a - 4c) = -35
3(1) + 4c = 35
3 + 4c = 35
4c = 32
c = 8
And (-3b - 4d) = -11
3(5) + 4d = 11
4d = -4
d = -1
Therefore, Option (2). X = will be the answer.
Answer:
6.78ft/sec
Step-by-step explanation:
From the question, dx/dt= 3.9 ft/sec
We are looking for Dy/dt
From geometry,vof this case the relationship between x and y is needed here, there is two similar triangle that exhibited by the man and the lamb
12/y= 5.1/(y-x)
Then ,cross multiply, we have
12(y-x)=5.1y
12y-12x=5.1y
12y-5.1y=12x
6.9y=12x
y=( 12/6.9)x
Differentiating implicitly the bother sides with respect to t, we have
Dy/dt= ( 12/6.9)dx/dt
But dx/dt= 3.9 ft/sec
Then Dy/dt= ( 12/6.9)× 3.9
Dy/dt=6.78ft/sec
Hence, the rate that the tip of the person's shadow moves away from the lamppost when the person is 9 ft away from the lampost is 6.78ft/sec
CHECK THE ATTACHMENT FOR THE FIQURE
18.66 quarts of paint is needed to paint the swimming pool with two coats of paint
<em><u>Solution:</u></em>
Given that,
<em><u>A swimming pool is in the shape of a rectangular prism</u></em>
Length = 20 feet
Width = 10 feet
Height = 5 feet
<em><u>Find the surface area of prism</u></em>
Where, "l" is the length and "w" is the width and "h" is the height
Thus surface area area of prism is 700 square feet
Given that,
One quart of water-resistant paint covers 75 square feet
Therefore,
1 quart paint = 75 square feet
x quart = 700 square feet
This forms a proportion
Thus 9.33 quarts of paint is needed to cover 700 square feet
How many quarts should you buy to paint the swimming pool with two coats of paint
For two coats of paint we need = 9.33 + 9.33 = 18.66 quarts of paint