Answer:
slope = - 2
Step-by-step explanation:
calculate the slope m using the slope formula
m =
with (x₁, y₁ ) = (- 1, 8 ) and (x₂, y₂ ) = (5, - 4 )
m = =
=
= - 2
Simplify (2m6)3. Please I need the answer fast!
2 answers:
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Answer:
474.5 ft ³
Step-by-step explanation:
<u>1) Find the volume of the cube</u>
where l is the side length
Plug in 9 ft as l
Therefore, the volume of the cube is 729 ft³.
<u>2) Find the volume of the cylinder</u>
where r is the radius of the base and h is the height of the cylinder
Plug in 3 ft as the radius and 9 as the height
Therefore, the volume of the cylinder is approximately 254.5 ft ³.
<u>3) Subtract the volume of the cylinder from the volume of the cube</u>
729 ft³ - 254.5 ft ³
= 474.5 ft ³
Therefore, the volume of the figure is 474.5 ft ³.
I hope this helps!
Answer:
26.25 cm²
Step-by-step explanation:
The area of the shaded part is the area of the shaded triangle subtract the area of the white triangle.
Since the triangles are similar then the ratios of corresponding sides are equal.
let the height of the white triangle be h, then
=
( cross- multiply )
12h = 90 ( divide both sides by 12 )
h = 7.5
shaded area = × 12 × 10 -
× 9 × 7.5 = 60 - 33.75 = 26.25 cm²
Answer:
40 shares each and $3,000 each
Step-by-step explanation:
The computation is shown below:
For the number of shares
Since there are total of 500 shares out of which 260 shares are held by Caren so the remaining shares left is
= 500 shares - 260 shares
= 240 shares
And, there are 6 investors
So the number of shares owned by each investor is
= 40 shares
Now the value of the shares held by each inventory is
= $3,000
Total debt is $65,000
So, the liability per share is
= $130
And each investor holds 40 shares
So, each investor is liable for
= $5,200
As we can see that the value of the shares is less than the amount liable by each investor
So each investor is liable for $3,000
And, the liability of Caren is
= $19,500