Answer:
V = 115.5 cubic yards
Step-by-step explanation:
V (cone) = 1/3πr²h
just substitute given values to get:
r = 7/2 or 3.5
h = 9
V = π(3.5²)(9)/3
V = 115.5 cubic yards
Answer:
d. he did not make an error
tell me if its right :-)
Step-by-step explanation:
Answer:
101.5yd by 101.5yd size of wood
Step-by-step explanation:
Divide the ramp into its constituent shapes:
2 triangles( 3yd by 4.5yd by 5yd)
1st rectangle (the back) 3yd by 11yd
2nd rectangle (the front) 11yd by 5yd
- Find the area of the shapes
Area of triangles = 2 * (1/2*b*h) = 2 * (0.5 * 4.5 * 3) = 2 * 6.75 yd² = 13.5yd²
Area of back rectangle= 3 * 11 = 33yd²
Area of front rectangle = 11 * 5 = 55yd²
- Find the sum of the areas
13.5yd² + 33yd² + 55yd² = 101.5yd²
see the attached figure with letters
we have that
cos(alfa) triangle ABD=12/y
and
cos(alfa) triangle ABC=y/28
then
12/y=y/28----------> y²=12*28=336----------> y=√336=4√21
y=4√21
<span>applying the Pythagorean theorem triangle ABC
</span>(16+12)²=x²+y²----------? x²=28²-(4√21)²--------> x²=784-336
x=√448=8√7
the answer is x=8√7y=4√21
Answer:
Linda needs to raise a minimum of $9,000 to completely pay for her tuition fee for the first year, that is, $250 per month
Step-by-step explanation:
Tuition fee = $14,000 per year
Linda received a $5000 gift that she will use for her first year of college tuition during her 15th birthday
Amount remaining = Tuition fee - gift money received
= $14,000 - $5,000
= $9,000
Linda needs to raise $9,000 in the next three years to contribute to her first year of college tuition
The minimum amount Linda needs to save each month in the next three years to raise $9,000
= Remaining tuition / 3 years
= $9,000 / 3 * 12 months
= $9,000 / 36 months
= $250 per month
