The topsoil will be 4.05 inches deep
<h3>Calculating depth</h3>
From the question, we are to determine how many inches deep the topsoil will be
From the given information,
The volume of the topsoil = 1 cubic yard
Convert to cubic feet
1 cubic yard = 27 cubic feet
∴ The volume of the topsoil = 27 cubic feet
Then,
The depth of the topsoil will be = 27/(8 ×10)
Depth of topsoil = 27/80
Depth of topsoil = 0.3375 foot
Now, convert to inches
1 foot = 12 inches
∴ 0.3375 foot = 0.3375×12 inches
= 4.05 inches
Hence, the topsoil will be 4.05 inches deep
Learn more on Calculating depth here: brainly.com/question/15489457
#SPJ1
Answer:
Step-by-step explanation:
A parallelogram also has the following properties:
Opposite angles are congruent;
Opposite sides are congruent;
Adjacent angles are supplementary;
The diagonals bisect each other.
Answer:
10.4%
Step-by-step explanation:
Sung Lee invests $3,000 at age 18.
He hopes the investment will be worth $6,000 when he turns 25, that is, after 7 years.
The interest compounds (Compound Interest). The formula for the final amount in a compound interest is:
where P = Principal (Amount invested) = $3000
A = final amount = $6000
R = rate
T = number of years = 7 years
This implies that:
Find the 7th root of 2:
=> R = 10.4%
Hence, the rate would need to be 10.4% for him to achieve his goal.
For quadratic
.. ax^2 +bx +c = 0
the discriminant is
.. d = b^2 -4ac
You have
.. a = 2
.. b = -5
.. c = 7
so the value of the discriminant for your equation is
.. (-5)^2 -4(2)(7)
.. = 25 -56
.. = -31
Because the discriminant is negative, the roots of the quadratic are complex.
Reasoning: this is the usual interpretation of the sign of the discriminant. It derives from the fact that the square root of the discriminant is part of the roots of the quadratic. That part will be imaginary when the discriminant is negative.
_____
The graph shows there are no real roots.
Answer:
D. 100°
Step-by-step explanation:
A straight line is 180°. Add 50° and 30° (which is 80°) and subtract the total from 180°.
50 + 30 = 80
180 - 80 = 100