Answer:
1. 3rd degree
2. No degree
3. First degree
4. 8th degree
Step-by-step explanation:
Hope this helps!
Remark
The equation is job1/ time + job2/time = job3/time
Discussion
job one is the time it takes one of the workers to complete the job.
job two is the time it takes the other workers to complete the job
job three is the time it takes to do the job together.
Givens.
Let Marcus's time = m
Let Tony's time be =t
Let their together time = t1
Equation Substitution and solution.
1/m + 1/t = 1/t1
1/6 + 1/4 = 1/t1 The common denominator on the left is 12.
2/12 + 3/12 = 1 / t1
5/12 = 1/t1 Cross multiply.
5*t1 = 12 Divide by 5
t1 = 12/5
t1 = 2 2/5
t1 = 2.4 hours
Cost
1 hour = 43 dollars for labor.
2.4 hours = x dollars for labor.
1*x = 43 * 2.4
x = 103.2 dollars. <<<<< Answer
The union of a collection of sets is the set of all elements in the collection.
We have B = {a, l, g, e, b, r} and C = {m, y, t, h}
<h3>B ∪ C = {a, l, g, e, b, r, m, y, t, h}</h3>
Answer:
16.2 m
Step-by-step explanation:
First, we can draw a picture. The cable goes from the top of the pole to the ground (with the pole on the right in my drawing), and the point on the ground is 10 m away from the base of the pole. This forms a right triangle, with the right angle being between the 10 m distance and the pole itself. We can then apply the Pythagorean Theorem, so
a²+b²=c², with c being the side opposite the right angle (the cable), getting us
10²+(length of pole)² = 19²
19²-10²=(length of pole)²
= 261
square root both sides to isolate the length of the pole
length of pole ≈ 16.2 m
Answer:
V=706.85
Step-by-step explanation:
Well, first of when you want to find the volume of the cone you need to have a radius and hieght. And the radius is half the diameter, so divide the diameter into half: 10/2=5 in. and you already have the height so just plug in the numbers.
Formula: V= 

h ---> V= 
(
)(27)
And put the plugged in formula in your calculator and you'll find the answer!
V=706.85
I hope this helped.