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OLga [1]
3 years ago
10

A cone has a base area of 8 cm^2 and a height of 3.8 cm. What is the volume of the cone?

Mathematics
1 answer:
Nitella [24]3 years ago
3 0
The answer is:  30.4 cm³ .
________________________________________________________

The volume = Base Area * height = (8 cm²) * (3.8 cm) = 30.4 cm³ .
________________________________________________________



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Given the system
Irina-Kira [14]

we have

y > -2 x + y < 4

using a graph tool

see the attached figure

The shaded area is the solution of the system

<u>Part 1) </u>Name an ordered pair that is a solution to this system and explain how you know that this is a solution point

Let

A ( -40,20)

The point A is solution of the system because the point lie on the shaded area

<u>Check</u>

If the point A is solution of the system must satisfy both system inequalities

point A

x=-40

y=20

substitute

y > -2-------> 20 > -2-------> is ok

x + y < 4----> -40+20 < 4-----> -20 < 4-----> is ok

therefore

<u>the answer Part 1) is</u>

The point A is a solution of the system

Part 2) Name an ordered pair that is not a solution to the system and explain how you know that it is not a solution

Let

B(20,20)

The point B is not solution of the system because the point not lie on the shaded area

<u>Check</u>

If the point B is not solution of the system must not satisfy both system inequalities

point B

x=20

y=20

substitute

y > -2 -------> 20 > -2-------> is ok

x + y < 4---->20+20 < 4-----> 40 < 4------> is not ok

therefore

<u>the answer part 2) is</u>

The point B is not a solution to the system

6 0
3 years ago
What is the equation of the line shown in the graph? (-3,1) (2,-4)
ki77a [65]

Answer:

x + y = -2

Step-by-step explanation:

The two primary equations to remember when dealing with graphing 2-variable equations are: ax + by = c (a & b are the x & y coefficients, respectively), and the other is y = mx + c (m = slope, x & y represent themselves). There is another equation to find the slope. If not already known, it's: ∆y/∆x {∆(aka Delta) = difference}. So, since that's all been established, we can proceed to calculate your question:

1) Find your slope: 1 - (-4) = 5 for your y-variable. And -3 - 2 = -5 for your x-variable. So your slope = 5/-5 = -1

2) Use the y = mx + c equation together with either set of (x,y) coordinates to get the equation 1 = (-1)(-3) + c. Which gives you c = -2

3) So, going back to the main equation to remember, the ax + by = c, use a one of your given sets of x,y coordinates and input your known values for x, y, & c to get: a(-3) + b(1) = (-2) and do the same with other set (these are just double-checks, coefficients are all equal to 1 anyways). So, you should arrive to the equation: x + y = -2

4 0
3 years ago
At the hospital , nurse work 8 hour shifts . To have nurses work 8 hour shifts . To have nurses on duty 24 hours per day . How m
andrezito [222]
Answer: 21 shifts

Explanation:

If you want to have nurses on duty 24 hours a day 8 hours at a time, first divide 24 by 8. You get 3, which is the amount of shifts per day. Then multiply 3 by the amount of days in a week, 7, and get 21 shifts per week. Hope this helps!
6 0
3 years ago
7.6.2.5<br> What is the measure of ZQPR? Explain how<br> you know.<br> R<br> 1180<br> Q<br> P
crimeas [40]

What do you mean? I think you need to add a graph with the angles for people to be able to answer that question (you can take a screenshot and then use the paperclip button when you are re-writing the question). Hope this helped.

3 0
2 years ago
You manage a risky portfolio with an expected rate of return of 18% and a standard deviation of 28%. The T-bill rate is 8%. Your
Fofino [41]

Answer:

y = 0.80

Step-by-step explanation:

Given:

- The expected rate of return for risky portfolio E(r_p) = 0.18

- The T-bill rate is r_f = 0.08

Find:

Investing proportion y of the total investment budget so that the overall portfolio will have an expected rate of return of 16%.

What is the proportion y?

Solution:

- The proportion y is a fraction of expected risky portfolio and the left-over for the T-bill compliance. Usually we see a major proportion is for risky portfolio as follows:

                                     E(r_c) = y*E(r_p) + (1 - y)*r_f

                                     y*E(r_p) + (1 - y)*r_f = 0.16

- Re-arrange for proportion y:

                                     y = ( 0.16 - r_f ) / (E(r_p) - r_f)

- Plug in values:

                                    y = ( 0.16 - 0.08 ) / (0.18 - 0.08)

                                    y = 0.80

- Hence, we see that 80% of the total investment budget becomes a part of risky portfolio returns.                                    

               

4 0
3 years ago
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