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Volgvan
3 years ago
13

The Darnells are having a swimming pool installed. The pool has a radius of 14 feet and a height of 4 feet. What is the volume o

f the pool?
Mathematics
1 answer:
ella [17]3 years ago
8 0
So a circular pool will be in the shape of a cylinder. and the formula for finding the area of a cylinder is 2 \pi r^{2} +2 \pi rh . r=radius, h=height. If we put the numbers into the equation it is 2 \pi 14^{2} +2 \pi 14(4). .14 squared is 196 and 4*14= 56. So our equation is now 2 \pi (196)+2 \pi (56). 2*pi=6.28318530718 but let's round that to 6.283. So now our equation is much simpler 6.283(196)+6.283(56). Just multiply them. 1231.504+351.858= <span>1583.362</span> is your final answer. 
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Which angles are vertical angles in the figure shown? Select two answers.
sukhopar [10]

Answer:

B and C

Step-by-step explanation:

Vertical angles are formed when you make lines make an  x shape (or a turned x shape).  The vertical angles are, on a normally positioned x the top and bottom angle, as well as the left and right angle.  so every x has 2 vertcial angles unless the x is further split up.

So the part with angles 1. 2. 3 and 4 the top angle is 2, the bottom is 3, the left angle is 1 and the right angle is 4.  This means the vertical angle pairs are 1 and 4 as well as 2 and 3.

So in total there are 2 x shapes, so 4 pairs of vertical angles.  Here are all the vertical angles.

1 and 4

2 and 3

5 and 8

6 and 7

So from your choices you have 2 and 3 as choice B and 5 and 8 as choice C.

8 0
3 years ago
2x + 3x + 8 - 3x - 2
kozerog [31]
5x+14
You will collect the like terms
4 0
3 years ago
Suppose the life span of a calculator has a normal distribution with a mean of 60 months and a standard deviation of 8 months. W
rusak2 [61]

Answer:

Probability that the calculator works properly for 74 months or more is 0.04 or 4%.

Step-by-step explanation:

We are given that the life span of a calculator has a normal distribution with a mean of 60 months and a standard deviation of 8 months.

Firstly, Let X = life span of a calculator

The z score probability distribution for is given by;

         Z = \frac{ X - \mu}{\sigma} ~ N(0,1)

where, \mu = population mean = 60 months

            \sigma = standard deviation = 8 months

Probability that the calculator works properly for 74 months or more is given by = P(X \geq 74 months)

     P(X \geq 74) = P( \frac{ X - \mu}{\sigma} \geq \frac{74-60}{8} ) = P(Z \geq 1.75) = 1 - P(Z < 1.75)

                                                   = 1 - 0.95994 = 0.04

Therefore, probability that the calculator works properly for 74 months or more is 0.04 or 4%.

7 0
3 years ago
12) 5.8+ 7 what is the answer am not sure​
VikaD [51]

Answer:

12,8

Step-by-step explanation:

Just line them up and you will arrive at your answer:

5,8

+ 7

_____

12,8

I am joyous to assist you anytime.

5 0
3 years ago
Read 2 more answers
4&gt; Solve by using Laplace transform: y'+5y'+4y=0; y(0)=3 y'(o)=o
harina [27]

Answer:

y=3e^{-4t}

Step-by-step explanation:

y''+5y'+4y=0

Applying the Laplace transform:

\mathcal{L}[y'']+5\mathcal{L}[y']+4\mathcal{L}[y']=0

With the formulas:

\mathcal{L}[y'']=s^2\mathcal{L}[y]-y(0)s-y'(0)

\mathcal{L}[y']=s\mathcal{L}[y]-y(0)

\mathcal{L}[x]=L

s^2L-3s+5sL-3+4L=0

Solving for L

L(s^2+5s+4)=3s+3

L=\frac{3s+3}{s^2+5s+4}

L=\frac{3(s+1)}{(s+1)(s+4)}

L=\frac3{s+4}

Apply the inverse Laplace transform with this formula:

\mathcal{L}^{-1}[\frac1{s-a}]=e^{at}

y=3\mathcal{L}^{-1}[\frac1{s+4}]=3e^{-4t}

7 0
3 years ago
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