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pantera1 [17]
4 years ago
14

HELP PLEASE BECAUSE KHAN ACADEMY SUCKS!

Mathematics
2 answers:
Anastaziya [24]4 years ago
7 0
I think it’s 10 cm
Don’t know if I’m right tho
Andru [333]4 years ago
4 0
volume Large Can
r = 8 cm
pi = 3.14
h = 20 cm
V = pi r^2 h
V = 3.14*8^2 * 20
V = 4019 cm^3

Volume left over.
He has 1/4 of a can of  paint left.
V1 = 1/4 * 4019
V1 = 1004.8

Calculate height.
V = 1004.8
pi = 3.14
r = 5 cm^2
h = ??

h = V/(pi r^2)
h = 1004.8 / (3.14 * 5^2)
h = 1004.8 / 78.5
h = 12.8 cm

There are other ways of doing this, but this is the clearest.
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A rain gutter is to be constructed of aluminum sheets 12 inches wide. After marking off a length of 4 inches from each edge, thi
AlexFokin [52]
Just plug in the 30° into that equation. 

<span>A(30°) = 16sin(30°)(cos(30°) + 1) </span>
<span>   = 16(1/2)(1 + √3/2) </span>
<span>   = Approx 14.9 in² </span>

<span>So A is the answer. </span>
7 0
3 years ago
Read 2 more answers
1) A traditional die is a cube with each of its six sides representing the numbers from 1 to 6. Mr. Dicey customized a die by re
liraira [26]

Answer:

1) \frac{2}{5}

2) 49.225

3) \frac{7}{2}

Step-by-step explanation:

1) To find the expected value of the dice we can use the following equation:

E(x)=x_{1}*P(x_{1})+x_{2}*P(x_{2})+...+x_{n}*P(x_{n})

So in our problem the values x will be: 1/1, 1/2, 1/3, 1/4, 1/5 and 1/6 and the probavility for all values is 1/6 so the expected values will be:E(x)=(\frac{1}{1} *\frac{1}{6}) +(\frac{1}{2} *\frac{1}{6}) +(\frac{1}{3} *\frac{1}{6})+(\frac{1}{4} *\frac{1}{6})+(\frac{1}{5} *\frac{1}{6})+(\frac{1}{6} *\frac{1}{6})

E(x)=0.167+0.083+0.056+0.042+0.033+0.028=0.409\approx \frac{2}{5}

2) To find the variance of the expected values we can use the equation:

Var(x)=\frac{\sum_{i=1}^{n}(x_{i}-\overline{x})^{2} }{n}

So for our problem will be:

Var(x)=\frac{(3-10.5)^2+(4-10.5)^2+(17-10.5)^2+(18-10.5)^2}{4}

Var(x)=\frac{56.25+42.25+42.25+56.25}{4}Var(x)=\frac{196.9}{4}=49.225

3) To find the expected value of the dice we can use the following equation:

E(x)=x_{1}*P(x_{1})+x_{2}*P(x_{2})+...+x_{n}*P(x_{n})

So in our problem the values x will be: 1, 2, 3, 4, 5 and 6 and the probavility for all values is 1/6 so the expected values will be:E(x)=(1*\frac{1}{6}) +(2 *\frac{1}{6}) +(3 *\frac{1}{6})+(4 *\frac{1}{6})+(5 *\frac{1}{6})+(6 *\frac{1}{6})

E(x)=0.17+0.33+0.5+0.67+0.83+1=3.5\approx \frac{7}{2}

7 0
3 years ago
Suppose that $1200 is invested at 612%, compounded quarterly. How much is in the account at the end of 5 years?
asambeis [7]

Answer:

\$1,656.50  

Step-by-step explanation:

we know that    

The compound interest formula is equal to  

A=P(1+\frac{r}{n})^{nt}  

where  

A is the Final Investment Value  

P is the Principal amount of money to be invested  

r is the rate of interest  in decimal

t is Number of Time Periods  

n is the number of times interest is compounded per year

in this problem we have  

t=5\ years\\ P=\$1,200\\ r=6\frac{1}{2}\%=6.5\%=6.5/100=0.065\\n=4  

substitute in the formula above

A=1,200(1+\frac{0.065}{4})^{4*5}  

A=1,200(1.01625)^{20}  

A=\$1,656.50  

5 0
3 years ago
Factor and find the roots of y= 4×^2+4×-15
likoan [24]
Factor
=(2x - 3)(2x + 5)

roots (zero)
2x - 3 = 0
2x = 3
x = 3/2 
x = 1.5

2x + 5 = 0
2x = -5
  x = -5/2
  x = -2.5
6 0
4 years ago
How do you solve y=2x+7; 3x-y=-9 using substitution method. Explain please!!
eduard
The y's value is given in the first equation. y=2x+7 . Now to solve, we will, plug it's value in the second equation.

3x-(2x+7)=-9\\ \\ 3x-2x-7=-9\\ \\ x=-9+7\\ x=-2\\

Now we have x's value, we will plug it's value in the first equation.(We can plug it in the second one too, but plugging it the first one will make it easier.)

x=-2\\ y=2x+7\\ y=2\cdot -2+7\\ y=-4+7\\ y=3




6 0
4 years ago
Read 2 more answers
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