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finlep [7]
3 years ago
6

A solid piece of wood shaped as a cylinder with an 8 centimeter diameter is cut shown

Mathematics
2 answers:
e-lub [12.9K]3 years ago
5 0
What is the height shown
Kisachek [45]3 years ago
4 0

Answer:

Step-by-step explanation:

The height is 12cm

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The sum of two numbers is negative fifteen, and one number is five less than the other. Using the variables m and n to represent
Likurg_2 [28]

We need to use the variables m and n to represent both numbers.

Their sum must equal -15. Therefore, we can write the next equation:

m + n = -15

If one number is five less than the other, we need to choose one variable and then we can write it in terms of the other variable. Then:

n = m-5

To find the value for each number, we can replace the n equation on the first equation:

m + n = -15

m + (m-5)= -15

Then:

m + m - 5 = -15

2m -5 = -15

Solve the equation for m:

Add both sides 5 units:

2m - 5 +5 = -15+5

2m = -10

Divide both sides by 2:

2m/2 = -10/2

m = -5

Finally, replace the m value on the first equation:

m + n = -15

-5 + n = -15

Then, solve the equation for n:

Add both sides by 5:

-5+5 + n = -15 +5

n = -10

Hence, both numbers are m=-5 and n= -10.

The equations separated by a comma are m + n = -15,n = m-5.

The numbers separated by a comma are -5,-10.

6 0
1 year ago
Solve the system of equations.
algol [13]
8x + 5(-4x) = 24
8x - 20x = 24
-12x = 24
x = -2

y = -4(-2)
y = 8

Therefore, the point of intersection is (-2,8).
5 0
2 years ago
Read 2 more answers
Slove for y show all your work 12y + 4 = 8y-12​
Vedmedyk [2.9K]

Answer:

y = -4

Step-by-step explanation:

12y + 4 = 8y-12​

Subtract 8y from each side

12y - 8y +4 = -12

4y +4 = -12

Subtract 4 from each side

4y +4-4 = -12 -4

4y = -16

Divide by 4

4y/4 = -16/4

y = -4

8 0
3 years ago
Read 2 more answers
You invest $300 at 4% interest, compounded every year. What will your balance be after 5 years? (Remember, the formula is A = P(
Stells [14]

\bf ~~~~~~ \textit{Compound Interest Earned Amount} \\\\ A=P\left(1+\frac{r}{n}\right)^{nt} \quad \begin{cases} A=\textit{accumulated amount}\dotfill\\ P=\textit{original amount deposited}\to &\$300\\ r=rate\to 4\%\to \frac{4}{100}\to &0.04\\ n= \begin{array}{llll} \textit{times it compounds per year}\\ \textit{every year, once} \end{array}\to &1\\ t=years\to &5 \end{cases} \\\\\\ A=300\left(1+\frac{0.04}{1}\right)^{1\cdot 5}\implies A=300(1.04)^5\implies A\approx 364.996

3 0
2 years ago
Please help again, best answer = brainliest
tangare [24]
I think the answer would be B :)
4 0
3 years ago
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