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3 years ago

What factors do you think are involved in determining the pitch of the roof? Explain your reasoning.

1 answer:

4 0

Use the Pythagorean Theorem to solve. This will be a right triangle:
=
Let the slope = the hypotenuse = c
Let one side = a=8
Let the other side =b =15
Plug-in the values and solve for the c-term
Check you answer by plugging the value of "c" back into the orignial equation and solve.
.
=
=
=
=
=
17=c
.
Check by plugging into the original equation and solve.
=
=
289=289 [checks out]

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6x+2(x+3)=10 solve for x also can you show how you get to the answer im so confused

Gnesinka [82]

Distribute 2 to x and 3
> 6x + 2x + 6 = 10
add 6x and 2x
> 8x + 6 = 10
subtract 6 to the right side
8x = 4
divide by 8
x = 1/2

6 0

3 years ago

Read 2 more answers

How do you use the order of operations to simplify expression with exponent

insens350 [35]

So the trick I was taught to use was PEMDAS which stands for Parenthesis, Exponents, Multiplication, Division, Addition, and Subtraction. You solve the parenthesis first, followed by exponents if there are any. Multiplication and division are equal. So if there's multiplication and division in the problem, you solve the one closest to the left or start of the equation first. The same rules apply for addition and subtraction. They are both equal so you solve the first one first, even if the subtraction is before the addition.

7 0

3 years ago

Read 2 more answers

Solve the equation using square roots. Write your answer in simplest form. Question in picture

GalinKa [24]

Answer:

The solutions to the quadratic equation involving square roots are:

$x=2\sqrt{7}i+8,\:x=-2\sqrt{7}i+8$

Step-by-step explanation:

Given the equation

$\frac{1}{4}\left(x-8\right)^2+8=1$

subtract 8 from both sides

$\frac{1}{4}\left(x-8\right)^2+8-8=1-8$

$\frac{1}{4}\left(x-8\right)^2=-7$

$\left(x-8\right)^2=-28$

$\mathrm{For\:}\left(g\left(x\right)\right)^2=f\left(a\right)\mathrm{\:the\:solutions\:are\:}g\left(x\right)=\sqrt{f\left(a\right)},\:\:-\sqrt{f\left(a\right)}$

solving

$x-8=\sqrt{-28}$

$x-8=\sqrt{-1}\sqrt{28}$

$x-8=\sqrt{28}i$ ∵ $\sqrt{-1}=i$

$x=2\sqrt{7}i+8$

similarly solving

$x-8=-\sqrt{-28}$

$x-8=-2\sqrt{7}i$

$x=-2\sqrt{7}i+8$

Therefore, the solutions to the quadratic equation involving square roots are:

$x=2\sqrt{7}i+8,\:x=-2\sqrt{7}i+8$

5 0

3 years ago

Your cousin Vinny wants to borrow $23750. He’s willing to pay you back over 8 years with simple interest. Your alternative is to

kolbaska11 [484]

Answer:

A)You will earn $20311.62 as interest if you deposit $23750 into an investment account for 8 years.

B) The annual interest rate to you charge Vinny in order to make the same amount of interest on his loan as your investment account is 10.69%

Step-by-step explanation:

We are given that Your cousin Vinny wants to borrow $23750. He’s willing to pay you back over 8 years with simple interest.

Your alternative is to invest in the $23750 into an account paying 7.75% compounded monthly.

a)How much interest would you earn in your investment if you deposit $23750 into an investment account for 8 years?

Principal = 23750

Rate of interest = 7.75%

No. of compounds per year = 12

Time = 8 years

Formula : $A=P(1+\frac{r}{n})^{nt}$

Where A is the amount

P is the principal

r = rate of interest

n = No. of compounds

t = time

Substitute the value sin the formula :

$A=23750(1+\frac{7.75}{1200})^{12 \times 8}$

A=44061.6163406

Interest = Amount - Principal

Interest = 44061.6163406-23750

Interest =20311.62

You will earn $20311.62 as interest if you deposit $23750 into an investment account for 8 years.

B)What annual interest rate to you charge Vinny in order to make the same amount of interest on his loan as your investment account

Principal = 23750

Simple interest = $\frac{P \times T \times R}{100}$

$20311.62=\frac{23750 \times 8 \times R}{100}\\\frac{20311.62 \times 100}{23750 \times 8}=R\\10.69\%=R$

Hence The annual interest rate to you charge Vinny in order to make the same amount of interest on his loan as your investment account is 10.69%

4 0

4 years ago

Factor completely 56a2b3 − 35ab.

VMariaS [17]

I would start off by taking away 1a. That would make the problem be 56ab3-35b.I only took away 1 because each have at least 1a and is okay to do.

Next I would deal with the variable b. I would cross of 1 b. That's because both sides have at least 1b. Now, it's shortened to be 56ab2-35.

Since you cannot take away anymore variables, you have to deal with 56 and 35. I start small with dividing each by 2. I am trying to see what the greatest number could be while making the numbers still be whole. That turns 56 into 28 when it's cut in half. The 35 now turns into 17.5.

I would assume your teacher would want the numbers to be whole. seeing as though when 35 is cut in half and makes a decimal number, I would leave them. What I mean by that is to leave the numbers as 56 and 35.

So, that means the answer is 56ab2-35.

I hope this helps!! (And makes sense)

5 0

3 years ago