Answer:
$51.12
Step-by-step explanation:
Hello there!
In number 19, we want to find the total price of a sweatshirt that costs $48 dollars but has 6.5% sales tax
Sales tax is a small percentage of the cost of an item that is added to items when they are being sold.
In this problem, 6.5% of the cost of the sweatshirt will be added to the cost of the sweatshirt in the form of sales tax. The price of the sweatshirt plus the amount in sales tax will be the total cost of the sweatshirt.
Translating that as an equation,
48 + 48*6.5%=total cost
You can calculate 48*6.5% as 
, which is equal to 3.12
So that means that $3.12 will be added to the cost of the sweatshirt.
Therefore,
48 + 3.12=<u>$51.12</u>, which will be the total cost of the sweatshirt, including sales tax
Hope this helps!
Well, if you use the net diagram, the one below the pyramid, this is how to do it:
First, find the area of the square, or the base. That would be 10 * 10 = 100ft.
Then, you find the areas of all of the triangles, which is this formula: A= BH / 2.
So you would do 10 * 12 / 2 for each triangle, or you can just make them squares, since there are four triangles, and it would turn into 10 * 12 * 2 for all of them. That was just an easier way to figure it out, but you could have done each triangle and then added them all up.
Finally, add what you get for the triangles, 240ft, with the area of the square, 100ft. You get 340ft².
Your answer will be 340ft².
Hope this helped!
Answer:
87.4°
Step-by-step explanation:
(3x + 8) + (3x + 18) + (7x + 9) = 180
3x + 8 + 3x + 18 + 7x + 9 = 180
add the common numbers
13x + 35 = 180
subtract 35
13x = 145
divide 13
x = 11.2
then plug it back in to m<3
7(11.2) + 9
78.4 + 9
= 87.4°
![\bf \textit{zeros at } \begin{cases} x = -3\implies &x+3=0\\ x = -1\implies &x+1=0\\ x = 4\implies &x-4=0 \end{cases}\qquad \implies (x+3)(x+1)(x-4)=\stackrel{y}{0} \\\\\\ (x^2+4x+3)(x-4)=0\implies x^3~~\begin{matrix}+ 4x^2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~+3x~~\begin{matrix} -4x^2 \\[-0.7em]\cline{1-1}\\[-5pt]\end{matrix}~~-16x-12=0 \\\\\\ x^3-13x-12=0](https://tex.z-dn.net/?f=%5Cbf%20%5Ctextit%7Bzeros%20at%20%7D%20%5Cbegin%7Bcases%7D%20x%20%3D%20-3%5Cimplies%20%26x%2B3%3D0%5C%5C%20x%20%3D%20-1%5Cimplies%20%26x%2B1%3D0%5C%5C%20x%20%3D%204%5Cimplies%20%26x-4%3D0%20%5Cend%7Bcases%7D%5Cqquad%20%5Cimplies%20%28x%2B3%29%28x%2B1%29%28x-4%29%3D%5Cstackrel%7By%7D%7B0%7D%20%5C%5C%5C%5C%5C%5C%20%28x%5E2%2B4x%2B3%29%28x-4%29%3D0%5Cimplies%20x%5E3~~%5Cbegin%7Bmatrix%7D%2B%204x%5E2%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D~~%2B3x~~%5Cbegin%7Bmatrix%7D%20-4x%5E2%20%5C%5C%5B-0.7em%5D%5Ccline%7B1-1%7D%5C%5C%5B-5pt%5D%5Cend%7Bmatrix%7D~~-16x-12%3D0%20%5C%5C%5C%5C%5C%5C%20x%5E3-13x-12%3D0)
we know that f(-2) = 24, namely when x = -2, y = 24, let's see if that's true
darn!! no dice.... hmmmm wait a second.... 4 * 6 = 24, if we could just use a common factor of 4 on the function, that common factor times 6 will give us 24, let's check.
![\bf 4(x^3-13x-12)=y\implies \stackrel{x = -2}{4[~~(-2)^3-13(-2)-12~~]}=y \\\\\\ 4[~~-8+26-22~~]=y\implies 4[6]=y\implies 24=y \\\\[-0.35em] ~\dotfill\\\\ ~\hfill 4x^3-52x-48=y~\hfill](https://tex.z-dn.net/?f=%5Cbf%204%28x%5E3-13x-12%29%3Dy%5Cimplies%20%5Cstackrel%7Bx%20%3D%20-2%7D%7B4%5B~~%28-2%29%5E3-13%28-2%29-12~~%5D%7D%3Dy%20%5C%5C%5C%5C%5C%5C%204%5B~~-8%2B26-22~~%5D%3Dy%5Cimplies%204%5B6%5D%3Dy%5Cimplies%2024%3Dy%20%5C%5C%5C%5C%5B-0.35em%5D%20~%5Cdotfill%5C%5C%5C%5C%20~%5Chfill%204x%5E3-52x-48%3Dy~%5Chfill)
Answer:
49 degrees
Step-by-step explanation:
its because like it's on the same line
