Answer: n = 6
Step-by-step explanation:
First lets combine like terms
(3 + n) + 7 = 3 + (6 + 7)
10 + n = 16
Now let’s subtract 10 on each side to isolate x
N = 6
Now let’s check our work by inputting x just to make sure
(3 + 6) + 7 = 3 + (6 + 7)
9 + 7 = 3 + 13
16 = 16
So we are right!
Answer:
B. 24 in
Step-by-step explanation:
Add the known sides = 19 in
To solve for the two unknown sides -
Side across from the vertical 3 in is the same, so add another 3 inches to 19 = 22 in
For the side across from the 7in you need to subtract the horizontal sides next to it that you already know.
7 = 3 + 2 +x
x = 2
so add 2 in
22 + 2 = 24in
Length (L): w + 3.5
width (w): w
Perimeter (P) = 2L + 2w
31 = 2(w + 3.5) + 2(w)
31 = 2w + 7 + 2w
31 = 4w + 7
24 = 4w
6 = w
Length (L): w + 3.5 = (6) + 3.5 = 9.5
Answer: width = 6 inches, length = 9.5 inches
Answer:
C. 176.6 Square feet (I think)
Step-by-step explanation:
I tried many different ways and got three of the answers above but I think this is the right one.
The equation to find area of a circular cone base: 
- We are given the diameter (15 Feet) but we need to find the radius. So we use the diameter to radius formula:

- Plug in numbers:
≈ 
- Use the Area formula now that you have radius:

- Solve and get =

- Looking at the options the closest one to our answer (off by one-tenth) is C.
Sorry if you get this wrong. I tried lol.
Answer:
Option (3)
Step-by-step explanation:
If binomial (x - 6) and trinomial (-2x² + x + 9) are the factors of a polynomial then their multiplication will be equal to the polynomial.
(x - 6)(-2x² + x + 9) = x(-2x² + x + 9) - 6(-2x² + x + 9)
= -2x³ + x² + 9x + 12x² - 6x - 54
= -2x³ + 13x² + 3x - 54
Therefore, Option (3) will be the correct option.