Answer:
? = 32.20422
Step-by-step explanation:
We know the adjacent side and the hypotenuse
cos ? = adj / hyp
cos ? = 33/39
cos ? = 11/13
Taking the inverse cos of each side
cos ^ -1( cos ?) = cos^-1(11/13)
? = 32.20422
Answer:
Step-by-step explanation:
1. x^2 + 6x = 5
x^2 + 6x + 9 = 14
(x+3)^2 = 14
x =
- 3
2. x^2 + 8x -4 = 0
x^2 + 8x = 4
x^2 + 8x + 16 = 20
(x+4)^2 = 20
x =
- 4
Answer:
$16000 invested in 4.25% and 16000 invested in 6.25%
Step-by-step explanation:
Let x be the amount invested in 4.25% and y be the amount invested in 6.25%
4.25%= 0.0425
6.25%= 0.0625

subtract x from both sides

total interest earned is 1680


Now solve for x and y

subtract 2000 from both sides


divide by -0.02 from both sides
x=16000


STEP 1:
convert gallons to cups & calculate total number of cups
1 gallon= 16 cups
= 8 gallons * 16 cups/gallon
= 128 cups total
STEP 2:
calculate total cups estimated for 20 guests
= 20 guests * 2 cups/guest
= 40 cups needed for guests
STEP 3:
subtract the difference between step 1 and step 2 to find leftover punch
= 128 cups - 40 cups
= 88 cups leftover
OR
GALLONS LEFTOVER
= 88 ÷ 16 cups/gallon= 5 1/2 gallons
ANSWER: There will be 88 cups or 5 1/2 gallons of punch leftover.
Hope this helps! :)
Since it is an expression and not an equation, you would just have to distribute the -3 to the two inside the parentheses.
The answer is -9 + 30x