Answer:
AC = 3.72 units
Angles:
A = 132.6°
C = 27.4°
Step-by-step explanation:
AC² = 5² + 8² - 2(5)(8)cos(20)
AC² = 13.82459034
AC = 3.718143399
3.718143399/sin20 = 8/sinA
sinA = 0.7358944647
A = 180 - 47.38285134
A = 132.6171487
3.718143399/sin20 = 5/sinC
sinC = 0.4599340405
C = 27.38285134
Answer: 1/7
Step-by-step explanation:
7x=1
x=1/7
Answer:
Step 1 Eliminate fractions by multiplying all terms by the least common denominator of all fractions.
Step 2 Simplify by combining like terms on each side of the inequality.
Step 3 Add or subtract quantities to obtain the unknown on one side and the numbers on the other.
Hope that helped happy holidays!
Answer:
With the vertex 
We see that b = -10 and a = 2 and then the vertes wuld be:
And the best option is:
b. (-10,2)
Step-by-step explanation:
For this problem we have the following function:
And if we compare this expression with the general expression for a parabola given by:
With the vertex
We see that b = -10 and a = 2 and then the vertes wuld be:
And the best option is:
b. (-10,2)
Answer:
Length is 15 inches
Width is 8 inches
Step-by-step explanation:
A = L*W
the Width = L-7
120 = L (L-7)
120 = L^2-7L
subtract 120 from each side
0 = L^2 - 7L - 120
(L-15) (L +8 )
so L = 15 inches
and W = 15-7 = 8 inches
check your answer: does 15*8 = 120? yes!
