Answer:
Step-by-step explanation:
<u>Use the law of cosines to find the side AB:</u>
<u>Use the Heron's area formula next:</u>
, where s- semi perimeter
- s = 1/2[x + x + 3 +
) = 1/2 (2x + 3 + ) - s - a = 1/2 (2x + 3 + - 2x - 6) = 1/2 (
- 3) - s - b = 1/2 (2x + 3 + - 2x) = 1/2 ( + 3)
- s - c = 1/2 (2x + 3 + - 2) = 1/2 (2x + 3 - )
<u>Now</u>
- (s - a)(s - b) = 1/4 [(x²+3x+9) - 9] = 1/4 (x² + 3x)
- s(s - c) = 1/4 [(2x + 3)² - (x² + 3x + 9)] = 1/4 (3x²+ 9x) = 3/4(x² + 3x)
<u>Next</u>
- A² = 3/16(x² + 3x)(x² + 3x)
- 300 = 3/16(x² + 3x)²
- 1600 = (x² + 3x)²
- x² + 3x = 40
<u>Substitute this into the first equation:</u>
Hello! The answer should be B: 6i
. Since the square root is above a negative, an imaginary number would come out. Because of this, you can easily recognize that it would be B.
However, if you can't, you could use the calculator to check (ignoring the negatives), 6
is equal to
.
The final answer should be B.
The answer to the question
Answer:
5 miles/day
Step-by-step explanation:
This is a division problem.
(60 miles)/(12 days) = 5 miles/day
Answer:Brielle will run the half marathon race faster.Brielle will take 1 hour 44 minutes and 48 seconds, Joshua will take 2 hours 37 minutes and 12 seconds
Step-by-step explanation:
10 / 1.25 = 8
8 minutes a mile
18 / 1.5 = 12
12 minutes a mile
Brielle will run the half marathon race faster.
8 x 13.1 =104.8
12 x 13.1=157.2
104.8 - 60=
44.8
60 seconds x .8= 48
Brielle will take 1 hour 44 minutes and 48 seconds
157.2 - 120 = 37.2
60 seconds x .2 = 12
Joshua will take 2 hours 37 minutes and 12 seconds
