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>
Answer:
0.0869
Step-by-step explanation:
The arc electronic company had an income of 90 million dollars last year.
Mean(μ) = 75 million dollars
Standard deviation (σ) = 11 million dollars
Probability that the randomly selected will earn more than arc did last year = Pr(x>90)
Using normal distribution,
Z = (x - μ) / σ
Z = (90 - 75) / 11
Z = 15/11
Z = 1.36
From the normal distribution table, 1.36 = 0.4131
Φ(z) = 0.4131
Recall that when Z is positive, Pr(x>a) = 0.5 - Φ(z)
= 0.5 - 0.4131
= 0.0869
<u>Answer:</u>
A) Scalene E) Obtuse
<u>Detailed Explanation:</u>
A) Scalene
This triangle would be classified as scalene because none of the angles are equal.
____________________________________________________________
E) Obtuse
This triangle would be classified as an scalene triangle because one of the angles is larger than 90 degrees.
Answer:
15,000
Step-by-step explanation:
initial amount is basically the starting amount
Answer:
do you have a picture of this
