9514 1404 393
Answer:
- b = 757.7 m
- A = 17.2°
- C = 14.3°
Step-by-step explanation:
From the law of cosines, you can find the length of side b to be ...
b = √(a² +c² -2ac·cos(B))
b = √(184041 +128164 -307164cos(148.5°)) ≈ √574105.36
b ≈ 757.7
__
From the law of sines, you can find the measure of angle C to be ...
C = arcsin(c/b·sin(B))
C ≈ arcsin(358/757.7·sin(148.5°)) ≈ arcsin(0.246872)
C ≈ 14.3°
A = 180° -148.5° -14.3°
A = 17.2°
_____
Some graphing calculators have built-in triangle-solving functions. Apps are available for the purpose for phone or tablet. The screenshot shows a web site that does a nice job of solving the triangle.
Answer:
The probability that a student will go to graduate school and take loans to pay for their undergraduate education is P=0.111.
Step-by-step explanation:
We know that:
- The probability that a student will take loans to pay for their undergraduate education is 0.85
.
- The probability that a student goes to graduate school, <em>given that the student took loans to pay for their undergraduate education,</em> is 0.13.
What is the probability that a student will go to graduate school and take loans to pay for their undergraduate education?
Out of the population of students, a proportion of 0.85 takes loans for undergraduate studies. Out of this, a proportion of 0.13 goes to graduate school.
This probability can then be calculated as:
Answer:
<h3> The true statement is the first:</h3><h2>
Measure of angle A = 20 degrees</h2>
Step-by-step explanation:
The sum of the measure of the interior angles in a triangle is 180°
m∠A + m∠B + m∠C = 180°
(2x)° + (5x)° + (11x)° = 180°
(18x)° = 180°
x = 10
A = (2×10)° = 20° {<u>the first statement is true}</u>
B = (5×10)° = 50° {the second statement is false}
C = (11×10)° = 110°
m∠A + m∠B = 20° + 50° = 70° ≠ 90° {the third statement is false}
m∠A + m∠C = 20° + 110° = 130° ≠ 120° {the fourth statement is false}
Answer:
C 10⁴
Step-by-step explanation:
The given equation is
Javier has to solve for n
He can multiply through by 100 to get;
He can now divide through by 775 to obtain:
He can now easily simplify to get:
We rewrite as a power to get:
