Answer:
16 feet
Step-by-step explanation:
just cuz that's what it is
Answer: the company should promote 4412 hours for these bulbs.
Step-by-step explanation:
Assuming that the lives of the bulbs are normally distributed, we would apply the formula for normal distribution which is expressed as
z = (x - µ)/σ
Where
x = lifetime of the bulbs in hours.
µ = mean hours
σ = standard deviation
From the information given,
µ = 4000 hours
σ = 200 hours
If only 2% burn out, then the company would promote 98% would meet the claimed lifetime. Looking at the normal distribution table, the z score corresponding to a probability of 0.98 is 2.06. Therefore,
2.06 = (x - 4000)/200
Cross multiplying, it becomes
200 × 2.06 = (x - 4000)
412 = x - 4000
x = 4000 + 412
x = 4412 hours
Answer:
$65.60
Step-by-step explanation:
82*.20 = 16.4
so 82-16.4=65.60
Answer:
1/150
Step-by-step explanation:
the answer is in the question 1 inch (1/) is equal to 150 miles (/150)
1/150
Use the law of sines when you're given: (a) 2 angles, 1 side OR (b) 2 sides, non-included angle (aka an angle not created by those two sides)
Use the law of cosines when you're given: (a) 3 sides OR (b) 2 sides, included angle
Since you're given the measurements of two angles (A and C) and one side (a), you can solve the triangle using the law of sines.
Start by drawing the triangle. Remember that the uppercase letters are the angles and the lowercase letters are the length of the sides opposite the angle with the same letter (see picture - letters in blue are given, letters in green are what we're trying to find).
The law of sines says:
![\frac{a}{sin(A)} = \frac{b}{sin(B)} = \frac{c}{sin(C)}](https://tex.z-dn.net/?f=%20%5Cfrac%7Ba%7D%7Bsin%28A%29%7D%20%3D%20%20%5Cfrac%7Bb%7D%7Bsin%28B%29%7D%20%3D%20%20%5Cfrac%7Bc%7D%7Bsin%28C%29%7D)
1) You are told that angle A = 40°, angle C = 70°, and side a = 20. That means you can plug these values into
![\frac{a}{sin(A)} = \frac{c}{sin(C)}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7Bsin%28A%29%7D%20%3D%20%5Cfrac%7Bc%7D%7Bsin%28C%29%7D)
(which we know is true because of the law of sines) to find the length of side c:
The length of side c is about 29.238.2) Also remember that all the angles in a triangle add up to 180°. We know two of the angles, A and C, so subtract A and C from 180 to find the measure of angle B:
The measure of angle B is 70°.3) Now you can use the law of sines to find the length of side B. You can use
![\frac{a}{sin(A)} = \frac{b}{sin(B)}](https://tex.z-dn.net/?f=%5Cfrac%7Ba%7D%7Bsin%28A%29%7D%20%3D%20%5Cfrac%7Bb%7D%7Bsin%28B%29%7D%20)
or
![\frac{c}{sin(C)} = \frac{b}{sin(B)}](https://tex.z-dn.net/?f=%5Cfrac%7Bc%7D%7Bsin%28C%29%7D%20%3D%20%5Cfrac%7Bb%7D%7Bsin%28B%29%7D%20)
. I'll be using the first one:
The length of side b is also about 29.238. You can also say b ≈ 29.238 without doing that math because triange ABC is an isosceles triangle since two angles (C and B) are the same, which makes their corresponding sides (c and b) the same!
-----
Your answer: C) B = 70°, b = 29.2, c = 29.2