Answer:
41.5
Step-by-step explanation:
you use the trigonometric equations. in this case, we will use SOH:
sin 49=opposite/adjacent
sin 49=x/55
55 sin 49=x
41.50=x
Therefore, x is equals to 41.50. And it is already to it's nearest hundredth.
Answer:
n = 1
Step-by-step explanation:
Solve for n:
-9 (6 - 4 n) = 2 (9 n - 12) - 12 n
2 (9 n - 12) = 18 n - 24:
-9 (6 - 4 n) = 18 n - 24 - 12 n
Grouping like terms, 18 n - 12 n - 24 = (18 n - 12 n) - 24:
-9 (6 - 4 n) = (18 n - 12 n) - 24
18 n - 12 n = 6 n:
-9 (6 - 4 n) = 6 n - 24
Expand out terms of the left hand side:
36 n - 54 = 6 n - 24
Subtract 6 n from both sides:
(36 n - 6 n) - 54 = (6 n - 6 n) - 24
36 n - 6 n = 30 n:
30 n - 54 = (6 n - 6 n) - 24
6 n - 6 n = 0:
30 n - 54 = -24
Add 54 to both sides:
30 n + (54 - 54) = 54 - 24
54 - 54 = 0:
30 n = 54 - 24
54 - 24 = 30:
30 n = 30
Divide both sides of 30 n = 30 by 30:
(30 n)/30 = 30/30
30/30 = 1:
n = 30/30
30/30 = 1:
Answer: n = 1
It's D, you have to divide 1.54$ by 2.2pounds, then you will get the price for 1 pound. And then multiply the price (0,7$) by 5,7 pounds
Answer:
32.98 ft
Step-by-step explanation:
What you have right there is a triangle.
The base of the triangle is given (14 ft)
The angle from the ladder makes while leaning on the house is 67 degrees.
This is a simple trigonometry problem
You want to find the length of the ladder and you don't have the hypotenuse
So you can use the function tan to find it.
tan(Ф) = opposite/adjacent
You are looking for the opposite side length
So you do tan(Ф) * adjacent = opposite
tan(67) * 14 = 32.98 ft
Answer:
5
Step-by-step explanation:
f(4) falls into the category x > -1 because 4 > -1. Therefore, we use the function f(x) = 2x - 3. f(4) will then equal 2(4) - 3 = 5.