Answer:
Picture below hope it helps : )
Option C:
x = 90°
Solution:
Given equation:
<u>To find the degree:</u>
Subtract 1 + cos²x from both sides.
Using the trigonometric identity:
Let sin x = u
Factor the quadratic equation.
u + 2 = 0, u – 1 = 0
u = –2, u = 1
That is sin x = –2, sin x = 1
sin x can't be smaller than –1 for real solutions. So ignore sin x = –2.
sin x = 1
The value of sin is 1 for 90°.
x = 90°.
Option C is the correct answer.
Answer:
A. LCM=72 B. GCF=7 C. 7(5+9)
Step-by-step explanation:
A. 8/2=4/2=2 9/3=3 Use the denominators to find the LCM. In this case, the LCM is 72.
B. 35/5=7 63/3=21/3=7 The GCF for these numbers is 7 because it is the only factor that they have in common.
C. 7 x 14=88 Since 5 and 9 don't have common factors, they work perfectly for this problem.
The perimeter of a rectangle is given by the following formula: P = 2W + 2L
To solve this formula for W, the goal is to isolate this variable to one side of the equation such that the width of the rectangle (W) can be solved when given its perimeter (P) and length (L).
P = 2W + 2L
subtract 2L from both sides of the equation
P - 2L = 2W + 2L - 2L
P - 2L = 2W
divide both sides of the equation by 2
(P - 2L)/2 = (2W)/2
(P - 2L)/2 = (2/2)W
(P - 2L)/2 = (1)W
(P - 2L)/2 = W
Thus, given that the perimeter (P) of a rectangle is defined by P = 2W + 2L ,
then its width (W) is given by <span>W = (P - 2L)/2</span>
Well
8oz= 1 cup
1 cup= 2 pint
2 pint= 1 Quart
4 Quart= 1 Gallon
so you do the math
