Answer:
1. A = 59
2. A = 43
Step-by-step explanation:
If we have a right triangle we can use sin, cos and tan.
sin = opp/ hypotenuse
cos= adjacent/ hypotenuse
tan = opposite/ adjacent
For the first problem, we know the opposite and adjacent sides to angle A
tan A = opposite/ adjacent
tan A = 8.8 / 5.2
Take the inverse of each side
tan ^-1 tan A = tan ^-1 (8.8/5.2)
A = 59.42077313
To the nearest degree
A = 59 degrees
For the second problem, we know the adjacent side and the hypotenuse to angle A
cos A = adjacent/hypotenuse
cos A = 15.3/21
Take the inverse of each side
cos ^-1 cos A = cos ^-1 (15.3/21)
A = 43.23323481
To the nearest degree
A = 43 degrees
Answer: the answer is x=36
Step-by-step explanation:
Simplify \frac{1}{8}(x-4)
8
1
(x−4) to \frac{x-4}{8}
8
x−4
.
-\frac{x-4}{8}=-4
−
8
x−4
=−4
2 Multiply both sides by 88.
-x+4=-4\times 8
−x+4=−4×8
3 Simplify 4\times 84×8 to 3232.
-x+4=-32
−x+4=−32
4 Regroup terms.
4-x=-32
4−x=−32
5 Subtract 44 from both sides.
-x=-32-4
−x=−32−4
6 Simplify -32-4−32−4 to -36−36.
-x=-36
−x=−36
7 Multiply both sides by -1−1.
x=36
x=36
Answer:
Length =
= 5/2 inches or 2 1/2 inches
Step-by-step explanation:
Lin lines the bottom of her first pan with aluminum foil. The area of the rectangular piece of foil 11 1 4 is square inches. Its length is 4 1 2 inches. What is the width of the foil? Explain your reasoning.
Area of rectangle = Length × Width
Widths = Area/Length
The area of the rectangular piece of foil 11 1/4 is square inches.
Its length is 4 1 /2 inches.
Hence:
Length = 11 1/4 /4 1/2
= 45/4 ÷ 9/2
= 45/4 × 2/9
= 5/2 inches
= 2 1/2 inches
280+220=500 hope this helps
