Answer:
x ≈ 35.1°
Step-by-step explanation:
Using the cosine ratio in the right triangle
cos x =
=
, then
x =
(
) ≈ 35.1° ( to the nearest tenth )
Tina does not have enough rope to decorate the frame
Step-by-step explanation:
Tina wants to decorate a rectangular picture frame
- The width of the frame is 18 inches
- The length of the frame is 14 inches
- She has 4 feet rope
We want to know if she has enough rope or not to decorate the frame
∵ The frame is in the shape of the rectangle
- The length of the rope must be equal the perimeter of the frame
∵ The perimeter of a rectangle = 2 length + 2 width
∵ The length = 14 inches
∵ The width = 18 inches
∴ The perimeter of the frame = 2(14) + 2(18) = 28 + 36 = 64 inches
∵ The length of the rope is 4 feet
∵ 1 foot = 12 inches
∴ The length of the rope = 4 × 12 = 48 inches
∵ 48 < 64
∴ The length of the rope is less than the perimeter of the frame
∴ Tina does not have enough rope
Tina does not have enough rope to decorate the frame
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Answer:
The answer is option 1.
Step-by-step explanation:
Firstly, you have to elaborate the expression :


Next you have to take out the common factors and factorize it :



Original height of tree = (x+5) m
In triangle ABC x square = 5 square + 12 square
X square = 25+144
X square = 169
X = 13
Thus the original height of the tree was 13+15 = 18m
All the 5 angles are equal to 286, so....
360 - 286 = 74
then,
180 aka a straight line
180 - 74 = 106
interior is 74
exterior is 106