I think it's A! definitely not C or D
Answer:
6. 36°
7. 33.1 cm
Step-by-step explanation:
6. The tangent function relates the sides of a right triangle to the acute angles. Here, the angle west of south that is the direction of the ship from harbour is related to the distances by ...
tan(angle) = (18 km)/(25 km)
Then the angle can be found using the inverse tangent function:
angle = arctan(18/25) ≈ 35.75°
The direction back to the harbour is this same angle east of north. Since bearing angles are measured clockwise from north, the desired bearing is 36°.
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7. The cosine function relates the hypotenuse of a right triangle to the side adjacent to the angle of interest. Here, we have ...
cos(72°) = (diameter of glass)/(straw length to glass rim)
straw length to glass rim = (diameter of glass)/cos(72°) ≈ (9 cm)/0.309017
straw length to glass rim ≈ 29.1 cm
The straw extends 4 cm above the rim of the glass, so is 4 cm longer than this calculated value. The straw is about 33.1 cm long.
Answer:
5.95 inches
Step-by-step explanation:
So, the problem says that the piece of ply wood was cut into 4 equal sections and that the original length was 23.8 inches long. This is a simple equation. All you have to do is cut, or divide, 23.8 into 4 pieces. so 23.8 ÷ 4. So Ronnie cut the ply wood into 4 pieces that measure 5.95 inches each.
Hope I Helped!
The equation given in the question is definitely solvable for finding the value of the unknown variable "x". There is only one unknown variable and one equation.The equation given in the question is
10/8 = (x - 10)/10
(10 * 10)/8 = (x - 10)
100 = 8(x - 10)
100 = 8x - 80
Reversing the two sides, we can write the equation as
8x = 100 + 80
8x = 180
x = 180/8
= 22.5
So the value of the unknown variable comes out to be equal to 22.5. I hope the procedure is clear enough for you to understand.
