Answer:
24 days
Step-by-step explanation:
To determine the number of days until they both work out at the gym on the same day again,
Find the lowest common multiples of 4 days and 6 days
Clint (4 days) = 8, 12, 16, 20, 24, 28, 32
Max (6 days) = 12, 18, 24, 30, 36, 42
The lowest common multiple of ,4 days and 6 days is 24 days
Therefore, the number of days until they both work out at the gym on the same day again is 24 days
Answer:
255 degrees is in quadrant 3. The reference angle in this case is the negative x axis to 255 degrees, which is 255 - 180 = 75 degrees
Step-by-step explanation:
Answer:
A.
Step-by-step explanation:
A quadrilateral is simply a shape with 4 sides, therefore it does not HAVE to be 3-D.
Answer:
40-7/x
Step-by-step explanation:
seven less than 40
40-7
divided by a number(x)
Answer:
The height of the light pole to the nearest foot is approximately 50 feet
Step-by-step explanation:
The parameters given in the question are;
The length of the cable = 63 feet
The angle of elevation of the cable to the top of the light pole = 52°
With the assumption that the light pole is perpendicular to the ground, the figure formed by the light pole, the distance of the of the cable from the base of the light pole and the length of the cable form a right triangle
The question can be answered by using trigonometric relations for the sine of the given angle as follows;

The opposite leg length of the formed right triangle = The height of the light pole
The hypotenuse length = The length of the cable = 63 feet
The angle, θ = The angle of elevation = 52°
Plugging in the values, gives;

∴ The height of the light pole = 63 feet × sin(52°) ≈ 49.645 feet
The height of the light pole to the nearest foot ≈ 50 feet.