Answer:
Step-by-step explanation:
Remark
- x is opposite the 90 degree angle. It is the hypotenuse.
- 13 makes up the 57 degree angle. It is the side adjacent.
- The adjacent side and the hypotenuse define the cos(theta).
Formula
cos(theta) = adjacent side / hypotenuse
Givens
Theta = 57 degrees
Hypotenuse = x
Side adjacent = 13
Solution
- Cos(57) = 13 / x Multiply both sides by x
- x*cos(57) = 13 Divide by cos(theta)
- x = 13/cos(57)
- x = 13 / cos(57)
- cos(57) = 0.5446
- x = 13/ 0.5446
- x = 23.87
For the total pounds of the truck to be 4900 pounds
large = 40 pounds
small = 35 pounds
to see that this answer is correct
40x70=2800
35x60=2100
+=4900
Question:
The diagram below shows the graph of a proportional relationship. The plotted point is (6,9) .
What is the unit rate of this graph? Be sure to simplify your answer.
Answer:
The unit rate of this graph is 1.5
Explanation:
The graph shows a proportional relationship and the plotted point is (6,9).
The unit rate of the graph can be determined by the formula,
Thus, from the graph, the coordinates are (0,0) and (6,9)
Substituting the coordinates in the formula, we have,
Subtracting, we get,
Thus, the unit rate of the graph is 1.5
<span>89 is the correct answer.
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Answer:
42.1
Step-by-step explanation:
The height of the main triangle is,
h = 47√3/2 (since it's an 30-60-90 triangle)
so to find x,
tan(44) = h/x
x = h/tan(44)
x = 42.1 (rounded to the nearest tenth)
Answered by GAUTHMATH
