Answer:
Step-by-step explanation:
take angle C as reference angle
using cos rule
cos C=adjacent/hypotenuse
cos C=21/75
cos C=0.28
C=
0.28
C=73.7 degree
6/x= -2/18
Cross multiply. ( Multiply the numerators together ) . ( Multiply the denominators together (.
6*18= - 2*x
108= -2x
Divide by -2 for 108 and -2x
108/-2= -2x/2
x= -54
Answer: x= -54
The local gym holds three 45-minute workout sessions and two 30-minute sessions each week. Then the, total number of minutes Judy worked out for the week was 155 minutes.
We are to determine the total number of minutes Judy worked out for the week.
The gym holds three 45-minute workout sessions and two 30-minute sessions each week
So,
We can write,
The total number of minutes the gym holds workout sessions is
3 × 45 + 2 × 30
= 135 + 60
= 195 minutes
Also, from the information,
Judy left 5 minutes early during the 30-minute sessions and 10 minutes early during the 45-minute sessions.
The total number of minutes Judy didn't attend is
= 3 × 10 + 2 × 5
= 30 + 10
= 40 minutes
Then,
The total number of minutes Judy worked out for the week was,
= 195 minutes - 40 minutes
= 155 minutes
Therefore,
The total number of minutes Judy worked out for the week was 155 minutes.
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Answer:
11
Step-by-step explanation:
Answer:
Step-by-step explanation:
The two points can be made into a right triangle with the two sides defined by two lines drawn from the two given points. Use the Pythagorean Theorem to solve for the hypotenuse, the distance between the two points. See attached graph.
6^2 + 2^2 = x^2
36 + 4 = x^2
x^2 = 40
x = 6.32
