Answer:
68% of Dominics friends went on at the same time as him.
Step-by-step explanation:
50-7-4=34
34/50 =0.68 x 100 = 68%
Answer:
1) Equal to 17.4
2)Less than 17.4
Step-by-step explanation:
One thing we must always remember that when we have number 0 after the decimal point, it means we do not need to consider that as it will have no effect on product and on the other operations.
So,
1)
17.4 x 1.0 = 17.4 x 1 = 17.4 (Product is equal to 17.4)
2)
Suppose if a number 'A' which is less than 1 is multiplied by any other number 'B', than the multiplication always result in the number less than B.
For example:
1x0.5 = 0.5 which is less than 1
Similarly for
17.4 x 0.98 = Result will be less than 17.4 as the second number is less than 1.
Product is less than 17.4
Answer: 14.83 inches
Explanation:
h² + 6² = 16²
h² = 16² - 6²
h² = 220
h = 14.83
We turn -5,12 into polar coordinates. It's a Pythagorean Triple so
r = 13 Ф=arctan(-12/5) + 180° ( in the second quadrant )
so -5 = 13 cos Ф, 12 = 13 sin Ф
12 sin x - 5 cos x = 6.5
13 sinФ sin x + 13 cos Ф cos x = 6.5
13 cos(x - Ф) = 6.5
cos(x - Ф) = 1/2
cos(x - Ф) = cos 60°
x - Ф = ± 60° + 360° k integer k
x = Ф ± 60° + 360° k
x = 180° + arctan(-12/5) ± 60° + 360° k
That's the exact answer;
x ≈ 180° - 67.38° ± 60° + 360° k
x ≈ 122.62° ± 60° + 360° k
x ≈ { 62.62°, 182.62°} + 360° k, integer k
Answer:
D. x = 10, m<TRS = 60°
Step-by-step explanation:
m<QRS = 122° (given)
m<QRT = (7x - 8)° (given)
m<TRS = (6x)° (given)
m<QRT + m<TRS = m<QRS (angle addition postulate)
(7x - 8)° + (6x)° = 122° (substitution)
Solve for x
7x - 8 + 6x = 122
Add like terms
13x - 8 = 122
13x = 122 + 8
13x = 130
x = 130/13
x = 10
✔️m<TRS = (6x)°
Plug in the value of x
m<TRS = (6*10)° = 60°
