Answer:
110sin(72°) feet
Step-by-step explanation:
In the right triangle with the 110 ft ladder as the hypotenuse, the side opposite the 72° angle represents the maximum height the ladder will reach. The definition of the sine function tells you ...
Sin = Opposite/Hypotenuse
so the Opposite side will be ...
ladder height = (110 ft)sin(72°)
Answer:
6.98%
Step-by-step explanation:
To find relative frequency we divide frequency with the total number participants in that age bracket
Total number of participants age 10-19=172.....................given in the table
The frequence for those who ski at age 10-19=12---------------given in table
Relative frequency= 12/172 = 0.0697
Expressed as a percentage= 0.06976×100 =6.98%
Answer:
51.32
Step-by-step explanation:
∠B = arcsin(b·sin(A)a)
= 0.67513 rad = 38.682° = 38°40'56"
∠C = 180° - A - B = 0.89566 rad = 51.318° = 51°19'4"
c = a·sin(C)sin(A) = 31.22499
Answer:
33.94 cms of ribbon
Step-by-step explanation:
Because you need two diagonals to form the x, therefore the amount of ribbon needed is the sum of the distance of both diagonals.
When crossing the diagonal, a rectangular angle is formed, where the diagonal would be the hypotenuse, we know that the distance of the hypotenuse can be calculated by means of the legs, which we know its value (12):
d ^ 2 = a ^ 2 + b ^ 2
a = b = 12
d ^ 2 = 12 ^ 2 + 12 ^ 2
d ^ 2 = 288
d = 288 ^ (1/2)
d = 16.97
16.97 cm is what it measures, a diagonal, therefore tape is needed:
16.97 * 2 = 33.94
A total of 33.94 cms of ribbon is needed
Answer from jmonterrozar
The values of the radius and volume are placed in the formula to get the volume of the cylinder
V/ πr2
hope it helps.
