Answer:
1/2 ornament in an hour
Step-by-step explanation:
Given
Required
Determine the ornaments per hour
This question implies that we calculate the unit rate.
Substitute values for Time and number of ornaments
<em>This implies that Constance can decorate 1/2 ornaments in an hour</em>
Answer:
y
=
(
x
+
3
)(
x
+
5
)
Step-by-step explanation:
N/A
Answer:
5.25 is the lenght of the arc AB.
Step-by-step explanation:
First, since we are told the answer should be expressed in radians, we need to convert the arc angle into radians, we do that by multiplying the angle by π and dividing by 180.
60° * π/180 = 1.05rad
Now, there is a simple formula to calculate the arc lenght, A = Ф*r, where:
A = arc lenght
Ф = arc angle (60°=1.05rad)
r = radius (5cm)
A = 1.05*5cm
A = 5.25cm
Answer:
PQ = 3.58, and RQ = 10.4
Step-by-step explanation:
We are given the hypotenuse of the triangle, and an angle. Use sin and cos to solve.
Hypotenuse = 11,
Opposite side is PQ
Adjacent side is RQ
x = 19
Sin x = (opposite side)/(hypotenuse)
Cos x = (adjacent side)/(hypotenuse)
For PQ, this is the side opposite to the angle, so use sin,
Sin 19 = x/11
11(Sin 19) = x
3.58 = x (rounded to the nearest hundredth)
For RQ, this is the side adjacent to the angle, so use cos,
Cos 19 = x/11
11(Cos 19) = x
10.4 = x (rounded to the nearest hundredth)
d=28g I might be wrong, but we can find this by dividing 140 by five, which equals 28.
