Applying the sine ratio and law of sines, the correct measurements are:
B. m∠B = 15°
E. h ≈ 31.28 ft.
<h3>What is the Sine Ratio?</h3>
Sine ratio that can be used to determine the side length of a right triangle is, sin ∅ = opposite side/hypotenuse.
Find c using the law of sines:
C = 33°
A = 180 - 48 = 132 [linear pair]
B = 180 - 33 - 132 = 15° [triangle sum theorem]
b = 20 ft
c = ?
Using the law of sines, b/sin B = c/sin C, we have:
20/sin 15 = c/sin 33
(c)(sin 15) = (20)(sin 33)
c = (20 × sin 33)/sin 15
c ≈ 42.09
Use the sine ratio to find h:
∅ = 48°
Hypotenuse = c = 42.09
Opposite = h = ?
sin 48 = h/42.09
h = (sin 48)(42.09)
h ≈ 31.28
The correct measurements are:
B. m∠B = 15°
E. h ≈ 31.28 ft
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Answer:
y = 2x+5
Step-by-step explanation:
rearrange the equation to make y the sof
y = 1/2x - 3
to find gradient of perpendicular line
1/2 ÷ ( - 1 )
y = -2x + c , the replace the coordinates (-3,-1)
y = 2x + 5
Answer:
d. Cluster
Step-by-step explanation:
Random: Random is asking a group of people from a population. For example, to estimate the proportion of Buffalo residents who are Bills fans, you ask 100 Buffalo residents and estimate to the entire population.
Systematic: Similar to random. For example, you want to estimate something about a population, and your sample is every 5th people you see on the street.
Cluster:Divides the population into groups, with geographic characteristics.. Each element is the groups is used. Suppose you want to study the voting choices of Buffalo Bills players. You can divide into offense, defense and special teams, and ask each player of these 3 groups.
Stratified: Done on a group of clusters, that is, from each cluster(group), a number of people are selected.
In this problem, we have that:
All employees at three stores of a large retail chain were asked to fill out a survey.
Divided by clusters(stores).
So the orrect answer is:
d. Cluster
Answer:
It is so easy u should get this right.
First draw a circle and there is an arc that is like forming a triangle inside a circle and then ab angle is 100 degree and outside is the center of the circle. And since u try to find how much is outside it most likely means that 100-60=40
so it b 40.
Step-by-step explanation: