Answer:
1.6 hours for each group
Step-by-step explanation:
8 / 5 = 1.6
1.6 x 5 = 8
you have to share 8 hours equally among 5 groups so its just 8 / 5 and you get 1.6 and thats how many hours each team is going to get
B.) y=3x
The slope of a given line is defined by <em>y=mx+b</em>, where b is the y-intercept (the point at which the line crosses the y-axis) and m is the slope (rise/run). We see that the y-intercept is 0 (because the line hits the y-axis at 0) and the slope is 3 (rise=3 and run=1, so 3/1=3).
:)
Step-by-step explanation:
The vertex form of a parabola can be written as
where (h, k) are the coordinates of the parabola's vertex. The vertices of the functions are as follows:
a) (3, 5)
b) (-7, 3)
c) (4, 0)
d) (0, -1)
e) (-1, -5)
f) (-1, -5)
Answer:
91.8 ft
Step-by-step explanation:
So we can talk about the diagram, let's name a couple of points. The base of the tree is point T, and the top of the tree is point H. We want to find the length of TH given the length AB and the angles HAT and ABT.
The tangent function is useful here. By its definition, we know that ...
TA/BA = tan(∠ABT)
and
TH/TA = tan(∠HAT)
Then we can solve for TH by substituting for TA. From the first equation, ...
TA = BA·tan(∠ABT)
From the second equation, ...
TH = TA·tan(∠HAT) = (BA·tan(∠ABT))·tan(∠HAT)
Filling in the values, we get ...
TH = (24.8 ft)tan(87.3°)tan(9.9°) ≈ 91.8 ft
The height <em>h</em> of the tree is about 91.8 ft.
