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.
Answer:
$0.67
Step-by-step explanation:
Divide 8(dollars) by 12 (donuts) and you get 0.66666666666666666666666666666667
But, round it and you get .67
Let's try the actual solution of the system
<span>y = –2x + 1
y = –2x – 3
Note that the slopes of the graphs of these two lines are the same: -2.
That means that the lines are parallel to one another.
Only the y-intercepts (1 and -3) are different.
Since the 2 lines never intersect, the system has no solution.
</span>
Answer:
16 shirts and 48 ties
Step-by-step explanation:
you start with 64 and divide it by 4 i got four cause it says that James had THREE times as many ties as shirts leaving him with leaving him with 3 groups of ties and 1 group of shirts . dividing 64 by 4 leaves you with 16 which is the amount of shirts he has and then you would multiply 16 by 3 to get the amount of ties he has.
We know that
g=3
r=2
b=5
total marbies=g+r+b------> 3+2+5----> 10
a) <span>probability that the first marble is red
P(red)=r/total marbies------------> 2/10-----> 1/5
b) </span><span>probability that the second marble is blue
in this case total marbles-------> 9
P(blue)=b/total marbles----------> 5/9
c) </span><span>the probability that the first marble is red and the second is blue
(1/5)*(5/9)=1/9
the answer is
1/9</span>
