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: y = 6
Step-by-step explanation:
A square's area can be done by using s^2, where s is y in this case. Because there are 5 squares, the area of the figure is 5y^2. Because the area is also 180cm, 5y^2=180.
Then divide both sides of the equation by 5 to get y^2 = 36. Then square root both sides of the equation to get y = 6.
Hope it helps <3
1). Her walking pace is (1.75 miles) / (50 minutes).
If you want it in units of (miles per hour), do it like this:
(1.75 miles / 50 minutes) x (60 minutes / 1 hour)
= ( 1.75 x 60 / 50 ) miles per hour.
2). The average change was
(30 - 45) degrees / (5 minutes) .
I'm sure you can do the division and make an integer out of that.
3). Each bracelet cost $3.10.
Caroline bought five of them, so she spent $3.10 five times.
Either do the multiplication, or else write down $3.10 five times
and do the addition.
4). In order to factor the expression, the two terms would need
to have some common factor ... both terms need either a power
of 'x', or they need two numbers that have a common factor.
They don't both have an 'x', and 13 and 10 have no common factor.
5). Todd earned 'T' dollars.
Twice what Todd earned is 2T .
$350 more than that is 2T+350 .
The question says that 2,500 is exactly that amount,
so you can write
2T + 350 = 2,500
Subtract 350 from each side: 2T = 2,150
Divide each side by 2: (you can finish it now)
Answer:
- 4 4/5 *C
Step-by-step explanation:
12:00-6:00 is 6hrs
7/10*6 = 42/10 = 4 1/5
1 - 4 1/5 = - 4 4/5
