B x is equal to 3
hope this helps
Answer:
as below
Step-by-step explanation:
to find the height of the pole recall the relationship of sin cos and tan to the triangle with this helpful mnemonic SOH CAH TOA
Sin = Opp / Hyp
Cos = Adj / Hyp
Tan = Opp / Adj
we will need to solve two triangles and subtract them.
one is the 15° one of the slope of the road and the other is the 57° one that is the angle of the sun. sooooo,
lets solve the 15° one first. We are told that the adj side is 75'
since we know the angle and the adj side and we want to find the Opp side let's use Tan b/c it has all of those in it :)
Tan(15) = Opp / 75
75*Tan(15) = Opp ( I'll put my calculator to work for this )
20.096 = Opp
that's the height of the road to the bottom of the flag pole along that flag pole axis into the ground
next lets solve the 57° triangle in the exact same way
Tan(57) =Opp / 75
75*Tan(57) = Opp
115.4898 = Opp
the tall triangle is the one that goes all the way into the ground, the small one is the one that is under the ground
so subtract the small one from the big one to find the height of the flag pole above the ground
115.4898-20.096 = 95.3938
so the flag pole is about 95.4 feet tall
:o that's pretty tall :
Answer:
141
Step-by-step explanation:
First, you would round 72.91 to 73 because the number to the right of 7 is greater than or equal to 5, so you would round up. Same goes for 67.526. round both up to 73 and 68 then add. You would get an answer of 141 :)
9514 1404 393
Answer:
360
Step-by-step explanation:
Sam obtains a "contribution margin" of $0.50 -0.25 = $0.25 per cookie. That will cover the cost of baking supplies when he sells ...
$90 / ($0.25/cookie) = 360 cookies
Sam needs to sell 360 cookies before he can start making a profit.
_____
If you like, you can find Sam's break-even point by equating revenue and cost. The is the number of cookies Sam must sell for a profit of 0, that is, for non-negative profit.
P = R - C
0 = R - C
R = C
0.50n = 90 +0.25n
0.25n = 90 . . . . subtract 0.25n
n = 90/0.25 = 360 . . . .divide by the coefficient of n
You may notice this is similar to our description above.
Answer: y + 1 = 2 (x -1)
Step-by-step explanation:
Point slope form is:
y - y1 = m (x - x1)
Point on the line is (1, -1) and slope is 2
m = 2
y1 = -1
x1 = 1
y - (-1) = 2 (x - 1) or y + 1 = 2 (x -1)
