Answer:
ldk
Step-by-step explanation:
sorry
Answer:
Step-by-step explanation:
oto begin you should know that all triangles contain 180 degrees and that a flat line contains 180 degrees as well. This means that in order to find this answer you should begin by calculating the remianing angle in the traingle. This is done by 180-(95+51) and gives and angle of 34 degrees. Then take 180-(95+35) in order to get x. This gives an x of 51.
Hope this helps!
<span>Find the exact value of sec(-4π/3). Note that one full rotation, clockwise, would be -2pi. We have to determine the Quadrant in which this angle -4pi/3 lies. Think of this as 4(-pi/3), or 4(-60 degrees). Starting at the positive x-axis and rotating clockwise, we reach -60, -120, -180 and -240 degrees. This is in Q III. The ray representing -240 has adj side = -1 and opp side = to sqrt(3).
Using the Pyth. Theorem to find the length of the hypo, we get hyp = 2.
Thus, the secant of this angle in QIII is hyp / adj, or 2 / sqrt(3) (answer). This could also be written as (2/3)sqrt(3).
</span>
Answer:
Step-by-step explanation:
We first need to figure out how much money Jackie has since Pilar has the same amount of money, but in different coins. Jackie has 24 dimes and 13 quarters, so the amount of money is $2.40 + $3.25 = $5.65; therefore, Pilar has $5.65 also. In order to determine how many nickels and quarters Pilar has, we have to have a system of equations. It's up to us to write the equations we need to solve this. The first equation has to do with the NUMBER of coins Pilar has, the second has to do with the VALUE of each coin. We know that Pilar has only nickels and quarters and that she has a total of 53 coins. So the NUMBER equation is
n + q = 53
The VALUE equation relates how much each coin is worth to the total amount of money it equals:
.05n + .25q = 5.65.
Go back to the first equation and solve it for either n or q. I solved it for n:
n = 53 - q
Plug this into the second equation in place of n now to get:
.05(53 - q) + .25q = 5.65 and
2.65- .05q + .25q = 5.65 and
.20q = 3 so
q = 15. This means that there are 15 quarters. If there are 15 quarters, then there are
n + 15 = 53 nickels and
n = 38 nickels.
Answer:
94.99
Step-by-step explanation:
Hi,
The formula to find the area of a circle is: A = πr²
So...
A = 3.14 (r)²
The radius of the circle is 5.5 because half of the diameter is the radius.
A = 3.14 (5.5)²
A = 3.14 (30.25)
A = 94.985 rounded is 94.99
I hope this helps :)
