9514 1404 393
Answer:
31 degrees
Step-by-step explanation:
The side lengths opposite and adjacent to the unknown angle are given. The appropriate relation is ...
Tan = Opposite/Adjacent
tan(x) = 30/50
Using the inverse tangent function, you can find x:
x = arctan(30/50) ≈ 30.964°
x ≈ 31°
Answer:
-8
Step-by-step explanation:
((x * -5) / -8) = 5
multiply both sides by -8
x * -5 = 40
divide both sides by -5
x = -8
Step-by-step explanation:
The given equation or expression is used to determine the total cost of buying carnival tickets.
the total cost is y
Also from the expression the cost of a ticket is $2.5
and x represents the number of tickets
now say x=5, that is 5 tickets, then the cost of buying the 5 tickets is given as
y=2.5(5)
y=12.5
Hence the cost of 5 tickets is $12.5
Answer:
B and D
Step-by-step explanation:
Write as a quadratic
-2x² - 3x + 5 = 0
Factor
-2x² - 5x + 2x + 5 = 0
-x(2x + 5) + 1(2x + 5) = 0
(1 - x)(2x + 5) = 0
To make the equation 0, x is either 1 or -5/2.
The volume of a rectangular prism is represented by the following equation:
![V=wlh](https://tex.z-dn.net/?f=V%3Dwlh)
where w is the width , l is the length, and h is the height
Replace
with
since the length is tripled
![V_0=w(3l)h](https://tex.z-dn.net/?f=V_0%3Dw%283l%29h)
![=3(wlh)](https://tex.z-dn.net/?f=%3D3%28wlh%29)
From this, we see that this new volume is 3x larger than the original. Thus, the volume is tripled when its length is tripled.
Let me know if you need any clarifications, thanks!