Answer:
UV = 4.5 (not rounded)
TV = 3√3
m∠U = 60˚
Step-by-step explanation:
UV = Use sin function since you’re finding the hypotenuse with a given angle and opposite side.
sin(30) = 9/UV
9sin(30) = UV
4.5 = UV
TV = Use Tangent function (opp. over adj.) since you’re finding the adjacent side with a given angle and opposite side.
tan(30) = 9/TV
9tan(30) = TV
3√3 = TV
m∠U = Sum of all interior angles of a triangle is 180˚:
90˚ + 30˚ = 120˚
180˚ - 120˚ = 60˚
Hope this helps :)
The first car went through 32.5 gallons and the second car went through 37.14 gallons of gas.
52.10-49.62=2.48
2.48/49.62 x 100 = 4.998%
The percentage increase in the price is approximately 5 %
<h3>
Answer:</h3>
f(x) = -(x -2)² +3
<h3>
Step-by-step explanation:</h3>
We can fill in the vertex (h, k) values immediately in the vertex form ...
... f(x) = a(x -h)² +k
To find the value of a, we solve the equation for a at some point other than the vertex. The given point is (0, -1), so we can use that:
... -1 = a(0 -2)² +3
... -4 = 4a . . . . . . . . . subtract 3, simplify
... -1 = a . . . . . . . . . . . divide by 4
Now, we know the function is ...
... f(x) = -(x -2)² +3
- 1 3/5= -8/5 ( Multiply the denominator and whole number ) -1*5= -5 -3= -8
-8/5 ÷ -5/6
-8/5*-6/5 ( whenever dividing flip over the second fraction )
=48/25 ( whenever multiplying - negative and - negative = + positive number
48/25= 1 23/25
Answer :48/25 or 1 23/25
