X + (x + 2)
x + 2 + 3x = 234 combine like terms
4x + 2 = 234 subtract two to isolate x
4x = 232 divide by four
x = 58
The two numbers are 58 and 60.
Answer:
Option C is correct.
Step-by-step explanation:
We need to find reference angle and signs of sinФ, cosФ and tanФ
We know that 
is equal to 150°
and 150° is in 2nd quadrant.
So, Ф is in 2nd quadrant.
And In 2nd quadrant sine is positive, while cos and tan are negative
The reference angle Ф' is found by: π - Ф
=> Ф = 5π/6
so, Reference angle Ф' = π - 5π/6
Ф' = 6π - 5π/6
Ф' = π/6
So, Option C Θ' = pi over 6; sine is positive, cosine and tangent are negative is correct.
Tahmid has 96 figures, Sandeep has 1/3 of it so
96(1/3) = 96/3 = 32
Sandeep has 32 figures
Tahmid 96 ; Sandeep 32
How many must tahmid give so they have the same figures?
First take the difference of the two so we know how many tahmid can give.
96-32 = 64
now they each have 32 and 64 give or keep. for each one tahmid gives, he must keep one himself so to match the number they both own. so we divide the number of 2, one part to give, the other part to keep himself.
64/2 = 32
So, Tahmid must give Sandeep 32 figures to have equal number of figures of 64 each.
Answer:
The ball reaches a height of 29.25 ft after 1.125 seconds
Step-by-step explanation:
The maximum height of a parabola can always be found by looking for the vertex. You can find the x value (or in this case the t value) of a vertex by using -b/2a in which a is the coefficient of x^2 and b is the coefficient of x.
-b/2a
-(36)/2(-16)
-36/-32
1.125 seconds
Now to find the height, we input that value in for t
h = -16t^2 + 36t + 9
h = -16(1.125)^2 + 26(1.125) + 9
29.25 feet
