Answer:
y¹¹x⁶
Step-by-step explanation:
y⁶x⁵y⁴xy
(y⁶×y⁴×y)(x⁵×x)
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y¹¹x⁶
The tangent makes an angle of 90 degrees with the circle.
x + 29 + 90 = 180
x = 180 - 29 - 90
x = 61
x = 61°
Given that the slide is 4.3 m long and makes an angle of 31°, then to get how high the slide is above the ground we use trigonometry formula.
sin θ=opposite/hypotenuse
opposite=x=how high the slide is above the ground
hypotenuse=length of the slide=4.3 m
θ=31°
plugging the values in the formula and solving for x we obtain
sin 31=x/4.3
x=4.3×tan 31
x=4.3(0.6009)
x=2.58387
x~2.6 m
Hence we conclude that the top of the slide is approximately 2.6 m from the ground
Answer:
30%
Step-by-step explanation:
Hello from MrBillDoesMath!
Answer:
Choice A, 1/4
Discussion:
Consider the perfect square
(x + a)^2 = x^2 + (2a)x + a^2
The constant term (a^2) equals 1/2 the coefficient of x (i.e. 2a), squared.
Let's apply this idea to x^2 + x
x^2 + x = => as 2 * 1/2 = 1
x^2 + ( 2 * 1/2)x =
( x^2 + (2* 1/2)x + ( 1/2) ^2 ) - (1/2) ^2 =
as constant term to add is 1/2 coefficient of x (that is, 1/2) and
(1/2)^2 - (1/2)^2 = 0
(x + 1/2) ^ 2 - (1/2)^2
In other words add the constant (1/2)^2 = 1/4, which is Choice A.
Thank you,
MrB
