Answer:
h=7ft
Step-by-step explanation:
sinФ=opposite/hypotenuse
sin45°=5/h
0.71=5/h
multiply via by h
0.71h=(5/h)h
h cancel h it remains 5
0.71h=5
divide through by 0.71
0.71h/0.71=5/0.71
h=7.04ft
h=7ft approximately
Answer:
m<CDE=66 degrees.
Step-by-step explanation:
(1) Extend the segment DC so it intersects with line BA. Call the intersection F.
(2) Consider triangle BCF. In here, we are given m<ABC=24 deg. Since m<BCD = 90 deg, we known that m<BCF = 90 deg. Knowing two angles in the triangle BCF lets us determine the rhird angle m<BFC = 180-90-24 = 66 deg.
(3) Because of the fact that AB || DE and the fact that line DF intersects AB and DE, the angles <BFC and <CDE are congruent. Therefore m<CDE=66 deg.
Answer: B. (-4, 0)
<u>Step-by-step explanation:</u>
The question is: when is the <u>function</u> constant?
function is also called f(x), which is also called "y".
So the question is asking: when is the y-value constant?
the y-value is constant (not increasing or decreasing) between x = -4 and x = 0. So the interval is (-4, 0)
The degree is the biggest power present in an equation.
The first is 6.
The second is 5.
Be careful with equations that aren't fully expanded.
Hope this helps
Side opposite 30 = 1/2(hypotenuse) ⇒ 1/2(17) = 8.5
Side opposite 60 =

(side opposite 30) ⇒

= 14.72 when rounded 2 decimal places