18 degrees
Step by step I got it right
An angle of elevation of 58 degrees with the ground means
that the angle started at the x-axis and terminates on the first quadrant
region through a counter clockwise direction. Imagining a triangle, the string
of the kite becomes the hypotenuse, the angle 58 degrees is the angle between
the hypotenuse and the ground, and the height of the kite is the side opposite
to the angle.
Therefore, we can calculate for the height of the kite
using the sin function:
sin θ = opposite side / hypotenuse
sin 58 = opposite side / 50 m
opposite side = 50 m * sin 58
opposite side = 42.4 m
<span>Therefore the kite is about 42.4 m above the ground.</span>
Answer:
c = 196
Step-by-step explanation:
To obtain a perfect square trinomial
Add ( half the coefficient of the x- term )² to x² + 28x
x² + 2(14)x + (14)², that is
x² + 28x + 196
= (x + 14)² ← a perfect square
<span>Let us first find a ratio between the quantity of work done by Darnell and Julius. If Darnell does one part of the work, Julius does two parts of the work. That is, their work quantity ratio is 1:2. (Total 3 parts) In other words when Darnell does 1/3 of the work, Julius does 2/3 of the work.
When they work together, the work is completed in 4 hours. 4 hours work is the combined output of 1/3 by Darnell and 2/3 by Julius. If Julius was not there, Darnell would have to work for more than 4 hours.
We already know that Darnell does only 1/3 of a work during any given time. If the given time is 4 hours, how many one-thirds will Darnell require? To find the answer, divide the given number (4 hours in this case) by the given fraction( 1/3 in this case) To divide a number by a fraction, multiply the number by the reciprocal of the fraction. Thus it becomes 4 divided by 1/3 = 4 x 3/1 = 12.
(Another hint: At the rate of 1/3 of a work in one hour, Darnell will needs 3 hours to complete the given task. If the given work is 4 hours long, Darnell will take 4 x 3 hours, that is 12 hours.)</span>
Answer:
70
Step-by-step explanation:
is/of = %/100
Change your is to x so you solve for it, so x/50 = 140/100, now cross multiply and it is now 100x = 7000, divide by 100, so x or (is) is 70
