Answer:
(6.2, 4.5)
Step-by-step explanation:
That point (P) will be the weighted average of the end points, where each weight is the proportion of the segment at the end farthest from the point:
P = (3A +1B)/(3+1)
= (3·7.5 +2.3, 3·4.2 +5.4)/4
= (24.8, 18)/4
= (6.2, 4.5)
Answer:
<em> Length of guy wire is 590.6 ft</em>
Step-by-step explanation:
The complete question is
A radio transmission tower is 210 feet tall. How long should a guy wire be if it is to be attached 8 feet from the top and is to make an angle of 20° with the ground. Give your answer to the nearest tenth of a foot.
height of tower = 210 ft
8 ft fro the top leaves 210 - 8 = 202 ft to the ground
This is an angle of elevation problem
the opposite is 202 ft
hypotenuse = ?
angle is 20°
using sin ∅ = opp/hyp
sin 20° = 202/hyp
0.342 = 202/hyp
hyp = 202/0.342 = <em>590.6 ft this is the length of the guy wire</em>
Answer:
Slope = -3/7
Step-by-step explanation:
The formula for slope is y2-y1/x2-x1.
Substitute for the points.
5-2/3-10 = -3/7
Answer:
<h2>Mjhs needs 189.25 square feet of blue paint, approximately.</h2>
Step-by-step explanation:
As you can observe in the image attached, the basketball court is a composite figure formed by a rectangle and half of a circle.
The rectangle has dimensions of 10 feet by 15 feet. The circle has a diameter of 10 feet.
The expression of this composite area would be
Where and . Replacing these values, we have
Therefore, Mjhs needs 189.25 square feet of blue paint, approximately.
The equation line passing through a point is understood to be parallel to the x-axis. In this case, the equation should be expressed as y = b where b is any number. Since y = 14 in the point (1,14), the equation of horizontal line passing through this point is y = 14.