Answer:
Option 3 is correct.
Height of the equilateral triangle = 17.3 units
Step-by-step explanation:
In equilateral triangle each sides of equal length and an angle of 60 degree.
As per the statement: An equilateral triangle has sides of length 20.
To find the height of the equilateral triangle.
we can draw an altitude to one of the sides in order to divide the triangle into two equal triangles i.,e .
Let sides of an equilateral triangle be b.
The side of an equilateral triangle is an hypotenuse of the triangle.
This triangle is a special triangle, we know that the sides are:
Thus;
b = 2x
Divide both sides by 2 we get;
Height of the equilateral triangle(h) is,
substitute the value of x and b = 20 units we get;
h =
Therefore, the height of the equilateral triangle to the nearest tenth place is, 17.3 units
-5 + 6d + 3 = 34
-2+6d=34
Add 2 to both sides
6d=36
Divide both sides by 6
6d/6=36/6
d=6
Check:
-5 + 6d + 3 = 34
Substitute d=6 into the equation
-5+6(6)+3=34
-5+36+3=34
31+3=34
34=34
Hope this helps! :)
The right answer for the question that is being asked and shown above is that: "y = x/26 and y = -0.030(x-500)2+15,900." A company plans to sell bicycle helmets for $26 each. The company's business manager estimates that the cost, y, of making x helmets is a quadratic <span>function with a y-intercept of 8,400 and a vertex of (500, 15,900).</span>
Answer:
a. 2401.06
b. 37.54%
c. 56.3%
Step-by-step explanation:
hopefully this is right
*note: I think you forgot to convert 4-2 back into yards.
a. Robbie's field of view to the North end includes parts not on the football field. so to find the area of the football field he can see, we need to find:
total area of what Robbie sees - area of non football field Robbie sees
what you shaded represents the total of what Robbie sees. it's a triangle. area of a triangle is 1/2(b)(h) where h is distance away and b is width of view.
total area = 1/2(170)(30.92) = 2628.56 yd
area of non football field (pipe to South end)
= 1/2(50)(9.1) = 227.5
so 2628.56 - 227.5 = 2401.06
b. area found in part a / total area of football field
2401.06 / (120*53.3) = .3754
.3754 * 100 = 37.54%
c. the chance of Robbie seeing the touchdown depends on how much of the (North) endzone he can see.
area of north endzone is
10 * 53.3 = 533.
area Robbie sees in endzone is
2628.56 - 2328.48 = 300.08
(found by total area Robbie sees - area of non endzone Robbie sees)
300.08 / 533 = 0.563
= 56.3%