There are two possibilities, and we don't know which situation is true.
<em>#1).</em> School is in the middle, between home and grandparents.
Home --------- 3/8 ----------- School --------- 2/8 ------- Grandparents .
If this is true, then in the whole day, Tasha walks
(3/8 + 2/8 + 2/8 + 3/8) = 10/8 = <u>1.25 miles</u> .
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<em>#2):</em> Grandparents house is in the middle, between home and school.
Tasha passes by them on her way to school, and stops there to visit
on her way back home.
Home ------- 1/8 ------- Grandparents ---------- 2/8 ---------- School
If this is true, then in the whole day, Tasha walks
(3/8 + 2/8 + 1/8) = 6/8 = <u>3/4 mile</u> .
There are 104 boys and 91 girls. 104+91=195 104:91 = 8:7
The value of x is 21.
To find this one, we need to know the formula with intersecting lines outside of the circle.
It is that if you subtract the smaller arc from the larger arc and divide by 2, you will have the exterior angle.
Therefore, we can write and solve the following equation:
(5x - 63) / 2 =x
5x - 63 = 2x
3x = 63
x = 21
Answer:
Step-by-step explanation:
<u>Given function:</u>
<u>Rewrite in the standard form:</u>
- f(x) = - 0.0033x² + 0.84x
<u>The maximum height is the vertex with x- coordinate -b/2a, which is:</u>
- x = -0.84/2(-0.0033) ≈ 127.27
<u>The highest point is:</u>
- f(127.27) = -0.0033(127.27)² + 0.84(127.27) ≈ 53.45 m
<u>The horizontal distance the golf ball travels before hitting the ground:</u>
- f(x) = 0
- - 0.0033x² + 0.84x = 0
- 33x² - 8400x = 0
- x(33x - 8400) = 0
- x = 0- initial point
- 33x = 8400 ⇒ x = 8400/33 ≈ 254.55 m
