<u><em>Answer:</em></u>
∠BOY = 38°
<u><em>Explanation:</em></u>
<u>From the diagram, we can note that:</u>
m∠TOY = m∠TOB + m∠BOY ...................> equation I
We are given that ray OB bisects the angle
<u>Therefore:</u>
m∠TOB = m∠BOY
<u>Substitute in equation I:</u>
m∠TOY = m∠TOB + m∠TOB = 2m∠TOB ............> equation II
<u>We are given that:</u>
m∠TOY = 8x-36
m∠TOB = x+24
<u>Substitute with the givens in equation II and solve for x:</u>
m∠TOY = 2m∠TOB
8x - 36 = 2(x + 24)
2(4x-18) = 2(x+24)
4x - 18 = x + 24
3x = 42
x = 14
<u>This means that:</u>
m∠TOB = x + 24 = 14 + 24 = 38°
<u>Since </u>
m∠TOB = m∠BOY
<u>Therefore:</u>
m∠BOY = 38°
<u>Check:</u>
m∠TOY = 8x - 36 = 8(14) - 36 = 76° which is twice m∠TOB
Hope this helps :)
The number in the ten thousand place must be multiplied by 10 compared to the number in the thousandth place.
<span>So in 22000 2 is multiplied by 10000 = 20000 and 2 is multiplied by 1000 = 2000.</span>
Answer:
<em>3 seconds</em>
Step-by-step explanation:
Given the height modelled by the function
h(t) = -16t² + 16t + 96
The hit the water at h(t) = 0
0 = -16t² + 16t + 96
Divide through b y -16
0 = t² - t - 6
t² - t - 6 = 0
t² - 3t+2t - 6 = 0
t(t-3)+2(t-3) = 0
t+ 2 = 0 and t - 3 = 0
t = -2 secs and t = 3secs
Since t can't be negative, hence;
t = 3 secs
<em>hence it will take 3 seconds until Devon hit the water</em>
Answer:
120 cm^3
Step-by-step explanation:
1. 9 times 5 =45
2. 45 divided by 3 = 15
3. 15 times 8 = 120
