Answer:
x = 3
Step-by-step explanation:
First, simplify by subtracting 2x from 6x:
6x - 2x + 8 = 20
4x + 8 = 20
Then, solve for x:
4x + 8 = 20
4x = 12
x = 3
So, the answer is x = 3
Answer:
<em>31 foot</em>
Step-by-step explanation:
Radius of the circular path = 15 feet
Angle of horse travel on a circular path =
radians = Central Angle
Central angle =
degrees = 120°
Distance travelled by the carousel horse on the circular path over an angle of
= Arc length
We can use the formula below to calculate arc length;
°![\frac{Central Angle}{360} = \frac{Arc length}{2\pi r}](https://tex.z-dn.net/?f=%5Cfrac%7BCentral%20Angle%7D%7B360%7D%20%3D%20%5Cfrac%7BArc%20length%7D%7B2%5Cpi%20r%7D)
![\frac{120}{360} = \frac{Arc length}{2\pi\times 15}](https://tex.z-dn.net/?f=%5Cfrac%7B120%7D%7B360%7D%20%3D%20%5Cfrac%7BArc%20length%7D%7B2%5Cpi%5Ctimes%2015%7D)
Arc length =![10\pi](https://tex.z-dn.net/?f=10%5Cpi)
Arc length = 31.4 foot
Arc length (rounded to the nearest foot) = 31 foot
To solve a proportion, you can either use cross products or basic multiplication.
To do cross products, you would multiply 17 (1st numerator) by 6 (2nd denominator).
Do the same with the other diagonal angle, 3 times y.
You'll end up with 3y = 102.
To solve for y, you divide both sides by 3.
102 ÷ 3 = 34
y = 34
The other way you could solve this is to see that 6 is 2 times as large as 3, so you would multiply 17 by 2 to get an equal proportion.
3 × 2 = 6
17 × 2 = 34
Your final answer is y = 34. Hope this helps! :)
Answer:
The probability you see a dolphin or a whale on both days is 0.64
Step-by-step explanation:
Consider the provided information.
It is given that the brochure claims an 80% chance of siting a dolphin or a whale.
The provided claims can be written as: 80% or 0.80
Let say first day you see a dolphin or a whale and same happen on the next day.
Thus, the probability is:
0.80 × 0.80 = 0.64
Probability of see them on both days is 0.64
Hence, the probability you see a dolphin or a whale on both days is 0.64
This does not make any sense I don’t know how to help you out sorry