The correct answer to the following questions is this:
<span>Abbys school has a track it takes eight laps around the track to run 1 mile.
This means that you have to run 8 laps in order to complete a 1 mile.
1 lap = 1/8 mile
A. What fraction of a mile is two laps around the track? Show your work or explain how you know
Since 1 lap = 1/8 mile, then 2 laps would be 2/8 mile or 1/4 mile.
Abby ran 3 1/8 miles on Monday and 1 3/8 miles on Tuesday.
B. What was the total number of miles every right on Monday and Tuesday? show your work or explain how you know
On Monday, she ran 3 1/8 miles, 1 3/8 miles on Tuesday. The total number of miles is 3 1/8 + 1 3/8 = (3+1) (1/8 + 3/8) = 4 4/8 = 4 1/2 miles.
C. How many total lasted gym run on Monday and Tuesday? Show your work or explain how you know
This seems not clear regarding the gym.
</span>
The age of Blain is 23 years old
<h3><u>Solution:</u></h3>
Let the age of Blain be "a" and age of Jillian be "b"
Given that Blain is two years older than three times Jillians age
So we can frame a equation as:
age of blain = 2 + 3(age of Jillian)
a = 2 + 3b ----- eqn 1
Also given that Jillian is also 16 years younger than Blain
Age of Jillain = Age of Blain - 16
b = a - 16 ---- eqn 2
Substitute eqn 2 in eqn 1
a = 2 + 3(a - 16)
a = 2 + 3a - 48
a - 3a = -46
-2a = -46
a = 23
Thus the age of Blain is 23 years old
It’s an obtuse triangle, this is because none of the sides/angles are equal to one another. Hope this helped you
To solve this, since you know that h(x) is 11 and that it also equals -4x+3, you set them equal to one another which would look like this: 11=-4x+3.
Then, to solve for x, which is what I am assuming the question is asking, you would subtract 3 from both sides to isolate -4x, which would result in this:
-4x=8
Now, to solve for x, divide both sides by -4, and you get your answer which is x=-2
Do do this problem, you need to use the Law of Cosines!
You are trying to find length b, so
b^2 = a^2 + c^2 - 2ab cos B
b^2 = 22^2 + 28^2 - 2(22)(28) cos 34
b^2 = 484 + 784 - 1232 cos 34
b^2 = 1268 - 1232 cos 34
b^2 = 246.6257
b = 15.7 yards
Hope this helps!
