Answer:
36 degrees
Step-by-step explanation:
Subtract 54 from 90
If he fills 5.9 bags for 18 hours, he will have filled a total of 106.2 bags
Answer: Brielle will run the marathon faster.
Brielle = 104.8 minutes
Joshua = 157.2 minutes
Step-by-step explanation:
Speed rate = distance /time
Brielle = 1.25 /10 = 0.125 miles per minute
Joshua = 1.5/18 = 0.083333 =1/12 miles per minute
Since 0.125 (Brielle) > 1/12 (Joshua)
Brielle will run the marathon faster.
To calculate the time that takes each one to run the entire race (13.1 miles)
Time= distance / speed
- Brielle = 13.1 /0.125 = 104.8 minutes
- Joshua = 13.1 / (1/12)= 157.2 minutes
Feel free to ask for more if needed or if you did not understand something.
Answer:
Yes, lines M and N intersect because their slopes are different.
Step-by-step explanation:
First, we can start out by finding the slope of Line M and Line N. The slope formula is (y_2 - y_1)/(x_ 2- x_1)
Slope of Line M:
(3--11) / (3--4)
(3+11) / (3+4)
14/7
2
Now we know that the slope of Line M is 2.
Slope of Line N:
(9--2) / (-6-5)
11/-11
The slope of Line N is -1!
Since the slopes of Line N and M are different, they intersect. The answer is Yes, lines M and N intersect because their slopes are different.
If the slopes were the same, Line N and M would NEVER intersect because they are parallel.
Hope this helps
<u>Part 1) </u>To find the measure of ∠A in ∆ABC, use
we know that
In the triangle ABC
Applying the law of sines

in this problem we have

therefore
<u>the answer Part 1) is</u>
Law of Sines
<u>Part 2) </u>To find the length of side HI in ∆HIG, use
we know that
In the triangle HIG
Applying the law of cosines

In this problem we have
g=HI
G=angle Beta
substitute


therefore
<u>the answer Part 2) is</u>
Law of Cosines