Since the measures of the two angles are in the ratio 8:1, this means the bigger angle's is 8x and the smaller angle is x. Since they are complementary, they add to 90°, so you create the equation 8x+x=90°. This can be simplified to 9x=90°. Then, you divide 90 by 9 to get 10. This means x=10. Next, you replace x with 10 to find the measure of the bigger angle. 8x10=80, so the larger angle is 80°.
Solve for x by simplifying both sides of the equation, the isolating the variable. x=-8
Answer:
<u>400 miles</u>
Step-by-step explanation:
2 hours = 100 miles
Therefore, he will drive 4 times the distance given 4 times the time taken.
=> 100 x 4
=> <u>400 miles</u>
Answer:
<em><u>First part: </u></em><em><u>0.35 miles per minute</u></em>
<em><u>Second part: </u></em><em><u>3.5 miles in 10 minutes</u></em>
Step-by-step explanation:
<em>Think about this as a fraction. Fractions can't be added nor subtracted unless they share the same denominator.</em> So for this case, we have to turn hours into minutes. So 21 mph becomes 21 miles per 60 minutes. Then, we divide 60 from each side to find the speed per minute. 21/60 = 0.35, so the answer to the first part is <u>0.35 miles per minute</u>.
<u>Using what we got</u>, we can answer the second part of the distance covered in 10 minutes. So, we just <em><u>multiply</u></em> 0.35 by 10 which is <u>3.5 miles covered in 10 minutes</u>.
Answer:
from ride one to two its 300 then from two to three its 400 then from three to four its 300 then from four to three its 300.
so add it all up
300 + 300 + 300 + 400 = 1,300 yards and that is you answer
hope i helped and have a good day!