Answer: 41.1
Step-by-step explanation:
To find the value of x, we need to use SOH-CAH-TOA. SOH-CAH-TOA is since, cosine, and tangent. The O, A, H stands for opposite, adjacent, and hypotenuse respectively.
Looking at the figure, we see 47°. The labelled angles are adjacent and the hypotenuse. Therefore, we use CAH or cosine.
[multiply both sides by x]
[divide both sides by cos(47)]
When we plug that into a calculator, we get x=41.1.
So, we need to do the distance she travelled (21 miles) divided by the rate at which she travelled (4 hours). Therefore, because 21 divided by 4 is 5.25, she biked at a speed of 5.25 mph (Miles per hour). So, if she bikes 5.25 miles every hour we can divide 42 by 5.25 to get the time it would take her to travel 42 miles. Now, 42 divided by 5.25 equals 8, so that means for Shelly to bike 42 miles at her average speed of 5.25 mph, it would take her 8 hours.
-5
a^2-25=0
a^2=25
take the square root of both sides
a=5, and -5
It is always difficult to map the English description of a mathematical expression to the intended actual expression. The best descriptions are those of 1, 2, 3, 5. Descriptions 4 and 6 are apparently intentionally misleading or absurd.
It appears the appropriate selections are ...
1, 2, 3, 5
Answer:
m^2+4m-21
Step-by-step explanation:
(m-3)(m+7)
m^2-3m+7m-21
m^2+4m-21
