Answer:
- Kyle, 67 mph
- Cooper, 62 mph
Step-by-step explanation:
Their difference in distance is 87.1 -80.6 = 6.5 miles. Since their difference in speed is 5 mph, it took them (6.5 mi)/(5 mi/h) = 1.3 hours to achieve that separation.
Kyle's speed is 87.1 mi/(1.3 h) = 67 mi/h.
Cooper's speed is 80.6 mi/(1.3 h) = 62 mi/h. (5 mi/h slower)
Kyle is driving 67 mph; Cooper is driving 62 mph.
_____
<em>Alternate solution</em>
The ratio of their speeds is 87.1/80.6 = 67/62. The difference in ratio units happens to equal their difference in miles per hour, so their speeds must be 67 and 62 miles per hour.
Answer:
<em>20,845 square meters</em>
<em />
Step-by-step explanation:
We can use the formula for area of a triangle to figure this out easily.
Area = ![\frac{1}{2}abSinC](https://tex.z-dn.net/?f=%5Cfrac%7B1%7D%7B2%7DabSinC)
Where
a and b are the two side lengths of the triangle given, and
C is the ANGLE BETWEEN the two sides
<em>Clearly, we see that one side is 218.5 and other is 224.5 and the angle between them is given by 58.2 degrees. Now we simply substitute these values into the formula and get the area:</em>
<em>
</em>
<em />
<em>Rounding, we get the area to be 20,845 square meters</em>
Answer:
- A
- Multiplying by 5
- Multiplying by 5
- Multiplying by 12.5
- Multiplying by 2
Step-by-step explanation:
Answer:
Simplifying
5(6.2a + 9.8) = 18
Reorder the terms:
5(9.8 + 6.2a) = 18
(9.8 * 5 + 6.2a * 5) = 18
(49 + 31a) = 18
Solving
49 + 31a = 18
Solving for variable 'a'.
Move all terms containing a to the left, all other terms to the right.
Add '-49' to each side of the equation.
49 + -49 + 31a = 18 + -49
Combine like terms: 49 + -49 = 0
0 + 31a = 18 + -49
31a = 18 + -49
Combine like terms: 18 + -49 = -31
31a = -31
Divide each side by '31'.
a = -1
Simplifying
a = -1
Answer:
8.5
Step-by-step explanation: