Answer:
slope = 5/7
Step-by-step explanation:
Given the x-intercept: (-7, 0) and the y-intecept: (0, 5):
We can use the slope formula:
Let (x1, y1) = (-7, 0)
(x2, y2) = (0, 5)
Plug these values into the slope formula:
Therefore, the slope is 5/7
Answer:
x = 15.4
Step-by-step explanation:
Reference angle = 33°
Opposite side reference angle = 10
Adjacent side = x
Therefore, we would apply the trigonometric function, TOA.
Thus:
Tan 33° = Opposite/Adjacent
Tan 33° = 10/x
Multiply both sides by x
x*Tan 33° = 10
Divide both sides by Tan 33°
x = 10/Tan 33°
x = 15.3986496
x = 15.4 (nearest tenth)
Answer:
<h2>C) x = 22</h2><h2 />
Step-by-step explanation:
3x + 3x + 48 = 180
6x = 180 - 48
x = 132 / 6
x = 22
Your initial instinct would be to solve this problem with this solution. 34 x 57 = 1,938 petals.
However, the word estimate is present; therefore, we have to consider that we need to get the approximate number and not the exact number of petals.
There is a general rule regarding estimation or approximation. You have to round it to the nearest place you have based on. In this problem we round it off to the nearest tens place.
If the number is below 5, you round it down: 34 is rounded down to 30 petals.
If the number is above 5, you round it up: 57 is rounded up to 60 sunflowers.
Thus, your equation would be : 30 x 60 = 1,800 petals (best estimate)
Answer: 54.4 mph
Step-by-step explanation:
First find the distance to the train station. If it took Carlos 4 hours to come back driving at 68 mph, the distance is:
= Speed * time
= 68 * 4
= 272 miles
This means that Carlos drove for 5 hours to cover 272 miles the first time. His average speed was therefore:
= Distance / time
= 272/5
= 54.4 mph
