x<<span>−<span>3
hope this helps! (:</span></span>
Answer:
A, B , C do NOT use appropriate compatible numbers to estimate the total number of hours he worked.
Step-by-step explanation:
Malik earned $2,344.55
Wages per hour $ 35.50
No of hours = Total wages / wages per hour= $2,344.55/ 35.50 = 66.043
<em>Lets analyze all the options</em>
A. 2,400 ÷ 30= 80
B. 2,400 ÷ 40= 60
C. 2,000 ÷ 40= 50
D. 2,000 ÷ 30= 66.67
A, B , C do NOT use appropriate compatible numbers to estimate the total number of hours he worked.
<u><em>Only D uses appropriate compatible numbers to estimate the total number of hours he worked.</em></u>
Answer:
question (1)
height of building = 308 ft
question (2)
cos 67.11 = 7/18
Explanation:
question (1)
Taking a look at the triangle, we can see that it is a right-angled triangle. This means that we can apply the special trigonometric identities.
The one we will use here is:
tan Θ = opposite / adjacent
where:
Θ = 72
the opposite side is the height of the building
the adjacent side = 100 ft
Substitute to get the height as follows:
tan(72) = height / 100
height = tan(72)*100 = 307.76 which is approximately 308 ft
question (2):
We are given that:
cos Θ = 7/18
therefore:
Θ = cos^-1(7/18)
Θ = 67.114
approximating to the nearest tenth, we would find that:
Θ = 67.11°
Hope this helps :)
Answer:
The time it will take Kalin will be 2h 33m
Step-by-step explanation:
First we will transform the numbers to work more comfortable
d = distance
v = velocity
v = 3 2/3 miles per hour = 3.33 mi/h
d = 4 1/4 milles = 4.25 mi
As the time it takes to go to the beach and back asks us, we have to do the distance 2 times
d = 4.25 mi * 2
d = 8.5 mi
To calculate the time it takes, we simply have to divide the distance by the velocity
t = d/v
t = 8.5 (mi) / 3.33(mi/h)
t = 2.55h
if we also want to express the minutes we can divide after the point .55 by 100 and multiply it by 60
(55/100)*60 = 33
t = 2h 33m
The time it will take Kalin will be 2h 33m
Answer:
Han's younger sister accelerated at a rate of 0.5 meters per square second during that time.
Step-by-step explanation:
Let suppose that Han's younger sister accelerates at constant rate, then, acceleration (
), measured in meters per square second, can be calculated by the following equation:
Where:
, 
- Initial and final times, measured in seconds.
, 
- Initial and final speeds, measured in meters per second.
If we know that 
, 
, 
and 
, the acceleration of the younger sister is:
Han's younger sister accelerated at a rate of 0.5 meters per square second during that time.
