Answer:
D
Step-by-step explanation:
Dereck and Sam are standing 3.1 feet apart.
The situation forms two right angle triangle.
<h3>What is a right angle triangle? </h3>
A right angle triangle is a triangle that has one of its angles as 90 degrees.
Derek looks at a 10 foot basketball goal with an angle of elevation of 29°.
Sam looks at the goal with an angle of elevation of 43°.
Sam is directly in front of Dereck. Therefore,
Dereck distance from the base of the basket ball can be found as follows:
tan 29 = opposite / adjacent
opposite side = 10 ft - 5.83 ft = 4.17 ft
tan 29 = 4.17 / x
x = 4.17 / 0.55430905145
x = 7.52287913948
x = 7.523
Sam distance from the base of the basket ball can be found as follows
tan 43 = 4.17 / y
y = 4.17 / 0.93251508613
y = 4.47177752084
y = 4.471
There feet apart = 7.523 - 4.471 = 3.052 = 3.1 feet
learn more on elevation here:brainly.com/question/24442138?referrer=searchResults
Answer:
The correct answer is:
- <u>30 = 10 + 3(h - 2)</u>
<u>30 = 10 + 3h - 6</u>
<u>26 = 3h</u>
<u>h = 8.67</u>
Step-by-step explanation:
We're gonna calculate by our part the hours a new costumer can rent a bike and pay a total of $30, using the original function:
Where:
- <em>f (h) = Total cost.
</em>
- <em>h = the number of hours.</em>
We know The total money spent must be $30, by this reason, the function change to:
- <u>30 = 10 + 3(h - 2)</u>
Now, we must clear the h variable, by this reason, we multiply 3 by h and 2:
- 30 = 10 + 3*h - 3*2
- <u>30 = 10 + 3h - 6</u>
We pass the 10 and the -6 to the left side of the equality:
- 30 - 10 + 6 = 3h (Remember to change the signs when you do this step)
- <u>26 = 3h</u>
Finally, we pass the 3 to the left side of the equality:
26 / 3 = h (the 3 pass to divide because is multiplying the x)
If we just use two decimals, the number of hours is:
How the third option is the one that shows this calculation and result, that is the correct answer.
Answer:
1489.29
Step-by-step explanation:
Ignore the decimals, and just subtract 375 from 1864. That gives you 1489. Put the decimal values back and you get your answer of 1489.29.
we know that
The LCD is the LCM (least common multiple) of all the denominators.
we have
So
The LCM of 
is 
,
which is the multiple of the highest power of prime factors from all of the given numbers
therefore
the answer is
