Greatest common factor of 24 and 36 is 12. By just observing.
Factoring out 12.
24 = 12*2
36 = 12*3
(24 36) = 12(2 3)
Answer:
Part 5) The length of the ski lift is
Part 6) The height of the tree is 18.12 m
Step-by-step explanation:
Part 5)
Let
A -----> Beginning of the ski lift
B -----> Top of the mountain
C -----> Base of mountain
we have
----> by supplementary angles
Find the measure of angle B
Remember that the sum of the interior angles must be equal to 180 degrees
substitute
Applying the law of sines
substitute
Par 6)
see the attached figure with letters to better understand the problem
<u><em>Applying the law of sines in the right triangle BDC</em></u>
In the right triangle BDC 20 degrees is the complement of 70 degrees
-----> equation A
<u><em>Applying the law of sines in the right triangle ABC</em></u>
In the right triangle ABC 50 degrees is the complement of 40 degrees
-----> equation B
Equate equation A and equation B and solve for x
<u><em>Find the value of BC</em></u>
therefore
The height of the tree is 18.12 m
⇒ Solutions
<span>To solve the given problem you first have to plug all the numbers in....
324 m</span>²<span> is the SA so 324 m</span>²<span> = 2[(5m </span>× <span>12m) + (5m </span>× <span>h) + (12m </span>× <span>h)]
You want to find the variable h so first start by dividing 342 by 2 which will make your equation simpler to solve.
= 162 m</span>²<span> = (5m </span>× <span>12m) + (5m </span>× <span>h) + (12m </span>× <span>h)
Multiply your "lw" together 5m </span>× <span>12m = 60m</span>²<span> and you have
162 m</span>² <span>= 60 m</span>²<span> + (5m </span>× <span>h) + (12m </span>× <span>h)
You can subtract 162 m</span>²<span> by 60 m</span>²<span> leaving 102 m</span>²<span> = (5m </span>× <span>h) + (12m </span>× <span>h)
Then combine your like terms of h....5m </span>× <span>h + 12m </span>× <span>h = 17m </span>× <span>h so you now have
102m</span>²<span> = 17m </span>× <span>h and to get (h) by itself to solve for it you can then divide by 17 leaving 6m = (h) making your height equal 6 meters.
</span>
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(SA/2 - lw) = (h(l+w) ...... Subtract terms not containing (h)
(SA/2 - lw) ÷ <span>(l+w) = (h) ..... Divide by the coefficient of (h) </span>
(324/2 - 5 × 12) ÷ <span>(5+12) = (h) ... Plug in the numbers
</span>
(162 - 60) ÷ <span>17 = (h) = 6 ... Answer </span>
First, we are going to find the painted area of his house. We know that the total area he needs to paint is 4000 square meters, so 4000 is the area of this house. Now, to find the 62.5% of that area, we are going to multiply it by
:
Painted area=
Now, to find <span>rate, in square feet per hour, we are going to divide the painted area by the number of hours:
Rate=</span>
We can conclude that Kyler paints at a rate of
434.78 square feet per hour.
<span>30 is 100 times as great as .3</span>