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GREYUIT [131]
3 years ago
8

2. Another wooden plank is leaning against an outside wall of a building. The bottom of the plank is 9 ft from the wall. The len

gth of the plank is 41 ft. Find each of the following values, and show all your work. (a) Find the value of x. Round to the nearest tenth of a degree. (b) Find the height above the ground where the plank touches the wall. Round to the nearest foot.
Mathematics
1 answer:
siniylev [52]3 years ago
6 0
(A) Find the value of x. Round to the nearest tenth of a degree<span>
Given that the distance of the ground is 9ft.
Length of the plank is 41 ft

In order to get the angle formed between the ground and the foot of the plank,

cos (theta) = ground / plank
cos (theta) = 9 / 41
</span><span>cos (theta) = 0.21951...
</span>theta = cos^-1(<span>0.21951...)
</span><span>theta = 77.3 degrees

</span><span>(b) Find the height above the ground where the plank touches the wall. Round to the nearest tenth of a foot.
</span><span>
Height = square root (plank^2 - ground^2)
Height = square root (41^2 - 8^2)
</span><span>Height = square root (1600)
</span><span>Height = 40

(A) 77.1 Degrees
(B) 40 feet</span>
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MAXImum [283]

Answer:

The answer is

<h2>( \frac{3}{2}  \: , \: 0)</h2>

Step-by-step explanation:

The midpoint M of two endpoints of a line segment can be found by using the formula

M = (  \frac{x1 + x2}{2} , \:  \frac{y1 + y2}{2} )

where

(x1 , y1) and (x2 , y2) are the points

From the question the points are

(-5,6) (8,-6)

The midpoint is

M = ( \frac{ -  5 + 8}{2}  \:  , \:  \frac{6 - 6}{2} ) \\  = ( \frac{3}{2}  \: , \:  \frac{0}{2} )

We have the final answer as

( \frac{3}{2}  \: , \: 0)

Hope this helps you

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Hotdogs come in packages of 10, while rolls come in either 8 or 12. What is the smallest number of packages of each you have to
Maslowich

if the rolls come in 8

then we check which multiples 8 and 10 have in common which is 40

8,16,24,32,40

10,20,30,40

which is 5 packages of rolls and 4 pack of hot dogs

if the rolls are 12

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6 0
2 years ago
Maya has 120 caramel apples to sell. Each caramel apple is covered with one
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Answer:

peanuts=2/5

chocolate chips=1/8

coconut=3/10

rest=sprinkles

2/5+1/8+3/10

lcm=40

<u>16 + 5 + 12</u>

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60/60 -33/60

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9/20 x 120

<h2>=63 apples are covered with sprinkles</h2>

Step-by-step explanation:

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