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Klio2033 [76]
3 years ago
10

Solve the following 16,17,18,19,20.​

Mathematics
1 answer:
Shtirlitz [24]3 years ago
6 0

Answer:

show your work

Step-by-step explanation:

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PLEASE HELP ME WITH THIS
Vedmedyk [2.9K]
Let's start with the drawing. (See the drawing at the bottom of this answer.)

Draw a vertical segment.
At the bottom endpoint, draw a horizontal segment to the right.
The angle at the bottom left is a right angle.
So far this should look like an "L" shape.
The vertical segment is the wall, and the horizontal segment is the ground.

Now draw a segment that connects the right endpoint of the horizontal segment and the top endpoint of the vertical segment. Now you have a right triangle. The diagonal segment represents the ladder. The diagonal segment is the hypotenuse. Label the diagonal segment, the hypotenuse, 12 ft.
Label the vertical segment, the wall, 11.8 ft.

The angle at the bottom right is A. It is the angle the ladder makes with the ground. This angle cannot be greater than 75 degrees.

Now we use trigonometry to find the measure of angle A.

For this right triangle, and its angle A, you have a hypotenuse that measures 12 ft, and an opposite leg that measures 11.8 ft.
We need to find angle A.
The trig ratio that relates the opposite leg and the hypotenuse is the sine.

\sin A = \dfrac{opp}{hyp}

\sin A = \dfrac{11.8}{12}

\sin A = 0.98333

Since the sine of angle A equals 0.98333, we use the inverse sine function to find the measure of angle A.

A = \sin^{-1} 0.98333

A = 79.5^\circ

Answer:
The angle the ladder makes with the ground is 79.5 degrees which is greater than 75 degrees, so the ladder it will be unsafe in this position.


           |\
           |  \
           |    \
           |      \
opp = |         \ hyp = 12
= 11.8  |           \
           |             \
           |_______\  A
3 0
3 years ago
Another fairly simple one, pretty much a free Brainliest and 30 points.
Alchen [17]

Answer:

Solution given:

8\frac{7}{12}-3\frac{1}{3}=\frac{8*12+7}{12}-\frac{3*3+1}{3}

=\frac{103}{12}-\frac{10}{3}

taking lcm

=\frac{103-10*4}{12}=\frac{63}{12}=\frac{21}{4}=5\frac{1}{4}

7 0
2 years ago
Read 2 more answers
I need help Raj plotted point L in the coordinate plane below.
Ivenika [448]

Answer:

1÷3=4/,*_,^5,%"2#'d3cfcfj3c2kdxm2e

Step-by-step explanation:

wdcfeb5hnj6nefcs

6 0
3 years ago
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I need help!!! Find m<2.
stellarik [79]

Answer:

Step-by-step explanation:

m∠2 = 180° - 113° = 67°

8 0
3 years ago
What is the measure of the highlighted (middle) angle, in degrees?
Neko [114]
2x+5x+67.3=180
7x=112.7
X=16.1
16.1 times 5
80.5
5 0
3 years ago
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