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ohaa [14]
3 years ago
6

Question 6

Mathematics
1 answer:
aniked [119]3 years ago
6 0

Answer:

6

Step-by-step explanation:

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From a distance of 42 feet from the base of a building, the angle of elevation to the top of the building is 67 degrees. Estimat
Nataliya [291]
A diagram would surely help here.  But imagine that you stand at spot A and someone finds that your distance from the base of the building is 42 feet.  Call this point B.
 
Imagine a vertical line from that spot, straight up.  Label the top of this line C.

The acute angle at A is 67 degrees.  You want to find the height of the building, which would be the length of the "opposite side of triangle ABC."
The length of the "adjacent side of triangle ABC" would be 42 feet.

We don't know the length of the hypotenuse, altho' we could easilyl calculate it using the Pyth. Them.

We choose the tangent function to solve for the height of the building (which is the length of the opposite side. 

                                                                         height
By definition, tangent (67 degrees) = -------------------------------------
                                                                       42 feet

Find tan 67.  Multiply your result by 42 feet.  This product is the height of the building.
7 0
3 years ago
Find the next item in the pattern. 2,5,8,11,14
Stels [109]

The next item in the pattern would be 17

5 0
3 years ago
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Please find how to prove that
vovikov84 [41]
Answer:

1) Angle L = angle J : Given
2) Line KJ || line LM: Given
3) angle KML = KMJ: They are alternate interior angles
4) 180 - angle L - angle KLM = angle LKM
180 - angle J - angle KJM = angle JMK
5) because you know two angles of triangle, you know the third. Because angle L = angle J and angle KLM = angle angle KJM, then the remaining angle LKM must equal the remaining angle JMK
3 0
3 years ago
A 4cm×6cm rectangle sits inside a circle with a radius of 11cm. what is the shaded region?
Elenna [48]

Answer:

The area of the shaded region is 355.94\ cm^{2}

Step-by-step explanation:

we know that

The area of the shaded region is equal to the area of the circle minus the area of rectangle

so

A=\pi r^{2}-bh

we have

r=11\ cm

b=4\ cm

h=6\ cm

assume

\pi =3.14

substitute

A=\pi (11^{2})-4*6=121 \pi-24=121*(3.14)-24=355.94\ cm^{2}

5 0
3 years ago
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In a certain game of 50 questions, the final score is calculated by subtracting twice the number of wrong answers from the total
liraira [26]
Well, you start at 50. For every wrong answer you lose 3 points. Lost 15, so there were 15/3=5 wrong answers.
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