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hjlf
2 years ago
9

given the information in the picture which trigonomic identity can be used to solve for the height of the blue ladder that is le

aning against the building​

Mathematics
2 answers:
PolarNik [594]2 years ago
5 0
  • Height of tower can be taken as perpendicular
  • Base is already given

And we know

\\ \tt\hookrightarrow tan\theta=\dfrac{Perpendicular}{Base}

\\ \tt\hookrightarrow tan47=\dfrac{P}{30}

worty [1.4K]2 years ago
4 0

Answer:

cosine rule - cos = \frac{a}{h}

Step-by-step explanation:

Here the ladder is acting as hypotenuse and base as adjacent.

Formula: cosθ = \frac{adjacent}{hypotenuse}

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The distance around a meteor crater is 9,033ft. Find the diameter of the crater. Use 22/7 for pi. Round to the nearest tenth
Aleonysh [2.5K]
<span>We know that the circumference of a circle is equal to pi times the diameter of the circle. Therefore, assuming this crater to be circular in shape, we can divide the circumference by pi, in this case 9033*7/22, yielding an answer of 2874.1 feet after rounding.</span>
3 0
3 years ago
A typical running track is an oval with 74-m-diameter half circles at each end. a runner going once around the track covers a di
denpristay [2]

Answer:

Her centripetal acceleration during the turn at each end of the track is 0.432\, \frac{m}{s^{2}}

Step-by-step explanation:

Total distance covered in one round , D= 400 m

Time taken to cover one round , T = 1 min 40 s = 100 sec

Speed of runner , V=\frac{D}{T}=\frac{400}{100}\, \frac{m}{s}= 4.0\, \frac{m}{s}

Now centripetal acceleration is given by

a_c=\frac{V^{2}}{R}

where V= 4.0\frac{m}{s}

Radius, R= \frac{Diameter}{2}=\frac{74}{2}m=37\, m

\therefore a_c=\frac{4^{2}}{37}\, \frac{m}{s^{2}}=0.432\, \frac{m}{s^{2}}

Thus her centripetal acceleration during the turn at each end of the track is 0.432\, \frac{m}{s^{2}}

4 0
4 years ago
Read 2 more answers
Please solve this ASAP!!! :)
kherson [118]

Answer:

1). Area = 37 cm²

2). Area = 120 cm²

Step-by-step explanation:

Figures in the picture attached are the examples of composite figures.

1). Area of the composite figure = Area of rectangle A + Area of rectangle B

   Since area of rectangle = Length × width

   Area of rectangle A = 8 × 2 = 16 cm²

   Area of rectangle B = 3 × 7 = 21 cm²

   Area of the composite figure = 16 + 21 = 37 cm²

2). Area of the composite figure = Area of C + Area of D

                                                     = (3×4) + (9×12)

                                                     = 12 + 108

                                                     = 120 cm²

4 0
3 years ago
Counting from 1 to 46, how many 4s will you encounter? 8 10 11 12 14
Ray Of Light [21]

Answer:

11

Step-by-step explanation:

4=1

14=2

24=3

34=4

40=5

41=6

42=7

43=8

44=9

45=10

46=11

You will encounter 11 4s.

5 0
3 years ago
On the last test, 40% of all sudents in Mrs. Well's class got an A. How many students are in this calss if there were 28 A's on
Murljashka [212]

Answer:

70 students

Step-by-step explanation:

If 40% of all students in Mrs. Well's class got an A, and 28 students got an A, that means that 28 = 40%

To find the total number of students, we need to find 100%

40% = 28

Divide by 4

10% = 7

Multiply by 10

100% = 70

So there are 70 students in Mrs. Well's class.

Hope this helps you! :D

4 0
3 years ago
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