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ludmilkaskok [199]
3 years ago
15

Sine, cosine, and tangent to calculate the height of the buildings in the diagram below.

Mathematics
1 answer:
DiKsa [7]3 years ago
7 0

Answer: Around 68.0858 m

Step-by-step explanation:

  • Set the height of 37°-53°-90° triangle as x
  • Set the height of 50°-40°-90° triangle as y
  • The horizontal side both triangles share = 35

To find x                            To find y  

tan(37)=\frac{x}{35} \\\\35tan(37)=x\\\\x=26.37439...                     tan(50)=\frac{y}{35} \\\\35tan(50)=y\\\\y=41.7113757...

To find the height of the building, add the x-value and y-value:

x+y=26.3744+41.7114=68.0858  

<em>I hope this is correct o_o</em>

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Ricky is on a bicycle trip.every 4 days he bikes 230km. If Rick keeps his same pace for 16 days how many kilometers will he bike
Arlecino [84]
He will bike 920 km because 4 days time 4 equals 16 days and 230 km times 4 equals 920 km.
plz give mw brainliest if this helped
3 0
2 years ago
Read 2 more answers
The sum of two integers is 627, and the larger number is 27 more than 7 times the smaller number. Find the two integers.
Alex777 [14]

Answer:

75 and 552 =627

Step-by-step explanation:

First=x

Second 7x+27

x+ 7x+27= 627

8x+27=627

8x=600

x=75

75*7+27 =525

525+27 = 552

7 0
3 years ago
4x−3=16=4(x−3)=16 <br> Do they have the same solution?
AnnZ [28]

Answer:

no

Step-by-step explanation:

4x -3 = 16

x=19/4

4(x-3) = 16: Distribute the number in the parenthesis with 4 and you get:

4x-12=16

x=7

4x-12=16 is not the same as 4x-3=16

Therefore they do not have the same solution.

5 0
3 years ago
Read 2 more answers
Dilations… please help I will give you brainless
DochEvi [55]

Answer:

The scale factor is 0.5

Step-by-step explanation:

Divide.

2/1=2

4/2=2

4/2=2

8/4=2

2/1=2

5/1.25=2

Now then, since this is a shrinking factor, divide 1 by the common outcome from the last section (2) to get 0.5

4 0
2 years ago
An employer has a staff of eighty actuaries, ten of whom are student actuaries. A student actuary is allowed a total of ten week
sergiy2304 [10]

Answer:

0.1111

Step-by-step explanation:

From the given information;

Number of staffs in the actuary = 80

Out of the 80, 10 are students.

i.e.

P(student actuary) = 10/80 = 0.125

number of weeks in a year = 52

off time per year = 10/52 = 0.1923

P(at work || student actuary) = (50 -10/52)

= 42/52

= 0.8077

P(non student actuary) = (80 -10)/80

= 70 / 80

= 0.875

For a non-student, they are only eligible to 4 weeks off in a year

i.e.

P(at work | non student) = (52-4)/52

= 48/52

= 0.9231

∴

P(at work) = P(student actuary) × P(at work || student actuary) + P(non student actuary) × P(at work || non studnet actuary)

P(at work) =  (0.125 × 0.8077) + ( 0.875 × 0.9231)

P(at work) = 0.1009625 + 0.8077125

P(at work) = 0.90868

Finally, the P(he is a student) = (P(student actuary) × P(at work || student actuary) ) ÷ P(at work)

P(he is a student) = (0.125 × 0.8077) ÷ 0.90868

P(he is a student) = 0.1009625 ÷ 0.90868

P(he is a student) = 0.1111

5 0
2 years ago
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