1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Nitella [24]
3 years ago
15

During the construction of a road a mountain of 250 metres in height, through it will be the construction of a tunnel. The top o

f the mountain is seen at an angle of 48°30' from a point P at one end of the mountain, and at an angle of 38° from the other end. How long will this tunnel be?

Mathematics
1 answer:
raketka [301]3 years ago
3 0

Answer:

542.74 m

Step-by-step explanation:

Tan(48.3) = 250/a Multiply by a

a*tan(48.3) = 250 Divide by tan(48.3)

a = 250/Tan(48.3)

a =222.74

By a similar method b = 250/tan(38)

b = 319.99'

The total length =542.73 meters

You might be interested in
Im too lazy to figure out the mean. Someone Pls do it.
Zinaida [17]
3,929.14 rounded to the nearest hundredth
3 0
3 years ago
Read 2 more answers
The length of a rectangle is 2 cm longer than its width. if the perimeter of the rectangle is 40 cm , find its area.
rusak2 [61]

width = w

 length = w +2

perimeter = 2L + 2w

40 = 2(w+2) + 2w

40 = 2w+4 +2w

40 = 4w+4

36=4w

w=36/4 = 9

with = 9

length = 9+2 = 11


 area = l x w = 9*11 = 99 square cm

4 0
4 years ago
Find the Surface area for the prisms.
Anika [276]

Answer:

8 cm

Step-by-step explanation:

7 0
3 years ago
85001 round to the nearest ten thousand
sveticcg [70]
95000 Is rounded to the nearest ten thousands
7 0
4 years ago
Read 2 more answers
HELP ME PLEASEEEEEEEEE
Nataliya [291]

Answer:

a)This solution matches with the original equation and its solution

b)This solution matches with the original equation and its solution

c)This solution <em><u>does not</u></em> match with the original equation and its solution. Though the solution is correct the original given equation cannot be used.

d)This solution <em><u>does not</u></em> match with the original equation and its solution. Though the solution is correct the original given equation cannot be used.

Step-by-step explanation:

i) Which scenarios can be solved by 1.5x +  2.25 = 12.75. Select all that apply and note the given solution.

therefore 1.5x = 10.5   therefore x  = 7

a) let the number be x

   therefore if \frac{3}{2} x + \frac{9}{4}  = \frac{51}{4}  \Rightarrow  1.5x + 2.25 = 12.75  then the number x = 7.

 This solution matches with the original equation and its solution

b.) If a taxi driver charges a flat fee of $2.25 and $1.5 per mile, where the

     number of mile = x, then the number of miles Juan can ride the taxi for

     $12.75 is x = 7.

This solution matches with the original equation and its solution

c)if nine quarters of a number, say x, increased by three halves is fifty one

   quarters, the number is x = 5,

   \frac{9}{4} x + \frac{3}{2}  = \frac{51}{4}  \Rightarrow  9x = 51 - 6 = 45 \therefore x = 5

This solution <em><u>does not</u></em> match with the original equation and its solution. Though the solution is correct the original given equation cannot be used.

d.)   If a taxi driver charges a flat fee of $1.5 and $2.25 per mile, where the

     number of mile = x, then the number of miles Juan can ride the taxi for

     $12.75 is x = 5.

2.25x + 1.5  = 12.75  \Rightarrow  9x = 51 - 6 = 45 \therefore x = 5

This solution <em><u>does not</u></em> match with the original equation and its solution. Though the solution is correct the original given equation cannot be used.

3 0
4 years ago
Other questions:
  • 12+10 divided by 6? with steps. i know what it is i just need steps.
    13·1 answer
  • John was 40 years old in 1995 while his father was 65.In what year was John exactly half his father's age?​
    11·2 answers
  • Can someone answer this for me please?
    5·1 answer
  • Help protect due tomorrow
    5·2 answers
  • if leslie moves her money into an account that pays 8 percent compounded annually for 5 year(s), the amount of money that will a
    15·2 answers
  • Nadia's bookshelf contains 10 fiction books, two reference books, and five nonfiction books.
    6·2 answers
  • 42 is what percent of 50 and why?
    14·2 answers
  • What is the solution to the equation below? 3x + 29.5 = - 75.5
    5·1 answer
  • A salesperson at an electronics store earns $42,000 annually plus $150 in commission for every product sold. Write an equation t
    7·1 answer
  • Find the size of angle XYZ. Give your answer to 1 decimal point. Z 13cm X 4cm Y
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!