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nadezda [96]
3 years ago
14

Hey surveyor is measuring the distance across a small lake. He has set up his transit on one side of the lake 150 feet from a Pi

lling that is directly across from a peer on the other side of the lake. From his transit, The angle between the pilling in the pier is 60° what is the distance between the pilling in the pier to the nearest foot
Mathematics
1 answer:
AleksAgata [21]3 years ago
4 0

Answer: 87 feet

Step-by-step explanation:

The angle between the pilling is 60°

The adjacent side of the right angle is 150

So let the distance between the pilling be y, that is opposite side.

Opposite / adjacent = tan (60°)

y / 150 = tan (60)

y × tan (60°) = 150

Divide both side by tan (60°)

y = 150 / tan (60°)

y = 150 / 1.7321

y = 87 feet

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$12 meal; 4.5% tax find total cost to the nearest cent
Lemur [1.5K]

Answer:

12.54

Step-by-step explanation:

just multiply 12×0.045 and add the 12.

I hope and this helps.

Have a good day.

Good luck

8 0
3 years ago
Read 2 more answers
I need help can you help me please
ozzi
Just multiple them together and u get 693
6 0
3 years ago
List all prime fractors of the composite number 50
Misha Larkins [42]
The factors of 50 are 1, 2, 5, 10, 25 and 50.<span> The factors of a number can be found by determining which numbers evenly divide into a given number.</span>
3 0
3 years ago
Tickets to a concert cost $2 for children, $3 for teenagers and $5 for adults. When 570 people attended the concert, the total t
Ilia_Sergeevich [38]

Answer: 220

<u>Step-by-step explanation:</u>

Children (x): $2

Teens (y): $3, \frac{3}{4}x

Adults: (z): $5

Quantity: x + y + z = 570  ⇒  x + \frac{3}{4}x + z = 570  ⇒ 1.75x + z = 570  

Cost: 2x + 3y + 5z = 1950  ⇒  2x + 3(\frac{3}{4}x) + 5z = 1950  ⇒  2x + 2.25x + 5z = 1950  ⇒  4.25x + 5z = 1950

Qty:    1.75x +  z =  570  →  5(1.75x +  z =  570)  →    8.75x + 5z = 2850

Cost: 4.25x + 5z = 1950 → -1(4.25x + 5z = 1950 → <u> -4.25x - 5z</u> = <u>-1950 </u>

                                                                                  4.50x        =   900

                                                                                          x       =    200

Teens (y): \frac{3}{4}x

           y = \frac{3}{4}(200)

             = \frac{600}{4}

             = 150

Quantity: x + y + z = 570  

              200 + 150 + z = 570

                     350     + z = 570

                                    z = 220


6 0
3 years ago
Ada makes sparkling juice by mixing 2 cups of sparkling water with every 4 cups of apple juice. Let s represent the number of cu
Dafna11 [192]

Answer:

s = 2j

Step-by-step explanation:

Given - Ada makes sparkling juice by mixing 2 cups of sparkling water

            with every 4 cups of apple juice. Let s represent the number of

            cups of sparkling water and j represent the number of cups of

             apple juice.

To find - Write an equation that shows how s and j are related.

Proof -

Let total number of cups of sparkling water make = s

     Total number of cups of apple juice make = j

Now,

Given that, Ada makes sparkling juice by mixing 2 cups of sparkling water with every 4 cups of apple juice.

⇒2s = 4j

⇒s = 2j

∴ we get

Ada can makes sparking water by mixing 2j cups of sparking water with every j cups of apple juice.

6 0
3 years ago
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