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Eddi Din [679]
3 years ago
6

Twelve less than seven times a number is 16

Mathematics
1 answer:
Murljashka [212]3 years ago
7 0
Are you asking a question? Or would you like this question checked for you?
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Marcos is flying a kite 35 feet above an oak tree. The angle of elevation to the top of the tree is 16 degrees and the angle of
Elza [17]

9514 1404 393

Answer:

  195 ft

Step-by-step explanation:

The relationship between the horizontal distance, angle, and vertical height is given by ...

  Tan = Opposite/Adjacent

Referring to the attached diagram, we have ...

  tan(16°) = BT/MB

  tan(25°) = BK/MB

Solving for BT and BK, we can describe their difference as ...

  BT = MB·tan(16°)

  BK = MB·tan(25°)

  BK -BT = 35 = MB(tan(25°) -tan(16°))

Dividing by the coefficient of MB gives ...

  MB = 35/(tan(25°) -tan(16°)) = 35/0.179562

  MB = 195 . . . feet

Marcos is standing 195 feet from the base of the tree.

3 0
3 years ago
Adult tickets to a play cost $1.75 each and student tickets cost $1.25 each. Suppose there are twice as many student tickets sol
Arada [10]

Answer: 200 adult tickets and 400 student tickets were sold.

Step-by-step explanation:

Let x represent the number of adult tickets that were sold.

Let y represent the number of student tickets that were sold.

Adult tickets to a play cost $1.75 each and student tickets cost $1.25 each. If the income from the play was $850, the expression would be

1.75x + 1.25y = 850- - - - - - - - - -1

Suppose there are twice as many student tickets sold as adult tickets. This is expressed as

y = 2x

Substituting y = 2x into equation 1, it becomes

1.75x + 1.25 × 2x = 850

1.75x + 2.5x = 850

4.25x = 850

x = 850/4.25

x = 200

y = 2x = 2 × 200

y = 400

6 0
3 years ago
The traffic engineer for a large city is conducting a study on traffic flow at a certain intersection near the city administrati
barxatty [35]

Answer:

e) The number of minutes for a car to get from the intersection to the administration building

Step-by-step explanation:

Continuous Data:

Data that can take any value (an infinite number of values) within a certain range.

For example, the statistics of a group of people form continuous data, but the number of people in that group form discrete data.

Inglés

In this case, counting items such as cars, bicycles, people, are considered discrete data. They exclusively take integer values.

But time data can take continuous values.

8 0
3 years ago
Conrad has 11 containers for his toys. He put 17 toys in each container. How many toys did he put away in all? *
ArbitrLikvidat [17]

Answer:

A child's toy consists of a piece of plastic attached to a spring in the figure below. The spring is compressed against the floor a distance of 2.00 cm, and the toy is released. If the toy has a mass of 117 g and rises to a maximum height of 45.0 cm, estimate the force constant of the spring.

Step-by-step explanation:

6 0
3 years ago
14÷420 long division
Serjik [45]
14➗ 420. 14 goes into 42 , 3 times subtract bring down the zero and your answer is 30
5 0
3 years ago
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