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Elenna [48]
1 year ago
13

Sina played basketball on a rectangular court that was 74 feet by 42 feet. after the game, she walked across the court diagonall

y from one corner to the opposite corner. approximately what distance did sina walk in feet?
Mathematics
2 answers:
Butoxors [25]1 year ago
8 0

Distance walked = 85.088 feet


The distance Sina walked would be equal to the length of the diagonal of rectangle.

As every angle in a rectangle is 90 degree. So, we can apply Pythagoras theorem in right triangle formed by sides,

Base- 74 feet, Altitude-  42 feet and Hypotenuse- Diagonal

Base^2 + Altitude ^ 2 = Hypotenuse ^2

74^2 + 42 ^ 2 = Diagonal ^2

On solving,

Diagonal = 85.088 feet

Naddika [18.5K]1 year ago
6 0
the distance Sina walked was 7,240 feet
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balu736 [363]

Answer:

D(t) = 3 + 0.0(80 - t)

Step-by-step explanation:

The average of speed of Laura in miles per hour is given by:

S(t) = 6 + 0.1(80 - t)                                 Equation 1

where, t is the temperature in degrees Fahrenheit.

The distance D, Laura covers at x miles per hour is given as:

D(x) = 0.5x                                              Equation 2

We need to find the expression that models the distance that Laura runs in terms of the temperature "t"

The "x" in Equation 1 represents the average speed of Laura in miles per hour. S(t) in Equation 1 also represent the speed of Laura in miles per hour. So, we can replace x by S(t) in Equation 2 and generate an equation of Distance in terms of temperature "t" as shown below:

D(S(t)) = 0.5 (6 + 0.1(80-t))

D(t) = 3 + 0.0(80 - t)

This expression models the distance that Laura runs in 30 minutes given that it is t∘F outside at the start of her run.

8 0
1 year ago
Tammy has planted a small, young tree in her yard. To allow for the tree’s growth, she needs 15 feet in all directions around th
astraxan [27]

Answer:

First, remember that a circle of radius R centered in the point (a, b) can be written as:

(x - a)^2 + (y - b)^2  = R^2

Suppose that we can model the yard as a rectangular coordinate axis.

And the tree is planted in the point (a, b)

If we want to have 15 feet in all directions around the base of the tree (15 ft around the point (a, b))

The section that must remain unplanted is:

(x - a)^2 + (y - b)^2   ≤ R^2

Where the ≤ symbol is used because all the interior of the circle must remain unplanted (border included)

7 0
2 years ago
1. Hope's employer deposits her paycheck directly into her checking account. How much would her employer have
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Answer:

$284.79

Step-by-step explanation:

Hope has $284.79 deposited into his account.  Hope's will receive a paycheck every two weeks.                                                        

7 0
2 years ago
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sammy [17]

Objective function (maximize)

Profit=0.40L+0.50V

Subject to the Constraints

- Availability of salt: 2L+3V ≤4800

- Availability of flour: 6L+8V≤9600

- Availability of herbs: 1L+2V≤2000

Explanation:

In this linear programming problem, our objective is to maximise (make profit) but complying with some constraints.

The profit for a bag of lime chips(L) is $0.40, and for a bag of vinegar chips(V) is $0.50.

Therefore:

Profit=0.40L+0.50V

Next, we determine the Constraints defined by the availability of materials.

Total available ounce of salt = 4800

A bag of Lime Chip(L) requires 2 ounces of salt and a Bag of vinegar chips(V) requires 3 ounces of salt.

Therefore:

2L+3V≤4800

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A bag of Lime Chip(L) requires 6 ounces of flour and a Bag of vinegar chips(V) requires 8 ounces of flour.

Therefore:

6L+8V≤9600

Total available ounce of Herbs = 2000

A bag of Lime Chip(L) requires 1 ounce of herv and a Bag of vinegar chips(V) requires 2 ounces of flour.

Therefore:

1L+2V≤2000

Thus, the formulation of the linear programming problem is as follows.

Objective function (maximize)

Profit=0.40L+0.50V

Subject to the Constraints

- Availability of salt: 2L+3V ≤4800

- Availability of herbs: 1L+2V≤2000

- Availability of flour: 6L+8V≤9600

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