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balandron [24]
3 years ago
10

Lyra and Donna are testing the two-way radios they built for their high school science project. Lyra goes to the top of a buildi

ng that is 22 meters high with one of the radios and stands directly above the building’s entrance. Donna walks out of the entrance, perpendicular to the building, with the other radio. If Donna is more than 50 meters from the entrance, the connection between the radios breaks. What is the range of communication for the two radios to the nearest meter?
Mathematics
2 answers:
maxonik [38]3 years ago
6 0

Answer:

55 meters

Step-by-step explanation:

I am Lyosha [343]3 years ago
5 0
Lyra is 22 meters above the entrance.
The radios work until Donna is 50 meters away from the entrance.
At that moment, Lyra, Donna, and the entrance form a right triangle.
The hypotenuse is the actual distance between Lyra and Donna.

           Distance  =  √ (22² + 50²)

                         =   √ (484 m² + 2,500 m²)

                         =    √ (2984 m²)

                         =        54.63 meters.

Rounded to the nearest meter,    Distance = 55 meters.

THAT's the maximum point-to-point range of the radios.
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Chris needs $858 to buy a computer. She has already saved $575. She gets $15 an hour for babysitting and will babysit 12 hours i
qaws [65]

Answer:

It will take Chris 13 weeks of allowance to save enough to buy the computer.

Step-by-step explanation:

Chris needs $858 to buy a computer.

She has already saved $575.

She gets $15 an hour for babysitting and will babysit 12 hours in the next month, then she will get for babysitting:

($15/hour)(12 hours)=$180

Then, Chris will need:

A=$858-$575-$180→A=$103

She can save &8 a week form her allowance, then she will need:

Number of weeks: n = $103 / ($8/week) → n=12.875 weeks

Rounding:

n=13 weeks


5 0
3 years ago
A farmer with 1000 feet of fencing wants to enclose a rectangular field and then divide it into two plots with a fence parallel
Kipish [7]

Answer:

41,666.67m2

Step-by-step explanation:

Call W the Width and L the Length with 3 pieces.

The total length will be 2W + 3L

The Area is L*W

so,

A = L*W

2W+3L = 1000

Solve for L

3L = 1000-2W

L = (1000-2W)/3

subtitute for L into the first equation

A = L*W

A = W*(1000-2W)/3

A = (1000W - 2W^2)/3

Now, to find the max, set the 1st derivative = 0. I don't know if you know what that means, but...

dA/dW = 1000/3 - 4W/3 = 0

1000 - 4W = 0

W = 250 meters

Solve for L

2W+3L = 1000

500 + 3L = 1000

3L = 500

L = 166.67 m

Area = 250*500/3 = 41,666.67m2.

8 0
3 years ago
The heights of two groups of students in different grades are shown in the box-and-whisker plot below.
sertanlavr [38]

Answer:

D

Step-by-step explanation:

The first quartile of group A is greater than the first quartile of group B.

7 0
2 years ago
A TV that usually sells for $183.26 is on sale for 25% off. If sales tax on the TV is 9%, what is the price of the TV, including
Hatshy [7]
183.26 times .25 = 45.815
183.26 minus 45.815 = 137.445
137.445 times 0.09 = 12.37005
137.445 plus 12.37005 = 149.81505
Which =149.82 rounded
3 0
3 years ago
A boy gets #2.00 per week as pocket money. His sister gets only #1.60 per week
Norma-Jean [14]

The Ratio of the boy's allowance to his sister's is 5 : 4.

The new Ratio is 1 : 10000.

<h3>What is definition of ratio?</h3>
  • The quotient of two mathematical expressions, 1a. b: the proportion between two or more items in terms of quantity, amount, or size.
  • What does the arithmetic term "ratio" mean?
  • An ordered pair of numbers a and b, represented as a / b, is a ratio if b is not equal to 0. A proportion is an equation that sets two ratios at the same value.
  • For instance, if there is 1 boy and 3 girls, you may express the ratio as 1: 3 (there are 3 girls for every boy), meaning that there are 1 in 4 boys and 3 in 4 girls.

To learn more about :Ratio

Ref : brainly.com/question/2328454

#SPJ13

;

6 0
1 year ago
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