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S_A_V [24]
2 years ago
15

the area of a rectangle banquet hall is 7400 square feet. the length of one side of the hall is 82 feet. explain how you can use

compatable numbers to estimate the width of the hall
Mathematics
1 answer:
Vadim26 [7]2 years ago
5 0
We are given that the hall has a rectangular shape.
Area of rectangle can be calculated using the following rule:
Area of rectangle = length * width

We are also given that:
Area = 7400 square feet
length = 82 feet

Substitute with the givens in the above equation to get the width as follows:
Area of rectangle = length * width
7400 = 82 * width
width = 7400 / 82
width = 90.24390244 feet
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Using a tape measure Becky Jo found that the circumference of the great redwood was 900cm. She estimated that its diameter was 3
masha68 [24]
The length of the circle - <span>the product of the diameter and the number Pi
l = d</span>π
l = 900cm
π ≈ 3,1415 przyjmiemy wartość 3
900cm = d* 3   [:3
d = 300cm  
<span>Becky rounded value of Pi , hence the difference in result
</span>
<span>More accurate calculation
</span>
l = d*π
900cm = d*3,1415
d = 900cm : 3,1415 = 286,49cm

<span>Becky overestimated the outcome</span>



8 0
2 years ago
Explain why a sample of 30 dentists from a large city taken to estimate the median income of all residents of that large city is
WARRIOR [948]

Answer: Because all individuals in the sample have the same job, so the sample is biased.

Step-by-step explanation:

Ignoring the fact that 30 is a small sample for a large city, we already know that all the people in the sample has the same profession.

Now, we can expect that two dentists win have around the same income, but not all the residents in the city are dentists

A lot of them work in fast food, others may be lawyers, others may be freelancers.

We have a lot of jobs where the income does not coincide with the average income of a dentist, so with the sample of 30 dentists we are not actually representing all the other possible jobs that there are in the city.

If we want a sample that represents the income of all the residents, we should have a random sample (so the sample is not biased, like in this case).

7 0
2 years ago
Part 1 -Sample roller coasters warm up:
Ann [662]

Answer:

Step-by-step explanation:

h(t) = 0.3t -t +21t , t=time and h=height

1.

at t=0  the hight is h=0

h(0) = 0.3*0 -0 +21*0 = 0

It makes sense that at the time 0 seconds when the rollercoaster did not leave the hight is 0 feet.

2.

for t=10 substitute t with 10

h(10) = 0.3*10 -10 +21*10 = 3 -10 +210 = 203

3. see graph

4. the rollercoaster is going up

3 0
2 years ago
Amber is trying to solve 3x^2-4x=0 using a graphical method. She therefore starts by drawing the graph of y=3x^2 on a grid she n
Delvig [45]
Draw a graph of y=4x, and the x-coordinates of the points of intersection, if I’m not mistaken, are the answers.
6 0
2 years ago
Read 2 more answers
If a wheelchair-marathon racer moving at 13.1 miles per hour expends energy at a rate of 645 calories per hour, how much energy
Anna71 [15]

Answer:

1290 calories

Step-by-step explanation:

Given: The racer moves at 13.1 miles per hour expends energy at a rate of 645 calories per hour.

To find: Energy in calories, required to complete a marathon race 26.2 miles at this pace.

Solution: We have,

The racer moves at 13.1 miles per hour.

The racer expends energy at a rate of 645 calories per hour.

So, energy expended while moving 13.1 miles =645 calories.

Now, energy expended while moving 1 mile =\frac{645}{13.1} calories.

So, energy expended while moving 26.2 miles =\frac{645}{13.1}\times 26.2=645\times 2=1290 calories.

Hence, 1290 calories of energy is required to complete a marathon race 26.2 miles at this pace.

6 0
2 years ago
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