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jolli1 [7]
1 year ago
11

Martina used 3 as the value of pi to estimate the area of a circular patio that had a diameter of 26 ft.

Mathematics
1 answer:
dezoksy [38]1 year ago
6 0

Answer:

507 ft²

Step-by-step explanation:

the area (A) of a circle is calculated as

A = πr² ( r is the radius )

given diameter = 26 then r = 26 ÷ 2 = 13 , so

A = π × 13² ≈ 3 × 169 = 507 ft²

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Simplify (2 {sqrt 5}+ 3 {sqrt 7})^2. Show your work. Justify each step.
White raven [17]
(2√5 + 3(√7))^2
(2√5 + 3(√7))(2√5 + 3(√7))
4*5 + 6√35 + 6√35 + 9*7
20 + 12√35 + 63
20 + 63 + 12√35
83 + 12√35
4 0
3 years ago
There are 32 students in a class. Nine of those students are women. What percent are men?
QveST [7]

Answer:

72%

Step-by-step explanation:

you can divide part of a whole by the whole to get a decimal

this decimal is the percentage when you move the decimal 2 places to the right

32 - 9 = 23 men

23/32 = .72 (rounded)

.72 = 72%

5 0
3 years ago
Find two numbers if their sum is 6.1 and their difference is 1.6
Radda [10]
For this case, the first thing we must do is define variables:
 x: unknown number (1)
 y: unknown number (2)
 We now write the equations that model the problem:
 their sum is 6.1:
 x + y = 6.1

 their difference is 1.6:
 x - y = 1.6

 Solving the system we have:
 We add both equations:
 x + x = 6.1 + 1.6

2x = 7.7

x = 7.7 / 2

x = 3.85
 Then, we look for the value of y using any of the equations:
 x - y = 1.6

y = x - 1.6

y = 3.85 - 1.6

y = 2.25
 Answer:
 
The numbers are:
 
x = 3.85

y = 2.25
6 0
3 years ago
Read 2 more answers
9. YOU BE THE TEACHER Your friend
Crank

Answer:

Step-by-step explanation:

Yes, it's reasonable.

What you are doing is solving the question by rounding. You come up with an answer. Suppose you loose the decimal somewhere and you get 0.36? Is that reasonable? Do you just write the answer in the provided blank and move on. What now?

You get it wrong?!!

But your estimate should be about 9/3 = 3. Now you look at your calculator with great misgivings, because it made a mistake. Did it or did you? Well ultimately you did, but you have to blame something. So the calculator takes the heat.

Who  knows? Maybe the decimal doesn't work. It's stuck or something. In any event you should be aware that there's no way the answer could be 0.36 when you estimate it to be 3.

8 0
2 years ago
3. FACTOR f(x) = x3 + 2x2 – 51x + 108 completely given x + 9 is a factor.
Pavlova-9 [17]

Answer:(x+9)(x-4)(x-3)

6 0
3 years ago
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