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Fynjy0 [20]
3 years ago
14

What is the area of the following circle? Either enter an exact answer in terms of π or use 3.14 for π and enter your answer as

a decimal.
the circle is r = 5 as a radius
Mathematics
1 answer:
Helga [31]3 years ago
4 0

Answer:

78.54

Step-by-step explanation:

the formula to calculate the area of a circle is

π · r2

3.14 · 5^2= 78.53982= 78.54 aprox

Hope this helps, good luck!

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Marisa wants to buy a quality phone for least $200.She has already saved $125 and plans to save an additional $10 each week.Writ
eduard

Answer:

The inequality can be represented as:

10w+125\geq200

where w represents the number of weeks in which Maria will be able to buy a phone  for least $200.

On solving it we get : w\geq 7.5

Step-by-step explanation:

Given:

Maria wants to buy a phone for at least $200.

She has savings of $125.

She plans to save $10 every week.

To write an inequality for the situation.

Solution:

Let the number of weeks in which Maria will be able to buy a phone be = w

If she saves $10 each week.

Then, in w weeks she will save in dollars = 10w

She already has savings = $125

So her total savings in w weeks in dollars will be = 10w+125

She wants to buy a phone for at least $200.

Thus, the inequality can be represented as:

10w+125\geq200

Solving for w

Subtracting both sides by 125.

10w+125-125\geq 200-125

10w\geq 75

Dividing both sides by 10.

\frac{10w}{10}\geq \frac{75}{10}

w\geq 7.5

Thus Maria needs at least 7.5 weeks to be able to buy a phone for atleast $200.

5 0
3 years ago
Find the area of the shaded portion in the equilateral triangle with sides 6.
LUCKY_DIMON [66]
Triangle is equilateral with sides of 6.
Therefore all angles = 60°
Ht of 30-60-90 is 3sr3 = 5.196
Area of 30-60-90 = 1/2×b×h = 3×5.196
Area = 15.59
Pie slice from each corner = 60/360×pi×r^2, with r = 3
1/6×pi×9 = 4.71 × 3 pie slices = 14.13
So, shaded inner region = area triangle - 3 pie corners = 15.59-14.13
= 1.46
7 0
3 years ago
1. Fill in the blanks for the rules for working with exponents:
natima [27]
1.a)add
B) substract
C) multiply
D) one

2) 1002=1.002×10^3

3)2.8×10^-3 < 2.5×10^-2 < 1.2×103 <4×103
5 0
3 years ago
Read 2 more answers
You operate a gaming website, www.mudbeast.net, where users must pay a small fee to log on. When you charged $4 the demand was 5
sertanlavr [38]
A) Demand function

price (x)          demand (D(x))

4                      540

3.50                  810

D - 540          810 - 540
----------- =  -----------------
x - 4               3.50 - 4

D - 540
----------- = - 540
x - 4

D - 540 = - 540(x - 4)

D = -540x + 2160 + 540

D = 2700 - 540x

D(x) = 2700 - 540x

Revenue function, R(x)

R(x) = price * demand = x * D(x)

R(x) = x* (2700 - 540x) = 2700x - 540x^2

b) Profit, P(x)

profit = revenue - cost

P(x) = R(x) - 30

P(x) = [2700x - 540x^2] - 30

P(x) = 2700x - 540x^2 - 30

Largest possible profit => vertex of the parabola

vertex of 2700x - 540x^2 - 30

When you calculate the vertex you find x = 5 /2

=> P(x) = 3345

Answer: you should charge a log-on fee of $2.5 to have the largest profit, which is $3345.




5 0
3 years ago
One sandwich is shared equally among eight people. How much will each person get
givi [52]

Answer:

1/8 of a sandwich

3 0
3 years ago
Read 2 more answers
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