Help?!? will give a medal! Find the area of a circle with a diameter of 22 inches. Use 3.14 for pi.

379.94 in2

452.16 in2

527.52 in2

621.72 in2

Answers

Answer 1

Answer: The formula for area of a circle is:

A = πr^2

where A is the area and r is the radius which is half the diameter.

Let's plug in values we know and solve:

A = 3.14(11 in)^2

A = 3.14(121 in^2)

A = 379.94 in^2

Answer 2

Answer:

Answer:

the Answer is A i just took the test

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Antoine is on vacation with his family. They have a vacation budget of $1,400. Antoine predicts they will spend $110 each night on the hotel, $80 a day on food, and $100 a day on activities. They will also spend $120 on gasoline for the entire trip. Write an inequality to find how many nights, n, they afford to stay on vacation. What is the longest vacation they can take?

Answers

Answer:

290n + 120 ≤ 1400

4 days

Step-by-step explanation:

Given that:

Vacation budget = $1400

Cost on hotel = $110 per night

Cost on food = $80 per day

Cost on activities = $100 per day

Cost on gas = $120 for entire trip

Number of nights they can afford to stay

Let the Number of nights they can afford = n

((110 + 80 + 100) * number of nights) + 120 ≤ vacation budget

290n + 120 ≤ 1400

290n ≤ 1400 - 120

290n ≤ 1280

n ≤ 1280 / 290

n ≤ 4.4137

Hence, longest vacation they can take is 4 days

Final answer:

The family can afford up to 4 nights for their vacation, as per the inequality 290n + 120 ≤ 1400, where 'n' stands for the number of nights.

Explanation:

Let's first define the total expenses per day as the sum of the hotel costs ($110), food costs ($80), and the daily amount for activities ($100). This adds up to $290 per day. So for 'n' nights, the family will be spending $290n. In addition, there's a $120 onetime expense for gasoline. Hence, the inequality representing their spending will be: 290n + 120 ≤ 1400.

To find the longest vacation this family can afford, we simply need to solve this inequality. Pay attention as we do this: 290n ≤ 1280 (subtracting 120 from both sides), and then n ≤ 4.41 (dividing both sides by 290).

Since the number of nights 'n' should be a whole number, the family can afford up to 4 nights on their vacation.

Learn more about Vacation budgeting here:

brainly.com/question/36787192

#SPJ3

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Answers

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An umbrella that costs $6.00 to manufacture is sold for $11.70. What is the percent in price

Answers

Answer:

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Step-by-step explanation:

The word ‘over’ is to show a fraction btw
10 over x-4 = 6

Answers

Answer:

x = $(17)/(3)$

Step-by-step explanation:

$(10)/(x-4)=6\n\n$

10 = 6*(x -4)

10 = 6*x - 6*4

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Add 24 to both sides

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6x = 34

Divide both sides by 6

6x/6 = 34/6

x = $(17)/(3)$

Which set of ordered pairs represents a function?{(0, 1), (1, 3), (1, 5), (2, 8)}
{(0, 0), (1, 2), (2, 6), (2, 8)}
{(0, 0), (0, 2), (2, 0), (2, 4)}
{(0, 2), (1, 4), (2, 6), (3, 6)}

Please explain why.

Answers

The very last set
{(0, 2), (1, 4), (2, 6), (3, 6)}.

The reason why is because of the vertical line test. If there are two y-coordinates on a x-coordinate then it is not a function. A function is that each x-coordinate has a y-coordinate with the x-coordinates being different.

Example is above. If you have any questions then leave a comment. Good luck!

Answer:

last one

Step-by-step explanation:

Solve x2 + 20x + 100 = 36 for x.a. x = –16 or x = –4
b. x = –10
c. x = –8
d.x = 4 or x = 16

Answers

x² + 20x + 100 = 36⇒ x² + 20x + 100 - 36 = 0⇒ x² + 20x + 64 =0

Δ = b²-4ac = 20² -4·1·64 = 400-256 = 144

x₁= (-b+√Δ)/2a = (-20+√144)/2·1 = (-20+12)/2 = -8/2 = -4
x₂= (-b-√Δ)/2a = (-20-√144)/2·1 = (-20-12)/2 = -32/2 = -16

x=-4 or x=-16

The solution to the quadratic equation x² + 20x + 100 = 36 is x = 4 or x = -16 option (a) is correct.

What is a quadratic equation?

Any equation of the form $\rm ax^2+bx+c=0$ where x is variable and a, b, and c are any real numbers where a ≠ 0 is called a quadratic equation.