A circle is inscribed in a square whose side is 6. Express the area of the circle in terms of PI.

Answers

Answer 1

Since the side of the square is 6, the diameter is therefore 6 (since the diameter is how long the circle is). The radius is diameter/2=3, and since the area of a circle is pir^2, we have 3^2*pi=9π as our area

Related Questions

Could someone tell me the step to step guide on how to do any subject formulas question in Maths and could someone help me do the subject formulas questions in the photo☺

Answers

The subject of the formula means that you have to get some value equal to everything else. I'll do the first three, and you can go from there!

Our first step would be to separate the coefficient of the value from everything else (the coefficient is what the value is multiplied by). Therefore, in 2x-4=y, we have to add 4 to both sides to separate 2x, resulting in 2x=4+y. Next, we have to divide by the coefficient to separate x (in this case, 2), resulting in x=(4+y)/2

For the next one, we repeat the process - add 6 to both sides since it's subtracted by 6 (conversely, if we were to be adding 6 to 8b originally we would subtract 6 from both sides) to get 8b=6+a. Next, we divide both sides by 8 to get b=(6+a)/8.

For the third one, we add 1 to both sides to get 4d=c+1 and then divide both sides by 4 to get d=(c+1)/4

The distance between the baseball stadium and the airport is 1.6x10^6 centimeters. Which unit of measurement is most appropriate to measure the distance. ( i need to
Get this right or i will fail)
A. Inches
B. Milimeters
C. Kilometers
D.feet

Answers

C. Kilometers People like to deal with measurements using numbers close to 1. The closer, the better. But we're not talking about absolute values. We're talking about how many leading or trailing zeros we have to deal with. 0.000000001 is just as bad as 1000000000. So let's look at the choices and see what fits best. A. Inches * This is slightly better than the 1.6 million centimeters, but is 630 thousand inches all that much better? I don't think so. B. Millimeters OK, instead of 1.6 million centimeters, we'll use 16 million millimeters. Looks like we're going the wrong way here. C. Kilometers Hmm. Instead of 1.6 million centimeters, we get 16 kilometers. That's a nice small number. Looks good. D. feet How does 52.5 thousand sound to you? Not so great. So this is another bad choice. Of the 4 choices, only kilometers is reasonable. The other units of measurement are way too small. The kilometer is approximately the same scale as the distance to be measured (distance from baseball stadium to the airport). And because it's an appropriate scale, the result is a number that's fairly close to 1. When you start measuring really small things, then units like centimeters, millimeters, or even nano-meters make sense. And going the opposite direction, when measuring long distances, things like light seconds, or light years make sense. Use the scale that closest to what you're measuring.

Answer:

C. kilometers

Step-by-step explanation:

An art student uses a roll of wallpaper to decorate two gift boxed. The student will use 1 1/3 yards of paper for one box and 5/6 yard of paper in the other box. The paper must be cut into pieces that are 1/6 yard long. How many pieces will the student cut to use for the gift boxes

Answers

Final answer:

The art student decorating two gift boxes will cut full 78 pieces of paper from the roll that are 1/6 yard each, using a total of 2 1/6 yards of paper.

Explanation:

The art student is decorating two gift boxes using wallpaper that must be cut into 1/6 yard pieces. The student will use 1 1/3 yards of paper to decorate one box and 5/6 yard of paper to decorate the other box. To find out how many pieces of paper the student will cut, we first need to add the lengths of paper used for both boxes which gives us 2 1/6 yards.

To convert this total length into 1/6 yard pieces, we can divide the total length by the length of each piece. Therefore, 2 1/6 yards equals 13/6 yards. When we divide 13/6 by 1/6, we get 78. So, the student will cut 78 pieces for the gift boxes.

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Write the number described by 1 ten 16 ones

Answers

10+16=26 so there for your answer would be 26 if you need it more described let me know

10 plus 16 equal 26

the science department buys the equipment shown in the table they bought all three items this year and how many years do they have to buy all three items again

Answers

Given that the science department buys the equipment shown in the table below.

Item                      Time Bought
Microscopes          every 5 years
Safety goggles      every 4 years
Test tubes             every 2 years

Given that they bought all three items this year. The number of years it will take for them to buy all three items again in the same year is given by the LCM of 5, 4, and 2.

5 = 1 x 5
4 = 1 x 2 x 2
2 = 1 x 2

LCM = 1 x 2 x 2 x 5 = 20.

Therefore, they will buy all three items again in 20 years.

solve for E.
50−3.6(E−4)=32

Answers

E= 9 because you have to distribute -3.6 to E and -4

ok E Would Be 1 Because their ' is no other Number that you cant put their yet

How many equal line segments are needed to make a row of 6 triangles

Answers

Answer:

To make a triangle you need three line segments.So,First triangle consist of three and then 2 segments are added,then 2,....so,on, till you obtain six triangles.

Total number of Line segments

=3+2+2+2+2+2

=13

Figure is attached below.

To draw 6 triangles in a row , Total number of line segments needed=13

Evaluate the expression. 16(84+124) Enter your answer as a number, like this: 42 80 pts

Answers

you first add the numbers in the bracket and then multiply your answer with the number that is outside the bracket. The answer is 3,328 pts

Answer:

Add 84 + 124 = 208

multiply by 16 = 3328 :)

Bonita is testing prototype model rocket engines. To be considered a successful launch, the rocket must reach a height of at least 24 ft and must go a horizontal distance of no more than 10 ft. The vertical height must be at least three times as high as the horizontal distance. No rocket should go higher than 33 ft.

The graph shows the feasible region, where x represents the horizontal distance and y represents the vertical distance.

Which ordered pairs meet all the constraints for a successful launch and make sense in context of the situation?

Select each correct answer.

(0, 33)

(4, 36)

(4.8, 30.5)

(9, 26)

(2, 22)

Answers

Let

x--------> the horizontal distance in feet

y--------> the vertical height in feet

we know that

The constraints are

1) [tex]y\geq 3x[/tex]

2) [tex]24\ ft\leq y \leq 33\ ft[/tex]

3) [tex]x\leq10 \ ft[/tex]

Let's verify each case to determine the solution to the problem.

case A) point [tex](0,33)[/tex]

Substitute the values of x and y in each of the constraints

constraint 1

[tex]33\geq 3*0[/tex]

[tex]33\geq 0[/tex] ---------> is true

constraints 2

[tex]24\ ft\leq 33 \leq 33\ ft[/tex]-------> is true

constraints 3

[tex]0\leq10 \ ft[/tex]--------> is true

therefore

the ordered pair [tex](0,33)[/tex] meet all the constraints for a successful launch

case B) point [tex](4,36)[/tex]

Substitute the values of x and y in each of the constraints

constraint 1

[tex]36\geq 3*4[/tex]

[tex]36\geq 12[/tex] ---------> is true

constraints 2

[tex]24\ ft\leq 36 \leq 33\ ft[/tex]-------> is not true

constraints 3

[tex]4\leq10 \ ft[/tex]--------> is true

therefore

the ordered pair [tex](4,36)[/tex] does not meet all restrictions for a successful launch

case C) point [tex](4.8,30.5)[/tex]

Substitute the values of x and y in each of the constraints

constraint 1

[tex]30.5\geq 3*4.8[/tex]

[tex]30.5\geq 14.4[/tex] ---------> is true

constraints 2

[tex]24\ ft\leq 30.5 \leq 33\ ft[/tex]-------> is true

constraints 3

[tex]4.8\leq10 \ ft[/tex]--------> is true

therefore

the ordered pair [tex](4.8,30.5)[/tex] meet all the constraints for a successful launch

case D) point [tex](9,26)[/tex]

Substitute the values of x and y in each of the constraints

constraint 1

[tex]26\geq 3*9[/tex]

[tex]26\geq 27[/tex] ---------> is not true

constraints 2

[tex]24\ ft\leq 26 \leq 33\ ft[/tex]-------> is true

constraints 3

[tex]9\leq10 \ ft[/tex]--------> is true

therefore

the ordered pair [tex](9,26)[/tex] does not meet all restrictions for a successful launch

case E) point [tex](2,22)[/tex]

Substitute the values of x and y in each of the constraints

constraint 1

[tex]22 \geq 3*2[/tex]

[tex]22\geq 6[/tex] ---------> is true

constraints 2

[tex]24\ ft\leq 22 \leq 33\ ft[/tex]-------> is not true

constraints 3

[tex]2\leq10 \ ft[/tex]--------> is true

therefore

the ordered pair [tex](2,22)[/tex] does not meet all restrictions for a successful launch

the answer is

[tex](0,33)[/tex]

[tex](4.8,30.5)[/tex]

Answer:

The ordered pairs that meet all the constraints for a successful launch and make sense in context of the situation are:

(0,33) and (4.8,30.5)

Step-by-step explanation:

Here x represent the horizontal distance and y represent the vertical distance.

From the given information in the question we can make the following inequalities:

The rocket must reach a height of at least 24 ft and must go a horizontal distance of no more than 10 ft.

y ≥ 24

and x ≤ 10

The vertical height must be at least three times as high as the horizontal distance.

i.e. y ≥ 3x

No rocket should go higher than 33 ft.

i.e. y ≤ 33

Hence, after combining all the inequalities we have:

x ≤ 10

24 ≤ y ≤ 33

and y ≥ 3x

(0, 33)

As (0,33) satisfies all the constraints of the given problem.

Hence, this ordered pair will lie in the feasible region.

(4, 36)

As the height that is the y-value has to be less than 33.

Hence, the ordered pair (4,36) does not lie in the feasible region.

(4.8, 30.5)

It satisfies all the inequalities of a successful launch.

Hence, this ordered pair will lie in the feasible region.

(9, 26)

As the property that y ≥ 3x mjust be satisfied.

But here at x=9

y ≥ 27

but we are given y=26.

Hence, this ordered pair also does not lie in the feasible region.

(2, 22)

As the minimum vertical distance must be 24.

But here we are given y=22.

Hence, this ordered pair does not lie in the feasible region.

4/11+s=9/22 how to I find the answer to this

Answers

First you have to subtract 4/11 from the variable side of the equation and the right side as well. Then you'll have s=9/22-8/22, so your answer is 1/22

Well first, you want to subtract 4/11 from both sides of the equation. To do this, you must find the common denominator between 4/11 and 9/22. The common denominator is 22. This is how it should look:

4/11 + s = 9/22
8/22 + s = 9/22
-8/22 -8/22
s = 1/22

2,107,954 the value of the digit 0 is

Answers

The Ten Thousands Place, that is the place value. I think thats what your question is looking for.

The value of the 0 in 2,107,954 is the ten thousands place.

If the simplest interest on $2000 for two years is $280 then what is the interest rate

Answers

the answer is 7.14 percent

a sequence has a first term of 2 and a constant ratio of _3/2 what are the first five terms of the sequence

Answers

This is a geometric sequence with a=2, r= -3/2.
Therefore,
a₁ = 2
a₂ = 2*(-3/2) = -3
a₃ = 2*(-3/2)² = 9/2 = 4.5
a₄ = 2(-3/2)³ = -27/4 = -6.75
a₅ = 2(-3/2)⁴ = 81/8 = 10.125

Answer:
In fractions, the first five terms are
2, -3, 9/2, -27/4, 81/8
In decimals, the first five terms are
2.000, -3.000, 4.500, -6.750, 10.125

Wood floors are being refinished in an office. If the room is a square with 15 foot 6 inch sides, what will it cost to have the floor refinished at $5.98 per square foot?

$40.18
$240.25
$1,436.70
$1,455.30

Answers

$1,436.70 is the answer

Answer:

Option c $1436.70

Step-by-step explanation:

It is given that room is a square, and each sides = 15 ft. 6 inches

Since 15 ft. 6 inches = 186 inches or 15.5 feet

Area of square = Length × width

Area of the room = 15.5 × 15.5 = 240.25 square feet.

Cost to have the floor refinished per square foot = $5.98

Total cost for the room = 240.25 × 5.98 = 1436.695 rounded to $1436.70

Total cost for refinished would be $1436.70

There are 6 baskets on the table. Each basket has 144 crayons in it. How many crayons are there?

Answers

If each basket has 144 crayons, 6 baskets will have 144*6 crayons, which gives 864 crayons

864 okkkkkkkkkkkkkkkkk

the men's world record for the high jump is 2.45 meters. A puma can jump about 1.9 times as high. what is the highest a puma can jump?

Answers

U could answer that question by adding 2.45+1.9=4.35

If a man can jump 2.45 meters and a puma can jump 1.9 TIMES higher, we know that we can simply multiply to find the answer. When something says times, that is always multiplication. So:

2.45*1.9= 4.655

4.655 is the highest a puma can jump.

In conclusion, a puma can jump 4.655 meters and a man can jump 1.9 times less than that, or anyway you order it, it still makes sense cause it's multiplication.

Answer: 4.655

Hope this helps, and have a blessed day or night!

How to convert 5 1/4 into a decimal

Answers

5 1/4 convert into a decimal is 5.25.

Decimal

In order to convert a fraction to a decimal first step is to divide the numerator by the denominator.

Where:

Numerator=1

Denominator=4

Hence:

1/4=0.25

5 1/4=5+0.25

5 1/4=5.25

Inconclusion 5 1/4 convert into a decimal is 5.25.

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Final answer:

The mixed number 5 1/4 is converted into a decimal by dividing the fraction part (1/4) to get 0.25 and adding it to the whole number (5) resulting in 5.25.

Explanation:

To convert the mixed number 5 1/4 into a decimal, first understand that it consists of a whole number 5 and a fraction 1/4. The fractional part 1/4 can be converted to a decimal by dividing the numerator (1) by the denominator (4). Performing this division: 1 ÷ 4 = 0.25. Now, simply combine the whole number with the decimal, which gives 5 + 0.25 = 5.25. Therefore, 5 1/4 as a decimal is 5.25.

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Numbers with the same absolute value are__________

Answers

They are either the same, or opposite number.

Same Different numbers

Choose the constant term that completes the perfect square trinomial.
X^2 + 1/3x

Answers

To complete the perfect square trinomial, you have to do (b/2)^2, which in this case is ((1/3)/2)^2. 1/3 divided by 2 gives you 1/6 and then (1/6)^2 is 1/36. So 1/36 is the constant term. This, the complete trinomial is now x^2 + 1/3x + 1/36

Just remember that anytime you need to complete a perfect square trinomial, use the expression (b/2)^2

1/36 is the answer

to ur problem

(^_>*)

One side of a rectangular football field's width is equal to 55 yards. One side of the field's length is 110 yards. Calculate the perimeter of the field

Answers

P= 2w+2L
2(55)+2(110)=
110+220=330
The perimeter is 330 yards

Final answer:

The perimeter of the rectangular football field, with a length of 110 yards and width of 55 yards, is calculated as 330 yards.

Explanation:

To calculate the perimeter of this rectangular football field, we need to add up the lengths of all four sides. Given that the width of the football field is 55 yards and the length is 110 yards, the formula to calculate the perimeter (P) of a rectangle is P = 2L + 2W where L is the length and W is the width.

Substituting the given numbers, we get P = 2(110) + 2(55) = 220 + 110 = 330 yards. Therefore, the perimeter of the football field is 330 yards.

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Write an expression in words that describes the relationship between the number of quarts and the number of cups

Answers

4 cups=1 quart

1 quart=4 cups
if there are x quarts, there are 4x cups

Im desperate! please help!

Should an estimate or the exact answer be calculated? Then do the appropriate calculation.

The conservation club participated in a beach cleanup program over a 5 week period. Their goal was to collect at least 60 pounds of trash. They collected pounds in each of the first two weeks and pounds for each of the last three weeks. Did the club reach its goal?

A.
An estimate can be used to know if the goal was reached.
12 • 2 + 13 • 3 = 63
At least 63 lb were collected.

B.
The exact answer is needed to know if the goal was reached.
pounds were collected.

Answers

I would go with A. An estimate.

This may not be the right answer but Good Luck!

Kendra has 70$. Alonzo has one tenth as much as Kendra. Markio has 10times as much money as Kendra. How much money does Alonzo have? How much money does Markio!

Answers

Alonzo has $7 while Markio has $700. To get one-tenth of $70, simply multiply 0.1 by $70. On the other hand, to find out how much money Markio has, just multiply $70 by 10 to get $700! :)

Answer:

700$

Step-by-step explanation:

Write two mixed numbers between 3 and 4 that have a product between 9 and 12

Answers

Here is one answer.

[tex]3\frac{1}{3} \times 3\frac{1}{2} = 11.655[/tex]

Santiago receives an allowance of 7$ every week
How much total does he receive after 4 weeks

Answers

the answer is 28$ he is now rich

7(4)= 28

Santiago receives $28 after 4 weeks.

Hope this helps!

Algebra write all of the digits that can replace each

Answers

Be more specific. Sry I don't know the answer

Dr. Hung prescribed 0.019 L more medicine then Dr. tannenbaum Dr. Evans prescribe 0.02 was the one Doctor Who prescribed the most who prescribed the lease

Answers

Dr. Evans prescribed more. Dr. Hung prescribed less. 0.019 < 0.02

Dr. Hong prescribed the most medicine, and Dr. Evans prescribed the least medicine. This was determined by assuming Dr. Tannenbaum's prescription as a base and calculating the others accordingly.

To determine who prescribed the most and the least medicine, we need to perform a simple calculation based on the given information:

Let's assume the amount prescribed by Dr. Tannenbaum as 'x' liters.Dr. Hong prescribed 0.019 liters more than Dr. Tannenbaum, so this would be 'x + 0.019 liters'.Dr. Evans prescribed 0.02 liters less than Dr. Hong, that means it would be '(x + 0.019) - 0.02 liters' or 'x - 0.001 liters'.

From these calculations:

Dr. Tannenbaum prescribed 'x' liters.Dr. Hong prescribed the most with 'x + 0.019' liters.Dr. Evans prescribed the least with 'x - 0.001' liters.

Therefore, Dr. Hong prescribed the most medicine, and Dr. Evans prescribed the least medicine.

Light travels at a speed of 3.0 times 10 to the 8th power m/s. How many seconds does it take to get to earth if earth is 3.99 times 10 to the 16th power meters away?

Answers

Light travels at 300,000,000 meters/second. It is calculated as 3 x 10^8.

Earth is 3.99 x 10^16 meters away.

I used the formula (3.99 x 10^16) divided by 300,000,000.

The answer is 133,000,000 seconds

estimate. then find the product 872 × 3

Answers

2600 should be the correct answer here

Estimate: 900 x 3= 2700
Product: 2616

what names apply to the square root of 36?

Answers

The square root of -36 is the square root of -1 times the square root of +36.
The answer is 6i, where i is the square root of -1.
This can be checked by the standard formula for two complex numbers:
(a,b)x(c,d) = (ac-bd, ad+bc)
(0,6) x (0,6) = (0x0 - 6x6, 0x6 + 6x0) = (-36, 0) or just -36

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