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The circular pan must have a radius of 6.68 inches.

The area of the circular pan just be the same as the area of the rectangular pan.

The rectangular pan is 10in by 14 in, so its area is:

A = 10in*14in = 140in^2

Then the circular pan must have an area:

A' = 3.14*r^2 = 140in^2

We can solve this for r:

r = √(140in^2/3.14) = 6.68 in

The circular pan must have a radius of 6.68 inches.

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Answer:

$0.57

Step-by-step explanation:

In one cup there are eight fluid ounces

To find the cost per fluid ounce all you have to do is divide the price by how many ounces]

To find ounces= 2x8=16

To find price per ounce 9.12/16= .57

Answer:

Step-by-step explanation:

Remark

All you need do is find the radius and put it into the formula V = (4/3) pi r^3.

Givens

d = 12 yards

r = d/2

Solution

r = 12 yds/2 = 6 yds

V = 4/3 pi r^3

V = 4/3 * 3.14 * 6*6*6

V = 904.32

Answer 904.4 yd^3

Answer:

Both

Step-by-step explanation:

After cutting the paper, both Calvin and Matthew have the same area. Calvin cut his into two rectangles that are each half the area of the original piece of paper. Matthew cut his paper into two equivalent right triangles that are also half the area of the original piece of paper.

Answer:

10 times

Step-by-step explanation:

Answer:

Both of those tables show a proportional relationship between x and y.

Step-by-step explanation:

In the second table the values all equal 0.75 when divided.

In the first table the values all equal 1.25 when divided.

Answer:

Lower quartile = 6

Median = 8

Upper quartile = 9

Step-by-step explanation:

If you take away a number from each end of the number set one by one, you will end up with 7 and 9 in the middle. To find the median between two numbers, add them together then divide them by 2.

7 + 9 = 16

16 ÷ 2 = 8

_________________

To find the lower and upper quartiles, split the number set into two where the median is, then, find the median of those two sections.

Lower quartile: 4, 5, 6, 6, 7

Median = 6

-

Upper quartile: 9, 9, 9, 9, 9

Median = 9

So, the median of the whole set is 8, the lower quartile is 6, and the upper quartile is 9.

hope this helps!

Answer:

0.25

Step-by-step explanation:

Answer:

0.25

Step-by-step explanation:

3÷12=0.25

12 goldfish for $3

Answer:

−1\°

Step by step explation:

Let

x -----> the wind speed in mi/h

y ----> the wind chill in °F

we have

y=-0.36x+12.6y=−0.36x+12.6

so

For x=38 mi/h

substitute in the linear equation and solve for y

y=-0.36(38)+12.6=-1.08\°y=−0.36(38)+12.6=−1.08\°

Round to the nearest degree

-1.08=-1\°−1.08=−1\°

Answer: y= -8

Step-by-step explanation:

Answer:

227

Step-by-step explanation:

Since they give you the hypotenuse length of 290in and they ask you to find the length os the adjacent angle, use the cosine to find side b.

So you do tan38=b/290 then calculate.

The true answer is 226.5728 but they ask you to round.

Answer:

It's not

Step-by-step explanation:

To know this, you have to put a zero to the right.

So it'd be 34.3210, and as you can see, 34.3211 is greater

Answer:

Step-by-step explanation:

Answer:

4(4x + 3y)

Step-by-step explanation:

Given expression:  16x + 12y

Factors of 16:  1, 2, 4, 8, 16

Factors of 12:  1, 2, 3, 4, 6, 12

Therefore, the greatest common factor of 16 and 12 is 4.

As the expression has two variables, the variables cannot be factored.

Therefore, factored expression:  4(4x + 3y)

16x+12y

Factor each

Take 4 common as GCF

She would have to take 5.29 miles to save round-trip if she had taken the direct route.

The Pythagoras theorem states that the square of the longest side must be equal to the sum of the square of the other two sides in a right-angle triangle.

The direct route from Marta's apartment to work is a road that is a straight line. The road is closed for repairs.

Marta had to drive 8 miles west and then 6 miles south to get to work. She returned home by the same route.

Let's consider x to be the direct route.

By Pythagoras theorem, we can find the direct route

[tex]x^{2} = 8^{2} +6^{2} \\\\x^{2} = 64 - 36\\\\x^{2} = 28\\\\x= \sqrt{28} \\\\x= 5.29[/tex]

Thus, She would have to take 5.29 miles to save round-trip if she had taken the direct route.

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Answer: (x - 1)(x - 23)

Step-by-step explanation:

    First, we can factor the x² part:

(x)(x)

    Next, we will look at the -24x and +23

-> We need two numbers that multiply to 23 and add to -24

-> 23 is a prime number, so we will use 1 and 23

    For -24, 1 and 23 must be added together. Since a negative times a negative is a positive, and a negative plus a negative is a positive, we will turn them into -1 and -23.

    This gives us a final answer of:

(x - 1)(x - 23)

Answer: (x - 1)(x - 23)

Step-by-step explanation:

attached the picture below of the working...

hope that helps...

Answer:

16 cm

Step-by-step explanation:

Circumference of a circle

We are told that the string is wound symmetrically around a circular rod.

Now, the circumference of the rod is 4 cm and length is 12 cm.

Now, circumference is also the length of a circle. Thus, one wound of the string will be equal to the circumference of the rod.

Thus, one wound = 4 cm

Since the string makes 4 turns about the rod, then;

Length of string = 4 × 4 = 16 cm

hopes this helps ya out

I think it's like this.

Hope this helps

Answer:

y = 4

Step-by-step explanation:

Thewtriangle on the right side has a 90° angle and a 30°, so the third angle is 60°. That makes the triangle a 30-60-90 right angle. The short leg is half the length of the hyptenuse.

y = 8/2 = 4

Answer: C. y = 4

Most problems like this can be done with two tools only: partial fractions, and the result 1/(1−w)=1+w+w2+⋯ for |w|<1. So first split your function f into 1/(z−2)−1/(z−1). I will show you how to cope with one of these factors, 1/(z−2). Writing this as −1211−z/2 is tempting but no good: the "1/(1−w)" expansion will converge only for |z/2|<1, not on the regions you are supposed to care about. So you take out a factor of z−1 instead:

1/(z−2)=z−111−2/z

The final term can be expanded with the 1/(1−w) series, valid for |2/z|<1 that is |z|>2. So that does give you a Laurent series valid in the right region (once you multiply bu z−1. These methods can be used to solve all of your problems.

Partial fractions:

[tex]f(z) = \dfrac z{(z-1)(2-z)} = -\dfrac1{1-z} + \dfrac2{2-z}[/tex]

For |z| < 1, we have

[tex]\displaystyle \frac1{1-z} = \sum_{n=0}^\infty z^n[/tex]

and

[tex]\displaystyle \frac2{2-z} = \frac1{1-\frac z2} = \sum_{n=0}^\infty \left(\frac z2\right)^n[/tex]

(The latter series is valid for |z/2| < 1 or |z| < 2, but |z| < 1 is a subset of this region.)

Then

[tex]\boxed{f(z) = \displaystyle \sum_{n=0}^\infty \left(\frac1{2^n} - 1\right) z^n}[/tex]

Answer:Sure, what do you need help with

Step by step explanation:

Sure, what do you need help with

Answer:

25

%

Step-by-step explanation:

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The probability that the two cards dealt to Patricia will both be yellow

is 1/4.

In mathematics, probability refers to the likelihood of an occurrence occurring. Simply put, how frequently the incidence occurs over a certain period of time.

Given, there are 12 cards left in the deck, and three are yellow.

To find the probability:

The probability= number of yellow cards in the deck / total number of cards in the deck.

= 3/12

= 1/4

Therefore, the probability is 1/4.

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The height of the tree is 4.15m

We are given that

Height of Joshua, h=1.85 m

Length of tree's shadow, L=39.55 m

Distance between the tree and Joshua=35.4 m

We have to find the height of the tree.

BC=35.4 m

BD=39.55m

CD=BD-BC

CD=-35.4 m=4.15 m

EC=1.45 m

All right triangles are similar. When two triangles are similar then the ratio of their corresponding sides is equal.

[tex]\triangle ABD=\triangle ECD[/tex]

[tex]\frac{AB}{EC}=\frac{BD}{CD}[/tex]

Substitute the values

[tex]\frac{AB}{1.45}=\frac{39.55\times 1.45}{4.15} \\\\AB=20.39[/tex]

Hence, the height of the tree=20.39 m

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Answer:

297.375 miles

Step-by-step explanation:

Since lisa rides 15.25 miles in 1 week and we are looking for how many miles she rides in 19.5 weeks, we must multiple 15.25 miles by 19.5 because she rides 15.25 miles, 19.5 times.

15.25*19.5=297.375

Answer: go to the website

Step-by-step explanation:

Answer:

Larissa would spend a total of: $7,680 in 1 year

Step-by-step explanation:

Answer:

your answer is 20.

Step-by-step explanation:

Answer:

The answer is definitely Option A