The perimeter of a quarter circle is 10. 71 yards. What is the quarter circle's radius?

Use 3. 14 for ​

Answer:

Step-by-step explanation:

You have correctly counted the 6 sides of the figure. A 6-sided polygon is a hexagon.

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The length of baseboard needed is the length of the perimeter of the figure. That length is the sum of the side lengths. Starting from the lower left corner and working clockwise, the side lengths are ...

  1 ft + 5 ft + 2 ft + 1 ft + 5 ft + 10 ft = 24 ft

24 feet of baseboard are needed.

__

Additional comment

The area of the figure can be found several ways. One of them is to subtract the corner cutout area from the overall rectangle area. The overall rectangle is 10 ft wide and 4 ft high, for an area of (10 ft)(4 ft) = 40 ft². The upper left triangle cutout is 4 ft wide and 3 ft high, for an area of (1/2)(4 ft)(3 ft) = 6 ft². The upper right trapezoid cutout has bases of 1 ft and 4 ft, and a height of 4 ft, so its area is 1/2(1 ft +4 ft)(4 ft) = 10 ft².

Then the clubhouse area is 40 ft² -6 ft² -10 ft² = 24 ft².

The difference between group 1 and group 2 is the species of group 1 are vertebrates and species of group 2 are invertebrates.

Vertebrates are those animals that have a spinal cord.

Invertebrates are those who do not have a spinal cord or vertebrae.

The animals, of group 1 are alligator, fish, frog, bird, and zebra, all are vertebrates.

The animals of group 2 are jellyfish, octopus, tarantula, and earthworms.

Thus, the correct option is C, group 1 are vertebrates, and group 2 is invertebrates.

Learn more about vertebrates

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[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Adjacent Angles are the angles that shares a common arm, where as the vertical angles are the ones that are exact opposite to each other.

Now, since we know the concept, let's dig in ~

Answer:

[tex]\displaystyle 36 = x[/tex]

Step-by-step explanation:

[tex]\displaystyle \frac{x}{2} + 6 = 24 \hookrightarrow 18[2] = \frac{x}{2}[2] \\ \\ \boxed{36 = x}[/tex]

I am joyous to assist you at any time.

Hey there!

x/2 + 6 = 24

1/2x + 6 = 24

SUBTRACT 6 to BOTH SIDES

1/2x + 6 - 6 = 24 - 6

CANCEL out/ 6 - 6 because it give you 0

KEEP: 24 - 6 because it help solve for the x-value

NEW EQUATION: 1/2x = 24 - 6

SIMPLIFY IT!

1/2x = 18

MULTPLY 2 to BOTH SIDES

1/2x * 2 = 18 * 2

CANCEL out: 1/2 * 2 because it give you 1

KEEP: 18 * 2 because it help solve for the x-value (it actually give you the x-value)

NEW EQUATION: x = 18 * 2 or x = 2 * 18

SIMPLIFY IT!

x = 36

Therefore, your answer is: x = 36

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

To find which fractions are equal to each other, we must simplify or multiply to both denominator and numerator:

          [tex]\frac{2}{6} =\frac{1*2}{3*2} =\frac{1}{3}*\frac{2}{2}=\frac{1}{3}*1= \frac{1}{3} \\\\\frac{8}{1}=8\\ \\\frac{2}{4} =\frac{1*2}{2*2} =\frac{1}{2}*\frac{2}{2} =\frac{1}{2} *1= \frac{1}{2} =\frac{1}{2}*1 =\frac{1}{2}*\frac{4}{4} =\frac{1*4}{2*4}=\frac{4}{8} \\\\\frac{2}{8} =\frac{1*2}{4*2}=\frac{1}{4}*\frac{2}{2} =\frac{1}{4} *1 =\frac{1}{4} \\\\\frac{4}{4} =1[/tex]

Hope that helps!

Answer:

2/6 = 1/3

8/1 = 8

2/4 = 4/8

2/8 = 1/4

4/4 = 1

Step-by-step explanation:

2/2 = 1 and 6/2 = 3 so that would make the equivalent fraction 1/3

for 8/1 it is the same as just 8

2*2 = 4 and 4*2 = 8 so that would make the equivalent fraction 4/8

and 2/8 is 1/4

and 4/4 is just 1  

PLEASE RATE!! I hope this helps!!

If you have any questions let me know

Answer: AAS

Step-by-step explanation:

Answer:

angle A = 153 degrees

Step-by-step explanation:

solve for the interior missing angle.

so from the interior we know that we have 2 angles

1 is 63 degrees and 1 is 90 degrees because we see that there is a right angle and all right angles = 90 degrees, we also know that the sum of all angles in a triangle should equal 180 degrees. if we have a 63 degree angle and a 90 degree angle we know that the sum of both of them is 153 degrees we still need to find that missing angle and we can do that by minusing 153 from 180 which is 27 so the measurement of the interior angle of the triangle is 27 but that is not what we are looking for but the answer is already given to us because we know that a straight line is 180 degrees so we just minus that missing angle from 180 degrees we conclude that A = 153 degrees

Answer:

The value of k = 16 and the measure of unknown angle is 48°

Step-by-step explanation:

=> 84°+48°+3k° = 180° { The sum of angles of a triangle is 180° }

=> 132°+3k° = 180°

=> 3k° = 180°-132°

=> 3k° = 48°

=> k = 48/3

=> k = 16

The measure of unknown angle is 3×k = 3×16 = 48°

Angle of elevation would be 66 degrees

Answer:

Step-by-step explanation:

1. То find the coordinates of point B, since it is a translation of point A 4 units right and 5 units up, we can add 4 to the x coordinate of point A and add 5 to the y coordinate of point A. This gives us that B(2+4,3+5) = (6,8)

2. Similarly, we can subtract 8 from the x coordinate of point C and subtract 2 from the y coordinate of point C. This gives us that point D has coordinates (1,5).

Answer:

they want you to take what you have (point a and point c) and take the moving places and add it to their respected points

if that doesnt help then...

point A is (2,3)

point B is (2,3) + to the right 4 and up 5 which turns the 2 into a 6 and the 3 into an 8

point b is (6,8)

point c is (9,7)

point d is (9,7) + 8 spaces to the left and 2 spaces down which makes the 9 into a 1 and the 7 into a 5

point d (1,5)

Step-by-step explanation:

Answer:

A is the answer

// x = -2(y + 3)2-1

Answer:

x=-1

Step-by-step explanation:

First we can square both sides to remove the square roots:

[tex](\sqrt{x+7})^{2} +(\sqrt{x+2})^{2} = (\sqrt{6x+13})^{2}[/tex]

Simplify:

[tex]x+7+x+2=6x+13[/tex]

Now we simplify further:

[tex]2x+9=6x+13[/tex]

Now we subtract 13 from both sides:

[tex]2x+9-13=6x+13-13[/tex]

Simplify:

[tex]2x-4=6x[/tex]

Subtract 2x from both sides:

[tex]2x-4-2x=6x-2x[/tex]

Simplify:

[tex]-4=4x[/tex]

Divide both sides by 4:

[tex]\frac{-4}{4} = \frac{4x}{4}[/tex]

Simplify:

-1=x

x=-1

Answer:

its 15 <3

Step-by-step explanation:

i did the quiz.

Answer:

Answer:

SORRY

Step-by-step explanation:

ANSWER

Step-by-step explanation:

Answer:

SORRY

Step-by-step explanation:

ANSWERAnswer:

SORRY

Step-by-step explanation:

ANSWER

Answer:

[tex]=7\frac{10}{27}[/tex]

Decimal: 7.37

Step-by-step explanation:

[tex]9\frac{5}{9} -2\frac{5}{27} =\frac{81+5}{9} -\frac{54+5}{27} =\frac{86}{9} -\frac{59}{27}[/tex]

[tex]\frac{258}{27} -\frac{59}{27} =\frac{199}{27}[/tex]

[tex]=7\frac{10}{27}[/tex]

Hope this helps

Unit conversion is a way of converting some common units into another without changing their real value. The amount that is paid by the family in mortgage per month is equal to $1200.

Unit conversion is a way of converting some common units into another without changing their real value. for, example, 1 centimetre is equal to 10 mm, though the real measurement is still the same the units and numerical values have been changed.

As it is given to us that the family uses 12,986.64 Swiss francs per year to pay a mortgage. Therefore, the amount that is paid by the family in mortgage per month can be written as,

[tex]\text{Mortgage for a month} = \dfrac{\text{Mortgage of the family for a complete year}}{\text{Number of Months}}\\\\\\\text{Mortgage for a month} = \dfrac{\rm 12,986.64\ Swiss\ francs}{12} = 1082.22\rm \ Swiss\ francs[/tex]

Thus, the family needs to pay 1082.22 swiss francs every month in the mortgage.

Now, it is mentioned in the problem that 1 Swiss franc = 1.11 US dollars, therefore, 1082.22 swiss francs when converted to US dollars will be equal to,

[tex]\rm 1\ Swiss\ francs = \$1.11 \\\\1082.22\ Swiss\ francs = 1082.22 \times 1.11 = \$1,201.26 \approx \$1,200[/tex]

Hence, the amount that is paid by the family in mortgage per month is equal to $1200.

Learn more about Units conversion:

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Answer:

2100

Step-by-step explanation:

The true statement about the equation of the line of best fit (d) For every year a person gets older, their screen time decreases by 3.2 minutes

The equation of the line of best fit is given as:

y = -3.2x + 274.4

Where:

A linear equation is represented as:

y = mx + b

Where:

By comparison, we have:

m = -3.2 and b = 274.4

This means that:

For every year a person gets older, the average screen time decreases by 3.2 minutes

Hence, the true statement is (d)

Read more about line of best fit at:

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Answer:

312.3 feet

Step-by-step explanation:

ML = 18 and KM = 25 so we can put together that JM = 17.35

17.35 x 18 = 312.3 ft

Hope this helps K12 students :)

Answer:

FIRST ONE IS 300

Step-by-step explanation:

5X8X7.5=300 l x w x h

Answer:

Question A:
Your Answer would be:
C.) 300ft2

5 x 8 x 7.5 =
(5 x 8) x 7.5 =
40 x 7.5 = 300ft2


Question B:
Your answer would be:
C.) 39.25in2
(not very sure about this one let me know if it's right or wrong)



Step-by-step explanation:

Have a great rest of your day
#TheWizzer

Answer: -4

Step-by-step explanation:

Once you graph it, the solutions are where the graph meets the x axis.

This is at -4 and 9.

Answer:

Step-by-step explanation:

[tex] \qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Here we go ~

To find Highest common factor (HCF) we have to check what primes are common between them along with their exponent. And multiply them ~

here, we get [ 2³ and 3 as common ]

[tex]\qquad \sf  \dashrightarrow \:HCF = {2}^{3} \times 3 [/tex]

[tex]\qquad \sf  \dashrightarrow \:HCF = {8}^{} \times 3 [/tex]

[tex]\qquad \sf  \dashrightarrow \:HCF = 24[/tex]

So, HCF of the given numbers is 24

(Assuming all these lines are parallel to each other)

Angle x = 70, because it is corresponding to the 70 angle.

Angle y = 70, because it is corresponding to x

Angle z = 70, because angle z and angle y are alternate angles

(corresponding angles and alternate angles are equal to each other with the condition of parallel lines)

The triangles PQR and PMN are similar triangles

The ratio MN/ QR is 2/3

The question is incomplete, as the figure of the triangles are not given.

So, I will give a general explanation

The given parameters are:

PM= 2MQ

PN = 2NR

Rewrite PM= 2MQ  as:

PM/MQ = 2/1

The equation becomes

PM/(PM + MQ) = 2/(2 + 1)

PM/(PM + MQ) = 2/3

Add PM and MQ

PM/PQ = 2/3

The above means that:

PM/PQ = MN/ QR = 2/3

Hence, the ratio MN/ QR is 2/3

Read more about similar triangles at:

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Answer:

3

Step-by-step explanation:

it is 3 because if the x value is 5 then the y value is 3

Answer:

Step-by-step explanation:

Given the question and the image, the following are the solution steps to answer the question.

STEP 1: Define box plot.

In descriptive statistics, a box plot or boxplot is a method for graphically demonstrating the locality, spread, and skewness groups of numerical data through their quartiles.

STEP 2: Choose the correct statement

The box plot shows the minimum height, maximum height, first and third quartiles, and the median.

Therefore,

The box plot does not show the number of vases recorded

The box plot does not show the heights of mugs, just vases.

The height is measured in inches, not centimeters.

Answer:

3/2

use a calculator to try it on your own

do the 1/4 - 4/9 (4/2/3-11/12) first

then times 9/17

then plus 1/1/8

at last divide by 9/16