The circumference of a circle is 80ft. What is the area of the circle? (Rounded to the nearest square foot)

Answer:

The diameter is 14

Step-by-step explanation:

The area of a circle is given by

A = pi r^2

We know the area is 49 pi

49 pi = pi r^2

Divide each side by pi

49 pi/ pi = pi r^2/pi

49 = r^2

Take the square root of each side

sqrt(49) = sqrt(r^2)

7 =r

We want the diameter

d = 2r

d = 2*7

d = 14

Answer:

46

Step-by-step explanation:

So angle b equals to 46 degrees

Complementary angles equal to 90 degrees when added together. So set the equation to 90.

44+x=90

Subtract 44 from both sides

x=46

Answer:

The probability that the state will be hit by a major tornado two years in a row is 0.00309.

Step-by-step explanation:

Independent events are those events that are not affected by the occurrence (or no occurrence) of other events. These events do not affect the probability of another even taking place.

For example, the events of winning a lottery and being late for work are independent or the events of taking a cab home and making dinner are also independent.

In this case we are provided that the probability that a certain state will be hit by a major tornado is, [tex]\frac{1}{18}[/tex].

Consider the event that a state was hit by the major tornado.

The event of the major tornado hitting a state a second time next year is not dependent on the fact that it had already hit that state last year.

The two events are independent.

Compute the probability that the state will be hit by a major tornado two years in a row as follows:

P (Tornado hits twice) = P (Tornado in 1st year) × P (Tornado in 2nd year)

                                     [tex]=\frac{1}{18}\times \frac{1}{18}\\=0.00309[/tex]

Thus, the probability that the state will be hit by a major tornado two years in a row is 0.00309.

The probability that a state will be hit by a major tornado two years in a row, given that the probability for any single year is 1/18, is 1 in 324.

The question is asking about the probability that a certain state will be hit by a major tornado two years in a row, given that the probability for any single year is 1/18. In this question, the two events are independent, meaning that the occurrence of a tornado in one year does not affect the occurrence of a tornado in the next year. Therefore, we can simply multiply the probabilities for each year to find the two-year probability.

To calculate, we take the probability of a tornado in one year (1/18) and multiply it by the same probability for the next year (which is also 1/18).

So, the calculation is (1/18) * (1/18) = 1/324.

This means that the probability that the state will be hit by a major tornado two years in a row is 1 in 324.

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Answer:

I think it's 8\12

Step-by-step explanation:

there are numbers from 1 to six on each dice that means there are 12 numbers on the two dice together and it says four or less there are 1,2,3 and four on the dice that is four or less double that and you get 8when you put that over 12 it becomes 8/12. I hope it helps alot

The probability of rolling a sum of 4 or less with two dice is 6 out of 36 outcomes, which simplifies to 1/6 or 0.1667 when rounded to four decimal places.

To calculate the probability that the sum of two rolled dice will be 4 or less, we can list all possible outcomes (the sample space) and then count the favorable outcomes. A single six-sided die has 6 faces, so the total number of outcomes when rolling two dice is 6 × 6 = 36. The pairs of dice that sum to 4 or less are: (1,1), (1,2), (1,3), (2,1), (2,2), and (3,1). There are 6 such pairs, so the probability of rolling a sum of 4 or less is 6/36, which simplifies to 1/6.

The probability should be rounded to four decimal places if necessary, but in this case, the fraction simplifies exactly to 1/6. Therefore, the probability is 0.1667 when rounded to four decimal places.

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Answer:

A=lw+l(w

2)2+h2+w(l

2)2+h2

Step-by-step explanation:

Answer:

95 units²

Step-by-step explanation:

Find the area of the base and the four triangles

Base

(5)(5) = 25 units²

Triangles

1/2(7)(5)*4

1/2(140)

70 units²

Add them together -- 70+25 = 95 units²

Answer: 2.5

Step-by-step explanation:

One complete revolution equals 360 degrees. To find out how many revolutions 900 degrees represent, you divide 900 by 360 resulting in 2.5 revolutions.

To ascertain the number of revolutions in 900 degrees, consider that a full circle encompasses 360 degrees. Dividing 900 by 360 yields 2.5, revealing that 900 degrees translates to 2.5 revolutions. This calculation stems from the fundamental concept that each complete revolution covers 360 degrees. In essence, the formula involves dividing the given degree measure by the standard degree value for a full revolution. Consequently, this approach facilitates the conversion of angular measurements into a more comprehensible representation of revolutions, aiding in the interpretation of rotational or circular motions within mathematical or physical contexts.

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Answer:

7x2

Step-by-step explanation:

7x2 is 14 and all the other ones equal 7

4x+3x,(4+3)x, and 7x are equivalent except 7x^2

Let's solve:

4x+3x=7x

(4+3)x=7x

Hope it will help u...

Answer:

1105 cubic centimetre

Step-by-step explanation:

volume of rectangular prism

[tex] = 17 \times 13 \times 5 \\ = 1105 \: {cm}^{3} [/tex]

Answer:

9/6 or 3/2 or 1 1/2

Step-by-step explanation:

Do distributive property to get rid of the parenthesis

4x + 2x + 3 = 12

combine like terms

6x + 3 = 12

move the 3 over by subtraction

6x = 9

divide by 6

x = 9/6 or 3/2 or 1 1/2

Answer:

Exact Form:

X

=

3 /2

Decimal Form:

X

=

1.5

Step-by-step explanation:

Answer:

No it doesn’, the result will be 0 as -4 + 4 = 0

Try it on your calculator and see

Step-by-step explanation:

Answer:

Simplifying

0 = -4p + 4p

Combine like terms: -4p + 4p = 0

0 = 0

Solving

0 = 0

Couldn't find a variable to solve for.

This equation is an identity, all real numbers are solutions.

Step-by-step explanation:

Answer:

The answer is (-6).

Step-by-step explanation:

Order the numbers from smallest to largest.

Then start eliminiating one from left, one from right until you get the median. Since in our case the median is in between (-8) and (-4). Sum the numbers and divide them by 2.

Good luck!

Answer:

The number of tigers decays by a factor of

                                                                         [tex]\dfrac{4}{5}[/tex]    every    0.50 years  

Explanation:

The correctly written function is

         [tex]N(t)=650\cdot \bigg(\dfrac{16}{25}\bigg)^t[/tex]

Convert 16/25 into its equivalent form (4/5)²

          [tex]N(t)=650\cdot \bigg(\dfrac{4}{5}\bigg)^{2t}[/tex]

If you make t = 1/2, this is half-year, the population of tigers will decay by a factor of 4/5 in that time. Every time the half-year passes, the population is multiplied by 4/5, which means that the polulation will decay by a factor of 4/5 whenever half a year elapses.

Hence, the number of tigers decays by a factor of 4/5 every 0.50 years.

The tiger population model indicates a decay by a factor of 4/5 every year. This factor shows the yearly reduction rate for the tiger population in Siberia.

To determine the rate of change in the tiger population modeled by the function N(t) = [tex]650 \cdot \left(\frac{16}{25}\right)^t,[/tex] we look at the decay factor in the exponential function. The base of the exponent, [tex]\frac{16}{25}[/tex], indicates that the population is decaying.

This decay factor can be expressed as [tex]\frac{4}{5}[/tex], where every year, the number of tigers decays by a factor of  [tex]\frac{4}{5}[/tex]. Thus, we can complete the sentence as follows:

The number of tigers decays by a factor of  [tex]\frac{4}{5}[/tex] every year.

Answer:

(A)24 square units

(C)72 square units

(D)96 square units

Step-by-step explanation:

Triangular face

Height of the Triangle=6 Units

Base of the Triangle=8 Units

Area of the Triangular Face

[tex]=\frac{1}{2}bh\\ =\frac{1}{2}*8*6\\=24 $ square units[/tex]

Rectangular Faces

Area of Rectangular face with dimension 12 by 10=12 x 10=120 Square Units

Area of Rectangular face with dimension  12 by 8= 12 X 8=96 Square Units

Area of Rectangular face with dimension 12 X 6=12 x 6=72 Square Units

From the options, the areas are:

Answer:

acd

Step-by-step explanation:

Answer:

3.5 hours

Step-by-step explanation:

Use the formula:

distance=rate*time

224=64t

Divide by 64 on both sides

t=3.5

So, it takes 3.5 hours to travel 224 miles

Hope this helps! :)

Answer:

-.167= -1/6

Step-by-step explanation:

5/12+(-7/12)

=(5 × 12) + (-7 × 12)

_______________

          12 × 12

=-24/144

= -24 ÷ 24

      ________

        144 ÷ 24

= - 1

       _______

              6

Answer:

20y = -5x + 10

y = -1/4x + 1/2

y - 3 = -1/4(x - 8)

y - 3 = -1/4x + 2

y = -1/4x + 5

Step-by-step explanation:

Answer:

125=15d+50

Step-by-step explanation:

Subtract what she has from what she needs so 125-50=75

Then divide that by the amount of money she makes a day to figure out how many days she'll need to work so, 75/15=-5

She will have to work 5 days in order to have enough to buy her ticket

Answer:50+15d=125

5 days

Step-by-step explanation:

Subtract 50 from both sides to get 15d=75 then divide both sides by 15 and the answer is 5 days

Answer:

Step-by-step explanation:

0.53 is the answer to the nearest hundredth.

To calculate the cosine of ∠X in the right triangle WXY, we use the ratio of the adjacent side length (YW = 45) to the hypotenuse length (XW = 53), which results in approximately 0.85 when rounded to the nearest hundredth.

In ΔWXY, we're given that ∠Y is a right angle, meaning that the triangle is a right triangle. To find the cosine of ∠X, we can use the definition of cosine in a right triangle, which is the ratio of the adjacent side to the hypotenuse in the context of the angle we're interested in. Since ∠X is across from side YW, and XW is the hypotenuse, we'll take the length of YW as the adjacent side. The formula for the cosine of angle X then becomes:

cos(∠X) = adjacent/hypotenuse = YW / XW = 45 / 53

Calculating this value, we get cos(∠X) = 0.8490566037735849, which when rounded to the nearest hundredth is 0.85.

Answer:

5

Step-by-step explanation:

The fractions already have a common denominator of 5

Answer:

what does the shpe look like

Step-by-step explanation:

Answer:

perimeter=2

perimeter = 11

Step-by-step explanation:

Answer:

i wanna say yes it is a natural number, i hope this helps

Answer:

9 square feet.

Step-by-step explanation:

First, set up this equation: 486 = 6(x^2)

Divide 486 by 6 to get 81, and square root both sides to get x = 9.

Answer:

Claire will get 12,800 pounds of interest

Step-by-step explanation:

6.4% of 200,000 is 12,800

How did I get 6.4? 1.6 * 4 = 6.4

Answer:C=6

Step-by-step explanation:C directly proportional to D

C=kD where k=constant

C=32, D=4×4

32=k16

K=32÷16

K=2

Now D=3 and k=2

C=kD

C=2×3

C=6

Answer: c=18

Step-by-step explanation:

C is directly proportional to square of D

C € D2

€ rep directly proportional

C=kd2

K is a constant

C=32

D=4

Substitute

32=k(4^2)

32=k(16)

32=16k

K=32/16

K=2

Since we know our constant k to be 2

Substitute

We are looking for c,when d=3

C=kd2

C=2×(3^2)

C=2×9

C=18

Width is 3 cm and length is 12 cm

Step-by-step explanation:

Perimeter of the rectangle = 2 (length + breadth)

30 = 2(x + 4x)

30 = 10x

⇒ x = 30/10 = 3

⇒ 4x = 12

Answer:

Step-by-step explanation:

Volume = surface area of base * height

[tex]=\frac{25}{4}*\frac{8}{5}\\\\=5*2=10\\\\=10 units^{3}[/tex]

answer is 72 then pi symbol