29. The circumference of a circle is 16 cm.
What is the diameter of the circle to
the nearest tenth? Use 3.14 for T.
A
about 50.3 cm B
about 25.1 cm
C
about 5.3 cm
D
about 5.1 cm

The number that Goran can choose, which will be multiples of 2, 6, and 8, between 67 and 113 are 72, 96

To find out the numbers that Goran can choose, find the multiples of 2, 6, and 8 that are between 67 and 113. Then the common multiples of these numbers within that range, are the numbers to be chosen.

Multiples of 2 between 67 and 113 :

68, 70, 72, 74, 76, 78, 80, 82, 84, 86, 88, 90, 92, 94, 96, 98, 100, 102, 104, 106, 108, 110, 112

Multiples of 6 between 67 and 113 :

72, 78, 84, 90, 96, 102, 108,

Multiples of 8 between 67 and 113 :

72, 80, 88, 96, 104, 112

The numbers that are multiples of 2, 6, and 8 are:

72, 96

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1. Area of a circle is pi x R^2

Area = 3.14 x 18^2

Area = 3.14 x 324= 1017.36 sq. In.

The blade covers 122 out of 360 degrees.

1017.36 x 122/360 = 345 square inches.

2.

Like above.

Area =3.14 x 75^2 = 17,662.5 square feet

17662.5 x 80/360 = 3,925 square feet.

The range is the best measure of variability for this data, and its value is 4.

The line plot displays the number of roses purchased per day at a grocery store, with the data values ranging from 0 to 4 (since there are no dots above 4).

The best measure of variability for this data is the range, which is the difference between the maximum and minimum values in the data set. In this case, the minimum value is 0 and the maximum value is 4, so the range is:

Range = Maximum value - Minimum value = 4 - 0 = 4

Therefore, the range is the best measure of variability for this data, and its value is 4.

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Answer:

72 m is the answer

hope this helped

Answer:

72 m

Step-by-step explanation:

circumference= 14

the radius of the circle.

\(r = \frac{c}{2\pi} \)

\( r= \frac{14}{2 \times \pi} \)

\(r = 2.22817\)

\(r = 2.23\)

hence the radius of the circle is 2.23

The equation of the line shown on the graph is y = 3x + 2

The equation of the line;

The equation of a line given in slope-intercept form is expressed as y = bx + c

where b = slope ; c = intercept

slope, b = (y2 -y1) / (x2 - x1)

b = (2 - 0) / (2/3 - 0)

b = 2 / (2/3)

b =  2 × 3/2

b = 3

The intercept, c is the point where the line crosses the x-axis. Here , c = 2

Hence, the equation of the line can be expressed as ;

y = 3x + 2

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Answer:

the answer is 10 percent off because that is 13 dollars

Step-by-step explanation:

if you do 130 times 10 it is 1300, then divide by 100 it equals 13 dollars off. if you did the other coupon it would only be 10 dollars off

The surface area of the cylinder in term of π is 6764πmm^2

A cylinder is a three-dimensional solid that contains two parallel bases connected by a curved surface. The bases are usually circular in shape. The perpendicular distance between the bases is denoted as the height “h” of the cylinder and “r” is the radius of the cylinder.

The total surface area of a cylinder is 2πr(r+h)

Where r is the radius and h is the height of the cylinder

therefore T.S.A= 2×38π(38+51)

T.S.A=76π×89

The total surface area(T.S.A) of the cylinder =6764πmm^2

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Answer:

y = 14

Step-by-step explanation:

y = k\(\sqrt{x}\)  Solve for k

7 = k\(\sqrt{9}\)

7 = k3  Divide both sides by 3 to solve for k

\(\frac{7}{3}\) = k  

y = kx

y  = \(\sqr\frac{7}{3} }\)\(\sqrt{36}\)

y = \(\frac{7}{3}\)(6)

y = 14

\(\frac{7}{3}\)\((\frac{6}{1})\) is the same thing as \(\frac{7}{1}\)\((\frac{2}{1})\)  I cross canceled the 3 and the 6

\(\frac{14}{1}\) = 14

Answer:

0.

Step-by-step explanation:

I am assuming you want to evaluate

(sin10+cos10)²(1-sin20)-cos²20

That evaluates to 0.

A function assigns the values. When in the function f(x)=x, f(x) is replaced by 4f(x), the slope of the function reduces by a factor of 4.

A function assigns the value of each element of one set to the other specific element of another set.

Given the function f(x) is equal to x. If f(x) in the given function is replaced with 4f(x), then the result will be,

\(4f(x) = x\\\\f(x)=\dfrac{x}4 \\\\ f(x) = \dfrac14 \times x\)

Hence, when in the function f(x)=x, f(x) is replaced by 4f(x), the slope of the function reduces by a factor of 4.

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Answer:

1.375 lbs

Step-by-step explanation:

Option - D - Image 3and 4 is correct

We have the following images.

We have to classify which image is a tessellations.

tessellations is also called tiling which involves the covering up of rigid plane surface using the geometric shapes (tiles) ensuring that these shapes don't overlap and leave no gap.

In the image 3, we have a geometric shape called triangle which is used as a tile to cover the surface. These shapes don't overlap and leave no gap as they perfectly fit with one another. Similar is the case with image 4, where hexagonal tiles are used. Therefore, image 3 and 4 are tessellations. The images 1 and 2 does not have any predefined geometric shape and nothing can be said about their perfect fit. Hence these are not tessellations.

Hence, Option - D is correct.

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The angle between the sides measuring 4 and 5 in the obtuse triangle is approximately 101.54 degrees.

To find the measure of the angle between the sides measuring 4 and 5 in an obtuse triangle with side lengths 4, 5, and 7, we can use the Law of Cosines. The Law of Cosines states that in a triangle with side lengths a, b, and c, and an angle opposite to side c, the following equation holds:

\(c^2 = a^2 + b^2 - 2ab*cos(C)\)

In this case, we have side lengths a = 4, b = 5, and c = 7. We want to find the angle C, which is opposite to side c. Substituting these values into the Law of Cosines, we get:

\(7^2 = 4^2 + 5^2\)- 2(4)(5)*cos(C)

49 = 16 + 25 - 40*cos(C)

49 = 41 - 40*cos(C)

40*cos(C) = 41 - 49

40*cos(C) = -8

cos(C) = -8/40

cos(C) = -0.2

To find the measure of angle C, we can take the inverse cosine (arccos) of -0.2:

C = arccos(-0.2)

Using a calculator, we find that C ≈ 101.54 degrees.

Therefore, the measure of the angle between the sides measuring 4 and 5 in the obtuse triangle is approximately 101.54 degrees.

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Answer:

he can run 24240 kilometers

Step-by-step explanation:

Answer:

765

Step-by-step explanation:

The constant differences between the consecutive terms are 2 (a); 2 (b), -3 (c), 7 (d), 1(e), and 6(f).

In math, the constant difference can be defined as the number that defines the pattern of a sequence of numbers. This means that number that should be added or subtracted to continue with the sequence.

Due to this, to determine the constant difference it is important to observe the pattern and find out the number that should be added. For example, if the sequence is 2, 4, 6, 8, there is a difference of 2 between each of the numbers and this is the constant difference.

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Answer:

Step-by-step explanation:

56565656565656565656565

Answer:

x = 5

y = 1

Step-by-step explanation:

2x - y = 9

3x + 4y = 19

We multiply the first equation by 4

8x - 4y = 36

3x + 4y = 19

11x = 55

x = 5

Now we put 5 in for x and solve for y

2(5) - y = 9

10 - y = 9

-y = -1

y = 1

Let's Check the answer

2(5) - 1 = 9

10 - 1 = 9

9 = 9

So, x = 5 and y = 1 is the correct answer.

Answer:

x≤-1 or x>4

Step-by-step explanation:

3-2x≥5 or 3(x-2)+1>7

remove bracket and group like terms

-2x≥5-3 or 3x-6+1>7

-2x≥2 or 3x>7+6-1

-2x≥2 or 3x>12

Divide both side by the co-efficient of x

-2x/-2≥2/-2 or 3x/3>12/3

x≥-1 or x>4

Hi :)

\(\star\sim\star\sim\star\sim\star\sim\star\sim\)

    - we just insert the number for slope before x in the y=mx+b formula and then write the y-intercept

\(\star\sim\star\sim\star\sim\star\sim\star\sim\)

The Distance the handler will move from the starting point to the return point will be approximately 439.8204 feet.

The distance the handler will move from the starting point to the return point when creating an arc of a circle with a radius of 70 feet, we need to find the length of the arc.

The formula to calculate the length of an arc is given by:

Length of arc = (θ/360) * 2πr

Where:

θ is the central angle of the arc (in degrees)

r is the radius of the circle

In this case, since the handler is creating a full circle, the central angle is 360 degrees.

Length of arc = (360/360) * 2π * 70

Length of arc = (1) * 2π * 70

Length of arc = 2π * 70

Length of arc = 140π

To find the approximate value in feet, we can use the approximation π ≈ 3.14159.

Length of arc ≈ 140 * 3.14159

Length of arc ≈ 439.8204 feet

Therefore, based on the given theory and using a circle with a radius of 70 feet, the distance the handler will move from the starting point to the return point will be approximately 439.8204 feet.

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height: 6-2=4 units

length: 9-3=6 units

4×6=24

-> 24 units

It takes 10 minutes for the number of bacteria in the population to double.

To determine the time it takes for the number of bacteria in a population to double, we need to find the value of t when the function f(t) equals twice the initial number of bacteria.

The given function is f(t) = 60,000 * 2^(t/10).

To find the time it takes for the number of bacteria to double, we set f(t) equal to twice the initial number of bacteria, which is 2 * 60,000 = 120,000:

120,000 = 60,000 * 2^(t/10).

Next, we can simplify the equation by dividing both sides by 60,000:

2 = 2^(t/10).

Since both sides of the equation have the same base (2), we can equate the exponents:

t/10 = 1.

To solve for t, we multiply both sides by 10:

t = 10.

Therefore, it takes 10 minutes for the number of bacteria in the population to double.

This result is obtained by setting the growth rate of the bacteria population in the given function. The exponent t/10 determines the rate of growth, and when t is equal to 10, the exponent becomes 1, resulting in a doubling of the initial number of bacteria.

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Answer: 120% is 1.2 in decimal form.

215% 2.15

345%  345

450% 4.50

51% 0.51

63% 0.63

75% 0.75

86$ 0.86

Step-by-step explanation:

Answer:

each team will have 14 seventh graders and 9 eighth graders

Given:

There are given the height, length, and width.

Where,

Explanation:

According to the question:

We need to find the surface area of the box:

Then,

To find the value, we need to use the surface area of a rectangular box:

So,

From the formula of the surface area of the rectangle box:

Then,

Put the height, width, and length into the given formula:

Then,

Final answer:

Hence, the correct option A.

Answer:

Step-by-step explanation:

4/5 = 0.8

Length of 1 piece = 12.8 feet

She cut this into 5 equal pieces.

That gave her 12.8 / 5 = 2.56 feet per piece.

If you need the fraction, it is 2 14/25

This is 2 feet and a little more than 6 inches.