WHAT IS THE CIRCUMFERENCE OF THE BASE OF A CYLINDER

Answer:

196 miles

Step-by-step explanation:

To find the distance that the bus drives, we can use the formula:

distance = rate x time

where rate is the average speed and time is the duration of the trip.

In this case, the average speed of the bus is 56 mph and the duration of the trip is 3 1/2 hours. However, it is easier to work with time in terms of a single unit, so let's convert 3 1/2 hours to 7/2 hours:

3 1/2 hours = (2 x 3) + 1/2 hours = 7/2 hours

Now we can plug in the values into the formula:

distance = rate x time

distance = 56 mph x 7/2 hours

We can simplify by multiplying 56 by 7 and then dividing by 2:

distance = (56 x 7) / 2 = 196 miles

Answer:

Step measure of 1

st

Boy=63cm

Step measure of 2

nd

Boy=70cm

Step measure of 3

rd

Boy=77cm

LCM of 63,70,77

LCM=2×3×3×5×7×11=6930

Hence, the minimum distance each should cover so that all can cover the distance in complete steps is 6930 cm.

2 ∣

63,70,77

3 ∣

63,35,77

3 ∣

21,35,77

5 ∣

7,35,77

7 ∣

7,7,77

11 ∣

1,1,11

1,1,1

Step-by-step explanation:

P.S- like my comment and more thanks

Answer:

6930 cm

Step-by-step explanation:

To find the minimum distance that all three boys can cover in complete steps, we need to find the least common multiple (LCM) of their step lengths.

The least common multiple (LCM) of two or more integers is the smallest positive integer that is divisible by each of the given numbers without leaving a remainder.

The step lengths of the three boys are 63 cm, 70 cm, and 77 cm.

To find the LCM of 63, 70 and 77, first find the prime factorization of each number.

Prime factorization is the process of expressing a positive integer as a product of its prime factors.

Prime factorization of 63:  3 × 3 × 7 = 3² × 7

Prime factorization of 70:  2 × 5 × 7

Prime factorization of 77:  7 × 11

To find the LCM, take the highest power of each prime factor that appears in any of the numbers and multiply them together:

\(\begin{aligned} \implies \sf LCM &= 2 \times 3^2 \times 5 \times7 \times11 \\&= 2 \times 9 \times 5 \times 7 \times11 \\&= 18 \times 5 \times 7 \times11 \\&= 90 \times 7 \times11 \\&= 630 \times11 \\&=6930\end{aligned}\)

Therefore, the minimum distance each boy should cover so that all can cover the distance in complete steps is 6930 cm.

Answer:

1.total distance traveled

2.total time traveling

Step-by-step explanation:

I took the test :)

The medicine bottle has 120 doses of 100 miligram each.

As per the known fact, 1000 miligram is 1 gram. So, the amount of medicine in the bottle in milligrams = 12×1000

Performing multiplication on Right Hand Side of the equation

Amount of medicine in bottle = 12000 milligrams.

Now, number of dose of 100 miligram medicine = 1

Amount of dose of 12000 miligram medicine = (1/100)×12000

Performing division and multiplication on Right Hand Side of the equation

Amount of doses in 12000 miligram medicine = 120

Thus, there are 120 doses in a medicine.

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Answer:

d= sqrt(7p)

multiply both sides by 7,take the square root of both sides

Answer:

i think 7

Step-by-step explanation:

you cant go diagonal and count it as one unit. however doing stairs up to the second point gets you 7 units

Answer:

0.6293

Step-by-step explanation:

The \(z\) score for $24000 is \(\frac{24000-25000}{3000} \approx 0.333\).

\(P(z<0.333)=0.6293\)

Each tile has a surface area of 1 × 1 = 1 square foot since each tile is 1 foot long. As a result, the total mosaic's area is 49 x 1, or 49 square feet.

The overall area that a three-dimensional object's surface occupies is known as surface area. Square units like square inches, square meters, and square feet are used to convey it. By adding up the areas of all the object's faces or surfaces, surface area is determined. By summing the areas of the cube's six faces, for instance, it is possible to get the surface area of a cube.

given

There are 7 rows and 7 tiles in the mosaic, making a total of 7 x 7 = 49 tiles in the mosaic.

Each tile has a surface area of 1 × 1 = 1 square foot since each tile is 1 foot long.

As a result, the total mosaic's area is 49 x 1, or 49 square feet.

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The complete question is:-   Mark's window store made a mosaic for the community center. The mosaic had a 7 x 7 array of different color square tiles. If each tile is 1ft long, what is the area of the whole mosaic?

The correct answer is c. The relationship between the independent variable and the cost being estimated is linear.

This is an implicit assumption associated with the use of factors because factors assume that there is a linear relationship between the independent variable and the cost being estimated. If the relationship is non-linear, then factors may not accurately predict future costs.

Factors are used to estimate costs by identifying the factors that are most likely to affect the cost and then using historical data to develop a relationship between those factors and the cost.

The relationship between the independent variable and the cost being estimated is assumed to be linear. This means that the cost will increase or decrease in a straight line as the independent variable increases or decreases. If the relationship is non-linear, then factors may not accurately predict future costs. For example, if the cost of a product is increasing at an increasing rate, then factors may not be able to accurately predict the cost of the product in the future.

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Answer:

$2.70

Step-by-step explanation:

to find out he marks up each shirt by, just do 45% of 6 or 0.45 * 6 = $2.70

If Jerry buys a t-shirt for $6 and sells it for 45% more than she bought it, then jerry is selling them for $8.70 and making $2.70 for each t-shirt she sells, because 45% of 6 is 2.7

You can find this answer by multiplying the percentage by the number (.45 x 6)

Answer:

0.8 miles

Step-by-step explanation:

Answer:

5.2 miles

Step-by-step explanation:

Airport to Arcadia is one leg of right triangle = x

Airport to Stafford is leg2 of right triangle  = 7.6

9.2 miles is hypotenuse of right triangle

Pythagorean theorem:

x^2 + 7.6^2 = 9.2^2

x = ~ 5.2 miles

Answer: 204ft or 68yd

Step-by-step explanation:

Answer:

C) √210 yd

Step-by-step explanation:

a² + b² = c², c is the longest side (hypotenuse)

c² - b² = a²

(√226)² - 4² = x²

226 - 16 = x²

210 = x²

x = √210

Hope this helps!

Answer:

root 210

Step-by-step explanation:

u see this is how the Pythagorean theorem works a^2 + b^2 = c^ i hope this helps have a great day bye please mark as brainliest :D

Answer:

C: \(\frac{1}{8*8*8*8*8*8*8*8}\)

Step-by-step explanation:

\(a^{-n} = \frac{1}{a^n}\)

Since a = \(8^2\) :

\((8^2)^{-n} = \frac{1}{(8^2)^n} =\frac{1}{8^{2n}}\)

Since n = 4 :

\((8^2)^{-4} =\frac{1}{8^{2*4}}=\frac{1}{8^{8}}=\frac{1}{8*8*8*8*8*8*8*8}\)

Answer:

36/100

Step-by-step explanation:

easy

Answer:

433 m²

Step-by-step explanation:

Find the side length of the square first.

Apply Pythagoras Theorem on 1 of the triangles on the right, to find its remaining side.

\( \sqrt{ {12}^{2} - {9.6}^{2} } \)

=\( \sqrt{51.84} \)

= 7.2 m

Therefore the side of the square is

7.2 ×2

= 14.4 m

The area of the square

= 14.4²

= 207.36 m²

You are able to find the area if of the 2 triangles.

(7.2 × 9.6)÷2 ×2

= 69.12 m²

The height of the pentagon

= 25.4 - 7.2

= 18.2 m

The area of the pentagon

= (10+7.2) × 18.2 ÷ 2

= 156.52 m²

Add up the areas of the 3 polygons.

The area of the shape

= 207.36 + 69.12 + 156.52

= 433 m²

Answer:

D

Step-by-step explanation:

when x=2,6 then y=0

when y=12 then x=0

only applies for D

f(x) function increases faster.

From the question, we have

g(x) =5/2x-3

At x =0, g(x) = -3

At x =1, g(x) = -1

Hence, f(x) function increases faster.

Subtraction:

Subtraction represents the operation of removing objects from a collection. The minus sign signifies subtraction −. For example, there are nine oranges arranged as a stack (as shown in the above figure), out of which four oranges are transferred to a basket, then there will be 9 – 4 oranges left in the stack, i.e. five oranges. Therefore, the difference between 9 and 4 is 5, i.e., 9 − 4 = 5. Subtraction is not only applied to natural numbers but also can be incorporated for different types of numbers.

The letter "-" stands for subtraction. Minuend, subtrahend, and difference are the three numerical components that make up the subtraction operation. A minuend is the first number in a subtraction process and is the number from which we subtract another integer in a subtraction phrase.

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\(\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}\)

Given expression ,

\( \frac{1}{8} . \frac{1}{8} .y.y.y \\ \)

this can also be written as ,

\( \frac{1}{8} \times \frac{1}{8} \times y \times y \times y \\ \\ \longrightarrow \: \frac{y {}^{3} }{64} \)

hope helpful ~

Using Linear Approximation, the estimate of cos(62°) - cos(60°) is approximately 0.530153 - 0.5 = 0.030153 (rounded to six decimal places).

To use Linear Approximation to estimate cos(62°) - cos(60°), we'll follow these steps:

1. Choose a point near 62° where the cosine function is easier to compute, such as 60° (which is in radians, π/3).
2. Find the derivative of the cosine function: d/dx(cos(x)) = -sin(x).
3. Evaluate the derivative at the chosen point (60°): -sin(60°) = -sin(π/3) = -√3/2.
4. Use the linear approximation formula: Δy ≈ f'(x0)Δx, where Δy is the change in y (cosine values), f'(x0) is the derivative at the chosen point, and Δx is the change in x (angle).
5. Compute Δx: 62° - 60° = 2° (convert to radians: 2° * π/180 ≈ 0.0349 radians).
6. Plug the values into the linear approximation formula: Δy ≈ (-√3/2)(0.0349) ≈ -0.030153.
7. Now, subtract the linear approximation from the original cosine value at 60°: cos(60°) - Δy = cos(π/3) - (-0.030153) = 1/2 + 0.030153 ≈ 0.530153.

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Answer:

The very last pair

Step-by-step explanation:

Both same angles and sides as well as in the same position.

Answer: you would use the last option

Answer: significant

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

1,000 divided by 3.5% is 35

35 x 3 is 105

Since you are just asking for just the interest and not the total the answer is 105

The interest that Amy should pay is $105.

Given that,

Based on the above information, the calculation is as follows:

\(= 1000 \times 3.5\% \times 3\)

= 105

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Answer:

Go right 4 blocks. Then go down 3 blocks.

Step-by-step explanation:

From Brianna's house at (1,6), move 4 blocks to the right and you will be at (5,6). Next, move 3 blocks down and you will be at Jordan's house at (5,3).

Answer:

-2, -4

Step-by-step explanation:

Answer:

5/12 of rain came, or 10 inches

Step-by-step explanation:

complete rain be 1

then, =1-(1/4+1/3)

=1-(3+4/12) take lcm

=1-7/12

=12-7/12 again lcm

= 5/12

or

1/4 of 24 inches means 1/4×24= 6 inches

1/3 of 24 inches, then 1/3×24= 8 inches

therefore, rest of the months get

= 24-(6+8)

=24-14

=10 inches

Answer: [See attached immage]

The Answer:    I really hope this helps!!!

The equation y = 3x - 5 is an illustration of a linear equation

The slope is 3, and the y-intercept is -5

The equation of the table is given as:

y = 3x - 5

When x = -1, we have:

y = 3(-1) - 5 = -8

When x = 0, we have:

y = 3(0) - 5 = -5

When x = 1, we have:

y = 3(1) - 5 = -2

So, the complete table is:

x     y

-1    -8

0      -5

1       -2

A linear equation is represented as:

y = mx + b

Where:

m represents the slope and b represents the y-intercept.

By comparison, we have:

m = 3, and b = -5

Hence, the slope is 3, and the y-intercept is -5

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