Select all the shapes below that have a constant cross-section between a
pair of faces.
Sphere Cuboid
Cylinder Pyramid
Pentagonal prism
Cube
Cone

Answer:

It rotated 180 degrees

Step-by-step explanation:

If you use this image and paste in on to google docs you will be able to rotate the image. Use this tool so that your can identify the amount of degrees.

If the Quadrilateral A'B'C'D' is the image of quadrilateral ABCD under a rotation about the origin, (0,0) then the angle of rotation is option (c) 180 degrees

In geometry a quadrilateral is a four-sided polygon, having four edges and four corners

The angle of rotation is a measurement of the amount, of namely angle, that a figure is rotated about a fixed point, often the center of a circle.

Given,

Quadrilateral A'B'C'D' is the image of quadrilateral ABCD under a rotation about the origin, (0,0)

Consider the coordinates of D and D'

D(2,3) and D'(-2,-3)

Connect D and D'

∠D0D' = 180 Degrees

Hence, If the Quadrilateral A'B'C'D' is the image of quadrilateral ABCD under a rotation about the origin, (0,0) then the angle of rotation is option (c) 180 degrees

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The average rate of change for the interval from x =  7 to x =  8 is 35.  

To calculate the average rate of change for the interval from x =  7 to x =  8, we need to find the difference in y- values and divide it by the difference inx-values within that interval.

Let's calculate it step by step using the given table  

For the interval from x =  7 to x =  8  x1 =  7, y1 = -37  x2 =  8, y2 = -2   Difference in y- values Δy =  y2- y1 = -2-(- 37) =  35  

Difference inx-values Δx =  x2- x1 =  8- 7 =  1  

Average rate of change =  Δy/ Δx =  35/ 1 =  35  

Thus, the average rate of change for the interval from x =  7 to x =  8 is 35.   Note: It's important to mention that the values calculated then are grounded solely on the given data. Please  insure you  corroborate the  delicacy of the  handed data and  environment before using the answer in any important or critical  operations.

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Answer:

200 sheets

Step-by-step explanation:

Divide 5,000 by 25 to get 200 sheets of paper per box.

Answer:

750 pieces of paper

Step-by-step explanation:

can't

Answer:

About 38 feet

Step-by-step explanation:

The formula for a circle's circumference is 2 times pi times r, which is the radius.

Since the diameter is 12, the radius is half the diameter, so the radius is 6.

2 times pi times 6 is about 37.7 feet, or 38 feet.

Hope this helped.

You know that the sides of a square are increased by 2 inches: the expression should be written as (x+2)

The area is 25 square inches

The area of a square is s×s or s²

so it can be solved as:

(x+2)²=25

\((\sqrt{x+2})^{2} =\sqrt{25}\)

x+2=5

x=3

The length of the original side is 3 inches

Hope it helps!

45+35=80

100-80=20

360×20/100

72 so the answer is this and the formula E=T×%/100

Answer

its scale factor is ​4/3 and 0.75

Step-by-step explanation:

Answer:

Theoretical probability is a mathematical concept that represents the likelihood of an event occurring based on mathematical reasoning or calculation. It is calculated by dividing the number of favorable outcomes by the total number of possible outcomes in a given situation. For example, the theoretical probability of flipping a coin and getting heads is 1/2, because there is one favorable outcome (heads) out of two possible outcomes (heads or tails).

Experimental probability, on the other hand, is based on actual observations or experiments. It is calculated by conducting an experiment and counting the number of times an event occurs, then dividing that by the total number of trials. For example, if you flip a coin 100 times and get heads 55 times, the experimental probability of getting heads is 55/100 or 0.55.

The main difference between theoretical and experimental probability is that theoretical probability is based on mathematical calculations and reasoning, while experimental probability is based on actual observations and experiments. Theoretical probability is used to predict the likelihood of an event occurring, while experimental probability is used to estimate the likelihood of an event occurring based on observed data.

Answer:

15 girls

4x3=12 so u multiply 3 on both sides and 5 x 3=15

The probability of drawing a king from a standard deck of 52 cards is 1/13.

In a standard deck of 52 playing cards, there are four kings: the king of hearts, the king of diamonds, the king of clubs, and the king of spades.

To find the probability of drawing a king, we need to determine the ratio of favorable outcomes (drawing a king) to the total number of possible outcomes (drawing any card from the deck).

The total number of possible outcomes is 52 because there are 52 cards in the deck.

The favorable outcomes, in this case, are the four kings.

Therefore, the probability of drawing a king is given by:

Probability = (Number of favorable outcomes) / (Number of possible outcomes)

= 4 / 52

= 1 / 13

Thus, the probability of drawing a king from a standard deck of 52 cards is 1/13.

This means that out of every 13 cards drawn, on average, one of them will be a king.

It is important to note that the probability of drawing a king remains the same regardless of any previous cards that have been drawn or any other factors.

Each draw is independent, and the probability of drawing a king is constant.

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Answer:

30 miles

Step-by-step explanation:

Let the number of days = d

in 1/3 of a day, or 1/3d, he drove 10 miles

The equation is:

\(10 = \frac13d\)

To find out the number of miles driven in one whole day, we can multiply both sides by 3 or setting up a proportion

10 = 1/3d

10*3 = 1/3d * 3

30 = 1d

30 miles

\(\frac{10}{1} = \frac13\)

10*3 = 1*1                 Cross multiply

30 = 1

-Chetan K

Answer:

C  126 sq. units

Step-by-step explanation:

A = 1/2(b)(h)

A = 1/2(21)(12)

A = 1/2 × 252

A = 126 sq. units

Answer:

y = -1

Step-by-step explanation:

To find the distance above the ground at which the tack is, we need to calculate the vertical displacement of the front wheel when the tack was picked up.

First, let's determine the circumference of the front wheel. The circumference of a circle is given by the formula C = πd, where C is the circumference and d is the diameter. Given that the diameter is 26 inches, we can calculate the circumference:

C = π × 26

C ≈ 81.64 inches

This means that for every complete revolution of the wheel, Devon travels a distance of approximately 81.64 inches.

Next, we need to determine how many complete revolutions the front wheel made as Devon rolled another 100 feet (1200 inches). Since the circumference of the wheel is 81.64 inches, we can divide 1200 inches by 81.64 inches to find the number of revolutions:

1200 / 81.64 ≈ 14.68 revolutions

Now, we know that the tack was picked up after one full revolution. Therefore, out of the 14.68 revolutions, 13 complete revolutions have occurred. The tack is located at the point where the 14th revolution starts.

Since each revolution covers a distance equal to the circumference of the wheel, the vertical displacement of the tack is the height of the wheel, which is the radius of the wheel. The radius is half the diameter, so in this case, it is 26 / 2 = 13 inches.

Therefore, the tack is located 13 inches above the ground.

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Answer:

  a) 050

  b) 115

  c) 223

Step-by-step explanation:

Given diagrams in which the angles at A to B are shown, you want the 3-digit bearing of point B from A.

The bearing is the angle in degrees measured clockwise from north. It is a positive value in the range 0 ≤ bearing < 360. This problem statement is asking for it to be expressed as a 3 digit integer, so angles less than 100° will have leading zeros.

No calculation is necessary. You can read the angles directly from the diagram:

 a) 050

  b) 115

  c) 223

__

Additional comment

Navigation angles can also be expressed other ways. For example, the angle in (a) could be N 50 E, indicating a direction 50° east of north. Sometimes this is also seen as E 40 N, indicating 40° north of east.

This form, using E or W as the base from which the angle is measured, is less often used. For many purposes, it is avoided in favor of using N or S for the base direction. The only advantage is that the angle value is 45 degrees or less, so can always be expressed as 2 digits.

Similarly, the angles in (b) and (c) could be S 65 E, and S 43 W.

Consecutive integers are those that occur one after the other. Let's use 2, 3, 4 as an example.

The middle number is 3 (n). To get to 2 from 3, we need to subtract 1 (n - 1). To get to 4 from 3, we need to add 1 (n + 1).

Now that we understand how to get to each number from the middle number, we can create our expression.

(n - 1) + n + (n + 1)

(n + n + n) + (1 - 1)

3n + 0

Answer: 3n

Hope this helps!

Answer:

Step-by-step explanation:

We know that:

Solution:

Hence, the sum of the three consecutive numbers is 3n.

Answer:

en büyük 13 en küçük 7 dir

The value of a, b and c are found as 6, 10 and 2 respectively.

Values for exponents, commonly referred to as powers, indicate how many often to multiply a quantity by itself.

The given expression is;

\(4x^{8} y^{c} = \frac{24x^{b}y^{-3} }{ax^{2} y^{-5} }\)

Solving expression using the law of indices.

\(x^{8} y^{c} = \frac{6x^{b-2}y^{-3+5} }{a}\)

\(ax^{8} y^{c} = {6x^{b-2}y^{2} }\)

Comparing powers of both sides:

a = 6

8 = b-2 : b = 10

c = 2

Thus, the value of  a, b and c are found as 6, 10 and 2 respectively.

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When the level of confidence interval increases from 96% to 99% then the population mean will also become wider for a given fixed value of standard deviation and its fixed sample size, so the given statement is true.

As given in the question,

Let us consider 'σ' be the fixed standard deviation

And 'n' be the fixed sample size

Population mean = \(\bar{x}\) ± z ( σ /√n )

Range of confidence interval increases from 96% to 99%

For a fixed standard deviation and sample size range of population mean become wider .

For fixed \(\bar{x}\) , standard deviation 'σ' , and sample size 'n' the value of population mean get varied as per the change in confidence interval z-score.

Therefore, the given statement when level of confidence interval increases from 96% to 99% then population mean will get wider is a true statement.

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Answer:

278 feet.

Step-by-step explanation:

S = 350 - 16t^2 + vt

t =2; v = -4.

S = 350 - 16 * (2)^2 + 2 * (-4)

S = 350 - 16 * 4 - 8

S = 350 - 64 - 8

S = 350 - 72

S = 278 feet.

Hope this helps!

Answer:

Sqrt(13)

Step-by-step explanation:

d = sqrt(3^2 + 2^2) = sqrt (13)

Answer:

no

Step-by-step explanation:

Priya is referring to a special right triangle, specifically an equilateral triangle that has been cut in half.

In this triangle, all three angles are equal to 60 degrees, and each side has the same length.

Therefore, if the hypotenuse (which is also the longest side) of the right triangle is 1 cm, then each of the other two sides has a length of 1/2 cm. The leg adjacent to the 30-degree angle is the shorter of these two sides, and its length can be found using the trigonometric function cosine, which relates the adjacent side to the hypotenuse.

In this case, cos(30 degrees) = adjacent/hypotenuse, which simplifies to sqrt(3)/2 = adjacent/1, or adjacent = sqrt(3)/2 cm ≈ 0.866 cm.

The side opposite the 30-degree angle is the longer of the two shorter sides, and its length can be found using the trigonometric function sine, which relates the opposite side to the hypotenuse.

In this case, sin(30 degrees) = opposite/hypotenuse, which simplifies to 1/2 = opposite/1, or opposite = 1/2 cm = 0.5 cm.

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Answer:

The answer correct (D).

The x-intercepts for the parabola defined by the equation y= x²-9x+ 18 are (3, 0) and (6.0)

A quadratic equation is a second-order polynomial equation in a single variable x , ax2+bx+c=0. with a ≠ 0 .

We have to find the  x-intercepts for the parabola y= x²-9x+ 18

We have to make y as zero to find the x intercepts

x²-9x+ 18 = 0

This equation is in the form of quadratic equation

x² -6x-3x+18=0

x(x-6)-3(x-6)=0

(x-3)(x-6)=0

x=3 or x=6

Hence, the x-intercepts for the parabola defined by the equation y= x²-9x+ 18 are (3, 0) and (6.0)

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The statement that are consistent with the guidelines for hitching trailers are:

A. Trailers must be connected to the tow vehicle before loading.

D. Customer vehicles must have at least a frame mounted Class 3 receiver hitch with a 2" or 2 5/6" ball.

Option A: Because it guarantees that the weight of the cargo is evenly distributed and attached to the trailer before the vehicle is driven this recommendation is consistent with safe hitching techniques.

Option D: Because it guarantees that the trailer is securely fastened to the tow vehicle and can support the weight of the cargo this recommendation is consistent with safe hitching techniques. A 2" or 2 5/16" ball ensures the trailer is firmly fastened to the hitch and a Class 3 hitch is made to support the weight of heavier trailers.

Therefore the correct option is A and D.

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The function is nonlinear because there is an exponent to the x value, indicating that it is a parabola, which means that it is not a straight line.

Answer:

To figure what?

It doesn't show anything?