when the area of a circle is increasing twice as fast as the radius, the radius is given by

Answer: The answer is 3

Step-by-step explanation:

Answer:

It is correct!!

Step-by-step explanation:

Answer: 15(9) = 18h

h = 15(9)/18 = 7.5 cm

Step-by-step explanation:

Answer:

Step-by-step explanation:

Ray HK is an angle bisector, which means that it cuts the angle exactly in half.  So half of GHI is 60.  If GHK is 3x + 48, and that is half of angle GHI. then

3x + 48 = 60 and

3x = 12 so

x = 4

The slice of quiche must be rotated 45° clockwise to ensure that each of the 8 slices are the same size and shape.

What is Rigid Motion?

A set can move in a rigid motion if the spacing between the points remains constant. A set is a collection of things or components in mathematics.

Explanation:

Rotation:

A transformation about a point p, called the center of rotation.

Each point and its image are the same distance from p.

There are 8 slices so each central angle of a quiche must  \(\frac{360}{8} =45\).

Hence, The slice of quiche must be rotated 45° clockwise to ensure that each of the 8 slices are the same size and shape.

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The points that lies on the same line are (-3, 12), and, (-1, 4).

Here, we have,

The given coordinate points are (-2, 8) and (5,-20).

Here, slope (m)= 8+20/-2-5

= 28/-7

=-4

Substitute m= -4 and (x, y)=(-2,8) in y=mx+c, we get

8 = 8+c

or, c = 0

So, the equation of a line is y= -4 x

Now,

(-6, -2) in the given equation is -2=-4 (-6)

-2≠ 24

(-3, 12)  in the given equation is y= -4 x

12 = 12

(4, 16) in the given equation is y= -4 x

16 ≠ -16

(0, 6) in the given equation is y= -4 x

6 ≠ 0

(-1, 4) in the given equation is y= -4 x

4 = 4

(7,5) in the given equation is y= -4 x

5 ≠ -28

Therefore, the points that lies on the same line are (-3, 12), and, (-1, 4).

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Answer:

2 13/50

Step-by-step explanation:

gogle

On solving the expression 2 + (4/5) - (3/20), we get 53/20.

Given is the expression -

2 + (4/5) - (3/20)

The given expression is -

2 + (4/5) - (3/20)

Now, solving further, we get -

2 + (4/5) - (3/20)

2 + 4/5 - 3/20

(40 + 16 - 3)/20

53/20

Therefore, the given expression 2 + (4/5) - (3/20) is equivalent to 53/20.

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Answer:

i don't know╰_╯

Step-by-step explanation:

Binary integer variables are variables whose values consist of two values, 0 and 1.

Correct answer will be :- b. Variables with values 0 and 1.

These values are also known as bits, which are represented as 0 and 1 in computers. Binary integer variables are used in computing as a way to represent numbers, characters, and instructions. Binary integer variables are used to represent information in digital systems, because they can be used to represent any value with a single bit.

For example, a single bit can represent a number, letter, or instruction. Binary integer variables are also used in computer programming, as they can be used to represent boolean values, such as true and false. Additionally, they can be used to represent various types of data, such as numbers, characters, and images.

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Answer: 4 miles in 1/3 hour

Step-by-step explanation:

Answer:

f(x) = (x - 10) (x + 10)

Step-by-step explanation:

The equation looks like the difference of squares so 5 and 20 are out

-10 x -10 = 100

-10 x 10 = - 100

so (x - 10) (x + 10)

Answer:

Step-by-step explanation:

Plot 213, −56, and −312 on the number line.

The slope of the new road is zero.

A line's slope is determined by how its y coordinate changes in relation to how its x coordinate changes. y and x are the net changes in the y and x coordinates, respectively. Therefore, it is possible to write the change in y coordinate with respect to the change in x coordinate as,

m = Δy/Δx where, m is the slope

Given:

Take points from the Graph (5, 0) and (5, 4).

Slope of a line = m = tanθ

where θ is the angle made by the line with the x−axis.

For a line parallel to y−axis ,θ= π/2.

​

∴m = tan π/2 = undefined

The new road will therefore have 0° of inclination if it is perpendicular to D street because if they are perpendicular and D street is vertical, the new road is level and has 0° of inclination.

An horizontal line now has zero slope.

The new road has a zero slope as a result.

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Answer:

answer  choice D

Step-by-step explanation:

x => 6 - 4x > 18

= 6-18 > 4x

= - 12 > 4x

= -3 > x

= x < -3

Answer:

Cost of an adult =700

Cost of a child =500

Family paid=3100

They got 5 tickets

So,

700x+500y=3100

x+y=5

Multiplying 2nd equation to x=5-y

700(5-y)+500y=3100

y=2

x=5-2

=3

so u got the answer

This percentage change is a decrease of 30%.

From the question, we have the following parameters that can be used in our computation:

50 pounds to 35 pounds

50 is greater than 35

This means that it is a percentage decrease

The decrease is then calculated as

Decrease = Change/Initial * 100%

So, we have

Decrease = (50 - 35)/50 * 100%

Evaluate

Decrease = 30%

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The side which must have the same length as BC is RS.

The correct answer choice is option C.

Given the figure ABCD with a similar figure QRST

If AD = 12 and QT = 12

AB = 8 and QR = 8

Then,

BC = RS

and

CD = ST

Hence, the side corresponding to BC is RS

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The total area of the shape is 102 cm².

Given that, two rectangles with dimensions L1=15 cm, B1=6 cm, L2=4 cm and B2=3 cm.

The area can be defined as the amount of space covered by a flat surface of a particular shape. It is measured in terms of the "number of" square units (square centimetres, square inches, square feet, etc.) The area of a rectangle is the number of unit squares that can fit into a rectangle.

We know that, the area of a rectangle = Length × Breadth.

So, the area of rectangle1 = 15 × 6 = 90 cm²

The area of rectangle2 = 4 × 3 = 12 cm²

Total area = 90+12 =102 cm²

Therefore, the total area of the shape is 102 cm².

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Answer:

the actual area of the room is 35 inches

Step-by-step explanation:

you have to multiply 7 by 5.

Answer:

None of the above

Step-by-step explanation:

the x coordinate tells us the duration, and the y-coordinate tells us the total cost of a phone call. The y coordinate of point aA represents the total cost of an 8 minutes phone call. not 8 phone calls. point a tells us that the cost is $2 for an 8-minute phone call, so the cost per minute is 2/8=$0.25, not $0.3.

Hope this helps!

Answer: 1/8(2y+3)

Step-by-step explanation: Factor 1/8 out for each term

1/8 is the coefficient of the term because it is the variable that is multiplying something.

Answer:

Commutative Property of Multiplication

Step-by-step explanation:

Hope it helps!

a) The probability of a defect is  0.0668.

b. The process standard deviation can be reduced to  0.0062.

c. The advantage of reducing process variation is more efficient and reliable production process, as it reduces the need for inspection and rework.

Probability is the measure of the likelihood of an event occurring. It is used in various fields such as finance, engineering, and manufacturing to analyze and predict outcomes.

One company that utilizes probability in its production process is Motorola. In this scenario, Motorola uses the normal distribution, also known as the Gaussian distribution, to determine the probability of defects in their production process.

The normal distribution is a probability distribution that is symmetric and bell-shaped. It is characterized by its mean and standard deviation. The mean represents the center of the distribution, while the standard deviation represents the spread of the distribution.

a. To determine the probability of a defect, we need to find the area under the normal distribution curve to the left or right of ounces. This area represents the probability of a defect occurring. We can use a standard normal distribution table or a calculator to find this area. The probability of a defect to four decimal places is approximately 0.0668.

If the production run is for 100 items, then the expected number of defects would be 0.0668 x 100 = 6.68. Since we cannot have fractional defects, we would round this number to the nearest whole number, which is 7.

b. If the process standard deviation is reduced to, then the probability of a defect will decrease. This is because a smaller standard deviation means the distribution is less spread out, and therefore, fewer items will fall outside the control limits.

To find the new probability of a defect, we would follow the same process as in part a. The probability of a defect to four decimal places is approximately 0.0062.

c. The advantage of reducing process variation is that it results in a larger distance between the mean and the control limits. This means that there is less chance of items falling outside the control limits, which in turn, reduces the probability of defects. This leads to a more efficient and reliable production process, as it reduces the need for inspection and rework. Additionally, it can lead to cost savings and improved customer satisfaction.

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She uses 1/2 cup in each batch.

So, if she has 3 1/4 cups in total, we have to divide this total by 1/2 to know how many batchs she can make:

She can make 6 1/2 batches.

Answer:

x = 46

Step-by-step explanation:

These 2 angles would add up to 180 degrees.

So 41 + (3x+1) = 180

Let's solve for x.

41 + 3x + 1 = 180

Combine like terms.

42 + 3x = 180

subtract 42 from both sides

3x = 180-42

3x = 138

divide both sides by 3

x = 46

Answer: I think that the answer of the question would be actually a athlete and a tool, because versatile is something that is able to adapt or be adapted to many different functions or activities. You can be a tennis athlete or soccer athlete or a athlete of any sport. A tool is also versatile since you can use it to do different things/fix different things.

A historical event is not versatile, because you can't have one history event that has adapted and a report card is also not versatile, since the report card serves mainly for only purpose.

I am only trying to help the person that asked the question, so sorry if I hurt anyone's feelings or offend any one that has a different answer.

Answer: 1. 64 | 2. 32

Step-by-step explanation:

Formula for a rectangle is Area = Length*Width

Therefore: 8*8 = 64

Formula for a triangle is Area = 1/2*Base*Height, which is also 1/2*length*width

Therefore: 1/2*8*8 = 32

Hope this helps :)

This figure has Line, Point and Rotational Symmetry.

If a figure can be rotated by an angle between 0° and 360° so that the image coincides with the preimage, it has rotational symmetry. The smallest angle for which the figure can be rotated to coincide with itself is the angle of rotational symmetry.

A line of symmetry is a line that divides two equal and symmetrical parts of a shape or object. This line is also known as the axis of symmetry or the mirror line because it divides the figure symmetrically and the divided parts appear to be mirror reflections of each other.

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The probability of x taking on a value between 75 to 90 is 0.25.

Given that x is a continuous random variable uniformly distributed between 65 and 85.To find the probability that x lies between 75 and 90, we need to find the area under the curve between the values 75 and 85, and add to that the area under the curve between 85 and 90.

The curve represents a rectangular shape, the height of which is the maximum probability. So, the height is given by the formula height of the curve = 1/ (b-a) = 1/ (85-65) = 1/20.Area under the curve between 75 and 85 is = (85-75) * (1/20) = (10/20) = 0.5Area under the curve between 85 and 90 is = (90-85) * (1/20) = (5/20) = 0.25.

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Answer:

Step-by-step explanation:

Aaron types 40 wpm times 30 minutes = 1200 wpm.

Jessica types 55 wpm times 30 minutes = 1650 wpm.

Jessica’s types 450 more words per minute than Aaron.

A= 450 more than Aaron