What is the volume of the composite figure?

The sequence of transformations that should be used to prove circle A is similar to circle B by mapping A onto B is given as follows:

The center of circle A is given as follows:

(-5,2).

The center of circle B is given as follows:

(3, -2).

Then the change in each coordinate is given as follows:

The radius of circle B is triple the radius of circle A, hence there was also a dilation with a scale factor of 3.

Neither the dilation nor the translation change the angle measures, hence the two circles are similar.

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Answer: A + 7 = 28

Step-by-step explanation:

During evaluation, Raya was wrong in step 2. She got the cube of -3 wrong. The correct value is -27 and not -9.

Given the expression, a³ - b³ / 5, where:

a = 2

b = -3

Substitute the values into the expression

Step 1: (2)³ - (-3)³ / 5

Evaluate

Step 2: 8 - (-27) / 5 (this is where Raya made a mistake, she had -9 instead of -27)

Step 3: 8 + 27/5

Step 4: 35/5 [addition]

Simplify

Step 5: 35/5 = 5 [division]

Thus, we can state that Raya was wrong in step 2. She got the cube of -3 wrong. The correct value is -27 and not -9.

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Answer:

5/90

Step-by-step explanation:

5/90 is the answer

1000 cubic centimeters would need to be placed in a tub of water to displace 1 Lter of water

Conversion of units simply refers to the method used in determining the equivalent of one unit in relation to another.

From the information given, we have that;

Number of cubic centimeters that would be placed in a tub of water to displace 1 L of water

So, we have that there is 1 liter of water in the tub

In order to displace, you need to put something in that is the same amount

Now, let's convert the units

1 liter = 1000 cubic cm

Hence, you need 1000 cubic cm to displace 1 liter

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Answer:

one solution

Step-by-step explanation:

If you simplify the equation, it becomes 1x+1=2. Then you subtract the 1 from 2 and get 1x=1. Therefore, x=1 which is ONE SOLUTION.

Answer:

volume is 1570 cm³

mass is 12560 g

Step-by-step explanation:

1m = 100 cm

the volume is :

1/4 x \(\pi\) x 6² x 100 - 1/4 x \(\pi\) x 4² x 100

= 900 \(\pi\) - 400 \(\pi\)              { v = 1/4 \(\pi\) d²h }

= 500 \(\pi\)

= 500 x 3.14

= 1570 cm³

the mass of the pipe is:

1570 x 8 = 12560 grams

Answer:

a) 52

b) 21 + 6.25π

Step-by-step explanation:

Part (a)

the sides which we don't have:

(longer side): 7+6 = 13m

(shorter side): 13—8= 5m

So:

Perimeter = 2P = 13+5+7+8+6+13=52

Part (b)

perimeter of the half circle:

\(\pi \times {r}^{2} = \pi \times {2.5}^{2} = 6.25\pi\)

So:

Perimeter = 2P = 2×8 + 5 + 6.25π = 21 + 6.25π

To evaluate the integral of (√(x^2 - 81))/(x^3) with respect to x, we can start by performing a substitution. After substituting the simplified answer is:
-1/(x/9) + C

Let x = 9sinh(u), where sinh(u) is the hyperbolic sine function. This gives us dx = 9cosh(u) du. Substituting this into the integral, we get:
∫(√(x^2 - 81))/(x^3) dx = ∫(√(9^2sinh^2(u) - 81))/(9^3sinh^3(u)) * 9cosh(u) du
Simplifying the integral, we get:
∫(9cosh(u))/(9^2sinh^2(u)) du
Now, we can cancel out the 9's, giving:
∫cosh(u)/sinh^2(u) du
Now we can perform another substitution: let v = sinh(u), so dv = cosh(u) du. Substituting this, we get:
∫(1/v^2) dv
Integrating this, we get:
-1/v + C
Now, substitute back the initial values: v = sinh(u) and u = arcsinh(x/9):
-1/sinh(arcsinh(x/9)) + C
Finally, we arrive at the simplified answer:
-1/(x/9) + C
Which can be written as:
-9/x + C

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The height of the cliff is approximately 269 feet.

We will be using the tangent function to find the height of the cliff.
Draw a right triangle with the rowboat at one corner, the cliff's base as the adjacent side, and the cliff's height as the opposite side.

The angle of elevation (73.8 degrees) is between the rowboat and the cliff's base.
We are given the adjacent side (75 feet) and we need to find the opposite side (height of the cliff).

To do this, we will use the tangent function:
tan(angle) = opposite side / adjacent side
Plug in the given values:
tan(73.8) = height / 75
Solve for the height:
height = tan(73.8) * 75
Calculate the value:
height ≈ 269.4 feet
Round the height to the nearest foot:
height ≈ 269 feet.

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If an investigator is getting responses very close to each other when assessing skinfold thickness 5 consecutive times, it is a sign that the measurements are precise or reliable.

Measurements refer to the process of quantifying physical quantities or properties such as length, mass, time, temperature, and more. The aim of measurements is to obtain accurate and reliable data that can be used for various purposes, such as scientific research, industrial applications, engineering, and construction.

Measurement involves comparing an unknown quantity with a known standard or unit of measurement. For example, length can be measured using a ruler, mass can be measured using a scale, and time can be measured using a clock. The units of measurement used can vary depending on the system of measurement used, such as the metric system or the imperial system.

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Answer: 96%

Step-by-step explanation:

Morgan's average grade was 92% after the third test.

Lets say all the tests were out of 100 to help you understand.

We can say that she got 92 out of 100 on all three tests.

Her total point would be 92 * 3 which would be 276, out of 300 points available.

Now she takes her fourth test and she wants an average of 93

Out of 100, if she gets a score of X, her total point after the fourth test would be 276 + X out of 400 points available.

so the percentage of 276 + X / 400 should be 93%.

( 276 + X / 400 ) * 100% = 93%

multiply 400 on each side,

( 276 + X ) * 100 % = 93 * 400 %

now divide each side by 100

276 + X = 93 * 4

93 * 4 = 372

Subtract each side by 276

X = 96

So she needs to get a 96 out of 100 or higher, which is 96%.

Answer:

A. The shape has perpendicular but not parallel lines.

Step-by-step explanation:

The shape is a right triangle, which has a 90 degree angle. This means that two of the sides are perpendicular because they meet each other at a right angle. None of the lines are parallel because if any of the sides were to never meet, there would not be a closed shape.

Answer:

X is right there

Step-by-step explanation:

See?

the given planes are perpendicular to each other.

To determine whether the planes are parallel, perpendicular, or neither, we can examine the normal vectors of the planes.

The given planes can be represented in general form as:

Plane 1: x - y - 8z = 1

Plane 2: 8xy - z = 2

The normal vector of a plane is the coefficients of x, y, and z in the plane's equation.

For Plane 1, the normal vector is [1, -1, -8].

For Plane 2, the normal vector is [0, 8, -1].

Two planes are parallel if their normal vectors are scalar multiples of each other. Two planes are perpendicular if the dot product of their normal vectors is zero.Let's compare the normal vectors:

[1, -1, -8] and [0, 8, -1]

Since the normal vectors are not scalar multiples of each other (none can be multiplied by a constant to obtain the other), the planes are not parallel.

Next, let's calculate the dot product of the normal vectors:

[1, -1, -8] · [0, 8, -1] = (1 * 0) + (-1 * 8) + (-8 * -1) = 0 + (-8) + 8 = 0

Since the dot product of the normal vectors is zero, the planes are perpendicular.

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Answer:

D   21.80°

Step-by-step explanation:

Let x = measure of the angle

Tan x = 12000/30000 = .4

Arctan .4 = 21.80°

Answer:

Multiplying the numerators and denominators, we get 21 / 48 = 7 / 16.

Answer:

Answer: The length of string from kite to the ground is 111.5 feetStep-by-step explanation:Given ... of the ground, and its string is pulled tout. The angle of elevation of the kite is 43. Find the length of the string. Round your answer to the ... The height from the ground at which kite is flying = BC = h = 76 feet.

Step-by-step explanation:

The statement "D. Given any two distinct lines in the Cartesian plane, the two lines will either be parallel or perpendicular" is NOT true.

A. The statement is true. The ratios of the vertical rise to the horizontal run, also known as the slopes, of any two distinct nonvertical parallel lines are equal. This is one of the properties of parallel lines.

B. The statement is true. If two distinct nonvertical lines are parallel, then they have the same slope. Parallel lines have the same steepness or rate of change.

C. The statement is true. Given two distinct lines in the Cartesian plane, the two lines will either intersect at a point or they will be parallel and never intersect. These are the two possible scenarios for distinct lines in the Cartesian plane.

D. The statement is NOT true. Given any two distinct lines in the Cartesian plane, they may or may not be parallel or perpendicular. It is possible for two distinct lines to have neither parallel nor perpendicular relationship. For example, two lines that have different slopes and do not intersect or two lines that intersect but are not perpendicular to each other.

Therefore, the statement "D. Given any two distinct lines in the Cartesian plane, the two lines will either be parallel or perpendicular" is the one that is NOT true.

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Answer:

b. 65

a. The notation f(-2) means that we want to evaluate the value of the equation when x = -2

Step-by-step explanation:

A. The notation f(-2) means that we want to evaluate the value of the equation when x = -2

B. We will simply substitute the value of 2 for x

f(x) = 6(8-x) + 5

f(-2) = 6(8 - (-2)) + 5

f(-2) = 6(8 + 2) + 5

f(-2) = 6(10) + 5 = 60 + 5 = 65

Answer:

the pic is 't clear

Step-by-step explanation:

Slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

The slope of the line is the ratio of the rise to the run, or rise divided by the run. It describes the steepness of line in the coordinate plane.

The slope intercept form of a line is y=mx+b, where m is slope and b is the y intercept.

The slope of line passing through two points (x₁, y₁) and (x₂, y₂) is

m=y₂-y₁/x₂-x₁

Given that A cell phone company uses the equation C=$0.15t+$35.00

C is the total cost for a month of service.

t is the number of text messages.

We have to find the slope of the equation.

slope is 0.15 and 35.00 is the y intercept of the equation given.

Hence, slope is  $0.15 of the equation of cost  C=$0.15t+$35.00.

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Answer:

(C) 2

May nilbin be with you

Answer:

8

Step-by-step explanation:

If angle mFCD = (2x + 5)° and m∠FED = (3x − 10)°, the value of x is 1. Option A is the correct answer.

Since FCD and FED are adjacent angles, their sum must be equal to the measure of angle FCE:

m∠FCD + m∠FED = m∠FCE

Substituting the given measures, we get:

(2x+5) + (3x-10) = m∠FCE

Simplifying the left side, we get:

5x-5 = m∠FCE

We know that the sum of the angles in triangle FCE is 180 degrees, so we can use that information to solve for x:

m∠FCE + m∠FEC + m∠CEF = 180

Substituting in the value we found for m∠FCE, and noting that m∠FEC and m∠CEF are each 90 degrees since triangle FCE is a right triangle, we get:

5x-5 + 90 + 90 = 180

Simplifying and solving for x, we get:

5x + 175 = 180

5x = 5

x = 1

Therefore, the value of x is 1.

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If m∠FCD = (2x + 5)° and m∠FED = (3x − 10)°, what is the value of x?

a. 1

b. 3

c. 7

d. 4

Answer:

37

Step-by-step explanation:

5(37)=185

185-5=180

To calculate the integral of f(x, y) = 9x over the region D bounded above by y = x(2−x) and below by x = y(2−y), we need to find the limits of integration by solving for the intersection points of the upper and lower boundary curves.

To calculate the integral of f(x, y) = 9x over the region D bounded above by y = x(2−x) and below by x = y(2−y), we first need to find the limits of integration.

Let's solve the lower boundary curve x = y(2−y) for y in terms of x using the quadratic formula:

x = y(2−y)

\(0 = y^2 - 2y + x\)

Applying the quadratic formula: y = (-(-2) ± √((-2² - 4(1)(x))) / (2(1))

Simplifying: y = (2 ± √(4 - 4x)) / 2

y = 1 ± √(1 - x)

Now, we need to determine the limits of integration for x. Since the region D is bounded by two curves, we need to find the values of x where the curves intersect. The curves intersect when the upper and lower boundaries are equal:

x(2−x) = 1 ± √(1 - x)

Simplifying this equation will give us the values of x where the curves intersect. Once we have those values, we can determine the limits of integration for x.

After obtaining the limits of integration, we can calculate the integral of f(x, y) = 9x over the region D by integrating with respect to x and then with respect to y within those limits.

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The equation of the tangent line to the curve `y = 2ex cos(x)` at the point (0,2) is given by `y = 2ex + 2`.

To find an equation of the tangent line to the curve at the given point (0,2) whose equation is given by `y = 2ex cos(x)`, we need to determine the derivative `y'` of `y = 2ex cos(x)` first. Using the product rule, we have;

`y = 2ex cos(x)`...let `u = 2ex` and `v = cos(x)`, then `u' = 2ex` and `v' = -sin(x)`.`y' = u'v + uv'` `= 2ex cos(x) - 2ex sin(x)` `= 2ex(cos(x) - sin(x))`

Therefore, the derivative of `y = 2ex cos(x)` is `y' = 2ex(cos(x) - sin(x))`.

The equation of the tangent line to the curve at the point (0,2) is obtained by using the point-slope formula, which is given by: `y - y1 = m(x - x1)`where `(x1,y1)` is the point of tangency, `m` is the slope of the tangent line.

Substituting the values of `m`, `x1` and `y1`, we obtain: `m = y' |(0,2)` `= 2e(1 - 0)` `= 2e`Using the point-slope formula with `(x1,y1) = (0,2)` and `m = 2e`, we have: `y - 2 = 2e(x - 0)` `y - 2 = 2ex` `y = 2ex + 2`

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We can simplify the expression by combining terms and simplifying further based on any specific values of u or 1.

To express the trigonometric expression cot(sin(1u)) cot(sin(1]) as an algebraic expression in u, we need to apply trigonometric identities and simplify it.

Let's start by using the identity cot(x) = 1/tan(x):

cot(sin(1u)) cot(sin(1]) = (1/tan(sin(1u))) (1/tan(sin(1]))

Next, we'll use the identity tan(x) = sin(x)/cos(x) to rewrite the tangents in terms of sine and cosine:

= (1/(sin(1u)/cos(1u))) (1/(sin(1)/cos(1]))

Simplifying further, we can multiply the reciprocals:

= (cos(1u)/sin(1u)) (cos(1)/sin(1))

Now, let's use the identity sin(2x) = 2sin(x)cos(x) to express the sines and cosines in terms of sine of half-angles:

= (cos(1u)/(2sin(1/2u)cos(1/2u))) (cos(1)/(2sin(1/2)cos(1/2)))

= (cos(1u)/2sin(1/2u)cos(1/2u)) (cos(1)/2sin(1/2)cos(1/2))

Since cos(x)cos(y) = (1/2)[cos(x+y)+cos(x-y)], we can use this identity to simplify the expression further:

= (cos(1u)/2sin(1/2u)(1/2)[cos(1/2+1/2u)+cos(1/2-1/2u)]) (cos(1)/2sin(1/2)cos(1/2))

= (cos(1u)/4sin(1/2u)[cos(1/2+1/2u)+cos(1/2-1/2u)]) (cos(1)/2sin(1/2)cos(1/2))

Now, we can simplify the expression by combining terms and simplifying further based on any specific values of u or 1.

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Answer:

I think its Your Values, but try and a get a second opinion