Q5 A rectangular pyramid is mounted on a rectangular prism as shown in the figure. Find
the surface area of the solid formed.
10 ft
Aft
3 ft
4ft

Answer:

Finding the dilation's center point is the first step in determining the scale factor. Next, we measure the distances between the center point and various points on the preimage and the image. We may determine the scale factor by dividing these distances by 2.

Step-by-step explanation:

Answer:

\(\frac{\sqrt{17} }{9}\)

Step-by-step explanation:

a^2 +b^2 =c^2 Use pythagorean theorem

8^2 +b^2 =9^2 Substitute in your known values

b=\(\sqrt{17} , -\sqrt{17}\)

b=\(\sqrt{17}\) A triangle leg cannot be a negative length

\(\frac{\sqrt{17} }{9}\) Find cosine of angle theta.

The quadrilateral with the given vertices is a Rhombus, the correct option is (D).

In the question, it is given that:

let us rename, the coordinates as A(0, 0), B(3, 2), C(6, 0), D(3, -2).

the distance between two points (x₁, y₁) and (x₂, y₂) can be calculated using the formula:

\(\text{d} = \sqrt{(\text{x}_2 - \text{x}_1)^2 + (\text{y}_2 - \text{y}_1)^2}\)

distance between A(0, 0) and B(3, 2) is

\(\text{AB} = \sqrt{(0 - 3)^ 2+ (0 - 2)^2}\)

\(\text{AB} = \sqrt{13}\)

distance between B(3, 2) and C(6, 0) is

\(\text{BC} = \sqrt{(3-6)^ 2+ (2 - 0)^2}\)

\(\text{BC} = \sqrt{13}\)

distance between C(6, 0) and D(3, -2) is

\(\text{CD} = \sqrt{(6-3)^ 2+ (0 - (-2))^2}\)

\(\text{CD} = \sqrt{13}\)

distance between D(3, -2) and A(0, 0) is

\(\text{DA} = \sqrt{(3-0)^ 2+ (-2-0)^2}\)

\(\text{DA} = \sqrt{13}\)

Notice that the sides of the quadrilateral are congruent, which is \(\sqrt{13}\).

Hence, The quadrilateral with the given vertices is a Rhombus.

Learn more about quadrilaterals at:

https://brainly.com/question/29934291

Answer:

221

250

is already in the simplest form. It can be written as 0.884 in decimal form (rounded to 6 decimal places).

Step-by-step explanation:

Answer:

the correct answer is supposed to be 120, your almost there :)

Step-by-step explanation:

Answer:

There are 182.88  cm in 2 yards.

Step-by-step explanation:

Given that,

1 inch = 2.54 cm

We need to find how many centimeters are there in 2 yards.

We know that,

1 yard = 36 inch

⇒ 2 yards = (2×36) inches

= 72 inches

It means,

72 inches = (72 × 2.54) cm

= 182.88  cm

Hence, there are 182.88  cm in 2 yards.

Answer:

there's no graph and also no question. no one can help you if you don't put all the necessary info in the question.

Answer:

I love you

Step-by-step explanation:

mhuuuuaaaaa good luck

We are given two plots of normal distributions A and B.

The mean of a normal distribution is located at the center of the plot.

Since the centers of both of the normal distributions A and B seems to be aligned, therefore, they both seems to have equal means.

The standard deviation basically determines the shape of the distribution.

As you can see, the normal distribution A is more spread out and thus has a larger standard deviation than normal distribution B.

Therefore, the two correct options are

• The means of A and B are equal.

• A has larger standard deviation.

Answer:

3m-4

Step-by-step explanation:

marcie's age be x

her father age is four less than three times

the equation tht describes her father age is 3m-4=40

Answer:

The answer is 26

Step-by-step explanation:

The volume of the solid is 9 cubic units, which is determined by the base in the first quadrant bounded by the y-axis, the graph of y = x-1, the horizontal line y = 3, and the vertical line x = 1. As the cross sections perpendicular to the x-axis are squares, the volume can be calculated.

The volume of the solid can be calculated by finding the area of the base and then multiplying it by the height of the solid. The base of the solid is in the first quadrant and is bounded by the y-axis, the graph of y = x-1, the horizontal line y = 3, and the vertical line x = 1. This region forms a trapezoid, with an area of 6. As the cross sections perpendicular to the x-axis are squares, the height of the solid is 3 units. Thus, the volume of the solid is 6 multiplied by 3, which gives us a total volume of 9 cubic units. To calculate the volume, it is important to identify the base of the solid and the shape of the cross sections perpendicular to the x-axis. This will allow us to calculate the area of the base, and multiply it by the height of the solid to determine the total volume.

Learn more about volume here

https://brainly.com/question/16134180

#SPJ4

The correct answer is D. f(x) = 11x - 4 and g(x) = (x + 4)/11

To determine which pair of functions are inverses of each other, we need to check if the composition of the functions results in the identity function, which is f(g(x)) = x and g(f(x)) = x.

Let's test each option:

Option A:

f(x) = x/2 + 15

g(x) = 12x - 15

f(g(x)) = (12x - 15)/2 + 15 = 6x - 7.5 + 15 = 6x + 7.5 ≠ x

g(f(x)) = 12(x/2 + 15) - 15 = 6x + 180 - 15 = 6x + 165 ≠ x

Option B:

f(x) = ∛3x

g(x) = (x/3)^3 = x^3/27

f(g(x)) = ∛3(x^3/27) = ∛(x^3/9) = x/∛9 ≠ x

g(f(x)) = (∛3x/3)^3 = (x/3)^3 = x^3/27 = x/27 ≠ x

Option C:

f(x) = 3/x - 10

g(x) = (x + 10)/3

f(g(x)) = 3/((x + 10)/3) - 10 = 9/(x + 10) - 10 = 9/(x + 10) - 10(x + 10)/(x + 10) = (9 - 10(x + 10))/(x + 10) ≠ x

g(f(x)) = (3/x - 10 + 10)/3 = 3/x ≠ x

Option D:

f(x) = 11x - 4

g(x) = (x + 4)/11

f(g(x)) = 11((x + 4)/11) - 4 = x + 4 - 4 = x ≠ x

g(f(x)) = ((11x - 4) + 4)/11 = 11x/11 = x

Based on the calculations, only Option D, where f(x) = 11x - 4 and g(x) = (x + 4)/11, satisfies the condition for being inverses of each other. Therefore, the correct answer is:

D. f(x) = 11x - 4 and g(x) = (x + 4)/11

for such more question on inverses

https://brainly.com/question/15066392

#SPJ8

On solving the provided question we can say that here the probability P(X<3) = 0.7102 and P(X>3) = 0.5801.

Probability theory, a subfield of mathematics, gauges the likelihood of an occurrence or a claim being true. An event's probability is a number between 0 and 1, where approximately 0 indicates how unlikely the event is to occur and 1 indicates certainty. A probability is a numerical representation of the likelihood or likelihood that a particular event will occur. Alternative ways to express probabilities are as percentages from 0% to 100% or from 0 to 1. the percentage of occurrences in a complete set of equally likely possibilities that result in a certain occurrence compared to the total number of outcomes.

P(X = 3) = 0.2903

P(X>3) = 0.5801

P(X<3) = 0.7102

mean=2.8

standard deviation=1.2961

To know more about probability visit:

https://brainly.com/question/11234923

#SPJ4

It's just 5 * 4 which is 20.

We need 1.75 litres of water to make 2 litres of diluted squash with a ratio of 1 part squash to 7 parts water

To make 2 litres of diluted squash with a ratio of 1 part squash to 7 parts water, we need to calculate how much water is needed.

We can do this by using the following formula:

Water = Diluted Squash - Squash First, we need to find out how much squash is in 2 litres of diluted squash.

Since the ratio is 1:7, we can divide 2 litres by the total number of parts (1 + 7 = 8) to find out how much squash is in 2 litres of diluted squash: Squash = 2 litres / 8 = 0.25 litres

Now we can use the formula to find out how much water is needed:

Water = 2 litres - 0.25 litres = 1.75 litres

Therefore, we need 1.75 litres of water to make 2 litres of diluted squash with a ratio of 1 part squash to 7 parts water.

Learn more about dilution at https://brainly.com/question/28548168

#SPJ11

Answer:

Step-by-step explanation:

for 2.2 you would still have 5^2 in brackets still

same kind of error for 2.1

Rounding to the nearest tenth of a percent, we find that approximately 65.5% of the data is less than 105.

To find the percentage of the data that is less than 105 in a normal distribution with a mean of 100 and a standard deviation of 15, we can use the standard normal distribution table or a statistical calculator.

Using a standard normal distribution table, we need to calculate the z-score for the value 105, which represents the number of standard deviations away from the mean:

z = (x - μ) / σ,

where x is the value (105), μ is the mean (100), and σ is the standard deviation (15).

Substituting the values:

z = (105 - 100) / 15 = 5 / 15 = 1/3.

Looking up the z-score of 1/3 in the standard normal distribution table, we find that it corresponds to approximately 0.6293.

The percentage of the data that is less than 105 can be calculated by converting the z-score to a percentile:

Percentile = (0.5 + 0.5 * erf(z / √2)) * 100,

where erf is the error function.

Substituting the z-score into the formula:

Percentile = (0.5 + 0.5 * erf(1/3 / √2)) * 100 = (0.5 + 0.5 * erf(1/3 / 1.414)) * 100.

Calculating this value gives us approximately 65.48.

To know more about data,

https://brainly.com/question/4545515

#SPJ11

Answer:

-infinity < y ≤ 2

Step-by-step explanation:

A is correct.  The largest value y can have is 2, whereas there is no smallest value.   -infinity < y ≤ 2

The range of the given graph will be -∞ ≤ y ≤ 2. The correct option is A.

The collection of all a function's outputs constitutes its range. Example: Let's take a look at the function f: AB, where f(x) = 2x and A and B each represents a collection of natural numbers. The domain in this instance is A, and the co-domain is B. The range then appears as the function's output.

The range of the function is -∞ ≤ y ≤ 2. When we move towards the left side the value of y reaches negative infinity and when we move to the right the value of y reaches the value of 2.

It means that the range of the function is varying from negative infinity to a positive value of 2.

To know more about the range follow

https://brainly.com/question/7954282

#SPJ7

The Fall (drop)  of drainage piping is: A. 5".

In order to determine the fall (drop) of drainage piping we would need to multiply the drainage piping by the inch per feet.

Hence:

Using this formula

Fall (drop) of drainage piping = Drainage piping× inch per feet

Where:

Drainage piping=20

Inch per feet=1/4"

Let plug in the formula

Fall (drop) of drainage piping =20×1/4"

Fall (drop) of drainage piping =5"

Therefore the correct option is A. 5".

Learn more about Fall (drop)  of drainage piping here:https://brainly.com/question/1084949

#SPJ1

The correct statement representing the trigonometric ratios is given as follows:

The values of sin Theta and cos Theta represent the legs of a right triangle with a hypotenuse of 1; therefore, solving for cos Theta finds the unknown leg, and then all other trigonometric values can be found.

The three trigonometric ratios are the sine, the cosine and the tangent, and they are obtained according to the rules presented as follows:

The relationship for the sine and for the cosine is given as follows, applying the Pythagorean Theorem:

sin²(x) + cos²(x) = 1.

Hence the first option is the correct option in the context of this problem.

Learn more about trigonometric ratios at brainly.com/question/24349828

#SPJ1

Note that if the area of the rectangle to be drawn is 12 square units, and if they lie vertically below the line that connects B and A, to make this rectangle, then the  points C and D be located, at "(-2,-2), D(1,-2)" (Option A)  See the attached image.

A rectangle is a quadrilateral with four right angles in Euclidean plane geometry.

It can alternatively be classified as an equiangular quadrilateral since all of its angles are equal; or a parallelogram with a right angle. A square is a rectangle with four equal-length sides.

Learn more about Rectangles:
https://brainly.com/question/29123947
#SPJ1

Overall fraction of sold seats is 0.63333...

First we use the fact that 2/3 of the seats are located on the main floor and the number of seats on the main floor is 600, so the total number of seats can be calculated as follows:

Total number of seats = 600 / (2/3) = 900 seats

Next, we can find the number of seats in the balcony:

Balcony seats = Total number of seats - Main floor seats = 900 - 600 = 300 seats

Next, we can find the number of sold floor seats:

Sold floor seats = 4/5 * 600 = 480 seats

And the number of sold balcony seats:

Sold balcony seats = 1/2 * 300 = 150 seats

Finally, to find the overall fraction of sold seats in the theater, we add the number of sold floor seats and the number of sold balcony seats and divide by the total number of seats:

Overall fraction of sold seats = (480 + 150) / 900 = 0.63333... (rounded to the nearest hundredth)

Learn more about  overall fraction here: brainly.com/question/28699958

#SPJ1

Step-by-step explanation:

Step-by-step explanation:

2x+8y=12 3x-8y=11

If we have to solve by substitution, Take the first equation and divide by 2

2x/2 + 8y/2 =12/2

x+4y = 6

Then subtract 4y from each side

x = 6 -4y

Then substitute this into the second equation

This is best solved by elimination

2x+8y=12

3x-8y=11

----------------

5x = 36

x = 36/5

Answer: oop i forgot

Step-by-step explanation srry

The length of the midsegment of the trapezoid is 14 units

The midsegment of a trapezoid is the segment connecting the midpoints of the two non-parallel sides.

The length of the midsegment of a trapezoid is half of the sum of the lengths of the two parallel sides. Thus:

The length of the midsegment MN = (18+10)/2 = 28/2 = 14 units

Learn more about length of the midsegment of a trapezoid on:

https://brainly.com/question/7593624

#SPJ1

The area of the computer monitor display is approximately 0.103 square meters, with three significant figures.

The area of the monitor display in square meters is found by converting the measurements from inches to meters and then calculate the area.

The conversion factor from inches to meters is 0.0254 meters per inch.

Width in meters = 14.60 inches * 0.0254 meters/inch

Height in meters = 10.95 inches * 0.0254 meters/inch

Area = Width in meters * Height in meters

We calculate the area:

Width in meters = 14.60 inches * 0.0254 meters/inch = 0.37084 meters

Height in meters = 10.95 inches * 0.0254 meters/inch = 0.27813 meters

Area = 0.37084 meters * 0.27813 meters = 0.1030881672 square meters

Now, we determine the number of significant figures.

The measurements provided have four significant figures (14.60 and 10.95). However, in the final answer, we should retain the least number of significant figures from the original measurements, which is three (10.95). Therefore, the answer should have three significant figures.

Thus, the area of the monitor display in square meters is approximately 0.103 square meters, with three significant figures.

To know more about area, refer to the link :

https://brainly.com/question/11952845#

#SPJ11