A number is 120 less than 965. Find the number.​

The total length of the fence is 48 m if the rectangular swimming pool measures 7.5 m by 4.5 m.

It is defined as the two-dimensional geometry in which the angle between the adjacent sides are 90 degree. It is a type of quadrilateral.

It is defined as the area occupied by the rectangle in two-dimensional planner geometry.

The area of a rectangle can be calculated using the following formula:

Rectangle area = length x width

It is given that:

A rectangular swimming pool measures 7.5 m by 4.5 m.

It is completely surrounded by a fence parallel to each edge of the pool and at a distance of 3 m from each edge of the pool.

The total length of the fence = 2(7.5+3×2 + 4.5+3×2)

The total length of the fence = 2(7.5+6 + 4.5+6)

The total length of the fence = 2(24)

The total length of the fence = 48 m

Thus, the total length of the fence is 48 m if the rectangular swimming pool measures 7.5 m by 4.5 m.

Learn more about the rectangle here:

https://brainly.com/question/15019502

#SPJ1

Answer:

Step-by-step explanation:

Dimensions: 1 x 1 x 36 or 12 x 3 x 1 or 9 x 4 x 1 or 9 x 2 x 2

The dimensions of a pyramid are usually described in terms of its base and height. The base of a pyramid is the polygonal shape at the bottom of the pyramid, and the height is the perpendicular distance from the base to the apex.

To find the dimensions of a pyramid with a volume of 36 cubic units, we need to use the formula for the volume of a pyramid:

Volume of a pyramid = (1/3) x Base area x Height

Let's assume that the base of the pyramid is a square with sides of length "a". Therefore, the base area of the pyramid is a x a = a^2.

Now, we can substitute the given volume of 36 cubic units into the formula:

36 = (1/3) x a^2 x h

Multiplying both sides by 3 and dividing by a^2, we get:

h = 108/a^2

So, the height of the pyramid is equal to 108 divided by the square of the length of one side of the base.

We can choose any value for "a" and calculate the corresponding value of "h" that will result in a volume of 36 cubic units.

For example, if we choose "a" to be 3 units, we get:

h = 108/3^2 = 12 units

Therefore, the dimensions of the pyramid are:

Base: 3 units x 3 units

Height: 12 units

Checking the volume using the formula, we get:

Volume of the pyramid = (1/3) x 3^2 x 12

Volume of the pyramid = 36 cubic units

So, a pyramid with a base of 3 units by 3 units and a height of 12 units would have a volume of 36 cubic units.

Learn more about dimensions of pyramid here:

https://brainly.com/question/4330143

#SPJ2

The graph of the linear equality will be a solid line with a y-intercept of negative four and a slope of seven. Description of the graph is The graph will be shaded above the line.

The inequality is expressed as y  ≥ 7x - 4

Now, just focusing on the equality sign

y = 7x - 4

y = 7x + (-4) --- (1)

Any linear equation in slope-intercept form has the following generic form:

y = mx + c --- (2)

so by equation 1 and 2

mx = 7x

m = 7

the equation  y  ≥ 7x - 4,

Put x = 0

y = 7(0) - 4

y = -4

As a result, the graph will look like a solid line with such a negative y-intercept of 4 and a seven slope. It will be shaded above the line on the graph.

To know more about linear equation visit:

https://brainly.com/question/11897796

#SPJ4

By using the piecewise function, the points f(–1), f(2), and f(12) are as follows;

Since the value of x is -1, the output value of this piecewise-defined function can be calculated by using the second piecewise-defined function as follows;

f(x) = x + 4

f(-1) = -1 + 4

f(-1) = 3.

Since the value of x is 2, the output value of this piecewise-defined function can be calculated by using the second piecewise-defined function as follows;

f(x) = x + 4

f(2) = 2 + 4

f(2) = 6.

Since the value of x is 12, the output value of this piecewise-defined function can be calculated by using the third piecewise-defined function as follows;

f(x) = 4x - 7

f(12) = 4(12) - 7

f(12) = 41

Read more on piecewise function here: brainly.com/question/18670055

#SPJ1

Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

The height of the flagpole is approximately 33.16 ft.

Step-by-step explanation:

Use ratio and proportion

Let h be the height of the flagpole

\(\frac{h}{43ft} =\frac{64 in}{83in}\\ h = \frac{43ft(64in)}{83in} \\h = 33.16ft\)

The final cost of the item after a 35% discount and 9.8% sales tax is $53.54.

The given problem is related to percentage discounts and sales tax and can be solved using the following steps:

Step 1: Firstly, we need to determine the discount amount, which is 35% of the original price. Let's calculate it. Discount = 35% of the original price = 0.35 x $75 = $26.25

Step 2: Now, we will calculate the new price after the discount by subtracting the discount amount from the original price.New Price = Original Price - Discount AmountNew Price = $75 - $26.25 = $48.75

Step 3: Next, we need to calculate the amount of sales tax. Sales Tax = 9.8% of New Price Sales Tax = 0.098 x $48.75 = $4.79

Step 4: Finally, we will calculate the final cost of the item by adding the new price and the sales tax.

Final Cost = New Price + Sales Tax Final Cost = $48.75 + $4.79 = $53.54

Therefore, the final cost of the item after a 35% discount and 9.8% sales tax is $53.54.I hope this helps!

For more such questions on final cost

https://brainly.com/question/29509552

#SPJ8

By solving a system of equations, we conclude that the measure of the third angle is 90°.

First, let's define the variables:

Remember that the sum of the internal angles of a triangle always give 180°, then:

A + B + C  =180°.

We also know that:

B = A + 24°

C = B + 33°

Then we have a system of equations:

A + B + C  =180°

B = A + 24°

C = B + 33°

To solve this, we can first replace the third equation into the first one:

A + B + (B + 33°) =180°

A + 2B + 33° = 180°

Now let's replace the second equation there:

A + 2*(A + 24°) + 33° = 180°

3*A + 48° + 33° = 180°

3*A = 180° - 48° - 33° = 99°

A = 99°/3 = 33°

Then:

C = B + 33° = (A + 24°) + 33° = (33° + 24°) + 33° = 90°

We conclude that the measure of the third angle is 90°.

If you want to learn more about systems of equations:

https://brainly.com/question/13729904

#SPJ1

Step-by-step explanation:

this is the process to find area of trapezoid hope you understand

The area under the standard normal curve that lies to the right of the z-score 0.48 and to the left of the z-score 0.79 is approximately 0.1008.

To determine the area under the standard normal curve that lies to the right of the z-score 0.48 and to the left of the z-score 0.79, we need to calculate the cumulative probability for each of these z-scores and then subtract the cumulative probability of the left z-score from the cumulative probability of the right z-score.

Given the z-scores 0.48 and 0.79, we can use a standard normal distribution table or a statistical calculator to find the cumulative probabilities associated with these z-scores.

Looking at the table or using a calculator, we find:

For the z-score 0.48, the cumulative probability to the left is approximately 0.6844.

For the z-score 0.79, the cumulative probability to the left is approximately 0.7852.

To find the area between these two z-scores, we subtract the cumulative probability of the left z-score from the cumulative probability of the right z-score:

Area = Cumulative Probability (0.79) - Cumulative Probability (0.48)

= 0.7852 - 0.6844

≈ 0.1008

Therefore, the area under the standard normal curve that lies to the right of the z-score 0.48 and to the left of the z-score 0.79 is approximately 0.1008.

Learn more about area here

https://brainly.com/question/25292087

#SPJ11

Based on the study results, there appears to be a difference among North American, European, and Asian organizations in the proportion of organizations that raised prices in response to unfavourable exchange rates.

Out of the surveyed sample, 46.67% of North American organizations (70 out of 150) raised prices, while 54.17% of European organizations (65 out of 120) and 30% of Asian organizations (30 out of 100) raised prices. Therefore, it can be concluded that a higher proportion of European organizations raised prices compared to North American organizations, while Asian organizations had the lowest proportion.

However, it is important to note that this study only represents a sample of organizations and may not necessarily reflect the entire population of each region.

To know more about proportion visit:-

https://brainly.com/question/31548894

#SPJ11

The measure of the side length x in the right triangle is approximately 23.6 feet.

The figure in the image is a right triangle with one of its interior angle at 90 degrees.

Angle A = 29 degree

Adjacent to angle A = X

Hypotenuse = 27 ft

To solve for the missing side length x, we use the trigonometric ratio.

Note that: cosine = adjacent / hypotenuse

Hence:

cos( A ) = adjacent / hypotenuse

Plug in the given values and solve for x.

cos( 29° ) = x / 27

Cross multiplying, we get:

x =  cos( 29° ) × 27

x = 23.6 ft

Therefore, the value of x is approximately 23.6 feet.

Learn more about trigonometric ratio here: brainly.com/question/28016662

#SPJ1

Answer:

Greatest common factor of 21 28 and 42

We found the factors and prime factorization of 28 and 42. The biggest common factor number is the GCF number. So the greatest common factor 28 and 42 is 14.

Tell me if I'm wrong.

Answer:

81

Step-by-step explanation:

Find out the percentage of people who had mispriced item.

3/50 = 0.06

6% of people had mispriced items.

Find 6% of 1,350.

81

81 people would have mispriced items.

Answer:

81

Step-by-step explanation:

I did this by doing 1,350 ÷ 50, which gave me 27. I then did 27 times 3, the average amount of people with a mispriced item per 50 people, which gave me 81 as a result. And with that, I can conclude that you would expect there to be 81 people per day who have a mispriced item.

Answer:

-5,0,0.8,1,1 is the answer

Hello! I know it's late but i want to help you!

Step-by-step explanation:

Simplify the expression.

Exact Form:

29

12

Decimal Form:

2.41

¯

6

Mixed Number Form:

2

5

12

So, I'll chose A.

Mark me brainest please. Hope I helped! Hope you make an 100%

-Anna

No, at 0°F the ticket sales would be -631.25 and it is not reasonable (or possible) to have negative ticket sales in a linear regression model for predicting ticket sales.

In the statistics, the concept of regression analysis is useful for creating a predictive model that predicts the value of a target or dependent variable using all the controlling independent or explanatory variables. Depending on the number of independent variables, regression can be called simple regression or multiple regression. We have a linear regression model that predicts ticket sales for popular water parks.

The regression line equion in this model is written as -631.25 + 11.25 (current temperature in degree F). Comparing above equation with y = a + bx, here, the interaction in the equation above means that hourly ticket sales will be -631.25 when the current temperature (in degrees Fahrenheit) is 0. This does not make sense because hourly ticket sales can be at least 0 but never a negative number. So, it is not reasonable interpretation.

For more information about linear regression, visit :

https://brainly.com/question/25987747

#SPJ4

The solution of number 19.5 rounded to the nearest whole number is, 20

We have to give that,

The number 19.5 is rounded to the nearest whole number.

Now, Round to the nearest whole number as,

⇒ 19.5

Here,

the number 5 is equal to 5.

Hence, Round to the whole number as,

⇒ 19.5 ≈ 20

To learn more about rounding numbers visit:

brainly.com/question/27207159

#SPJ6

Answer:

The height of the building is approximately;

B. 154 ft

Step-by-step explanation:

From the given drawing of the right triangle formed by the measure of the angle to the top of the building, 64°, the height of the building, 'h', and their distance from the bottom of the building, 75 ft., we have;

The reference angle of the right triangle = The given 64° angle

The adjacent leg length to the reference angle = 75 ft.

The opposite leg length to the reference angle  The height of the building

From the given information, the trigonometric ratio we can use to find the height is the tangent of the reference angle, given as follows;

\(tan (Reference \, angle) = \dfrac{Opposite \ leg \ length}{Adjacent \ leg\ length}\)

Therefore, we have;

\(tan (64^{\circ}) = \dfrac{The \ height \ of \ the \ building, h}{75 \, ft.}\)

The height of the building, h = 75 ft. × tan(64°) = 153 feet \(9\dfrac{9}{32}\) inches

Therefore, the height of the building ≈ 154 feet.

Answer:

154 ft

Step-by-step explanation:

tan64° = \(\frac{h}{75ft}\)

h = tan64° * (75ft)

h = 2.0503038416 * 75

h = 153.77278812 ft or 154 ft rounded to the nearest foot

The Taylor polynomials P1, P2, P3, and P4 centered at a0 for f(x) are given as:P1(x) = 1P2(x) = 1 - x²/2!P3(x) = 1 - x²/2! + x⁴/4!P4(x) = 1 - x²/2! + x⁴/4! - x⁶/6!

We will apply the Taylor's theorem formula, which is supplied as follows, to determine the Taylor polynomials P1, P2, P3, and P4 centred at a0 for f(x) in the given question:f'(a)(x-a)/1 = f(x) = f(a) + f'(a)! + f''(a)(x-a)²/2! + ... + fⁿ(a)(x-a)ⁿ/n!We have f(0) = 1f'(0) = 0f''(0) = -1f'''(0) = 0f4(0) = 1 for f(x) = cos(x) at x = 0.We can get the following polynomial expressions by using these values in the Taylor's theorem formula:P1(x) = 1P2(x) = 1 - x²/2!P3(x) = 1 - x²/2! + x⁴/4!P4(x) = 1 - x²/2! + x⁴/4! - x⁶/6!Consequently, the Taylor polynomials P1, P2, P3, and P4 for f(x) are provided as follows:P1(x) = 1P2(x) = 1 - x²/2!P3(x) = 1 - x²/2! + x⁴/4!P4(x) = 1 - x²/2! + x⁴/4! - x⁶/6!

To know more about Taylor polynomials Visit:

https://brainly.com/question/30481013

#SPJ11

The scaling assumptions underlying a question determine which descriptive measure is appropriate.

The descriptive degree can be defined as the sort of measure handling the quantitative information in a mass that famous certain preferred characteristics. The descriptive measure has different types, all depending on the one-of-a-kind characteristics of the statistics. One very critical degree is the correlation coefficient, now and again referred to as Pearson's r. The correlation coefficient measures the diploma of linear association between two variables.

A statistic is a numerical descriptive degree computed from sample information. A parameter is a numerical descriptive measure of a populace. Descriptive facts encompass measures of the count, together with; frequencies and chances, measures of vital tendency including; imply, median, and mode, measures of variability including; trendy deviation, variance, and kurtosis, and measures of role, along with; percentiles and quartiles.

To learn more about descriptive measure visit here:

brainly.com/question/28571394

#SPJ4

The equation of the line in point-slope form is: y - 5 = -x + 2.

The equation of the line can be modelled as y - b = m(x - a), in point-slope form..

Given the following:

(2, 5) and (-1, 8), find the slope

Slope of the line (m) = change in y / change in x = (8 - 5)/(-1 - 2)

Slope of the line (m) = 3/-3

Slope of the line (m) = -1

Substitute (a, b) = (2, 5) and m = -1 into y - b = m(x - a):

y - 5 = -1(x - 2)

y - 5 = -x + 2

Therefore, the equation of the line in point-slope form is: y - 5 = -x + 2.

Learn more about the point-slope form on:

https://brainly.com/question/24907633

#SPJ4

In 2016,  the probability that a randomly selected UC undergrad had experienced both food insecurity and homelessness at some point in the past 12 months is 0.0385

Since form the graph, we know that 77% experienced homelessness and

9% Food Insecurity

If the total sample is 100%

Then the the probability that a randomly selected UC undergrad had experienced both food insecurity and homelessness at some point in the past 12 months is:

0.05 x 0.77 = 0.0385

Learn more about probability:
https://brainly.com/question/30034780
#SPJ1

Full Question:

See attached image.

In 2016, what was the probability that a randomly selected UC undergrad had experienced both food insecurity and homelessness at some point in the past 12 months?

Answer:

1 quart is more.

Step-by-step explanation:

1 quart =4cups so 1 quart is more.

Answer:

1 liquid quart is more then 3 cups because 1 quart is the same as 4 cups and 4 cups is more then 3 cups...

Answer:

FJ = 24

DM = 16

EM = 18

Step-by-step explanation:

I remember that the centroid is 2/3 of the distance from each vertex to the midpoint of the opposite side. Therefore the median is split into two parts where one side is always twice as long as the other. So given that segment ML is 8, the other part of the segment (DM) must be 16 as 16 is 2/3 of 24 and 8 is 1/3 of 24 and 1/3 + 2/3 = 1.

Therefore, since MJ is 8, FM must be twice as long so it is 16. Add them up to get FJ, and 8 + 16 is 24.

Finally for EM, since the longer part of the median is twice the length of the smaller part EM must be 18 since 9 × 2 = 18, and 2/3 of 18 is 27, 9 + 18 = 27.

Answer:

A. 1/2 inch:10 miles

Step-by-step explanation:

1/2*4.5=2 1/4

10*4.5=45

Step-by-step explanation:

Start by finding how many toys he builds in an hour

192÷8= 96÷4 = 24

Now divide 24 by 60 to find how many toys he builds per minute (60 because there are 60 minutes in an hour)

24÷60 = 12÷30 = 6÷15 = 2÷5= \(\frac{2}{5}\)

He builds \(\frac{2}{5}\) of a toy or 40% of a toy every minute

Multiply the amount of toy(s) he builds per minute times 5 to find out how many he would build in 5 minutes

\(\frac{2}{5}\) × 5= \(\frac{2}{5}\) × \(\frac{5}{1}\) = 2

He builds 2 toys every 5 minutes

I hope this helps!!!