I'm supposed to solve for PQ. it's pythagorean theorem.​

Answer:

40 tables

Step-by-step explanation:

I think lol I'm just guessing. Hope you get it right. If I'm right just remember me as legend or the chosen one.

The maximum area of a Norman window with a perimeter of 9 feet is 81π/4 square feet.

To find the maximum area of a Norman window with a given perimeter, we can use calculus. Let's denote the radius of the semicircle as r and the height of the rectangular window as h.The perimeter of the Norman window consists of the circumference of the semicircle and the sum of all four sides of the rectangular window. Therefore, we have the equation:

πr + 2h = 9We also know that the area of the Norman window is the sum of the area of the semicircle and the area of the rectangle, given by:

A = (πr^2)/2 + rh

To find the maximum area, we need to express the area function A in terms of a single variable. We can do this by substituting r from the perimeter equation:

r = (9 - 2h)/(π)

Now we can rewrite the area function in terms of h only:

A = (π/2) * ((9 - 2h)/(π))^2 + h * (9 - 2h)/(π)

Simplifying this equation, we get:

A = (1/2)(9h - h^2/π)

To find the maximum area, we differentiate the area function with respect to h, set it equal to zero, and solve for h:

dA/dh = 9/2 - h/π = 0

Solving this equation, we find:h = 9π/2

Substituting this value of h back into the area function, we get:

A = (1/2)(9 * 9π/2 - (9π/2)^2/π) = (81π/2 - 81π/4) = 81π/4

Therefore, the maximum area of a Norman window with a perimeter of 9 feet is 81π/4 square feet.

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We get the following answers;

(a) The necessary histogram has been created and is supplied below.

(b) According to the data, it is indeed dangerous to drive close to home. Because 23% and 29% of accidents occur within 1 to 5 miles of home, respectively.

Step 1: in 2001, progressive insurance asked customers who had been involved in auto accidents how far they were from home when the accident happened. the data are summarized in the table.

Step 2:

Table :

Miles from home          % of accidents      Cumulative

Less than 1                               23                        23

1 to 5                                         29                        52

6 to 10                                       17                         69

11 to 15                                       8                          77

16 to 20                                     6                         83

over 20                                     17                        100

(a) the required histogram is made and attached below.

(b) Yes, the data indicates that driving near home is particularly dangerous. Because, less than , 1 to 5 miles from home 23%, 29% of accidents.

Hence we get the required answers.

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Answer:

4π

Step-by-step explanation:

The Period, as measured from crest-to-crest (or from trough-to-trough), is 4π, as read directly from the graph

Let x be multiply with ( 2-6 ) to get ( -10+30 )

Therefore, x ( 2 - 6 ) = (-10 + 30 )

or, x = (- 10 + 30 ) / ( 2 - 6 )

or, x = 20 / -4

or, x = -5

Therefore, -5 must be multiplied by (2 − 6) to get −10 + 30 .

Multiplying positive integers always bring about a positive integer. Multiplying negative integers constantly result in a negative integer. Multiplying a positive or negative integer usually result in a negative integer.

Multiplication and division of Integers. RULE 1: The product of a positive integer and a negative integer is negative. RULE 2: The product of positive integers is positive. RULE 3: The product of two negative integers is positive.

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The reason that the point (3, 5) is not a solution to the given inequality is given below.

We are given that;

y > 2x + 1

Now,

The inequality y > 2x + 1 can be graphed by first graphing the boundary line y = 2x + 1. Since the inequality is strict (y >), we draw a dashed line to indicate that points on the line are not solutions to the inequality. Then, we shade the region above the line to indicate all points that satisfy the inequality.

If we have (3,5) as a point, we can see that it lies on the boundary line

y = 2x + 1.

Since the inequality is strict (y >), points on this line are not solutions to the inequality

Therefore, by the inequality the answer will be given above.

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F(5)= 3.(5)+2=15+2=17

Another example: F(0)=3.(0)+2=0+2=2

You just replace the value in the two sides.

The area of the land is 3600 + 60n.

What is area?

Area is a mathematical concept that expresses the size of a region on a plane or curved surface. The area of an open surface or the boundary of a three-dimensional object is referred to as the surface area, whereas the area of a plane region or plane area refers to the area of a shape or planar lamina.

Given: A contractor is building a new subdivision.

A rectangular piece of land for a new house and yard is 60 feet wide.

The length of the land is longer than the width by a distance of n feet.

So, width = 60 feet

and length = 60 + n feet

Since, the area of rectangular piece of land (A)

Area = length x width

Area = (60 + n) x 60

Area = 3600 + 60n

Hence, the area of the land is 3600 + 60n.

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Answer:

Step-by-step explanation:

The circumference of a circle is given by the formula:

C = πd

where d is the diameter of the circle. In this case, the diameter is given as 14 cm, so we can substitute that into the formula:

C = π(14 cm)

Multiplying, we get:

C = 14π cm

So the circumference of the circle is 14π cm. The units are centimeters, since circumference is a length measurement.

if y varies inversely as the same of x, and y=7/4 when x = 1 then value of y is 7/12 when x=3

If y varies inversely as the same of x, we can write the equation:

y = k / x

where k is the constant of proportionality.

Let us find the value of constant of proportionality k:

y = 7/4 when x = 1

7/4 = k / 1

Apply cross multiplication we get:

7/4 = k

k=7/4

Now plug in the value of k to find y when x = 3:

y = k /x

y = (7/4) / 3

When a fraction is divided by the whole number then fraction is multiplied with reciprocal of the whole number.

y=7/4×1/3

Multiply the numerators and denominators.

y=7×1/4×3

We know that 7×1  is 7 and 4×3 is 12.

y=7/12

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Answer:

∠ B ≅ ∠ E

Step-by-step explanation:

Since the triangles are congruent then corresponding angles are congruent

ABC ≅ DEF

The corresponding angles are B and E

Answer:

The answer is \(\angle B\cong \angle E\)

Step-by-step explanation:

Given that

\(\Delta ABC \cong \Delta DE\)\(F\)

Hence corresponding angles are congruent

\(\angle B\cong \angle E\)

The LCD of 1/(x+2)^2, 3/(x-2)^2, and 4/(x^2-4) is (x+2)^2(x-2)^2(x+2)(x-2) = (x+2)^3(x-2)^3.

To find the lowest common denominator (LCD) of three fractions, we need to identify the factors of each denominator and select those factors that are common to all denominators.The given fractions are: 1/ (x+2)^2, 3/ (x-2)^2, and 4/ (x^2-4).

The first denominator (x+2)^2 can be factored using the formula for the difference of two squares. The denominator of 3/(x-2)^2 can also be factored using the formula for the difference of two squares.

Finally, the denominator of 4/(x^2-4) can be factored using the formula for the difference of two squares and the formula for the sum of two squares.

So, 1/(x+2)^2, 3/(x-2)^2, and 4/(x^2-4) can be rewritten as follows:1/ (x+2)^2 = A/(x+2) + B/(x+2)^2. Multiplying both sides by (x+2)^2 gives:1 = A(x+2) + B ... (1)3/ (x-2)^2 = C/(x-2) + D/(x-2)^2.

Multiplying both sides by (x-2)^2 gives:3 = C(x-2) + D ... (2)4/ (x^2-4) = E/(x-2) + F/(x+2). Multiplying both sides by (x^2-4) gives:4 = E(x-2)(x+2) + F(x+2)(x-2) ... (3)

Now, we need to solve these equations for A, B, C, D, E, and F. First, we will solve equation (1) for A and B by substituting x = -2, which gives A = -1/4. Then we will substitute x = -2 again and solve for B, which gives B = 1/4. Next, we will solve equation (2) for C and D by substituting x = 2, which gives C = 3/4.

Then we will substitute x = 2 again and solve for D, which gives D = -3/4. Finally, we will solve equation (3) for E and F by substituting x = 2 and x = -2, which gives E = 1/2 and F = 1/2.

Now, we have A = -1/4, B = 1/4, C = 3/4, D = -3/4, E = 1/2, and F = 1/2. The LCD is the product of all the factors that appear in the denominators of the fractions, each raised to the highest power that appears.

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Answer:

u = 12;

v = 6

Step-by-step explanation:

Use trigonometry:

\( \tan(60°) = \frac{6 \sqrt{3} }{v} \)

Use the property of proportion to find v:

\(v = \frac{6 \sqrt{3} }{ \tan(60°) } = \frac{6 \sqrt{3} }{ \sqrt{3} } = 6\)

Use the Pythagorean theorem to find u:

\( {u}^{2} = {v}^{2} + ( {6 \sqrt{3}) }^{2} \)

\( {u}^{2} = {6}^{2} + ( {6 \sqrt{3}) }^{2} = 36 + 36 \times 3 = 36 + 108 = 144\)

\(u > 0\)

\(u = \sqrt{144} = 12\)

Answer:

-0.85, 0.09, 3/20, 0.3, 2/5, 3/4

Step-by-step explanation:

Turn all the fractions into decimals

2/5 -> .4

3/4 -> .75

3/20 -> .15

Then order them

-.85, 0.09, 0.15, 0.3, 0.4, 0.75

Answer:

(f-g)x is the same as f(x)-g(x)

(f-g)x= 4x^3+7x^2+8x-(7x^2-7x)

= 4x^3+7x^2-7x^2+8x+7x

=4x^3+0+15

=4x^3+15

(f-g)0= 4(0)^3+15

=0+15

=15

Answer:

The linear equation satisfying the given condition is,

\(x=t+15\)

where x is Ravi's age and t is the number of years

(after 10 years (t=10) his age becomes 25)

Step-by-step explanation:

Let x be Ravi's age

Now, his  current age is unknown, but if you add 10 to it, then it becomes 25, so

x + 10 =25

so, his current age is x = 25 =10

x = 15

Now, we find the linear equation satisfying the given condition,

Let t be the number of years that have passed since the present time

so, if 0 years have passed, his age will be 15 years

after 1 year, his age will be 16 years

after 10 years, his age will be 25 years and so on

so

\(x = t + 15\)

this satisfies the given condition, since if we add ten years i.e t = 10,

then we get 25

The equation is:

Work/explanation:

Here's the linear equation for Ravi's age.

Ravi's age is x.

If you add 10 to x you get x + 10.

That gives 25.

So the linear equation is x + 10 = 25.

The methods to reduce the risk of tuberculosis include Educating patients on respiratory hygiene

What is tuberculosis?

Mycobacterium tuberculosis is the bacteria that causes tuberculosis (TB). TB germs often attack the lungs, but they can attack any region of the body, including the kidney, spine, and brain.

When an infected individual coughs or sneezes, the germs that cause tuberculosis spread. The majority of people who are infected with the germs that cause tuberculosis do not show symptoms. When symptoms do appear, they are typically accompanied by a cough (sometimes blood-tinged), weight loss, night sweats, and fever.

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Answer:

C and E

Step-by-step explanation:

23 > 16 and \(23\geq 16\) are both true statements since the quantity of 23 is greater than that of 16.

Answer: 12 people

Step-by-step explanation:

0.30 x 40 = 12

The Distance will be  5.

The distance between two points is the length of the line segment connecting the two points on the plane. The formula for finding the distance between two points is usually d=√((x2 – x1)² + (y2 – y1)²). This formula is used to find the distance between any two points on the coordinate or x-y plane.

Let point (7,5) be A and point (4,9) be B

Distance formula =

Ab  = √(x1- x2) ² + (y1 -y2) ²

Then Distance AB will be

Ab  = √(7-4) ² + (5 -9) ²

= √ 3² + 4²

= √ 9 + 16

= 5

Hence the distance  will be 5.

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The points \((7,5)\)  \((4,9)\) are separated by a distance of \(5\) units.

The distance between the two points is given by the length of the segment between them.

The Distance Formula is a helpful tool for figuring out how far apart two points are when they are arbitrarily represented on a coordinate plane as points A\((x_{1},y_{1})\) and B\((x_{2},y_{2})\).

The Pythagorean Theorem is essentially the source of the Distance Formula. Calculating the right triangle's hypotenuse's length is the fundamental purpose of the distance formula.

Use the distance formula to get the distance between two places.

\(d = \sqrt{ (x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2} }\)

In the posted query,

\((x_{1},y_{1})=(7,5)\\\\(x_{2},y_{2})=(4,9)\)

Distance formula,

\(d = \sqrt{ (x_{2} - x_{1})^{2} +(y_{2} - y_{1})^{2} }\)

\(d = \sqrt{ (4-7)^{2} +(9-5)^{2} }\)

\(d = \sqrt{ (-3)^{2} +(4)^{2} }\)

\(d = \sqrt{ 9+16 }\)

\(d = \sqrt{ 25 }\)

\(d = 5\)

Therefore, the points \((7,5)\)  \((4,9)\) are at a distance of \(5\) units.

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Answer:

Each raffle ticket costs $5.50.

Step-by-step explanation:

☆We can use proportion to solve this!

\( \frac{22 \: dollars}{4 \: tickets} = \frac{x}{1 \: ticket} \\ \\ \frac{4x}{4} = \frac{22}{4} \\ \\ x = 5.5\)

Answer:

F = 15

Good luck! Have a wonderful day!

Answer:

you will need at least a 94 on your final project

Step-by-step explanation:

hope it helps!

The perimeter of the TV is 9 1 / 6 ft

Perimeter is the distance around a two-dimensional shape. The perimeter is the sum of the whole sides.

Therefore, the perimeter of the rectangular TV is as follows:

where

Therefore,

l = 3 1 / 3 ft = 10 / 3 ft

w = 1 1 /4 ft = 5 / 4ft

perimeter = 2(10 / 3 + 5 / 4)

perimeter = 2( 40 + 15 / 12)

perimeter = 2(55 / 12)

perimeter = 55 / 6

perimeter = 9 1 /6 ft

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I'm not sure of what your trying to find... but the slope is (10/3). The equation in  slope form is y=(10/3)x-10. The Standard form is 10x-3y=30.

Does this help?

Answer: The equation of that line is \(Y = 3 \frac{1}{3}x -10\)

Step-by-step explanation:

Answer:

I think the answer is six i just searched it  or it could be 12

Step-by-step explanation:

The greatest common factor (GCF) of 48 and 6 is 6, so:

48 - 6 = 42.

this isn't college level *laugh*

Answer: 7:13

Step-by-step explanation:

There are 7 cheese pizzas sold for every 13 pepperoni pizzas sold

Answer:

7:13

Step-by-step explanation:

Number of Std errors away from 0.12 one need to go = 1.227

Standard deviation (or σ) is a measure of how far the data are from the mean. A low standard deviation means that the data are clustered around the mean, and a high standard deviation means that the data are more scattered. Standard deviation shows how the data are distributed. This is a measure of how far each observation is from the mean.

The variance is the mean squared deviation from the mean and the standard deviation is the square root of that number. Both measures reflect the variability of the distribution, but in different units. The standard deviation is expressed in the same units as the original value (minutes, meters, etc.).

A. for 89%  ; critical z value = 1.227

                                     89% = 0.89

Critical z value = 0.89 × 0.14

                         = 1.227

Therefore number of Std errors away from 0.12 one need to go = 1.227

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