a window in the shape of a parrallelogram has a base of 36 inches and a height of 45 inches. what is the area of the window ​

Answer:

[tex]\large\boxed{The\ slope=\dfrac{3}{2}}[/tex]

Step-by-step explanation:

The formula of a slope:

[tex]m=\dfrac{y_2-y_1}{x_2-x_1}[/tex]

From the graph we have the points (0, 0) and (4, 6) - look at the picture.

Substitute:

[tex]m=\dfrac{6-0}{4-0}=\dfrac{6}{4}=\dfrac{6:2}{4:2}=\dfrac{3}{2}[/tex]

The slope of the line is [tex]\frac{3}{2}[/tex]

The change in y co-ordinate with respect to the change of x co-ordinate of a line is called the slope of the line.

Slope of a line is denoted by "m"

If two points on the line are [tex](x_{1},y_{1})[/tex] & [tex](x_{2} ,y_{2})[/tex], then m = [tex]\frac{y_{2}- y_{1} }{x_{2} -x_{1} }[/tex]

From the given graph, We take to points (2, 3) & (4, 6)

Now, Slope (m) = [tex]\frac{y_{2}- y_{1} }{x_{2} -x_{1} }[/tex]

                         = [tex]\frac{6-3}{4-2}[/tex]

                         = [tex]\frac{3}{2}[/tex]

The slope =  [tex]\frac{3}{2}[/tex]

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Answer: I can barly see that sry i cant awnser

Step-by-step explanation:

Answer:

3rd graph

Step-by-step explanation:

just that easy

Answer:

200

Step-by-step explanation:

Answer:

it is a rectangular prism

Step-by-step explanation:

it is 3D and when something has four faces that are rectangular and two that are sqaure it makes it a rectangular prism. imagine the rectangles on the sides and sqares at the end, it looks like a rectangle =).

B 'cause A return value equal to 0

A. Prism

A prism has two bases

Answer:

x = 7

Step-by-step explanation:

5 + 3x + 7 = 5x - 2

Solve for x and you get 7

Answer:

x = 7

Step-by-step explanation:

We are given that A, B and C are collinear points and B is in between A and C.

The length from A to B is [tex] 5[/tex], length from B to C is [tex] 3x + 7 [/tex] and AC is [tex] 5 x - 2 [/tex].

We are to find the value of x.

[tex] A B + B C = A C [/tex]

[tex] 5 + 3 x + 7 = 5 x - 2 [/tex]

[tex] 5 x - 3 x = 5 + 7 + 2 [/tex]

[tex] 2 x = 1 4  [/tex]

[tex] x = \frac { 1 4 } { 2 } [/tex]

x = 7

Answer:

A)

Step-by-step explanation:

Answer:

Step-by-step explanation:

l=2w-5

2(l+w)=80

l+w=40

2w-5+w=40

3w=45

w=15 feet

l=25 feet.

the width is 15 feet and length is 25 feet.

Answer:

To get the x-intercepts of the function, f(x) = 4x2 – 24x + 20

It has to be equated to zero and the values of x are the x-intercepts. So,

4x2 – 24x + 20 = 0

The resulting equation is a quadratic equation which can be solved by different methods. The solution is

x = 5, 1

The average therefore is:

(1+5/)2 = 3

The equation that represents the average of the x-intercept is 3.

Option C is the correct answer.

An equation is a mathematical statement that is made up of two expressions connected by an equal sign.

Example:

2x + 4 = 9 is an equation.

We have,

f(x) = 4x² - 24x + 20

x-intercept is f(x) = 0.

Now,

4x² - 24x + 20 = 0

4(x² - 6x + 5) = 0

x² - 6x + 5 = 0

x² - (5 + 1)x + 5 = 0

x² - 5x - x + 5 = 0

x(x - 5) - 1(x - 5) = 0

(x - 1)(x - 5) = 0

x = 1 and x = 5

The average of x-intercept.

= (1 + 5)/2

= 6/2

= 3

Thus,

The average of the x-intercept equation is 3.

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Answer: Last option.

Step-by-step explanation:

By definition, the square of a binomial is:

[tex](a+b)^2=a^2+2ab+b^2\\\\(a-b)^2=a^2-2ab+b^2[/tex]

Keeping the above on mind, you have the following expression given in the problem:

[tex](x+5)^2[/tex]

Therefore, if:

[tex]a=x\\b=5[/tex]

You obtain the following trinomial:

[tex](x+5)^2=x^2+2(x)(5)+5^2=x^2+10x+25[/tex]

Therefore, the answer is the last option.

Answer:

D. x2 + 10x + 25

Step-by-step explanation:

Answer:

see explanation

Step-by-step explanation:

If the sequence is arithmetic then there will be a common difference d between consecutive terms, that is

8 - 4 = 4

16 - 8 = 8

22 - 16 = 6

32 - 22 = 10

The difference between terms is not common

Hence this is not an arithmetic sequence

Answer:

a) Neither arithmetic nor Geometric

Explanation:

Since 99-89.9= 9.1, and 89.9 - 78.8 = 11.1, the sequence is not arithmetic.

Like wise 89.9/99=0.908 and  78.8/89.9 = 0.876 makes it not a geomtric sequence

Step-by-step explanation:

Answer: Option 'a' is correct.

Step-by-step explanation:

Since we have given that

99, 89.9, 78.8, 68.7, . . . . .

Here,

[tex]a_1=99\\\\a_2=89.9\\\\a_3=78.8\\\\a_4=68.7[/tex]

But we can see that there is minor difference between the consecutive terms:

So, we will go for common difference whether it is same or not.

[tex]a_2-a_1=89.9-99=-9.1\\\\a_3=a_2=78.8-89.9=-11.1\\\\a_4-a_5=68.7-78.8=-10.1[/tex]

Their difference are not common.

So, It is neither geometric nor arithmetic.

Hence, Option 'a' is correct.

The solution to the system of equations y = x - 4 and y = 4x + 2 is found by setting the two equations equal to one another and solving for x and y. The solution is (-1.5, -5.5).

The solution to the system of equations can be found by setting the two equations equal to each other, as they are both equal to y.

Equation 1: y = x - 4

Equation 2: y = 4x + 2

To find the point of intersection, set the two equations equal to each other: x - 4 = 4x + 2. Solve this for x to get that x = -1.5. Then, substitute x = -1.5 into one of the original equations to solve for y. If we use Equation 1, we get that y = -1.5 - 4 = -5.5. Therefore, the solution to the system of equations is (-1.5, -5.5).

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The solution to the system of equations is [tex]\(x = -2, y = -6\)[/tex]. The point of intersection is [tex]\((-2, -6)\)[/tex].

The solution to a system of equations is the point where the graphs of the two equations intersect.

1. Set the Equations Equal to Each Other:

[tex]\[ x - 4 = 4x + 2 \][/tex]

2. Solve for x:

[tex]\[ -3x = 6 \][/tex]

[tex]\[ x = -2 \][/tex]

3. Substitute x back into one of the original equations to find y

[tex]\[ y = -2 - 4 = -6 \][/tex]

So, the  solution to the system of equations is [tex]\(x = -2, y = -6\)[/tex]. The point of intersection is [tex]\((-2, -6)\)[/tex].

Answer:

1/16 of the class are left handed boys but we do not know the amount of left handed girls so we cannot be sure.

Step-by-step explanation:

1/2 * 1/8 = 1/16

there is still no way to be sure of how many girls are left handed so you should probably make a note by the problem so the mistake on the test will be realized

By multiplying the fractions, we find that 1/16 of the students in Mrs. Wallace's science class are left-handed boys.

To solve this problem, we first need to understand that it involves fraction multiplication. We know that 1/2 of the students in Mrs. Wallace's science class are boys. Out of these boys, we know that 1/8 of them are left-handed.

When you want to find out a certain amount out of a fraction, you multiply fractions. In this case, 1/2 (the number of boys in class) times 1/8 (the fraction of boys who are left-handed) gives us 1/16. Therefore, 1/16 of the students in Mrs. Wallace's science class are left-handed boys.

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Step-by-step explanation:

[tex]n-a\ number\\\\3.145<n<3.146\Rightarrow 3.1450<n<3.1460\\\\n\in\{3.1451,3.1452,\ 3.1453,\ 3.1454,\ ...,3.1459\}[/tex]

Answer:

C. a 180° rotation about its center.

Answer:

The correct answer option is C. a 180° rotation about its center.

Step-by-step explanation:

We are to determine whether which of the transformations will always map a parallelogram onto itself.

We know that a parallelogram has a rotational symmetry of 2 so during a rotaion of 360 degrees, a parallelogram maps onto itself twice, which is at 180^{\circ} and 360^{\circ} about its center.

Therefore, the correct answer option is C. a 180° rotation about its center.

Answer:

JM

Step-by-step explanation:

If it is equal to each other than all you do is look at what it will be like for the other one.

A is at the beginning and D is at the end.

J is at the beginning and M is at the end.

JM is your answer.

Answer:

JM corresponds to AD.

Step-by-step explanation:

Look at their relative positions in the 2 names.

A and D are the first and last letters.

So the answer is JM because they are the first and last letters in JKLM.

Answer:

The answer is 8

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

There are 2 secant lines intersecting a circle. We can use far arc - near arc formula to find this.

Let far arc be arc AE, and near arc be arc BD. So the theorem tells us:

Measure of Angle C = half of the difference of far arc - near arc

so we can say:

∠ACE = half of (arc AE - arc BD)

or

∠ACE = [tex]\frac{1}{2}(172-58)[/tex]

Option B is right.

Answer:b

Step-by-step explanation:

Answer:

0.3

Explanation:

We are given that:

Probability that a randomly chosen person lives in the East is 0.12

P(East) = 0.12 ..................> I

Probability that a randomly chosen person lives in the West is 0.18

P(West) = 0.18 ............> II

Now, we want to find the probability that the randomly chosen person lives in the East or West

To do this, we will use the following formula:

P(A or B) = P(A) + P(B)

Applying this rule to our givens:

P(East or West) = P(East) + P(West)

P(East or West) = 0.12 + 0.18

P(East or West) = 0.3

Hope this helps :)

Answer:

0.30

Step-by-step explanation:

The probability that a person chosen at random lives in the east region is 0.12

The probability that a person chosen at random lives in the west region is 0.18

The probability that a person chosen at random lives in east or west region;

[tex]P(E\:or\:W)=P(E)+P(W)[/tex]

This implies that;

[tex]P(E\:or\:W)=0.12+0.18[/tex]

[tex]P(E\:or\:W)=0.30[/tex]

Answer:

red is the reflection ,black is (-5,8)

Step-by-step explanation:

Answer:

the image of (-5,8) after a reflection over the y-axis is (5,8)

Step-by-step explanation:

the image of (-5,8) after a reflection over the y-axis

When a point is reflected over y axis, then the value of x changes to -x.

the value of y remains the same.

If (x,y) is reflected over y axis , then it becomes (-x,y)

The point (-5,8) after reflection over y axis it becomes (-(-5),8) that is (5,8)

the image of (-5,8) after a reflection over the y-axis is (5,8)

Check the picture below.

notice chord QR is a diameter, thus the vertex at P has a right-angle by Thales theorem.

Answer:

y = 20x

Step-by-step explanation:

We know that the car gets 20 miles per gallon and the number of miles traveled varies directly with the number of gallons of gas the tank holds.

We are to write a direct variation equation which represents this situation.

Direct variation is expressed in the form [tex]y=kx[/tex], where [tex]k[/tex] is the constant of variation.

So for this situation, the direct variation equation will be:

[tex]y=20x[/tex]

Answer: [tex]y=20x[/tex]

Step-by-step explanation:

By  definition, a direct variation equation has the form shown below:

[tex]y=kx[/tex]

Where k is a constant, y is the dependent variable and x is the independent variable.

According to the problem, you know that your car gets 20 miles per gallon. The number of miles traveled varies directly with the number of gallons of gas the tank holds.

Then, you can write the following direct variation equation that represents the situation:

y: The number of miles traveled

x:  the number of gallons of gas the tank holds.

k: 20 (Because your car gets 20 miles/gallon)

Then:

[tex]y=20x[/tex]

radius(r)=1cm

answer:-

diameter(d)=2r=2cm

Answer:

Step-by-step explanation:

A diameter is two times longer than a radius. Therefore, if the radius r = 1cm, then the diameter d = 2(1cm) = 2cm.

Final answer:

The sales price of the skirt was $15.60.

Explanation:

In this problem, we are given that the total cost of the skirt, pair of shoes, and pair of socks is $34.95 before tax. We are also given that the pair of socks costs $3.75. Since the original prices of the skirt and shoes were the same, we can assume they each cost x dollars.

Therefore, the equation we can set up is: x + x + 3.75 = 34.95.

We can solve this equation to find the value of x, which represents the original price of the skirt. Subtracting 3.75 from both sides, we get: 2x = 31.20. Dividing both sides by 2, we find that x = 15.60. Therefore, the sales price of the skirt was $15.60.

The function which is quadratic is:

           [tex]y-3x^2=3(x^2+5)+1[/tex]

We know that the general equation of a quadratic function is given by:

[tex]y=ax^2+bx+c[/tex]

where a , b and c are real numbers.

1)

[tex]y-3x^2=3(x^2+5)+1[/tex]

On solving we get:

[tex]y-3x^2=3x^2+15+1\\\\\\y=3x^2+3x^2+1+15\\\\\\y=6x^2+16[/tex]

Hence, the function is quadratic.

2)

[tex]y^2-7x=2(x^2+6)+7[/tex]

It is not a quadratic equation since we have a term as : [tex]y^2[/tex]

and hence the equation will not match the general equation of the quadratic function.

3)

[tex]y-2x^2=6(x^3+5)-4[/tex]

as it has a term of [tex]x^3[/tex]

Hence, it is a equation of a cubic function.

4)

[tex]y-5x=4(x+5)+9[/tex]

On solving we get:

[tex]y=9x+29[/tex]

It does not has any term of [tex]x^2[/tex]

Hence, the equation is not a quadratic function it represent a linear function.

The functions that are quadratic functions are [tex]y - 3x^2 = 3(x^2+5)+1\\[/tex] and [tex]y^2-7x= 2(x^2+6) +7[/tex].

The highest power of the polynomial is called the degree of the polynomial. The polynomial of degree two is called a quadratic polynomial.

According to the question,

1)

[tex]y - 3x^2 = 3(x^2+5)+1\\ y = 3x^2+ 15 + 3x^2 +1\\ y = 6x^2 +16[/tex]

Since the polynomial is of degree 1, It is a quadratic function.

2)

[tex]y^2-7x= 2(x^2+6) +7\\y^2= 2x^2 +7x+19[/tex]

The function is a quadratic function.

3)

[tex]y - 3x^2= 6(x^3+5)-4[/tex]

The degree of x is 3, so it is a cubic function.

4)

[tex]y - 5x = 4(x+5)+9 y \\= 4x + 5x+ 29y\\ = 9x+29[/tex]

The function is a linear function.

The functions which are quadratic equations are [tex]y - 3x^2 = 3(x^2+5)+1\\[/tex]and  [tex]y^2-7x= 2(x^2+6) +7[/tex] .

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Answer:

4) Volume model = 1723 ft³

5) The percentage of the original tank is 51200% of the mock-up

Step-by-step explanation:

4) ∵ The volume of the main tank is 882,158 ft³

∵ The dimension of the scale model is 1/8 of the original model

∵ V model/v original = (dimension model/dimension original)³

∴ Volume model/882,158 = (1/8)³

∴ Volume model = (1/512) × 882,158 = 1722.965 = 1723 ft³

5) The percentage of the original tank is

    (882158/1722.965) × 100% = 51200%

Final answer:

The volume of the scale model tank is 1/512 of the original tank's volume, which is approximately 0.1953125%. The original tank's volume is 51200% of the scale model's volume.

Explanation:

Step-by-Step Solution for Volume of Scale Model Tank

Let's denote the original dimensions of the theater's main show tank as length L, width W, and height H. Therefore, the original volume V of the tank is V = L \times W \times H.

For the scale model, each linear dimension is scaled down to one eighth of the original. Thus, the dimensions of the model will be L/8, W/8, and H/8.

Now, the volume of the scale model V_{model} can be calculated as:

The volume of the scale model is 1/512 or about 0.1953125% of the original tank's volume.

Percentage Volume of Original Tank to Mock-up Tank

To find out what percentage the original volume is of the mock-up tank, we can set up a proportion.

The original volume is 51200% of the mock-up of the tank.

Answer:

The two groups collected 573.

Step-by-step explanation:

238

+345

=

573

Answer:

he did better in his History test

Step-by-step explanation:

40-28 gives you 12 marks he lost

whereas

60-39 gives you 21 makes he lost

therefore he done better in his history test the he did in his geo test because he lost more marks in his geo test then her did in his history test

Make the denominators same

take LCM of 40 and 60

120

[tex]\frac{28*3}{40*3}\\\frac{84}{120} \\\\\frac{39*2}{60*2} \\\frac{78}{120}[/tex]

Phil did better in this history test