Find the height of the trapezoid.

Step-by-step explanation:

A = (1, 3)

B = (3, 6)

C = (9, 2)

D = (7, -1)

the distance between 2 points is given by the Pythagoras equation based on the coordinate differences as legs of virtual right-angled triangles.

AD for example we get from

AD² = (7-1)² + (-1 - 3)² = 6² + (-4)² = 36 + 16 = 52

AD = sqrt(52) = sqrt(4×13) = 2×sqrt(13)

and AB we get from

AB² = (3-1)² + (6-3)² = 2² + 3² = 4 + 9 = 13

AB = sqrt(13)

the perimeter of the given rectangle is

2×sqrt(52) + 2×sqrt(13) = 2×2×sqrt(13) + 2×sqrt(13) =

= 6×sqrt(13) = 21.63330765...

and the area of the rectangle is

2×sqrt(13)×sqrt(13) = 2×13 = 26

Jennifer would earn more than $200. She would earn $230.02 over the period.

Simple interest is a type of interest paid only on the money invested.

Simple interest = amount invested x interest rate x time

2302 x 5 x 0.021 = $230.20

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The expression that shows how many more pieces he needs to add to the puzzle to complete it is 500 - p

The given parameters are:

Total = 500

Correct = p

The remaining piece is calculated using:

Total =Correct + Remaining

Substitute known values

p + Remaining = 500

Subtract p from both sides

Remaining = 500 - p

Hence, the expression is 500 - p

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Answer:

Does not lie

Step-by-step explanation:

The equation of the circle is

[tex] {(x + 7)}^{2} + {(y - 4)}^{2} = 25[/tex]

If we substitute x=-11, and y=2, we get that:

[tex] {( - 11 + 7)}^{2} + {(2 - 4)}^{2} = 25 \\ {4}^{2} + {2}^{2} = 25 \\ 20 = 25[/tex]

Which is false, meaning it does not lie on the circle

Answer:

43.43 degrees

Step-by-step explanation:

This is a right triangle with the opposite LEG = 11 km and the hypotenuse = 16 km

sin (angle) = opposite/hypotenuse

                 = 11/16

arc sin (11/16) = angle = 43.43 degrees

Answer:

[tex]9 {e}^{6 } [/tex]

Step-by-step explanation:

yes

The regression line will be y = 20.64 - 0.3038x.

It should be noted that regression is a statistical method that determine the relationship between the variables.

Here, the regression line will be y = 20.64 - 0.3038x. The slope coefficient is -0.03038 and the intercept is 20.460.

The slope coefficient defines that for a unit increase in the percentage of vacancy rate will reduce 0.3038 unit of monthly office rent.

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Answer:

29

Step-by-step explanation:

it is 29 because mode is most occuring digit or number so 29 is the mode

Applying it's formula, the area of the given triangle is of 30 centimeters squared, that is, 30 cm².

The area of a triangle of base b and height h is given by half the multiplication of these measures, that is:

A = 0.5bh.

In this problem, we have that b = 12 cm, h = 5 cm, hence:

A = 0.5 x 12 cm x 5 cm = 30 cm².

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Answer:

it is an identity that was solved

Step-by-step explanation:

cosin - the a

Answer:

9/8 cans of paint

Step-by-step explanation:

if the furniture maker used the same amount of paint for each chair ,

we have to divide 9/4 by two to get the answer

(9/4)/(2/1) = (9*1)/(4*2) = 9/8

=> 9/8

hope this helps :)

Answer:

9/8 is the answer.

The true statement about the functions is:

"f(x) and g(x) have the same domain but different ranges."

Here we have the functions:

[tex]f(x) = -(7)^x[/tex]

[tex]g(x) = 7^x[/tex]

Two exponential functions. Notice that you can use any input in these functions, so both of these have the same domain, which is the set of all real numbers.

But the ranges are different. The exponential part can't change the sign of the base, so f(x) has the range (-∞, 0), and for g(x) the range is (0, ∞).

Then the correct option is:

"f(x) and g(x) have the same domain but different ranges."

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Answer:

its b on edge 2022 they have the same domain but different ranges

Step-by-step explanation:

I got it right :D good luck.

Horizontal distance traveled is 12unit, Equation in standard form is y = -4x² + 120x - 680 and Equation in vertex form is y = -4(x - 15)² + 220

Horizontal Distance Traveled

To find the horizontal distance traveled by Red Bird, we need to calculate the difference between the largest and smallest values of the X-axis data points. In this case, the horizontal distance traveled is:

Horizontal Distance Traveled = Largest X value - Smallest X value

                = 17 - 5

                = 12 units

The horizontal distance traveled by Red Bird is 12 units.

Equation in Standard Form

To find the equation in standard form, we need to determine the equation of a quadratic function that fits the given data points. Since we have more than three data points, we can use a quadratic regression to find the equation.

Using a regression tool or mathematical software, the equation in standard form for the given data points is:

y = -4x² + 120x - 680

Equation in Vertex Form

To find the equation in vertex form, we can convert the equation from standard form to vertex form by completing the square. The vertex form of a quadratic equation is given by:

y = a(x - h)² + k

To convert the equation to vertex form, we need to rewrite it by completing the square. The steps are as follows:

y = -4x² + 120x - 680

First, factor out the common coefficient -4:

y = -4(x² - 30x + 170)

To complete the square, we need to add and subtract the square of half the coefficient of x, which is (30/2)² = 225:

y = -4(x² - 30x + 225 - 225 + 170)

Now, rewrite the equation by grouping:

y = -4((x - 15)² - 55)

y = -4(x - 15)² + 220

The equation in vertex form is:

y = -4(x - 15)² + 220

So, the equation in vertex form for the given data points is y = -4(x - 15)² + 220.

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Answer:.2

Step-by-step explanation:.4/(.4+.3+.6+.7)

Answer:

1. Triangle 2. Pentagon 3. Hexagon 4. Parallelogram

Step-by-step explanation:

Answer:

The image has the ans.

Step-by-step explanation:

Image explains.

Answer:

Answer = most college students do not use students loans.

Step-by-step explanation:

To find the percentage of students taking out student loans we take 1,000/6000 to get roughly 17%. This is a very small number of students taking out student loans.

Answer:

Quadrant 4

Answer is D........

Therefore, any point on the perpendicular bisector of a segment is the same distance from each endpoint. Perpendicular Bisector Theorem: If a point is on the perpendicular bisector of a segment, then it is equidistant from the endpoints of the segment

Answer:

[tex]\sf m=\dfrac{1}{3}[/tex]

Step-by-step explanation:

The slope of a line can be found using the following formula:

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

Given the points (1, 5) and (4, 6):

where:

x₁ = 1, x₂ = 4

y₁ = 5, y₂ = 6

Substitute these values into the formula:

[tex]\sf \sf m=\dfrac{y_2-y_1}{x_2-x_1}\\\\m=\dfrac{6-5}{4-1}\\\\m=\dfrac{1}{3}[/tex]

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Answer:

1/3

Step-by-step explanation:

[tex]|\Omega|=30\\|A|=10\\\\P(A)=\dfrac{10}{30}=\dfrac{1}{3}[/tex]

Answer:

-A.

Step-by-step explanation:

/Correct Me If I'm Not Correct/

"Hope it's Help"

Answer:

Step-by-step explanation:

Answer:

Larger number: 21

Smaller number: 6

Step-by-step explanation:

Step 1: Make equations.

x ... larger number

y ... smaller number

First equation: The larger of two numbers is 15 more than the smaller number.

x = y + 15

Second equation: Sum of the two numbers is 27.

x + y = 27

Step 2: Solve the system of equations.

First equation: x = y + 15

Second equation: x + y = 27

Substitute x in second equation with x from first.

x + y = 27

(y + 15) + y = 27

Solve for y.

y + 15 + y = 27

2y = 27 - 15

2y = 12

y = 6

Substitute the calculated value of y back in first equation to get x.

x = y + 15

x = 6 + 15

x = 21

The slope of the graph is 745 and the y-intercept of the graph is 500

The points are given as:

(2, 1990) (5, 4225) (9, 7205)

The slope is calculated using:

m = (y2 - y1)/(x2 - x1)

So, we have:

m = (4225 - 1990)/(5 - 2)

Evaluate

m = 745

This means that the amount earned per day is 745

Hence, the slope of the graph is 745

In (a), we have

m = 745

To calculate the y-intercept, we use the following points

(x1 , y1) = (0,y)

Recall that:

m = (y2 - y1)/(x2 - x1)

So, we have:

745 = (4225 - y)/(5 - 0)

Evaluate the difference

745 = (4225 - y)/(5)

Multiply both sides by 5

3725 = 4225 - y

Solve for y

y = 500

This means that the initial amount earned is 745

Hence, the y-intercept of the graph is 500

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Answer: 25

Step-by-step explanation:

[tex]\frac{23+27}{2}=\boxed{25}[/tex]