A right rectangular pyramid is sliced horizontally (across) at the red line by a plane parallel to the base. What is the shape of the cross-section?

Answer:

[tex]\huge\boxed{\sf |AB|=10 \ units}[/tex]

Step-by-step explanation:

Coordinate of A = [tex](x_1,y_1)[/tex] = (-7,-6)

Coordinate of B = [tex](x_2,y_2)[/tex] = (1,0)

We will use distance formula to find the length of AB.

[tex]|AB|=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2} \\\\|AB|=\sqrt{(1-(-7))^2+(0-(-6))^2} \\\\|AB|=\sqrt{(1+7)^2+(6)^2} \\\\|AB|=\sqrt{(8)^2+36} \\\\|AB|=\sqrt{64+36} \\\\|AB|=\sqrt{100} \\\\\boxed{|AB|=10 \ units}\\\\\rule[225]{225}{2}[/tex]

Answer: Sally has 16 friends

Step-by-step explanation:

she has 40 balls

subtract by how many she gave away

40-8=32

she gave 2 to each friend

divide the balls left by 2

32/2=16

Sally has 16 friends

Answer:

The answer is C

Step-by-step explanation:

Irregular polygons are polygons with unequal sides and angles.

Answer:

B

Step-by-step explanation:

the symbol in the x < 0 has a line under it meaning it is a closed circle, and the other equation does not, so it is an open circle. And since the question has (or) in it, it means that the arrows should be facing away from eachother.

The better deal based on the information is mortgage A as it's cheaper.

From the information given, the loan amount for mortgage A will be:

= 3% × $4500

= $135

The loan amount for mortgage B will be:

= 6% × $7500

= $450

From the information, the better deal is mortgage A.

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The turtle that would most likely win the race is the turtle 7

The turtles are given as:

Turtle = 1 to 13

When two dice are rolled and the sum of the outcomes are taken, the sample space is:

Outcome   Frequency

2                    1

3                    2

4                    3

5                   4

6                   5

7                    6

8                    5

9                    4

10                   3

11                    2

12                    1

The outcome 7 has the highest frequency of 6

This means that the turtle 7 has the highest chance of winning the race

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Answer:

B: A square is a quadrilateral

Step-by-step explanation:

Answer:

Step-by-step explanation:

(15 - 5)/(19 + 19)= 10/38= 5/19 is the slope

y - 5 = 5/19(x + 19)

y - 5 = 5/19x + 5

y = 5/19x + 10

The system of linear equations that best represents the situation are:

z+y=18

3z +2y=44

In order to determine the values of the two types of cheese, two set of linear equations can be formed from the question. The equations have to be solved together using either the elimination , substitution or graphical methods.

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The equation for the scatter plot will be,y=3x+15. Scatter plots are essential for determining relationships, if any, between the values of observable quantities or occurrences.

A set of dots plotted on a horizontal and vertical axis is known as a scatter plot. Because they may demonstrate the degree of connection,

if any, between the values of observed quantities or events, scatter plots are crucial in statistics.

The equation of the trend line for the scatterplot below will be y=3x+15.

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The ratio of any side and hypotenuse is always less than 1.

The question seems incomplete

The options are not given the options are

a. 1

b. 0.5

c. 2

[tex]sin\theta=\frac{Opposite side}{hypotenuse}[/tex]

Therefore, the ratio of any side and hypotenuse is always less than 1. Now, in the case of 0 or 90 degrees, the figure is no longer a triangle because one of the sides ceases to exist while the other side coincides with the hypotenuse.

This is the reason that in these extreme cases, sin and cosine take values 0 or 1.

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The value of the digit 5 in the tenths place of 3.545 is 100 times the value of the digit 5 in the thousandths place.

It is described as the comparison of two quantities to determine how many times one obtains the other. The proportion can be expressed as a fraction or as a sign: between two integers.

We have:

Evan has a bag of apples that weighs 3.545 pounds.

The value of the digit 5 in the tenths place of 3.545 is 0.500

The value of the digit 5 in the thousandths place of 3.545 is  0.005

Take the ratio of both values:

tenths place value/thousandths place value =  0.500/0.005

tenths place value/thousandths place value =  100

tenths place value = 100(thousandths place value)

Thus, the value of the digit 5 in the tenths place of 3.545 is 100 times the value of the digit 5 in the thousandths place.

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Answer:

D.) 7 and -4

Step-by-step explanation:

Coefficients are numbers placed directly before a variable.

(7) is a coefficient because it is placed before x².

(-4) is a coefficient because it is placed before x. The negative is included.

(6) is not a coefficient because it is not altering any variable through multiplication/division.

The volume of each individual brick is 72 cubic inches.

The volume of a rectangular prism of height H, width W, and length L is given by:

V = L*H*W

In this case we have:

Then, replacing these in the volume equation, we get:

V = (8 in)*(4 in)*(2.25 in) = 72in³

So the correct option is the second one.

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Answer:

The volume of each individual brick is 72 cubic inches.

Step-by-step explanation:

How to get the volume of each brick?

The volume of a rectangular prism of height H, width W, and length L is given by:

V = L*H*W

In this case we have:

L = 8in

W = 4in

H = 2.25 in

Then, replacing these in the volume equation, we get:

V = (8 in)*(4 in)*(2.25 in) = 72in³

So the correct option is the second one.

Answer: 13.7 ft

Step-by-step explanation:

Use Pythagorean theory to find radius

C^2 - B^2 = A^2

We know the hypotenuse (cone to edge) is 15

We will call that C

We know the height is 6

We will call that B

We are looking for A or radius

15^2 - 6^2 = A^2

225 - 36 = A^2

189 = A^2

Take square root of both sides

13.7 = A (radius)

Answer: (0, 1), (-1, -3)

Given two equation's:

Solve them simultaneously:

[tex]\sf 2x^2 + 6x + 1 = -4x^2 + 1[/tex]

[tex]\sf 2x^2 + 4x^2 = 1 - 1[/tex]

[tex]\sf 6x^2 + 6x = 0[/tex]

[tex]\sf 6x(x + 1) = 0[/tex]

[tex]\sf 6x = 0, \ x + 1 = 0[/tex]

[tex]\sf x = 0, \ x = -1[/tex]

(a) When x = 0,     y = −4(0)² + 1 = 1

(b) When x = -1,    y = -4(-1)² + 1 = -3

Solution: (x, y) → (0, 1), (-1, -3)

Answer:

System of equations

[tex]\large \begin{cases}y=2x^2+6x+1\\y = -4x^2+1\end{cases}[/tex]

To solve the given system of equations, use the substitution method:

[tex]\large\begin{aligned}2x^2+6x+1 & = -4x^2+1\\2x^2+6x+1+4x^2-1 & = 0\\6x^2+6x & = 0 \\6x(x+1) & = 0\\\implies x+1 & = 0 \implies x=-1\\\implies 6x & = 0 \implies x=0\end{aligned}[/tex]

Therefore the x-values of the solutions are:

        [tex]\large \begin{aligned}x & =-1\\x & =0\end{aligned}[/tex]

Substitute the found values of x into the second equation to find the y-values:

[tex]\large \begin{aligned}x & =-1 & \implies &-4(-1)^2+1 =-3 & \implies & (-1,-3)\\x & =0 & \implies & -4(0)^2+1 =1 & \implies & (0,1)\end{aligned}[/tex]

Therefore, the solutions of the system of equations are:

(-1, -3) and (0, 1)

Answer:

a

Step-by-step explanation:

Using it's concept, it is found that the probability that everyone in a simple random sample of 100 young adults owns a landline is given by:

[tex]p = (0.25)^{100}[/tex]

A probability is given by the number of desired outcomes divided by the number of total outcomes.

In this problem, 25% of the adults own a landline, and the probabilities for each adult are independent, hence the probability that everyone in a simple random sample of 100 young adults owns a landline is given by:

[tex]p = (0.25)^{100}[/tex]

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Answer:

x = - 3

Step-by-step explanation:

using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (x, 4 ) and (x₂, y₂ ) = (- 3, 8 )

m = [tex]\frac{8-4}{-3-x}[/tex]

since m is undefined, then the denominator must be zero, since division by zero is undefined , then equating the denominator to zero

- 3 - x = 0 ( add 3 to both sides )

- x = 3 ( multiply both sides by - 1 )

x = - 3

Answer:

7

Step-by-step explanation:

m=pendiente

por lo tanto:

pendiente=7

Hii!

__________________________________________________________

Answer:

Slope = 7! ^^

Step-by-step explanation:

Note that the equation is given to us in slope intercept form.

The slope intercept formula is y=mx+c.

m denotes the slope

c denotes the y intercept.

/--------------\

The slope of the line that we are working with is 7.

Remember how I said that the slope of the line y=mx+c is m?

Similarly, the slope of the line y=7x-3 is 7! ^^

--

Hope that this helped! Best wishes.

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Answer:

4 units

Step-by-step explanation:

formula

d = √(x2-x1)^2 + (y2-y1)^2

then fill in the spots

d = √(-5.4+5.4)^2 + (-5.5+9.5)^2

the subtraction sign became an addition sign due to it being a double negative

Hope this helped

The commission on the sales will be $118.2.

The Percentage is defined as representing any number with respect to the 100. It is denoted by the sign %.

Given that:-

Elijah Henson sold $1,576 worth of merchandise. his commission rate is 7 1/2%

The commission amount will be:-

7.5 % of $1576 will be calculated as:-

Commission = 1576 x 0.075

Commission = $118.2

Therefore the commission on the sales will be $118.2.

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Answer:

You count the cat's ears as the area of a right triangle, the middle as the area of a rectangle, and the cat's chin as the area of a semi-ellipse.

Answer:

Your answer is 3282.34

Step-by-step explanation:

1/3 x 3.14 x 14 ^2 x 16

this is all you have to do really.

Answer:

f(-2) = 14

Step-by-step explanation:

put -2 where x is

f(x) = 3x²-x

f(-2) = 3(-2)²-(-2)

f(-2) = 3(4)+2

f(-2) = 12+2

f(-2) = 14

Answer:

13.2 Kilometers an Minute, or 220 Kilometers an Hour

Step-by-step explanation:

26,400 divided by 2 = 13.2 (Minutes) Divided by 60 = 220 (Hours).

The quotient of the expression [tex]\frac{3y+2}{3y} divided \frac{6y^{2} + 4y}{3y + 2}[/tex]  is 3y + 2 / 6y

The quotient of the expression can be found as follows:

3y + 2 / 3y ÷ 6y² + 4y / 3y + 2

Therefore,

3y + 2 / 3y × 3y + 2 / 6y² + 4y

Hence,

3y + 2 / 3y × 3y + 2 / 2y(3y + 2)

Therefore,

1 / 3y × 3y + 2 / 2

Hence,

3y + 2 / 2(3y)

3y + 2 / 6y

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Answer: undefined

Step-by-step explanation:

The slope of a vertical line is undefined because there is no rise/run and the slope formula would give you something over 0, which is undefined

Answer:

undefined

Step-by-step explanation:

the slope of the line graphed (a vertical line) is undefined.

No matter how large we set out slope, we will never reach a vertical slope. As we approach infinity, we will get closer, and closer, but we can never fully have a slope of a vertical line.

A slope of 1 means that we move up 1, over 1. A slope of 2 means that we move up 2, over 1. Even if we move up 5000, we still move over at least slightly (with a slope).

It is undefined because it does not run horizontally.