A plane intersects a pentagonal pyramid horizontally as shown. Describe the cross-section.
A)
pentagon
B)
rectangle
C)
trapezoid
D)
triangle

Answer:

163/5

Step-by-step explanation:

If your trying to find the improper fraction you have to multiply the bottom which is 5 and the whole number which is 32

32*5=160

then you add the number on top which is 3

163/5

Answer:

[tex]\frac{64}{5}[/tex]

Step-by-step explanation:

Convert 31 as a fraction... [tex](\frac{32}{1} ) *\frac{3}{5}[/tex]

Multiply across... [tex]\frac{64}{5}[/tex]

The answer is now in simplest form.

Answer:

that is all the work because i couldnt type it out.

Step-by-step explanation:

hope that helped!

Answer:

1

Step-by-step explanation:

note that i² = - 1

Thus

[tex]i^{8}[/tex]

= i² × i² × i² × i²

= - 1 × - 1 × - 1 × - 1

= 1 × 1

= 1

The value of complex number is 1. Therefore, the option B is the correct answer.

A complex number is the sum of a real number and an imaginary number. A complex number is of the form a + ib and is usually represented by z.

The given complex number is i⁸.

We know that, i²=-1

Now, i⁸ can be written as i²×i²×i²×i²

= -1×(-1)×(-1)×(-1)

= 1

Therefore, the option B is the correct answer.

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Answer:

$4.55

Step-by-step explanation:

3.25 x 1.40 = 4.55

Answer: choices 1 and 4

Step-by-step explanation:

A central angle is the angle that forms when two radii meet at the center of a circle. So the answers are the ones with point D in the middle.

The number line represents every rnumber less than 11. This would be represented by [tex]x< 11[/tex]. I hope this helps

Answer:

The number line represents every number less than 11. This would be represented

hope this helps :}

Answer:

26

Step-by-step explanation:

I subtracted DF and DE to find the missing difference for the segment EF. I'm not sure if this is correct though. I hope it helps.

The length of line segment EF is 26.

A line segment is a subset of a line which has two endpoints.

A ray has one end point and extends indefinitely on the other direction.

A line extends indefinitely on both of it's directions.

From the given data

Line segment DF has a length 38 and line segment DE has a length 12.

To find the length of line segment EF we have to subtract the length of line segment DE from length segment DF.

∴ EF = DF - DE

  EF = 38 - 12'

  EF = 26.

So, the line segment EF has a length of 26.

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Answer:

(2x³-5x²-24x+63)π

Step-by-step explanation:

According to the formula, it would be (x-3)²(2x+7)π. Expanding (x-3)², you would get (x-3)(x-3) which equals x²-3x-3x+9 which equals x²-6x+9. Now you have (x²-6x+9)(2x+7). Expanding it would equal 2x³+7x²-12x²-42x+18x+63. Combining like terms would result in 2x³-5x²-24x+63. You have to multiply it all by pi so the answer is (2x³-5x²-24x+63)π.

Answer: I hope this helps, I also used to have trouble with pythagorean therom

All of them are a right triangle because they have that little square in the corner, and no matter what, if it has that it is a right triangle.

Step-by-step explanation:

I'm guessing that the therom you need help with is pythagorean therom

a^2+b^2=c^2

  Step 1: Draw a right triangle and then read through the problems again to determine the length of the legs and the hypotenuse. Step 2: Use the Pythagorean Theorem (a2 + b2 = c2) to write an equation to be solved. Step 3: Simplify the equation by distributing and combining like terms as needed.

a = side of right triangle

b = side of right triangle

c = hypotenuse -(longest side of the triangle)

Stop and Save is the better buy because its $1.00 for 5 apples so its 20 cents per apple

and

Quick Market is $1.35 for 3 apples so its 45 cents per apple

[tex]1.00 \div 5 = 0.20[/tex]

Stop and Save Better Buy

[tex]1.35 \div 3 = 0.45[/tex]

Quick Market

Answer:

479.375

Step-by-step explanation:

Answer:

$444.67

Step-by-step explanation:

A P E X

Answer:B

Step-by-step explanation:

c=2nr  or c=nd

2*3.14 * 10= 62.8

3.14 * 20= 62.8

The circumference of the tires is 62.8 inches.

Circumference of a circle is defined for non straight curves which is the length of the boundary of the curve.

Given that, a 20-inch bicycle has tires with a diameter of 20 inches.

Diameter of the tire = 20 inches.

Radius of a circle or a circular object is half of the diameter of it.

Radius of the tire = 20 / 2 = 10 inches

Circumference of a circular object = 2πr, r is the radius.

Circumference of the tire = 2π r

                                          = 2 (3.14) (10)

                                          = 62.8 inches

Hence the circumference of a bicycle tire is 62.8 inches.

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Answer:

The y intercept is -21

Step-by-step explanation:

The y intercept is when x =0

f(0)=(0-3)(0+7)

f(0) = -3 * 7

f(0) = -21

The y intercept is -21

Do you mean restaraunt?

Something like that. I hope this helps.

Answer:

B

Step-by-step explanation:

Given

7x - 9 > 2x + 6 ( subtract 2x from both sides )

5x - 9 > 6 ( add 9 to both sides )

5x > 15 ( divide both sides by 3 )

x > 3 → B

Answer:

B

Step-by-step explanation:

Answer:

The vertical value in a pair of coordinates. How far up or down the point is. The Y Coordinate is always written second in an ordered pair of coordinates (x,y) such as (12,5). In this example, the value "5" is the Y Coordinate. Also called "Ordinate"

Step-by-step explanation:

Answer:

huh

Step-by-step explanation:

confused

Step-by-step explanation:

given

y is directly to x

to remove directly we use constant let constant be k

y=k x. (1)

let calculate value of k

as it is given

y=50 when x=5

so put in above equation (1)

50=k(5)

50/5=k

10=k

now let find y when x =11

in above equation put the value of x and k

y=10×11

y= 110

Answer:

B I believe

Step-by-step explanation:

have a good day

It's E

Its a scatter plot nothing is coordinated or anything.

Answer:

1. False

2. True

Step-by-step explanation:

Answer:

So the d) is right.

Step-by-step explanation:

we have:

-6x^2 - 2 - 3x=-8

6x^2 + 3x - 6 =0

The delta = 3^2 -4*6*(-6) = 9 + 144 = 153= 9*17

These 2 solutions are:

[tex]x_{1} =\frac{-3+3\sqrt{17} }{2*6} = \frac{-3+3\sqrt{17} }{12} =\frac{-1+\sqrt{17} }{4} \\x_{2} =\frac{-3-3\sqrt{17} }{2*6} = \frac{-3-3\sqrt{17} }{12} =\frac{-1-\sqrt{17} }{4}[/tex]

So the d) is right.

Answer:

The correct answer is -2.

Step-by-step explanation:

it is -2 because if you replaced -2 with a you would have -2 minus 1.5 which is -0.5. -0.5 multiplied by 3 gets you -1.5.

Answer:

Step-by-step explanation:

3(a + 1.5) = -1.5

3a + 3*1.5 = -1.5

3a + 4.5 = -1.5

Subtract 4.5 from both sides

3a + 4.5 - 4.5 = -1.5 - 4.5

3a +0 = - 6.0

3a = - 6

Divide both sides by 3

3a/3 = -6/3

a = -2

Answer:

radius r = 8 ft

volume V = 2144.66058 ft³

surface area A = 804.247719 ft²

circumference C = 50.2654825 ft

Step-by-step explanation:

Answer:

2 144.7 ft³

Step-by-step explanation:

So the diameter of this sphere is 16ft.

The equation of the volume of a sphere is [tex]\frac{4}{3}[/tex]πr³.

r is the radius which is half of the diameter. So half of 16 is 8.

Now all you have to do is the equation 4 x π x (8)³ divided by 3.

That should equal 2 144.7 ft³

Answer:

1023

Step-by-step explanation:

[tex] S_n = \dfrac{a(1 - r^n)}{1 - r} [/tex]

a = first term

r = common ratio

n = number of terms

Here we have

a = 1

r = 2

n = 10

[tex] S_{10} = \dfrac{1(1 - 2^{10})}{1 - 2} [/tex]

[tex] S_{10} = \dfrac{1 - 1024}{-1} [/tex]

[tex] S_{10} = \dfrac{-1023}{-1} [/tex]

[tex] S_{10} = 1023 [/tex]

Of course, since 10 is not such a large number of terms, you can simply do this:

1 + 2 + 4 + 8 + 16 + 32 + 64 + 128 + 256 + 512 = 1023

Answer: [tex]1.2447 * 10^4[/tex]

Step-by-step explanation:

1.2447 × [tex]10^4[/tex]

( scientific notation )

Move the decimal point in your number until there is only one non-zero digit to the left of the decimal point.

Answer:

1.2447 x 10^4

Step-by-step explanation:

The answer would be 1.2447 times 10 to the fourth power because to find the first part (1.2447), move the decimal place one place to the right. (.12447-> 1.2447)

Next, count how many places are to the right of the decimal.

1.2447 = 4

So, that would get you 1.2447 times 10 to the power of 4.

Answer:

a≤39/5

Step-by-step explanation:

Answer:

Not enough information.

You cant because it is an irrational number. The square root of 2 is itself irrational, and multiplying it by 7 simply scales it's value by a factor of 7. There is no way to represent it as a fraction with integers as the numerator and denominator

Answer:

A.) Extending the line of multiple of scale factor r on two corresponding vertex

B.) Scale factor r = 2.5

C.) A'B'/AB = 5/2

Step-by-step explanation:

A.) To find the centre O, take a corresponding vertex of the two shapes. Draw a line passing through the the vertex and extending beyond the initial one. The length of the line must be multiplied by the scale factor r

The center of a dilation is a fixed point in the plane in which all points are expanded or contracted.

B.)  If AB=6 mm and A'B'= 15mm,

The scale factor r = 15/6 = 5/2 = 2.5

C.) A'B'/AB = 5/2

Answer:

Construct two [intersecting, perpendicular] diameters and connect the four endpoints