A right rectangular pyramid is sliced vertically (down) by a plane passing
through the vertex of the pyramid. what is the shape of the cross-section?

The slope and length of segment DE in the given triangle are: 0.5, and 1.6 units respectively.

The slope of lines that are parallel to each other are always the same.

Segment DE is parallel to segment BC in triangle ABC.

Since slope of BC is 0.5, slope of DE would also be: 0.5.

Since E and D are the the midpoints of AC and AB respectively, it means that:

Length of DE = 1/2(length of BC)

Length of DE = 1/2(3.2)

Length of DE = 1.6 units

Therefore, slope of DE is: 0.5

Length of DE is: 1.5 units.

Learn more about the slope of parallel lines on:

https://brainly.com/question/10790818

#SPJ4

Answer:

C. Slope = 0.5, length = 1.6 units.

Hope this helps!

Step-by-step explanation:

Answer:

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

Step-by-step explanation:

multiply numerator and denominator of [tex]\frac{1}{4}[/tex] by 3

[tex]\frac{1}{4}[/tex] = [tex]\frac{3(1)}{3(4)}[/tex] = [tex]\frac{3}{12}[/tex]

the 2 fractions now have a common denominator of 12 and can be added

[tex]\frac{1}{4}[/tex] + [tex]\frac{5}{12}[/tex] = [tex]\frac{3}{12}[/tex] + [tex]\frac{5}{12}[/tex] = [tex]\frac{8}{12}[/tex] = [tex]\frac{2}{3}[/tex]

Based on your normal distribution curve, 68% of the sample pack of M&M's will have 38 orange M&M's

The amount of M&M's that will be obtained from the pack of 56 can be obtained as follow:

Amount = percentage × total

Amount of M&M's = 68% × 56

Amount of M&M's = 0.68 × 56

Amount of M&M's = 38

Learn more about composition:

https://brainly.com/question/11617445

#SPJ1

Answer:

the answer is C

Step-by-step explanation:

as you can see f(x) cut g(x) 3 time ( sorry for my bad English )

1/3 of 2 meters = 66.668 x 3 = 200.004

Answer:

No figure?

We need a figure to solve for this, please post the figure and I am ready to help!

Answer:

dude do this by your self this is to easy

Brendan's trip plans could be changed to keep him under, but near to, his original budget if he replaces Stuttgart with Kiel. Therefore, it is B.

A budget is basically a financial forecast of revenue and spending for a given period.

The substitution of Kiel for Stuttgart in Brendan's trip plans would result in him keeping under, but near to, his original budget. This will help save money.

Learn more about budget on:

https://brainly.com/question/6663636

#SPJ4

Answer:

Coordinate form:

(9,-1) (-4,12)

Step-by-step explanation:

y=3x^2-16x-100

Sub in y for the second equation

x+3x^2-16x-100=8

Continue solving

End result should look like that:

Answer:

X = 10.09

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Since the y-intercept is -3 look for the graph that has the point (0,-3)

Answer:

a and d

or

c and b

Step-by-step explanation:

supplementary angles are angles that add up to 180 degrees

when looking at the rectangle you see two possible answers

A rectangular prism is a shape that has six faces which are rectangular.

Your information is incomplete as the diagram of the rectangular prism isn't given. Therefore, an overview will be given.

It should be noted that a rectangular prism simply means a three dimensional sold shape that has six faces that are rectangles.

The formula that's used to calculate the volume of a rectangular prism will be:

= Length × Width × Height

Learn more about rectangular prism on:

https://brainly.com/question/128724

#SPJ1

Answer:

.20

Step-by-step explanation:

Answer:

A rectangle is one. If that is one of the options, this would be the correct answer.

Step-by-step explanation:

A quadrilateral can be proved to be a rectangle in several ways. Here are three simple methods: 1) Demonstrate that all angles are 90°; 2) Demonstrate that one set of sides is parallel and that two opposite angles are 90°; and 3) Demonstrate that the diagonals are bisected and equal in length.

Answer:

A rectangle is one. If that is one of the options, this would be the correct answer.

Step-by-step explanation:

A quadrilateral can be proved to be a rectangle in several ways. Here are three simple methods: 1) Demonstrate that all angles are 90°; 2) Demonstrate that one set of sides is parallel and that two opposite angles are 90°; and 3) Demonstrate that the diagonals are bisected and equal in length.

Answer:

See below ~

Step-by-step explanation:

Subpart (a) :

⇒ Surface area = 2(3 × 4 + 4 × 5 + 3 × 5)

⇒ Surface area = 2(12 + 20 + 15)

⇒ Surface area = 2(47)

⇒ Surface area = 94 in²

===============================================================

Subpart (b) :

⇒ Volume = 3 × 4 × 5

⇒ Volume = 12 × 5

⇒ Volume = 60 in³

=============================================================

Subpart (c) :

⇒ New surface area = 2 x 94

⇒ New surface area = 188 in²

=============================================================

Subpart (d) :

⇒ New : Original

⇒ 188 : 94

⇒ 2 : 1

Answer:

(-4)^5

Step-by-step explanation:

(-4)^(8 + 3)/(-4)^(4 + 2) = (-4)^11/(-4)^(6) = (-4)^(11-6) = (-4)^5

Answer:

a) 23.56 ft (2 dp)

b) 58.90 ft² (2 dp)

Step-by-step explanation:

Formula

[tex]\textsf{Arc length}=r \theta[/tex]

[tex]\textsf{Area of a sector}=\dfrac{1}{2}r^2 \theta[/tex]

[tex]\quad \textsf{(where r is the radius and}\:\theta\:{\textsf{is the angle in radians)}[/tex]

Calculation

Given:

[tex]\begin{aligned}\implies \textsf{Arc length} & =r \theta\\& = 5\left(\dfrac{3 \pi}{2}\right)\\& = \dfrac{15}{2} \pi \\& = 23.56\: \sf ft\:(2\:dp)\end{aligned}[/tex]

[tex]\begin{aligned} \implies \textsf{Area of a sector}& =\dfrac{1}{2}r^2 \theta\\\\ & = \dfrac{1}{2}(5^2) \left(\dfrac{3 \pi}{2}\right)\\\\& = \dfrac{25}{2}\left(\dfrac{3 \pi}{2}\right)\\\\ & = \dfrac{75}{4} \pi \\\\& = 58.90 \: \sf ft^2\:(2\:dp)\end{aligned}[/tex]

[tex]\textit{volume of a rectangular prism}\\\\ V=Lwh ~~ \begin{cases} L=length\\ w=width\\ h=height\\[-0.5em] \hrulefill\\ h=1.8\\ L=4.2\\ V=26.46 \end{cases}\implies \begin{array}{llll} 26.46=(4.2)w(1.8)\implies 26.46=7.56w \\\\\\ \cfrac{26.46}{7.56}=w\implies 3.5=w \end{array}[/tex]

Answer:

A 36/100

Step-by-step explanation:

the probability is going to be this because the rates in honor roll and sports are higher than the other 27 that do both.

Answer:

y = - 3x

Step-by-step explanation:

an equation involving direct proportion has the form

y = kx ← k is the constant of proportion

the only equation in this form is

y = - 3x ( with k = - 3  )

Answer:

3/5

Step-by-step explanation:

Concepts + Application + Solution

We can write the probability of this event happening like this:

For recap, a prime number is a number that's greater than 1 whose only factors are 1 and itself. Take the number 7 for example; its factors are only 7 and 1.

Given this information above, let's find the prime numbers in the spinner.

As you can see, we have 3/5 numbers that are prime, making the probability of landing on a prime number 3/5.

The domain restrictions on the rational function [tex]\frac{50}{4x - 12} + \frac{x- 4}{x^2 + x - 12} = \frac{x}{2}[/tex] are (b) x = 3 or and (d) x = -4

The function as expressed in the correct format is:

[tex]\frac{50}{4x - 12} + \frac{x- 4}{x^2 + x - 12} = \frac{x}{2}[/tex]

Factorize the denominators of the fractions

[tex]\frac{50}{4(x - 3)} + \frac{x- 4}{x^2 + 4x- 3x - 12} = \frac{x}{2}[/tex]

Factor out x and -3

[tex]\frac{50}{4(x - 3)} + \frac{x- 4}{x(x + 4)- 3(x + 4)} = \frac{x}{2}[/tex]

Factor out x + 4

[tex]\frac{50}{4(x - 3)} + \frac{x- 4}{(x- 3)(x + 4)} = \frac{x}{2}[/tex]

Set the denominators to 0

4(x - 3) = 0

(x - 3)(x + 4) = 0

Solve for x:

4(x - 3) = 0 ⇒ x = 3

(x - 3)(x + 4) = 0 ⇒ x = 3 or x = -4

This means that the domain restrictions on the rational function are (b) x = 3 or and (d) x = -4

Read more about domain restrictions at:

https://brainly.com/question/14883326

#SPJ1

Answer:

t = 3

Step-by-step explanation:

Given: 9t - (2t - 4) = 25

Distributive property: a(b + c) = ab + ac

1. Distribute '-' or '-1'

9t + -1(2t) + -1(-4) = 25

9t - 2t + 4 = 25

2. Combine like terms

7t + 4 = 25

3. Subtract 4 from both sides

7t + 4 - 4 = 25 - 4

7t = 21

4. Divide both sides by 7 to isolate the variable

7t ÷ 7 = 21 ÷ 7

t = 3

Learn more about the distributive property and equations here:

[tex]\cfrac{7x^{-\frac{3}{2}} ~~ y^{\frac{5}{2}} ~~ z^{-\frac{2}{3}}}{56 x^{-\frac{1}{2}} ~~ y^{\frac{1}{4}}}\implies \cfrac{7}{56}\cdot \cfrac{y^{\frac{5}{2}} ~~ y^{-\frac{1}{4}}}{x^{-\frac{1}{2}} ~~ x^{\frac{3}{2}} ~~ z^{\frac{2}{3}}}\implies \cfrac{1}{8}\cfrac{y^{\frac{5}{2}-\frac{1}{4}}}{x^{-\frac{1}{2}+\frac{3}{2}}~~ z^{\frac{2}{3}}}[/tex]

[tex]\cfrac{y^{\frac{9}{4}}}{8x z^{\frac{2}{3}}}\implies \cfrac{\sqrt[4]{y^9}}{8x\sqrt[3]{z^2}}\implies \cfrac{\sqrt[4]{y (y^2)^4}}{8x\sqrt[3]{z^2}}\implies \cfrac{y^2 \sqrt[4]{y}}{8x\sqrt[3]{z^2}}[/tex]

Answer:

there is the answer to your question

Answer:

B, C, and E

Step-by-step explanation:

In order for a function to be a function, an ordered pair cannot be on the same x coordinate

Answer:

y= 129

x= 39

Step-by-step explanation: