In the square pyramid shown, points and are midpoints of the edges of one face. If the figure is sliced through points and and through the base, which best describes the shape of the resulting cross section? The picture shows a triangular prism. M and N are the points on the prism. A. rectangle B. trapezoid C. quadrilateral D. parallelogram

Answers

Answer 1

Based on the given information, we have a square pyramid with points M and N being the midpoints of the edges of one face. and forms a parallelogram. Option D

Since the base of the pyramid is a square, the cross section will consist of a square shape. Additionally, since the slice is made through the midpoints of the edges of the face, the resulting cross section will have parallel sides.

Considering these characteristics, we can conclude that the shape of the resulting cross section is a parallelogram. A parallelogram is a quadrilateral with opposite sides parallel. In this case, the opposite sides of the square cross section will be parallel, as the slice passes through the midpoints of the edges.

Therefore, the correct answer is D. parallelogram.

It's important to note that a triangular prism is not the correct answer because a triangular prism is a three-dimensional figure with two triangular bases and three rectangular faces. The cross section resulting from the given slice will not have the characteristics of a triangular prism. Option D.

For more such questions on midpoints visit:

https://brainly.com/question/28667736

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Related Questions

Solve to find the height of a triangle with the base of 10 feet in the area of 21 feet

Answers

Answer: 4.2

Step-by-step explanation:

hb=2A

b=2·21

10=4.2ft

Please help me with this ASAP ASAP please

Answers

Answer:

r = 16 cm ; l = 34 cm ; LA = 544π cm^2 ; SA = 800π cm^2

Step-by-step explanation:

The volume of the cone can be find with this formula

V = (base area x height)/3

thanks to this formula we can find the base surface

base surface = (V x 3)/height

base surface = (2560π x 3)/30 = 256π cm^2

the formula of the base surface is

base surface = radius^2 x π

so we can find the radius in this way:

radius = √base surface/π

radius = √256π/π = 16 cm

slant height = [tex]\sqrt{radius^2 + height^2}[/tex]

[tex]\sqrt{16^2 + 30^2} =\sqrt{256 + 900} = \sqrt{1156} = 34[/tex] cm

lateral surface = radius x slant height x π = 16 x 34 x π = 544π cm^2

surface area = base area + lateral surface = 256π + 544π =800π cm^2

Factor 16a + 10.
(Please help)

Answers

Answer:

2(8a+5)

Step-by-step explanation:

To factor means to find a number that can divide all the terms in the expression and leave whole number quotients. The factor is written outside the bracket while the quotients are written inside the bracket. In the question, 2 can divide both 16a and 10 giving 8a and 5. This is how the answer was obtained.

16a+10
= 2(8a+5)
hope it helps

Which are undefined terms that can be used to define other terms?
O point, segment, ray
O point, line, plane
O line, plane, cube
O line, ray, angle

Answers

Answer:

Point, Line, Plane

Step-by-step explanation: They are undefined terms because its is easier to define them using examples rather than word for word

Find the area of each figure

Answers

Area of trapezoid = a + b/2 * h
a = 20, b = 9, h = 21/-16
20+9/2 * (21-16) = 29/2 * 5 = 72.5
The area of the trapezoid = 72.5 in^2

Area of the rectangle = l * w
l = 16, w = 20
16 * 20 = 320
The area of the rectangle: 320 in^2

Mr. Ledford is concerned about the amount of sleep the students in his district are getting. He selects a random sample of 14 seniors in his district and asks them how many hours of sleep they get on a typical school night. He then uses school records to determine the most recent grade-point average (GPA) for each student. His regression output along with a residual plot and a histogram of the residuals are given below.

Sleep (hrs) 9 8.5 9 7 7.56 7 5.5 6 8.5 6.5 8
GPA 3.8 3.3 3.5 3.6 3.4 3.3 3.2 3.2 3.2 3.4 3.6 3.1 3.4 3.7

Required:
Do these data provide convincing evidence of a linear relationship between the hours of sleep students typically get and their academic performance, as measured by their GPA?

Answers

Answer:

Hence, the data provides convincing evidence that a linear relationship exists between hours of sleep observed and academic performance as measured by GPA.

Step-by-step explanation:

Given the data:

Sleep (hrs) 9 8.5 9 7 7.56 7 5.5 6 8.5 6.5 8

GPA 3.8 3.3 3.5 3.6 3.4 3.3 3.2 3.2 3.2 3.4 3.6 3.1 3.4 3.7

The scatter plot shows a positive linear trend. With the correlation Coefficient depicting a R value of 0.56. The residual plot also depicts a a randomly scattered values of the residual values. Similarly, a plot of the normal values of  residuals

The data provided has a linear correlation between the hours of sleep observed and academic performance as measured by GPA.  

What is correlation?

It is defined as the relation between two variables which is a quantitative type and gives an idea about the direction of these two variables.

We have given data of the 14 seniors shown in the table.

To solve this question we will calculate the correlation coefficient 'r'

The formula for correlation coefficient :

[tex]\rm r =\frac{n\sum xy-\sum x \sum y}{\sqrt{[n\sum x^2-(\sum x)^2]}[n\sum y^2-(\sum y)^2]} }[/tex]

From the table the value of n = 14

[tex]\rm \sum x = 104.5[/tex] , [tex]\rm \sum y =47.7[/tex] , [tex]\rm \sum xy =357.8[/tex] , [tex]\rm \sum x^2 =797.25[/tex] , [tex]\rm \sum y^2 =163.09[/tex]

Put all the values in the above formula we get:

[tex]\rm r =\frac{14\times357.8-104.5 \times47.7}{\sqrt{[14\times 797.25-104.5^2][14\times163.09-47.7^2]} }[/tex]

[tex]\rm r = \frac{5009.2-4984.65}{\sqrt{(241.25)(7.97)} }[/tex]

[tex]\rm r = \frac{24.55}{43.849}[/tex]

r = 0.559 ≈ 0.56

The value of the correlation coefficient is 0.56 which is between the values 0.5 to 0.7 shows that the variables are moderately correlated.

Thus, the data provided has a linear correlation between the hours of sleep observed and academic performance as measured by GPA.  

Learn more about the correlation here:

brainly.com/question/11705632

need help ASAP plssssssssssssssssss

3,945 ÷ 45 = (?)
R (?)

Answers

87.66666.... or 87.666667 unless your rounding then it’s just 88.

Draw a square that has (-2,4) and (3,-1) as two of its vertices

Answers

Answer:

square with (-2,4) and (3,-1) vertices

Andrew wrote the number 186,425 on the board. In which number is the value of the digit 4
exactly 100 times the value of the digit in the number Andrew wrote?
A 681,452
B 462,017
C 246,412
D 124,655

Answers

Answer:

C

Step-by-step explanation:

The four is in the hundreds so times one hundred it'd be in the 10,000 so it is C.

The circumference of a circle is like the ________ of a figure.
A. shape

B. perimeter

C. area

Answers

Answer:

The answer would be 'B. perimeter'.

Helpppppppppppppppppppppppppppppppppp
Easyyy

Answers

Answer:

duuuuuuude if its easy then why do you need help huh answer me

Step-by-step explanation:

Factor x2+4x+3.
O A. (x-3)(x+1)
O B. (x-3)(x-1)
O C. (x+3)(x+1)
O D. (x+3)(x-1)
QUICKKKKKKKK!!!!

Answers

Answer:

c. (x +3)(x + 1)

Step-by-step explanation:

Factoring an equation is a way of expressing an equation as the product of other linear expressions. The following expression,

[tex]x^2 +4x +3[/tex]

Can be represented as the product of the following,

[tex](x+3)(x+1)[/tex]

To check this, one can distribute, one of the expressions over the other, then simplify, the result should be the starting expression,

[tex](x+3)(x+1)\\[/tex]

Distribute,

[tex](x)(x)+(1)(x)+(3)(x)+(3)(1)[/tex]

Simplify,

[tex]x^2 +x +3x + 3\\[/tex]

[tex]x^2 +4x +3[/tex]


What is the value of 6(x + 15) - 12 when x = 12?
provided on your answer document.

Answers

I’m certain 162, 6•12= 72, and 6•15= 90

Answer: 162

Step-by-step explanation:

6(12+15) Following the order of operations, (P.E.M.D.A.S), you should do parentheses first. So you add 12 and 15 to get 27. Were left with 6(27). So we multiply 6 and 27. The final answer is 162.

4

 27

x  6

--------

162

I don't know what to do I'm very confused ​

Answers

Answer:

x = 33.8°

Step-by-step explanation:

The resulting diagram we have is a right triangle. To find x, apply trigonometric function.

Reference angle = x

Opposite = 116

Adjacent = 173

Apply TOA:

Tan x = Opp/Adj

[tex] tan (x) = \frac{116}{173} [/tex]

[tex] x = tan^{-1}(\frac{116}{173}) [/tex]

[tex] x = tan^{-1}(\frac{116}{173}) [/tex]

x = 33.8° (nearest tenth)

Online entertainment streaming services have gained in popularity in recent years as an alternative to traditional television. One such company has seen steady growth in each period of 3 months, called a quarter, over the past 4 years. The scatterplot shows the relationship between the number of quarters passed since January 2014 and the number of members to the streaming service. A least-squares equation that summarizes this relationship is members hat = 1.829 (quarters) minus 18.108, with a value for r of 0.991.

A graph titled subscribers versus quarters since January 2011 has quarters since January 2011 on the x-axis, and subscribers on the y-axis. Points are in a line with positive slope.



A graph titled Residuals versus quarters since January 2011 has quarters since January 2011 on the x-axis, and Residual on the y-axis. The points curve down, and then curve up.

Based on the residual plot, is a linear model appropriate for summarizing this relationship?

A linear model is appropriate because the value of r is close to 1.
A linear model is appropriate because the residual plot is curved.
A linear model is not appropriate because the residual plot shows a clear pattern.
A linear model is not appropriate because the scatterplot relating time and subscribers shows a clear pattern.

Answers

Answer:

c hope it nhelps

Step-by-step explanation:it takes away time

Answer:

the person above me is correct!

Step-by-step explanation:

Jimmy has 317 of feet of chord for his science experiment. James has 3/5
feet of chord for his science experiment as well. (a) How many feet of
chord do they have altogether? (b) Who has more chord, Jimmy or
James? Help please

Answers

Answer:

(a)317 and 3/5 (b) jimmy

Step-by-step explanation:

(a) 317 and 3/5 because i plus there chord both (b) no explanation cause jimmy has mire chord than james

Answer:

A.317 3/5

B.jimmy

Step-by-step explanation:

sana Po makatulong

What is an equation of the line that passes through the points
(3,-3) and (-3,-3)?
(1) y = 3
(3) y=-3
(2) x =-3
(4) x=y

Please help asap

Answers

Answer:

(3) [tex]y=-3[/tex]

Step-by-step explanation:

The two points have the same y coordinates so the slope is zero and because both points have an y of -3 the y coordinate will always be -3.

Aling Nora bought 15 kilos of beef worth 1,845. How much is a kilo oof beef?​

Answers

Answer:

1845/15=123

Step-by-step explanation:

Step-by-step explanation:

I don't now just paiattention to the problem that willed be more like it thx

given the circumference of circle b is 85 ft . what is the arc lenght of arc ADC?and the lenght of arc Ac​

Answers

Answer:

Length of arc AC = 10.6 ft

Length of arc ADC = 73.4 ft

Step-by-step explanation:

θ = 45°

Circumference = 85 ft

✔️First, find the radius:

Circumference of a circle = 2πr

Thus:

85 = 2πr

Solve for r

Use 3.14 as π

Divide both sides by 2π

85/2π = r

85/2*3.14 = r

85/6.28 = r

r = 13.5350318 ≈ 13.5 ft (nearest tenth)

✔️Find length of arc ADC:

Length of arc = θ/360 × Circumference of the circle

θ = 360 - 45° = 315°

Circumference = 85 ft

Plug in the values

Length of arc ADC = 315/360 × 85

= 74.375 ≈ 73.4 ft (nearest tenth)

✔️Find length of arc AD:

Length of arc = θ/360 × Circumference of the circle

θ = 45°

Circumference = 85 ft

Plug in the values

Length of arc AC = 45/360 × 85

= 10.625 ≈ 10.6 ft (nearest tenth)

The trajectory of a golf ball in a chip from the rough has a parabolic pattern. The height, in feet, of the ball is given by the equation h(x)=−.15x2+3.2x, where x is the number of feet away from the golf club (along the ground) the ball is.
The ball reaches a maximum height of _______ feet at a horizontal distance of ____
feet away from the golf club it was hit with.
The ball returns to the ground at about ________ feet away.

Answers

9514 1404 393

Answer:

  maximum height of 17.07 feet about 10.67 feet from the club

  returns to the ground 21.33 feet away

Step-by-step explanation:

A graphing calculator can answer these questions easily.

The vertex of the quadratic ax²+bx+c is given by x=-b/(2a). For this quadratic function, the highest point is found at ...

  x = -(3.2)/(2(-0.15)) = 32/3 = 10 2/3 . . . . feet horizontally from the club

The maximum height is the function value at that point.

  h(10 2/3) = (-0.15(10 2/3) +3.2)(10 2/3) = 1.6(10 2/3) = 17 1/15

The ball reaches a maximum height of 17 1/15 feet at a horizontal distance of 10 2/3 feet from the club. The ball's flight is symmetrical about the peak, so it returns to the ground about 21 1/3 feet away.

Sid has £5 to buy apples and bananas.
He uses his money like this:
He buys 18 apples.
Then he buys as many bananas as possible.
With his change, he buys more apples.

How many apples and bananas does he buy?

(Apples=6p Each)
(Bananas= 40p Each)

(pls add working out)

Answers

He buys 18 apples = £1.08
He can buy 9 bananas

Answer:

Apples: 23 , bananas = 9

Step-by-step explanation:

Apples = 18 x 6 = 108p = 1,08£

5-1,08 = 3,92£

£3,92 = 392p

Bananas = 392 : 40 = 9,8= 9

40x9 = 360p = 3,60£

change = 3,92 -3,60 = 32p

apples = 32 : 6 = 5,33 = 5

total apples = 23

Select all numbers that have an absolute value of 4.

Answers

You didnt give us the numbers but it should be 4 and -4

The mean midday temperature recorded in June in a city in South California is 36ºC, and the standard deviation is 3ºC. The number of days in the month of June is 30.
Assuming the data is normally distributed, the number of days in June when the midday temperature was between 39ºC and 42ºC is .

Answers

Answer:

About 4 days

Step-by-step explanation:

Convert 39 and 42 degrees C to a z score and then use the z-table

The number of days in June when the midday temperature was between 39°C and 42°C is equal to 4.0 days.

Given the following data:

Mean midday temperature = 36°C.

Standard deviation = 3°C.

How to determine the number of days in June?

In order to determine the number of days in June when the midday temperature was between 39°C and 42°C, we would determine the z-score as follows:

Let the midday temperature be M.

P(39 < M < 42) = 1 - [P(M < 39) + P(M < 42)]

Evaluating, we have:

P(M < 39) = P(Z < [39 -36/3])

P(M < 39) = P(Z < [3/3])

P(M < 39) = P(Z < 1).

P(M < 39) = 0.84134.

P(M < 42) = P(Z < [42 -36/3])

P(M < 42) = P(Z < [6/3])

P(M < 42) = P(Z < 2)

P(M < 42) = 0.02275.

Substituting the parameters into the formula, we have;

P(39 < M < 42) = 1 - [P(M < 39) + P(M < 42)]

P(39 < M < 42) = 1 - [0.84134 + 0.02275]

P(39 < M < 42) = 1 - 0.86409

P(39 < M < 42) = 0.13591‬.

Now, we can determine the number of days in June when the midday temperature was between 39°C and 42°C:

No. of days = 0.13591 × 30

No. of days = 4.0 days.

Note: There are 30 days in the month of June.

Read more on z-scores here: https://brainly.com/question/4302527

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Solve the formula S=43.14r^2 for r.

Answers

Your would be B

Explanation:

Plzzzzzz helpppp me

Answers

Answer:

15

Step-by-step explanation:

Just substitute x in the equation

so x=3

so

3^2=9, 5x3=15, -9

equals 15

15.

start by replacing x with 3

so your equation now would look like

f(3)= (3)^2+5(3)-9

next start by doing exponents

f(3)= 9+5(3)-9

now you can do multiplication

f(3)= 9 + 15 - 9

add everything together

9 + 15 -9

your answer is 15. hope this helps

What is the image of the point (4,1) after a rotation of 270° counterclockwise about
the origin?
Will give brainliest

Answers

Answer:

1,-4

Step-by-step explanation:

formula for rotation of 270 is (x,y) to (y,-x)

PLEASE HELP ME!! My grades are bad and I need the answer before Friday. Somebody PLEASE help!!! I rlly need to get this done!!

Answers

Step-by-step explanation:

Just telling you, if your grades are bad,

you should listen to the teacher more in class time,

take notes, and more.

Btw, the equation is...

I hope this will help you.

I cannot give answers for everything.

I hope this helps!

number 10 step by step :(

Answers

Answer:X=-9
Sorry I didn’t remember what the step by step is for this one just the main answer


Please help really quick

Answers

Answer:

88 yd.²

Hope this helps!

Answer:

Area= 88 sq. yd.

Step-by-step explanation:

The formula for the area of a triangle is A= h b/2.

This means you just divide 16 (the base) by 2 to get 8, and then multiply it by 11 (the height). This gives you 88

A consumer group surveyed the prices for white cotton extra-long twin sheet sets in five different department stores and reported the average price as $16 with standard deviation $3.81. Assume that the population is normal and has a standard deviation equal to $3.81. 9. Provide a 95% confidence interval in order to estimate the average price of the white cotton extra-long twin sheets. z* is 1.96

Answers

Answer:

95% confidence interval in order to estimate the average price of the white cotton extra-long twin sheets.

(12.6604 ,19.3396)

Step-by-step explanation:

Step(i):-

Given that mean of the sample = 16

Given that the standard deviation of the sample = 3.81

The standard deviation of the Population = 3.81

Level of significance = 0.05

Step(ii):-

95% confidence interval in order to estimate the average price of the white cotton extra-long twin sheets.

[tex](x^{-} - Z_{0.05} \frac{S.D}{\sqrt{n} } , x^{-} + Z_{0.05} \frac{S.D}{\sqrt{n} } )[/tex]

([tex](16 - 1.96 (\frac{3.81)}{\sqrt{5} } , 16 +1.96 (\frac{3.81)}{\sqrt{5} })[/tex]

( 16 - 3.3396 , 16 + 3.3396)

(12.6604 ,19.3396)

Final answer:-

95% confidence interval in order to estimate the average price of the white cotton extra-long twin sheets.

(12.6604 ,19.3396)

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