What shapes can be cross sections of the rectangular pyramid?


A slice parallel to the base will take the shape of a .

A slice perpendicular to the base and through the top vertex will take the shape of a .

A slice perpendicular to the base and not through the top vertex will take the shape of a .

Answers

Answer 1

Answer:

What shapes can be cross sections of the rectangular pyramid?

A slice parallel to the base will take the shape of a

✔ rectangle

.

A slice perpendicular to the base and through the top vertex will take the shape of a

✔ triangle

.

A slice perpendicular to the base and not through the top vertex will take the shape of a

✔ trapezoid

.

Answer 2

A slice parallel to the base will take the shape of the rectangle. A slice perpendicular to the base and through the top vertex will take the shape of a "triangle".A slice perpendicular to the base and not through the top vertex will take the shape of a "trapezoid".

A slice perpendicular to the base and through the top vertex will take the shape of a .

A slice perpendicular to the base and not through the top vertex will take the shape of a .

Take a rectangle and the base. Now take four triangles such that each of them is connected to one-one side of the base rectangle and when they are taken together, they form a closed object.

That shape is called a rectangular pyramid.

A slice parallel to the base will take the shape of a "rectangle"

A slice perpendicular to the base and through the top vertex will take the shape of a "triangle".

A slice perpendicular to the base and not through the top vertex will take the shape of a "trapezoid".

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Related Questions

Jordana is putting a fence around a garden that is shaped like a half circle and a rectangle. A rectangle with length 28 feet and width 14 feet. A semicircle with diameter 14 feet is on top of the rectangle. How much fencing will Jordana need? Use StartFraction 22 over 7 EndFraction for Pi. 64 ft 86 ft 92 ft 114 ft

Answers

Answer: Jordana will need 92 feet of fencing

Step-by-step explanation:

Given: Length of rectangle = 28 feet

Width of rectangle = 14 feet

Diameter of semicircle = 14 feet

Therefore radius of semicircle : r = [tex]\dfrac{Diamater}{2} =\dfrac{AB}{2} =\dfrac{14}{2} =7 \text { feet }[/tex]

Now we have to find the perimeter of attached figure for putting fence around a garden

[tex]Perimeter = 2 Length +Width + \text {Circumference of semicircle }\\\\\Rightarrow Perimeter = 2\times AD+DC + \pi r\\\\\Rightarrow Perimeter = 2\times 28+14 +\dfrac{22}{7} \times 7 \\\\\Rightarrow Perimeter = 56+14+22 = 92 \text {feet}[/tex]

Hence, jordana will need 92 feet of fencing

Answer:

the answer is 92 (or C)

Step-by-step explanation:

I did the review

Find the critical value corresponding to a sample size of 3 and a confidence level of 95%.

7.378

0.0506

5.991

0.103

Answers

Answer:

0.103 is the correct answer give me brainliest pls

Step-by-step explanation:

Final answer:

To find the critical value for a sample size of 3 and a 95% confidence level, you use a statistical table with an alpha value of 0.05, obtaining 5.991 as the critical value.

Explanation:

The critical value corresponding to a sample size of 3 and a confidence level of 95% is 5.991.

To find this critical value, we use a standard statistical table where for a 95% confidence level, the alpha value (a) is 0.05. Look up a table of critical values for a significance level of 0.05 and a sample size of 3 to obtain 5.991 as the critical value for a two-tailed test.

What is the simplified form of the expression?

Answers

Answer:

A

Step-by-step explanation:

a. type in 2⁻³ in the calculator and you get 0.125, which is 1/8.

b. Anything to the power of 0 will equal 1. :)

Answer:

A.

Step-by-step explanation:

a.

when you have a negative exponent, the simplified value becomes a fraction:

2^-3

1/2^3

1/8

b.

any number to the power of 0 is equal to one:

(5.5)^0

1

Hope this helps :)

write the expressions
the prouduct of r and 15​

Answers

Answer:

Can you provide a screenshot? I could help you better with a visual.

Answer: i believe it is 15n

Step-by-step explanation

The cost of 5 pairs of shoes is $108.36. What is the unit rate for cost per
pair?

Answers

Answer: 21.67 and full Answer is 21.6732

Step-by-step explanation: $108.36 divide by 5!

HELP HELP HELP! Can someone pls explain this problem?

Answers

Answer:

  C.  A and E

Step-by-step explanation:

A function is increasing when any increase in x results in an increase in y. That is, the general direction is up to the right (/).

A function is decreasing when any increase in x results in a decrease in y. That is, the general direction is down to the right (\).

__

The given graph is increasing for the sections marked A and E. It is decreasing for the section marked C. It is neither increasing nor decreasing at the points B and D.

The appropriate choice for where the function is increasing is A and E.

What is the circumference of a circle with a diameter of 12 feet? (use 3.14 for pi)
36 ft.
36.26 ft.
37.68 ft.
38 ft.
PLLLLLLLZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZZ HEEEEEEEEEEEEEEELPPPPPPPPP

Answers

Answer:

37.68 ft.

Step-by-step explanation:

Answer: [tex]37.68ft[/tex]

Step-by-step explanation:

[tex]Formula: C=\pi d[/tex]

Replace

[tex]C=(3.14)(12ft)\\C=37.68ft[/tex]

What is the new equation when you distribute the 2?

2(6x+14)=40

Answers

Answer:

12x+28 = 40

Step-by-step explanation:

2(6x+14)=40

Distribute the 2

2*6x +2*14 = 40

12x+28 = 40

At a basketball game, A team made 56 successful shots. They were a combination of 1-point and 2-point shots. The team scored 95 points in all. Right and solve a system of equations to find the number of each type of shot.


QUESTION:

There were____ 2-point shorts and____ 1-point shots.

Answers

Answer:

95/3 = 31

31 ratio for 2 and 1 then make up the difference

there were 25 point and 45 ...1 point shots

but 32 x 3 makes 96 you will see the top answer is correct 25 2 points and 45 one points as we can distribute 50 and 45 easily as a fair 6/10 and 4/10 balance of 95 just like we do to find 60% of 95 or 40% of 95.

Hi Samantha heres an example for both questions see if you can try add the items and find a multiple to 95 for this question then divide by 3 and distribute like this example below which answers your other question about popcorn.

Step-by-step explanation:

462 = revenue

282 = amount sold

$1 = small

$3 = large

1. we add the amounts together = $4

2. We divide 462/4 =    460/4 = 115 so we are 2 out

3. In our workings we show 4 less +2 less = 4 x 115 = 460 +2 =462-6

456

111 = small $1

456-111 = 345 + 6 = 351 ( large $3 as we were 4+2 less we add 6 = 351

351/3 = 119 large. (we divide by price $3)

111 = small.(we keep)

To find equations

we know know on our workings we have 111 +351 we can call these s and l

s111 + l351 = s111 + l119

462 = 230

462/230 = 2sl mean price.

=====

We plug in again to find 1

462/230 + 1 = 2sl(+l)+x

1s x 1^2  x  1l^2 x x = 1     we rearrange the 1

1s x 1^2  x  3l   we replace ^2 with 1

1s  x 1 x 3l = 1

1 x 3l = 1/1s

3l = 1s

====

Now we can match s and l

3 / 1 + 4 = 460l

3 / 1 = 460/4l

3 / 1 = 120l  

1 x 120-3l

1  x 117l

117 ( 351/3) = L   you cna try rewriting this ( ) plug in in a new equation just added to show you how it works.

l = 357 = L  I wrote capitals as the l looked like a number.

When we subtract total  462- 351 = s then  s = 111

When you understand minus 6 may have made things more tricky try another number where the total 462 is rounded up by 3 to 465 or 470 an work in 30's and 10's then divide by 10 may be of some help/reflection to designing equations it helps you remember alternatives to find out distribution.

*WILL GIVE BRAINLIEST*
A typical bone is made up
of which of these three
parts?
A. Dense outer layer, spongy bone,
marrow
B. Soft outer layer, spongy bone, marrow
C. Marrow, dense inner layer, dense outer
layer
D. Dense outer layer, spongy bone,
muscle tissue
which one plz help :(

Answers

typical bone is made up of D.

Answer:

d. Dense outer layer, spongy bone,

muscle tissue

Step-by-step explanation:

it makes sense

Choose the correct rule for the sequence: 2, 4, 8, 16,... *

Answers

Answer:

x2

1 x (N x 2)

2 x (1 x 2) = 4

2 x (4 x 2) = 16

Step-by-step explanation:

Explain the steps necessary to convert a quadratic function in standard form to vertex form.
plz I need help!!!!!!!!!

Answers

Answer:

To convert a quadratic from y = ax2 + bx + c form to vertex form, y = a(x - h)2+ k, you use the process of completing the square. Let's see an example. Convert y = 2x2 - 4x + 5 into vertex form, and state the vertex. I had this question and got it right. Have a great day

Step-by-step explanation:




Answer :

Vertex form

a { ( x + b/2a )^2 - ( b/2a)^2 } + c


We are given than a quadratic function in standard form

ax^2 + bx + c


We have to explain steps which is necessary for converting quadratic x function in standard form to vertex form
We are explaining steps for converting a quadratic function into vertex form with the help of example

Suppose we have a quadratic function

2x^2 + x - 1

Taking 2 common from the given function the we get

2( x^2 + x/2 ) - 1

Now, we convert the equation of the form

2{ (x)^2 + 2 x x x1/4 + 1/16 - 1/16 } - 1
2{ ( x + 1/4)^2 - 1/16 } - 1
2{ ( x + 1/4 )^2 - (1/4)^2 } - 1

Vertex form = 2{ ( x + 1/4 )^2 - (1/4)^2 } - 1

Hence , the vertex form =

a { ( x + b/2a )^2 - ( b/2a )^2 } + c

what is the awnser to x²=4/9

Answers

Answer:

x = ±2 /3

Step-by-step explanation:

x²=4/9

Take the square root of each side

sqrt(x²)=±sqrt(4/9)

We know sqrt( a/b) = sqrt(a) / sqrt(b)

x = ±sqrt(4/ sqrt(9)

x = ±2 /3

The five longest winning streaks for NCAA Men's Division I Basketball are listed below. Which graph would best represent the data?

A a double bar graph
B a histogram
C a bar graph
D a circle graph

Answers

Answer:

Bar graph

Step-by-step explanation:


A prism has a length of 12 centimeters, height of 9 centimeters, and width of 2 centimeters.
The formula for volume of a rectangular prism is V = Bh.

The variable B stands for the .
area of the base / length/ width/ height
In this prism, B equals cm2.
2/9/12/24
The variable h stands for .
area of the base/length/height/width
In this prism, h equals cm.
2/9/12
The volume of the prism is cm3.
113/126/216/300

Answers

Volume of a Rectangular Prism:

V = lwh

Length: 12 centimeters

Height: 9 centimeters

Width: 2 centimeters

V = 12(9)2

V = 108 x 2

V = 216

V = 216cm^2

The volume of the prism is 216 cm³ with a length of 12 cm, a height of 9 cm, and a width of 2 cm. This is obtained by using the formula for the volume of a prism.

What is the formula for the volume of a prism?

The volume of a prism is

V=B × h cm³

Where B is the base area of the prism and h is the height of the prism.

Calculating the volume for the given prism:

For the given prism,

length l=12cm

width w=2cm and

height h=9cm

Calculating the base area:

Since the prism has length and width, it is a rectangular prism

Thus,

B = l × w sq.cm

Then, the volume of the prism becomes

V= l × w × h cm³

On substituting the values

V= 12 × 2 × 9

  = 216 cm³  

Therefore, the volume of the given prism is 216 cm³.

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How much would 300 invested at 5% interest compound monthly be worth after 8 years

Answers

Final balance of $447.18

The total compound interest is $147.18


The ___ formula will give us the coordinates of the points of intersection of a line and a quadratic only when the value of the discriminant,


The ___ formula will give us the coordinates of the points of intersection of a line and a quadratic only when the value of the discriminant,



formula will give us the coordinates of the points of intersection of a line and a quadratic only when the value of the discriminant,




The _____ formula will give us the coordinates of the points of intersection of a line and a quadratic only when the value of the discriminant, is positive or zero.

A. Quadratic
B. No points
C. Conjugate
D. Division




Answers

Answer:

A. Quadratic

Step-by-step explanation:

your welcome and hope this helps

Final answer:

The Quadratic formula will give us the coordinates of the points of intersection of a line and a quadratic only when the value of the discriminant is positive or zero.

Explanation:

The Quadratic formula will give us the coordinates of the points of intersection of a line and a quadratic only when the value of the discriminant is positive or zero.

The quadratic formula is:

x = (-b ± √(b² -4ac)) / 2a

Where a, b, and c are the coefficients of the quadratic equation ax² + bx + c = 0.

The quadratic formula will give us the coordinates of the points of intersection of a line and a quadratic only when the value of the discriminant is positive or zero. The quadratic formula is derived from the standard form of a quadratic equation, which is ax² + bx + c = 0. To find the points of intersection between a line and a quadratic, we would substitute the y-component (or x-component, depending on the variable used) of the line equation into the quadratic equation and solve for the remaining variable using the quadratic formula.

A bird is 58 feet off the ground and spots a worm at a 32 degree angle of depression. What is the horizontal distance from the bird to the worm?
A. 42 feet
B. 112.1 feet
C. 68 feet
D. 92.8 feet
E. None of the above

Answers

i think the answer is D but plz forgive me if i'm wrong

Find exact length of the third side

Answers

Answer:

37

Step-by-step explanation:

This is a right triangle so we can find the lengths by using the Pythagorean theorem

a^2 + b^2 = c^2  where a and b are the legs and c is the hypotenuse

12^2 + 35^2 = c^2

144 +1225 = c^2

1369 = c^2

Take the square root of each side

sqrt(1369) = sqrt(c^2)

37 =c

The officers of a high school senior class are planning to rent buses and vans for a class trip. Each bus can transport 80 students, requires 5
chaperones, and costs $1,400 to rent. Each van can transport 10 students requires 1 chaperone, and costs $100 to rent. Since there are 800 students
in the senior class that may be eligible to go on the trip, the officers must plan to accommodate at least 800 students. Since only 65 parents have
volunteered to serve as chaperones, the officers must plan to use at most 65 chaperones. How many vehicles of each type should the officers rent in
order to minimize the transportation costs? What are the minimal transportation costs?
The officers should rent
buses and
vans to minimize the transportation costs.
The minimal transportation costs are $1.

Answers

Answer:

this hard

Step-by-step explanation:

-0.2=s+(-0.8)
can someone help me? Khan academy...

Answers

s= -1 because you move the terms, add the numbers, and change the signs.








Name the values of the 4s in the number 3,441.

Answers

Answer:

the first 4's value in ''441" is 400 ( its in the hundreds place ) and the the second 4's value in ''441'' is 40 (its in the tens place)

Step-by-step explanation:

Solve the system of the following equations:
x+3y=-1
2x+2y=6
(-4,1)
(2,-1)
(4,-1)
(5,-2)

Answers

The answer is (5,-2)

Answer:

[tex](5, \: - 2)[/tex]

Step-by-step explanation:

[tex]x + 3y = - 1 \\ 2x + 2y = 6 \\ solve \: the \: equation \\ \\ x = - 1 - 3y \\ 2x + 2y = 6 \\ substitute \: the \: value \: of \: x \: into \: an \\ equation. \\ \\ 2( - 1 - 3y) + 2y = 6 \\ distribute \\ \\ - 2 - 6y + 2y = 6 \\ add \: - 6y \: to \: 2y \\ \\ - 2 - 4y = 6 \\ add \: 2 \: from \: both \: sides \\ \\ - 2y = 8 \\ divide \: both \: sides \: by \: 2 \\ \\ y = - 2 \\ substitute \: the \: value \: of \: y \: into \: an \\ equation. \\ \\ x = - 1 - 3( - 2) \\ distribute \\ \\ - 1 + 6 \\ add \: - 1 \: to \: 6 \\ \\ x = 5 \\ \\ (5, - 2)[/tex]

Joanna bought a gallon container of milk at the store. What is the volume of the container in cups?

Answers

Answer:

16 cups

Step-by-step explanation:

If Joanna bought a gallon container of milk at the store then  volume of the container in cups is 16.

What is Unit of Measurement?

A unit of measurement is a definite magnitude of a quantity, defined and adopted by convention or by law, that is used as a standard for measurement of the same kind of quantity.

Given that Joanna bought a gallon container of milk at the store.

We need to find the  volume of the container in cups

1 cup= 8 ounces

1 gallon =128 ounces

So divide 128 by 8

128/8

8 is the common divisor  for 128 and 8

So divide both numerator and denominator by 8

We get 16 cups

Hence, the volume of the container in cups is 16.

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In a data set with a normal distribution, the mean is 59 and the standard deviation is 3.

Part A

About what percent of the data lie between 53 and 62?

A. 68%

B. 83.85%

C. 81.5%

D. 50%

Part B

Complete: About 95% of the data lie between

Answers

Answer:

a) [tex]P(53<X<62)=P(\frac{53-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{62-\mu}{\sigma})=P(\frac{53-59}{3}<Z<\frac{62-59}{3})=P(-2<z<2)[/tex]

[tex]P(-2<z<2)=P(z<2)-P(z<-2)[/tex]

[tex]P(-2<z<2)=P(z<2)-P(z<-2)=0.97725-0.02275=0.9545[/tex]

b) [tex]a=59 +1.96*3=64.88[/tex]

And for the other limit we have:

[tex]a=59 -1.96*3=53.12[/tex]

And we will have 95% of the values between (53.12, 64.88)

Step-by-step explanation:

Part a

Let X the random variable of interest of a population, and for this case we know the distribution for X is given by:

[tex]X \sim N(59,3)[/tex]  

Where [tex]\mu=59[/tex] and [tex]\sigma=3[/tex]

We are interested on this probability :

[tex]P(53<X<62)[/tex]

And we can solve this using the z score:

[tex]z=\frac{x-\mu}{\sigma}[/tex]

Using the last formula we got:

[tex]P(53<X<62)=P(\frac{53-\mu}{\sigma}<\frac{X-\mu}{\sigma}<\frac{62-\mu}{\sigma})=P(\frac{53-59}{3}<Z<\frac{62-59}{3})=P(-2<z<2)[/tex]

And we can find this probability with this difference:

[tex]P(-2<z<2)=P(z<2)-P(z<-2)[/tex]

And uing the normal standard distribution or excel we got:

[tex]P(-2<z<2)=P(z<2)-P(z<-2)=0.97725-0.02275=0.9545[/tex]

Part b

For this part we want to find a value a, such that we satisfy this condition:

[tex]P(X>a)=0.025[/tex]   (a)

[tex]P(X<a)=0.975[/tex]   (b)

As we can see on the figure attached the z value that satisfy the condition with 0.95 of the area on the left and 0.05 of the area on the right it's z=1.96.

If we use condition (b) from previous we have this:

[tex]P(X<a)=P(\frac{X-\mu}{\sigma}<\frac{a-\mu}{\sigma})=0.975[/tex]  

[tex]P(z<\frac{a-\mu}{\sigma})=0.975[/tex]

But we know which value of z satisfy the previous equation so then we can do this:

[tex]z=1.96<\frac{a-59}{3}[/tex]

And if we solve for a we got

[tex]a=59 +1.96*3=64.88[/tex]

And for the other limit we have:

[tex]a=59 -1.96*3=53.12[/tex]

And we will have 95% of the values between (53.12, 64.88)

Final answer:

In a normal distribution with mean 59 and standard deviation 3, approximately 81.85% of the data lie between 53 and 62. And about 95% of the data lie between 53 and 65, which is two standard deviations from the mean.

Explanation:

In a normal distribution, about 68% of the data lie within one standard deviation of the mean, about 95% lie within two standard deviations, and about 99.7% within three standard deviations.

Part A:

The range from 53 to 62 in this case is from -2 standard deviations from the mean (56) to +1 standard deviation (62). Looking at the empirical rule, we find that about 34.13% of data fall between the mean and -1 standard deviation, and 13.59% fall between -1 and -2 standard deviations. Similarly, about 34.13% of the data fall between the mean and +1 standard deviation. Therefore, the total percentage of data lying between 53 and 62 would be

34.13% + 13.59% + 34.13% = 81.85%, so option B is the closest.

Part B:

About 95% of the data lie between two standard deviations from the mean. Therefore, you would add and subtract two times the standard deviation from the mean, which would yield 59 - 2(3) = 53 and 59 + 2(3) = 65. Thus, about 95% of the data lie between 53 and 65.

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(5 × 2) + (5 × 4) = 5 × (2 + 4)

Which picture represents this equation?

Answers

I would’ve guess it’s 10+20=10+20 since you didn’t show no pic :|

Answer:

They both equal 30, so if the question is are both equal the statement is true!

Note: I would appreciate if you give me 5 stars, a thanks, and brainiest :)

Please help me out! I have spent over 127 points on these circumference questions so far... :(


Anyone who is good at math, please go to my profile and answer my math questions! A lot of them are not/only halfway answered.

Answers

Answer:

The circumference of the green circle is about 138.23 meters.  

The circumference of the blue circle is about 69.115 meters.    

Step-by-step explanation:

Considering 22 m as the green circle radius and 11 m as the blue circle radius:

The circumference of the green circle is about:  

[tex]C=2\pi r[/tex]

[tex]C=2\pi 22\\C=44\pi \\C=138.23 m[/tex]

The circumference of the blue circle is about:  

[tex]C=2\pi r[/tex]

[tex]C=2\pi 11\\C=22\pi \\C=69.115 m[/tex]

help meeee!!!!!! i suck at math

Answers

Answer:

Its easy

Step-by-step explanation:

Just think and ask teachers for help math is easy if your good at anything else in school , then math should be easy it have to do with all that.

What is the solution set of 6x2-24=0

Answers

Answer:

x=2

Step-by-step explanation:

Answer:

Step-by-step explanation:

20 points
3. Gas costs $2 per gallon Which graphs represents the relationship
between gallons (x) and cost (y)? *​

Answers

The answer would be D.

The equation that shows the cost of x gallons of gas is given as y = 2x

What is an equation?

An equation is an expression that shows the relationship between two or more numbers and variables.

Let y represent the cost of x gallons of gas. Gas costs $2 per gallon, hence:

y = 2x

The equation that shows the cost of x gallons of gas is given as y = 2x

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