The bottom part of this block is a rectangular prism. The top part is a square pyramid. You want to cover the block entirely with paper. How much paper do you need?

The Bottom Part Of This Block Is A Rectangular Prism. The Top Part Is A Square Pyramid. You Want To Cover

Answers

Answer 1

Answer:

Total paper required = 165 cm²

Step-by-step explanation:

Paper required to cover the entire block = (Surface area of the prism at the base - area of the top of the prism) + Lateral surface area of the pyramid

Surface area of the rectangular prism = 2(lb + bh + hl)

(here l, b, h are the length, width and height respectively)

                                                               = 2(5×5 + 5×4 + 4×5)

                                                               = 2(25 + 20 + 20)

                                                               = 2×65

                                                               = 130 cm²

Area of the top of the prism = (side)²

                                              = 5²

                                              = 25 cm²

Lateral area of the square pyramid = 4 × Area of one lateral side

                                                          = 4 × [tex][\frac{1}{2}(\text{Base})(\text{Height})][/tex]

                                                          = 4 × [tex][\frac{1}{2}(5)(6)][/tex]

                                                          = 60 cm²

Total paper required = (130 - 25) + 60

                                   = 105 + 60

                                   = 165 cm²


Related Questions

Please answer correctly !!!!! Will mark brainliest !!!!!!!

Answers

Answer: (1 + x) (1 - x)

Step-by-step explanation:

Since both terms are perfect squares, factor using the difference of squares formula a^2 + b^2 = (a+b)(a-b) where a = 1 and b = x (1 + x) (1 - x)

What is the difference between the highest and lowest points in a data set?
the mean
the median
the mode
the range

Answers

Answer:

range

Step-by-step explanation:

difference between the highest and lowest points in a data set = range

The mean is the average of all the points

The median is the middle of  all the points

The mode is the point the appears the most often

"Hey diddle diddle the medians the middle you add and divide for the mean the mode is the one that you see the most and the range is the difference between"

Online song that's helped me remember the difference between median, mode, mean and range for years!

2 - Integrated Math 1 - 2019
euseneck in
Space is a way of joining together points, lines, and
A. more space
B. planes
C. symbols
D. thickness
Please select the best answer from the choices provided
СА
B
С
D

Answers

The answer is B: planes
More space A is the correct answer

Select the values that correctly complete the problem. a = b = c = d = e =

Answers

Answer:

a=2, b=4, c=3

d=2, e=3

Step-by-step explanation:

[tex]\frac{1}{2} :\frac{3}{4} = \frac{1}{2} *\frac{4}{3} =\frac{1}{a} *\frac{b}{c} \\\\\frac{1}{2} *\frac{4}{3} =\frac{2}{3} =\frac{d}{e}[/tex]

a=2, b=4, c=3

d=2, e=3

Answer: a=2, b=4, c=3

d=2, e=3

Step-by-step explanation:

A display case has room for 10 statues. Find the number of ways you can line up the statues if you have 5 statues

Answers

(Just and Example so it'll kinda explain it.)

Example A

How many ways can 5 students sit in a row?

Solution: If we consider the students sitting in one of five seats, then we have 5 students to choose from for the first seat, four remaining to choose from for the second seat and so on until all the seats are filled.

5–×4–×3–×2–×1–=120 So there are 120 ways to seat the students.

More Guidance

The way we just wrote out 5–×4–×3–×2–×1– can also be expressed as a factorial. A factorial is the product of a number with each number less than itself. We use the notation, 5!, which is read as “five factorial” to represent the expression 5–×4–×3–×2–×1–. It is important to note that 0!=1!=1. Students are often perplexed that both zero and one factorial are equal to one but think back to the context for illustration. If you want to arrange zero items, how many ways can you do it? If you want to arrange one item, how many ways can you do it? There is only one way to “arrange” zero or one item.

To evaluate a factorial on the TI-83 or 84 graphing calculator, type in the number, then press MATH→NUM, 4!. Press ENTER to evaluate.

What is the equation of the line with a slope of –3 and a y-intercept of 4?

Answers

Answer:

y=-3x+4

y=mx+b

m is the slope

b is the yint

Answer:

y= -3x+4

Step-by-step explanation:

please help will mark brainliest

Answers

Answer:

20 ft² - 4ft² = 16 ft²

Step-by-step explanation:

First we solve for the whole rectangle:

Formula:  A = ab

side length a = 5 in

side length b = 4 in

diagonal p = q = 6.4031242374328 in

perimeter P = 18 in

area A = 20 in²

Second we deduct the Area of the cutout of the Square

side length a = 2 ft

Area = a² = 4 ft²

Simplify the expression below.
x4 • x4 • x4

Answers

Answer:

Step-by-step explanation:

Answer is x^12

first law of indices

Answer:

x4^3

Step-by-step explanation:

the answer would be cubed so x4 cubed

what is the inequality shown ​

Answers

Answer:

-1

Step-by-step explanation:

Because the nembers before 0 are negitave and the ones after it are positive the equation to find the answer is (-3)(+2) and if you don't know how you add the two like: -3 +2

- negative

+ positive (which also goes for adding 2)

The inequality is shown in that number line 3 ≥ x > 2

What is Number Line?

In math, a number line can be defined as a straight line with numbers arranged at equal segments or intervals throughout. A number line is typically shown horizontally and can be extended indefinitely in any direction.

In order to express inequalities on a number line, we mark a straight line and indicate the endpoints with either an open circle or a closed circle.

An open circle indicates that it does not include the value.

A closed circle indicates that the value is included.

These numbers solution set consists of all real numbers between -3 and 2.

Since 2 has an open circle, it excludes '2,' but it does include everything higher, up to and including -3, which has a closed circle.

Thus, we can represent this using the inequality 3 ≥ x > 2.

Learn more about the number line here:

brainly.com/question/17617832

#SPJ2

answer question please

Answers

Answer:

a) 4.18330013267

b) 7.65643191324

Step-by-step explanation:

Use the calculator to find out the values.

√17.5

=4.18330013267

2.3²+√5.6

5.29+2.36643191324

=7.65643191324

Answer:

a 4.1833

b 7.656

hope its helpful

The angles of a quadrilateral are in the ratio 2: 3: 5: 8. Find the measure of each angles.

Answers

Answer:

see below

Step-by-step explanation:

Let's call the angles 2x, 3x, 5x and 8x and since the sum of angles in a quadrilateral is 360 degrees we can write:

2x + 3x + 5x + 8x = 360

18x = 360

x = 20 which means the angle measures are 40°, 60°, 100° and 160°

Answer:

40°,60°,100° and 160°

Step-by-step explanation:

First add all the ratio's together

2 + 3 + 5 + 8 = 5 + 13 = 18

Now we utilise the fact that angles in quadrilaterals add up to 360. We form an equation like this 18x = 360 to find the value of x and then substitute back into the ratio's

18x = 360

→ Divide both sides by 18 to isolate x

x = 20

Multiply 20 by each of the ratio's to find the angles of this quadrilateral

2 × 20 = 40

3 × 20 = 60

5 × 20 = 100

8 × 20 = 160

So the angles of a quadrilateral with the ratio of 2: 3 : 5 : 8 is 40,60,100 and 160

An architect is making a plan for a new circular playground. If the picture below is the playground, how much fencing needs to go up to keep the kids in the circle? ⬇⬇⬇

Answers

Answer:

Length of the fencing required = 201.06 meters

Step-by-step explanation:

Architect is planning a circular playground with diameter = 64 m

We have to calculate the fencing required to cover this playground.

Length of fencing = circumference of the playground

Since circumference of a circle = π × (Diameter)

                                                    = 64π

                                                    = 201.06 meters

Therefore, length of fencing required to keep the kids in a circle will be 201.06 meters.

What is the slope-intercept form of the equation of the line that passes through the point (-6, 1) and is perpendicular to the
graph of 2x + 3y = -5?
Oy=-3/2x-8
Oy=-3/2x+1
O y=3/2x+1
O y = 3/2x + 10

Answers

Answer:it’s C

Step-by-step explanation:

which number is an interger

Answers

Answer:

Any number that is a whole number not a fraction or decimal

Step-by-step explanation:


Rectangle 1 and Rectangle 2 are similar. Rectangle 2 is three times as long as Rectangle 1. If Rectangle 2 is 18 inches wide, how wide is Rectangle 1?

3 inches
6 inches
9 inches
54 inches

Answers

Answer: 6 inches

Step-by-step explanation:

If rectangle 2 is 3 times as long as rectangle 1, then all we hae to do is divide the width by 3 (The width is 18)

18 ÷ 3 = 6

Answer:

6 trust me i had this on my assignment...

Step-by-step explanation:

Allie need 4 2/3 yards of lace to finish sewing the edges of a blanket. she only has 3/4 of that amount. how much lace does alice have?

Answers

3 1/2 yards

Step-by-step explanation:

She needs 4 2/3 or 14/3 yards

She has 3/4 of that. / of is a sign of multiplication

3/4 of 14/3

3/4 * 14/3

42/12. Simplify

14 / 4. So she has 14/4 or 3 1/2 yards

Band rues charges $950 to play all night.
DJ phoria charges $350 plus $5 for each ticket sold.

Write a linear equation for the cost of the DJ where y = the total cost and x = the number of tickets sold. The equation for the Band is y = 950.
Graph each equation on the same coordinate plane and find the number of tickets for which the cost of the band and the DJ would be equal. Make sure to name and number the axes of your graph. Also, solve the system of equations analytically, showing all work.

Answers

Answer:

120 Tickets

Step-by-step explanation:

Band rues charges $950 to play all night.

Total Cost, y=$950

DJ phoria charges $350 plus $5 for each ticket sold.

Total Cost, y=$(350+5x), x = the number of tickets sold.

(a)The graph is attached.

From the point of intersection of the two lines, the number of tickets for which the cost of the band and the DJ would be equal is 120 tickets.

(b)

Given the two linear equations

y=950

y=350+5x

Therefore:

950=350+5x

950-350=5x

5x=600

x=120

Therefore, the number of tickets at which the cost of the band and the DJ would be equal is 120, just as obtained above.

What is the sum of the interior angles of a polygon that has 9 sides?

Answers

Answer:

1260 degrees

Step-by-step explanation:

The total length of a beach is 13.2 kilometers. If lifeguards are stationed every 0.06 kilometers, including one at the end of the beach, how many lifeguards will there be on the beach?

Answers

Answer:

220 lifeguards

Step-by-step explanation:

We have to divide the length of the beach by the interval of the stationed lifeguards.

13.2 / 0.06 = 220 lifeguards

There are 220 lifeguards.

Please help. Thank you!

Answers

Answer:

25 sin 42 =x

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opposite/ hypotenuse

sin 42 = x / 25

Multiply each side by 25

25 sin 42 = x/25 *25

25 sin 42 =x

Answer:

A

Step-by-step explanation:

WILL GIVE BRAINLIEST! Alice, Bob, and Carrie can all choose a number from 1 to 10 (inclusive).


(a) Find the number of ways they can choose their numbers if all three numbers are different.


(b) Find the number of ways they can choose their numbers if they have to choose exactly two different numbers among all three people. (For example, Alice and Bob both pick 1, and Carrie picks 2.)

Answers

Answer:

(a) 720

(b) 180

Step-by-step explanation:

We are given 10 numbers (1,2,3,4,.....,10).

(a) 3 unique numbers are to be chosen by Alice, Bob and Carrie.

Number of ways to choose the 1st number = 10

Number of ways to choose the 2nd number = 9 (1 number chosen earlier can't be chosen again)

Number of ways to choose the 3rd number = 8 (2 numbers chosen earlier can't be chosen again)

Total number of ways of choosing 3 unique numbers = [tex]10 \times 9 \times 8 \Rightarrow 720[/tex]

(b)

Number of ways of choosing 1st number = 10 (no restrictions)

Number of ways of choosing 2nd number = 9 (1 number chosen earlier can't be chosen again)

Now, restriction on the 3rd number to be chosen is that one of the two already chosen number should be chosen again.

So, number of ways to choose 3rd number = 2

the number of ways they can choose their numbers if they have to choose exactly two different numbers among all three people =

[tex]10 \times 9 \times 2 \Rightarrow 180[/tex]

Hence, the answers are:

(a) 720

(b) 180

24 is 15% of what number

Answers

Answer:

160

Step-by-step explanation:

Is means equals and of means multiply

24 = 15% * N  where N is the unknown number

Change to decimal form

24 = .15 N

Divide each side by .15

24/.15 = .15N/.15

160 = N

Answer:

160 because 15% of 160 is 24 meaning 24 is 15% of 160

Step-by-step explanation:

If the mean of the data set is 353535 apples, find the number of apples on the Granny Smith tree.

Answers

Answer:

141414

Step-by-step explanation:

Find the area of the figure. If you need to use Pi in your computation, approximate its value as 3.14.
Rectangle topped by a semicircle

a.
130.24 sq. in.
b.
105.12 sq. in.
c.
83.14 sq. in.
d.
180.48 sq. in.

Answers

Answer:

b.  105.12 in²

Step-by-step explanation:

A= 1/2 πr² +ab

a= 8 inb= 10 inr=8/2= 4 inA= 1/2*3.14*4² + 8*10= 105.12 in²

Please help me Solve -x/3 >5

Answers

Answer:

I think its D. im not sure.

What is the length of CD? In this diagram,
ABC ~ EDC.

Answers

Hey there!

Answer:

CD = 3.

Step-by-step explanation:

Since the triangles are similar, we can set up a ratio to determine the other side-lengths:

[tex]\frac{12-x}{18} =\frac{x}{6}[/tex]

Cross multiply:

[tex]6(12-x) = 18x[/tex]

Distribute the '6':

[tex]72-6x = 18x[/tex]

Combine like terms and simplify:

[tex]72 = 24x[/tex]

[tex]x = 3[/tex]

Therefore, the length of CD is 3.

(0,0) is the coordinates of

Answers

Step-by-step explanation:

it's called the origin.

hope this helps :))

A printer takes 30 minutes to print a banner and a poster. I will take 50 minutes to print a banner and three posters. How long does it take to print a banner?

Answers

Answer:

It takes the printer 20 minutes to print a banner

Step-by-step explanation:

Notice that there are two unknowns in this problem: the time to print a poster and the time to print a banner. Let's assign the letter "b" to the time it takes to print a banner, and "p' the time it takes to print a poster.

So we can write the following two equations involving the total amount of time that takes to print in the two cases:

[tex]b+p=30\\b+3p=50[/tex]

We can solve for the unknown "p" by subtracting term by term in the equation set above:

[tex]b+3p=50\\b+p=30\\\\b-b+3p-p=50-30\\2p=20\\p=10[/tex]

So it takes 10 minutes to print each poster, we can find the time it takes to print the banner by using the value we just found in one of the equations:

[tex]b+p=30\\b+10=30\\b=20[/tex]

So, it takes 20 minutes to print a banner.

write the expression (a+4) /7 in words

Answers

Answer:

It would be

a plus 4 divided by 7

Step-by-step explanation:

Answer:

"the sum of a and 4 divided by 7"

Step-by-step explanation:

This is "the sum of a and 4 divided by 7."

If you borrow $5.93 for nine years at an interest rate of 6%, how much interest will you pay?

Answers

The answer is $3.20
By using the simple interest formula
Simple interest = principal x rate x time (years) all divided by 100
i believe the answer is 3.20
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