The composite solid was formed by joining a square pyramid and a rectangular prism. What is the surface area of the composite solid? A rectangular prism with a length of 10 feet, width of 10 feet, and height of 6 feet. A square pyramid with triangular sides with a height of 7 feet.

Answers

Answer 1

Answer:

The surface area of the composite solid = 480 square feet

Step-by-step explanation: Given that the rectangular prism is of length of 10 feet, width of 10 feet, and height of 6 feet.

A square pyramid with triangular sides with a height of 7 feet.

The base of the pyramid = width of the rectangular prism.

Pyramid base = 10 feet

A pyramid has 4 triangular faces

Area of a triangle = 1/2bh

Area = 1/2 × 10 ×7 = 35 square feet

Total surface area = 35 × 4 = 140

Rectangular prism has 6 faces

But we will be calculating for 5 faces

Total surface area = 2(10×6) + 2(10×6) + (10×10)

= 120 + 120 + 100

= 340

The surface area of the composite solid = pyramid surface + rectangular prism surface

= 140 + 340

= 480 square feet


Related Questions

Can you please help me I will give you brainliest

Answers

Answer:

b, sinks

c, more dense

e, holds less water vapor

Step-by-step explanation:

hope this helps!!

Answer:

i need branliest

sinks

is more dense than warm air

holds less water vapor than warm air

Step-by-step explanation:

cold air is more dense so it is heavier so it sinks

water vapor is lighter than air, so cold has less of it

The following data set shows the number of children in each household in Cam's neighborhood. 0, 0, 2, 1, 2, 8, 3, 0, 0 What is the most frequent number of children in a household in Cam's neighborhood?

Answers

Answer:

Wouldn't it be 0 because its the most frequent number there

Step-by-step explanation:

Answer:

0

Step-by-step explanation:

there are four 0's but the other's do not have that many.

Some help please?


Which polynomial does this sum of tiles represent?

Answers

Answer:

B

Step-by-step explanation:

Simplify the equations into standard form

(2x^2+x+3) + (x^2+3x+2)

Then add

3x^2+4x+5

Answer: B



You just count how many of each there are. There are 3 x^2s 4xs and 5 ones.

Three angles of a triangle are cut off and lined up on the
line below.
Which statements describe the relationship of the
angles in the triangle? Check all that apply.
The sum of the three angles is 90°.
The sum of the angles in the triangle is 180°.
The three angles are adjacent and form a straight
angle.
The third angle is 45°.
There is a pair of congruent angles.

Answers

Answer:

The sum of the angles in the triangle is 180°.

The three angles are adjacent and form a straight

The third angle is 45°.

There is a pair of congruent angles.

Step-by-step explanation:

The diagram is missing but we can dwell on the limited information to answer.

We know angles in a triangle add up to 180°.

Therefore when we cut all these angles and arranged them on a straight line, their sum should be 180°.

Since the three angles are on a straight line they are adjacent.

Since the diagram is missing, these are the truth statement we have for now.

Answer:

The sum of the angles in the triangle is 180°.

The three angles are adjacent and form a straight angle.

The third angle is 45°.

There is a pair of congruent angles.

Step-by-step explanation:

Sorry is late I just took the assignment

Help with any please !! And explain

Answers

Answer:

number 7 is D i believe

Step-by-step explanation:

7. D 8. D 9. (3,6) 10. (5,5) and (3,8).

A three-toed sloth has a top speed of 0.22 feet per second. A giant tortoise has a top speed of 2.992 inches per second. Convert both speeds to miles per hour, and determine which animal is faster.

Answers

If you convert the sloth it is
0.15 miles per hour
If you convert the giant tortoise it is
0.17 miles per hour
You can then compare the two and realize the giant tortoise is 0.02 miles per hour faster than the sloth

Pls need help ASAP! (easy geometry)

Answers

Answer:

plz give branliest

A

C

E

Are correct

Step-by-step explanation:

so if they are diagonals,

The graph of y=x3 is transformed as shown in the graph below. Which equation represents the transformed function

Answers

Answer:

y= -6x^3

Step-by-step explanation:

Look at the points on the graph and plug into the equations

when x = -1, y must equal 6

(-1)^3 = -1

(-1) x (-6) = 6

y= -6x^3, equation represents the transformed function.

What is equation?

An equation is a  mathematical statement that is made up of two expressions connected by an equal sign.

Here, we have,

Look at the points on the graph and plug into the equations

when x = -1, y must equal 6

(-1)^3 = -1

(-1) x (-6) = 6

Hence, y= -6x^3, equation represents the transformed function.

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Find the area(ignore the line if you want)

Answers

Given:

Image of the figure

To find:

The area of the figure.

Solution:

The image is splitted into two shapes.

One is rectangle and the other is trapezium.

Reference image for answer is attached below.

Rectangle:

Length = 10 cm

Width = 2.8 cm

Area = length × width

        = 10 × 2.8

Area = 28 cm²

Trapezium:

Top base = 6 cm

Bottom base = 10 cm

Height = 7.2 - 2.8 = 4.4 cm

Area = [tex]\frac{1}{2} \times\left(b_{1}+b_{2}\right) \times h[/tex]

        [tex]$=\frac{1}{2} \times(6+10) \times 4.4[/tex]

        [tex]$=\frac{1}{2} \times 16 \times 4.4[/tex]

Area = 35.2 cm²

Area of the figure = 28 cm² + 35.2 cm²

                             = 63.2 cm²

The area of the figure is 63.2 cm².

Neep help ASAP!!! PLEASE HELP!!

Answers

Answer:

Cardinals, Bulldogs, then Tornado

Step-by-step explanation:

What is the slope of (-4,-2) and (-3,5)

Answers

Answer:

m=7

Step-by-step explanation:

m=5-(-2)/-3-(-4)

m=7/1

m=7

Answer:

The slope of the two points would be 7

Step-by-step explanation:

You are preparing small and large cupcakes for the school bake sale. If you will need 1/3 a spoon of sugar for each small cupcake, and 1/2 a spoon of sugar for the large cupcake.if you need to make 30 small cupcakes and 20 large cupcakes, and you have a total of 21 spoons of sugar. Is this enough to make your cupcakes?

Answers

Answer:

yes

Step-by-step explanation:

1/3x30 is 10 which would be 10 spoons

1/2x20 is also 10 which would be another 10 spoons

10+10 equals 20

you have 21 spoons which means that you will have enough spoons of sugar to make all 50 cupcakes

Answer:

Yes as the small cupcakes would need 10 spoons (=1/3 of 30) where the large cupcakes would need 10 spoons of sugar (=1/2 of 20).

Step-by-step explanation:

30 x 1/3 = 10

30 x 1/2 = 10

10+10 =20

= 20 spoons of sugar makes 10 of each size cupcakes, so 21 spoons mentioned in the question would be enough.

Anyone knows celsius

Answers

so the answer is of option B

The length of a rectangle is 8 cm greater than its width. Find the dimensions of the rectangle if its area is 105 square centimeters. (a) Write a polynomial equation that can be solved. (b) Solve the equation by factoring (input equation with binomials in this step). (c) State solution with units *

Answers

Answer:

105 = (w+8) *w

w = 7 cm

l = 15 cm

Step-by-step explanation:

Area of a rectangle is

A = l*w

l = w+8

105 = (w+8) *w

Distribute

105 = w^2 +8w

Subtract 105 from each side

105-105 = w^2 +8w -105

0 =w^2 +8w -105

Factor

What 2 number multiply to 105 and add to 8

15*-7 = -105

15-7 = 8

(w+15) (w-7) =0

Using the zero product property

w+15 =0               w-7 =0

w=-15                      w=7

impossible

not negative

w =7

l = 15

Answer:

Width: w

Length: w + 8

w(w + 8) = 105

w² + 8w - 105 = 0

w² + 15w - 7w - 105 = 0

w(w + 15) - 7(w + 15) = 0

(w + 15)(w - 7) = 0

w = -15, 7

width = 7cm

length = 7+8 = 15cm

A pyramid is? Help! Please

Answers

Answer:

I think it's the  third one

Step-by-step explanation:

Answer:

It is C

Step-by-step explanation:

Help me I need the steps

Answers

It's a quadratic with a positive x² coefficient, so a CUP, with a minimum

f(x) = 2x² -12 x + 13

= 2(x² - 6x) + 13

= 2(x - 3)² - 2(9) + 13

f(x) = 2(x - 3)² - 5

Since x-3 is always zero or positive the least value is

f(3) = -5

Answer: -5

Nate ate x ounces of blackberries. Emily ate ⅓ more than that. Write an equation to represent how much Emily ate (y) compared to Nate (x).

Answers

Answer: y = x + 1/3

Step-by-step explanation:

Hi, to answer this question we have to write equations with the information given:

The amount of blackberries that each one ate:

Nate (x)= x ounces

Emily ate ⅓ more than that. So, we have to sum the amount eaten by Nate(x) and 1/3.

Mathematically speaking:

Emily (y) = Nate + 1/3  

y = x + 1/3

Feel free to ask for more if needed or if you did not understand something.

Find the similarity ratio and the ratio of perimeters for two regular octagons with areas of 18 in2 and50 in2

Answers

Answer:

3:5 (or 3/5)

Step-by-step explanation:

The ratio of area is equal to (ratio of perimeters)^2

That means...

(18:50) = (a:b)^2

This simplifies to:

(9:25) = (a:b)^2

Which means...

3:5 = a:b

Define negative integer. Give an example of a negative
integer and then give its opposite.

Answers

Negative integers are numbers that are less than 0.
Example would be -2 and it’s opposite would be 2

Answer:

integers that are less than 0

-4 and 4

Step-by-step explanation:

What is the distance between the points (−3, 5) and (−3, −9)?

Answers

Answer: The distance between (−3, 5) and (−3, −9) is 14 units.

Step-by-step explanation:

Answer:

14

Step-by-step explanation:

Just add the the numbers from the Y-AXIS and, add them together the numbers from the Y-AXIS are  9 and 5.

9+5=14

What is the range of y=log2(x-6)

Answers

Answer:

All Real Numbers

Step-by-step explanation:

edg answer D

This is the correct answer.

Answer:

All Real Numbers

Step-by-step explanation:

1. 4x² – 25
What is the answer to the equation

Answers

Answer:

-23.04 i think

Step-by-step explanation:

Jim and sue both take a driving test. the probability that Jim will pass the driving test is 0.7. The probability that Sue will pass the driving test is 0.6.
a) work out the probability that both Jim and Sue will pass the driving test.
b) work out the probability that only one of them will pass the driving test.

please help

Answers

Answer:

the above images shows the answer to the question

Final answer:

The probability that both Jim and Sue will pass the driving test is 0.42. The probability that only one of them (either Jim or Sue) will pass the driving test is 0.46.

Explanation:

This question falls under probability in Mathematics. To solve for these probabilities, we multiply the individual probabilities together.

a) The probability that both Jim and Sue will pass the driving test is found by multiplying the two probabilities together: 0.7 (Jim's probability) * 0.6 (Sue's probability) = 0.42. So, the probability that both will pass is 0.42.

b) The probability that only one of them will pass the driving test is found by adding the probability of the two independent events: Jim passes and Sue fails, or Sue passes and Jim fails. Jim passing and Sue failing would be 0.7 * (1 - 0.6) = 0.28. Sue passing and Jim failing would be 0.6 * (1 - 0.7) = 0.18. Adding these together, the probability that only one of them will pass is 0.28 + 0.18 = 0.46.

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What is the mAngle3?


mAngle3 =

°

Answers

An exterior angle is the sum of the two opposite inside angles:

Angle 3 = 50 + 55 = 105 degrees.

Answer:105

Step-by-step explanation:

EDGE 2020 Its correct

Do you go for a run on Monday. You run 1. 23 km. On Tuesday you run the same distance. how far did you run all together?

Answers

add it together and find the answer

Answer:

Step-by-step explanation:

I'm not sure if this is right, but if your run the same amount I would multiply 1.23×2 which then equals 2.46.


The two isosceles triangles are similar.

Answers

Answer:79

Step-by-step explanation:

Since a triangle has a total of 180 degrees in the interior, you can subtract 22 from 180 to get 158.Because the triangle is isosceles, the 2 remaining angles have the same measure. All you need to do now is to divide 158 by 2.

You get 59.

Consider the figure below. What is the perimeter of the figure?

Answers

Answer:

Not an answer but this is the figure to anyone who's nice enough to help :)

Step-by-step explanation:

A restaurant offers 10 appetizers and 12 main courses. In how many ways can a person order a​ two-course meal? Use the Fundamental Counting Principle with two groups of items.

Answers

Answer:

80 ways

Step-by-step explanation:

The first thing is to apply the Fundamental Counting Principle with two groups of items, in this case the multiplication rule is used.

In this case, what we should do is that, for every 1 main course there are 8 appetizers, but there are 10 main courses therefore:

8 * 10 = 80

There are 80 ways to combine appetizers and the main course

Final answer:

A person can order from a restaurant 120 different two-course meals using the Fundamental Counting Principle, as there are 10 appetizers and 12 main courses to choose from.

Explanation:

The question is asking how many different two-course meals can be ordered if a restaurant offers 10 appetizers and 12 main courses. According to the Fundamental Counting Principle, if there are separate events and the first event can occur in 'm' ways and the second in 'n' ways, then the events together can occur in a total of m x n ways.

Using this principle:

Number of ways to select an appetizer = 10

Number of ways to select a main course = 12

Therefore, the total number of two-course meal combinations = 10 appetizers x 12 main courses = 120 combinations

So, a person can order 120 different two-course meals from this restaurant.

Fred lives on the 16th floor.
The elevator goes up one floor for each 10 seconds.
It stops at the fifth floor for 1 minute for people to get out.
How long does it take for Fred to get to the 16th floor?
Explain how you figure this out.

Answers

Answer:

16 x 10

160 seconds - 2 min 40 sec

2 min 40 sec + 1 min

3 min 40 sec

Step-by-step explanation:

It takes 3:40. By the time it is at the fifth floor it has already taken 1:50 seconds including the minute wait. At the 6th floor it is at 2 minutes. When it is at the twelfth floor it has been 3 minutes. And when it gets to the 16th floor it has been 3 minutes and 40 seconds (3:40)

Find the volume of a right circular cone that has a height of 15.8 in and a base with a
diameter of 12.7 in. Round your answer to the nearest tenth of a cubic inch.

Answers

I think the answer is 667.2

The right circular cone will have a volume of 667.4 cubic inches.

What is volume?

A volume is simply defined as the amount of space occupied by any three-dimensional solid. These solids can be a cube, a cuboid, a cone, a cylinder or a sphere. Volume of a solid is measured in cubic units.

As per the given data:

height of the cone ([tex]h[/tex]) = 15.8 inch

diameter of the base ([tex]d[/tex]) = 12.7 inch

volume of a right circular cone = [tex]\frac13\pi r^2h[/tex]

Where radius ([tex]r[/tex]) = [tex]\frac{d}{2}[/tex] = [tex]\frac{12.7}{2}[/tex] = [tex]6.35[/tex]

volume =  [tex]\frac13\times\pi\times (6.35)^2\times15.8[/tex]

=  [tex]\frac13\times\frac{22}{7}\times (6.35)^2\times15.8[/tex]

= 667.4 cubic inches

The volume of the right circular cone will be 667.4 cubic inches.

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