Colton has a stone paperweight composed of a triangular pyramid on top of a triangular

prism with the dimensions shown below. Use the drop-down menus to explain how to

determine the volume of the paperweight.

Answers

Answer 1

Answer:

1/2 * 5 * 5

4

1/3, 7

79 in³

Step-by-step explanation:

The area of the base : base is shaped like a triangle ;

Area of triangle = 1/2 base * height :

Base and height = 5

Area of base = 1/2 * 5 * 5 = 12.5 in²

Volume of triangular prism = Area of base * height

Volume of triangular prism = 12.5 * 4 = 50 in³

For the triangular pyramid :

Area of base * height of pyramid *1/3

12.5 * 7 * (1/3) = 29.17

The volume of the paperweight :

Volume of triangular pyramid + volume of triangular prism

29.17 + 50

79.17 = 79 in³

Colton Has A Stone Paperweight Composed Of A Triangular Pyramid On Top Of A Triangularprism With The

Related Questions

the graph of the function y=x^(2) is reflected across the x-axis, then translated two units left and six units down, write and equation to represent the new functoin

Answers

Answer: -4,-2

Step-by-step explanation: Since it is reflected across the x- axis, translated two units left and six units down it would be -4, -2 because 2-6= -4

Which best describes the function represented by the data in the table? linear with a common ratio of 2 linear with a common first difference of 2 quadratic with a common ratio of 2 quadratic with a common first difference of 2

Answers

Answer:

linear with a common first difference of 2

Step-by-step explanation:

If this is linear, the common first difference, or slope, will be the same throughout the entire table.

The formula for slope is

For the first set of points, we have:

m=(0--2)/(-2--3) = (0+2)/(-2+3) = 2/1 = 2

For the second set of points, we have:

m = (4-0)/(0--2) = 4/(0+2) = 4/2 = 2

For the third set of points, we have:

m = (12-4)/(4-0) = 8/4 = 2

The rate of change, or slope, is constant; this makes the function a linear function with a common first difference of 2

Hope it helps

Answer:

b on edge 2021

Step-by-step explanation:

What is the best measure of center for the histogram
A)Mean
B) Median
C) Mode
D) Range

Answers

Answer:

(B)

Step-by-step explanation:

I think it will help you

Find the numbers missing from this table of data that gives a prediction of
how many students are freshmen, sophomores, juniors, and seniors based on
data found in a sample of 1000 students:

Answers

Answer:

a = 21%

b = 260%

c = 25%

Step-by-step explanation:

I just answered that question

will name the brainliest!!!

Answers

Answer:

x = 10.7 (as rounded to the nearest tenths)

Step-by-step explanation:

Angle 50 is given and so is it's adjacent side, we have to find its opposite side so we will use the Tangent ratio;

Tan(50) = [tex]\frac{x}{9}[/tex]

=> To isolate the variable x, multiply 9 on each side of "="

Tan(50) * 9 = x

10.7 = x

Hope this helps!

Determine the volume of the rectangular prism. (3 points)
30/7 cm2
1/3cm

Answers

Answer:

10/7 cm^3

Step-by-step explanation:

I can only assume that '30/7 cm^2' represents the area of the base and 1/3 cm the height.  If and only if that is the case, then the volume is

V = (base area)(height) = (30/7 cm^2)(1/3 cm) = 10/7 cm^3.

PLZ HELP 50 POINTS Which is the function represented by the table?

A 2-column table with 4 rows. Column 1 is labeled x with entries negative 1, 0, 1, 2. Column 2 is labeled f (x) with entries 4, 5, 6, 7.

Answers

Answer:

the answer is a f(x)= x+5.

Step-by-step explanation:

the answer is f(x)= x+5 because in each row the value increases by 5.

Answer:

a

Step-by-step explanation:

i need answer. Please help me.​

Answers

I think it’s positive. As it gets heavier, the cost has a positive slope, or increases. I’m not absolutely sure though

This is 100% positive.

the duration of a movie is 3 hours and 15 minutes if it starts at 6:30pm at what time will it end?​

Answers

Answer:

9:45pm

Step-by-step explanation:

3 hours= 9:30pm

3 hours including 15 minutes= 9:45 pm

A model rocket is launched with an initial upward velocity of 188 ft/s. The rocket's height h (in feet) after t seconds is given by the following.
h=188t-16t^2

Find all values of for which the rocket's height is 92 feet.
Round your answer(s) to the nearest hundredth.
(If there is more than one answer, use the "or" button.)

Answers

Answer:

0.51 and 11.24 seconds.

Step-by-step explanation:

The height h of a rocket with an initial upward velocity of 188 feet per second after t seconds is modeled by the function:

[tex]h(t)=188t-16t^2[/tex]

And we want to find all values of t for which the rocket's height is 92.

So, we can set h(t) = 92 and solve for t:

[tex]92=188t-16t^2[/tex]

We can divide everything by four:

[tex]23=47t-4t^2[/tex]

Rearrange the equation:

[tex]4t^2-47t+23=0[/tex]

We can use the quadratic formula:

[tex]\displaystyle x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}[/tex]

In this case, a = 4, b = -47, and c = 23. Substitute:

[tex]\displaystyle x=\frac{-(-47)\pm\sqrt{(-47)^2-4(4)(23)}}{2(4)}[/tex]

Evaluate:

[tex]\displaystyle x=\frac{47\pm\sqrt{1841}}{8}[/tex]

Hence, our two solutions are:

[tex]\displaystyle x=\frac{47+\sqrt{1841}}{8}\approx 11.24\text{ or } x=\frac{47-\sqrt{1841}}{8}\approx0.51[/tex]

So, the rocket reaches a height of 92 feet after 0.51 seconds and again after 11.24 seconds.

WHOEVER ANSWERS FIRST GET BRAINLIEST

Multiply.

4 1/6 × 5 3/5

Enter your answer in the box as a mixed number in simplest form.
(Answer)

Answers

Answer:

Exact Form: 70/3

Decimal Form: 23.333

Mixed Number: 23 1/3

Step-by-step explanation:

Someone PLEASEEEE HELPPPP

Answers

Answer:

x = 18√3

Step-by-step explanation:

From the picture attached,

In a right triangle,

Measure of one angle = 30°

Measure of adjacent side of the angle = 9 units

We have to find the measure of Hypotenuse from the given properties.

By cosine rule,

cos(30°) = [tex]\frac{\text{Adjacent side}}{\text{Hypotenuse}}[/tex]

[tex]\frac{\sqrt{3}}{2} =\frac{9}{x}[/tex]

[tex]x=18\sqrt{3}[/tex]

Therefore, measure of Hypotenuse is 18√3 units.

a rectangle has an area of 34 sqaure feet. A larger rectangle has an area of 124 sqaure feet. what is the percent increase of the larger rectangle to the smaller rectangle​

Answers

Answer:

The difference in areas:

124 - 34 = 90 square feet

Percent increase:

90/34*100% = 264.71%

Can someone help me out my grads are bad

Answers

Answer:

The modes are 0 and 2. There are two because there are the same number of numbers. (four 0s and four 2s)

PLS HELP ME WITH THIS QUESTION!!

Answers

Answer:

a

Step-by-step explanation:

Drew received a bonus check for $2500 and he's going to deposit the money into a bank account there is is 5.5% simple interest amount of interest earned each year is how much

Answers

Answer:

$137.50

Step-by-step explanation:

Simples interest = amount deposited x time x interest rate

2500 x 0.055 x 1 = 137.50

Answer:m

Step-by-step explanation:

Jeff buys a cylindrical aquarium for his living room. The aquarium is 21.5 inches tall with a radius of 21 inches. What is the volume of the aquarium? Round answer to the tenth.

Answers

Sorry there isn't. I have experienced the same thing before an unfortunately I was not able to view the question after it was deleted. Sorry again :(

can someone please help its my last one

Answers

Answer:

80 + 40 + (x + 64) = 180

120 + (x + 64) = 180

-120                  -120

x + 64 = 60

-64        -64

X = -4

Step-by-step explanation:

Let's double check

64 - 4 = 60

60 + 80 + 40 = 180 It works!

Therefore X = -4.

❗️❗️HELP ❗️❗️Triangle ABC is shown below.
98
46
B
Use the drop-down menus to explain how to determine the measure of angle A. Click the arrows to
choose an answer from each menu.
degrees, so the measure of
The measure of angle A is
The sum of the interior angles of a triangle equals Choose...
angle A can be found by calculating Choose...
Choose... degrees

Answers

Answer: I need this one too

Step-by-step explanation:

Answer:

180

180 - (98 + 46)

36

Step-by-step explanation:

HELPP MEE!!! Find the total area of the figure below. Round your answer to the nearest tenth.

Answers

Answer:

area = 110.72 m²

Step-by-step explanation:

area of square = 8 x 9 = 72 m²

area of triangle = 1/2 x 3 x 9 = 13.6 m²

area of semi circle = 1/2πr² = 1/2(3.14)(4²) = 25.12 m²

total area = 72 + 13.6 + 25.12 = 110.72 m²

Write a verbal description of the
meaning of f(3) = 6.

Answers

Answer:

When your input is 3, (x value), the y-value would be 6.

Step-by-step explanation:

anyone know how to do this?

Answers

Answer: A reasonable estimate of the minimum is 20.

who's the queen of rap ?

Answers

Answer:

niki minaj " im the queen of rap" she said it

Step-by-step explanation:

Answer:

Nicki Minaj

Explanation:

Onika Tanya Maraj-Petty, known professionally as Nicki Minaj, has held the “Queen of Rap” title for at least ten years.

plz help I will mark brainliest !!!

Answers

Answer:

-5.3 Fahrenheit

Step-by-step explanation:

mark me brainliest

Answer:

b

Step-by-step explanation:

help pleaseeeeeeeeeee !

Answers

Answer: acute 90-

Step-by-step explanation:

Answer: 21.9

Step-by-step explanation:

tan-1(4 / 10)

I hope im right

A triangular pyramid has lateral faces with bases of 8 meters and heights of 10
meters. The area of the base of the pyramid is 27.7 square meters.
What is the surface area of the pyramid?
The surface area of the pyramid is
square meters.

Answers

Answer:

147.7 m²

Step-by-step explanation:

Area of the triangular faces = 1/2 × base × height

A triangular pyramid has lateral faces with bases of 8 meters and heights of 10 meters.

Hence: 1/2 × 8 × 10 = 40 m²

A triangle has 3 faces, hence, area of the 3 faces = 3 × 40 m²

= 120m²

The area of the base of the pyramid is 27.7 square meters.

Hence, the surface area of the pyramid is calculated as:

Area of the 3 lateral faces of the pyramid + Base area

= 120m² + 27.7 m²

= 147.7 m²

The surface area of the pyramid is 147.7 square meters.

Math
HELPP PLEASEEE

It is 1.32 pm, Sem will go to the store in 12 minutes. What time will Sam go
to the store?


Answers

Answer: 1:44

Step-by-step explanation: 1:32. take the 32 and add 12. 1:44

Answer:

1:32

Now add 12 minutes to 32.

1:44

Step-by-step explanation:

The number on the left of the colum is the hour and the number on the right of the colum is the minutes.

Which expression is equivalent to 9m – 36?

A. 9(m – 36)
B. 8m – 12 + m + 48
C. 9(m + 4)
D. -12m + 4 + 21m – 40

Answers

The expression is equivalent to 9m-36 is
D is the right answer

Math question:
Help me out and I will do anything

Answers

Answer:

b. 2/5

Step-by-step explanation:

[tex] \frac{8}{20} \frac{ \div 4}{ \div 4} = \frac{2}{5} [/tex]

Answer:

The experimental probability of tossing heads is [tex]\frac{2}{5}[/tex].

Step-by-step explanation:

The experimental probability is the probability that is determined on the basis of the results of an experiment repeated many times. Since Vernon tossed 8 heads during his 20 experiments, the experimental probability of tossing heads is [tex]\frac{8}{20}[/tex] or [tex]\frac{2}{5}[/tex].

Which is equivalent to √3+√12?​

Answers

Answer:

3[tex]\sqrt{3}[/tex]

Step-by-step explanation:

Using the rule of radicals

[tex]\sqrt{a}[/tex] × [tex]\sqrt{b}[/tex] ⇔ [tex]\sqrt{ab}[/tex]

Simplifying [tex]\sqrt{12}[/tex]

[tex]\sqrt{12}[/tex]

= [tex]\sqrt{4(3)}[/tex]

= [tex]\sqrt{4}[/tex] × [tex]\sqrt{3}[/tex]

= 2[tex]\sqrt{3}[/tex]

Then

[tex]\sqrt{3}[/tex] + [tex]\sqrt{12}[/tex]

= [tex]\sqrt{3}[/tex] + 2[tex]\sqrt{3}[/tex]

= 3[tex]\sqrt{3}[/tex]

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