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:
1/2 * 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
Related Questions
anyone know how to do this?
Answers
Answer: A reasonable estimate of the minimum is 20.
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
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
D is the right answer
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)
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.
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 :(
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:
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.
PLS HELP ME WITH THIS QUESTION!!
Answers
Answer:
a
Step-by-step explanation:
❗️❗️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:
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:
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
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].
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
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
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 feetPercent increase:
90/34*100% = 264.71%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.
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
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.
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.
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:
plz help I will mark brainliest !!!
Answers
Answer:
-5.3 Fahrenheit
Step-by-step explanation:
mark me brainliest
Answer:
b
Step-by-step explanation:
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!
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]
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
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:
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.
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: