Answers
The volumes of the pyramids are listed below:
V = 1437.333 cm³V = 75,398 km³V = 59.2 ft³V = 393.3 yd³V = 1134.116 m³V = 403.333 mm³V = 405.6 in³V = 886.808 ft³How to determine the volume of a pyramidVolume is the space occuppied by an object. In this question we must determine the volumes of pyramids of circular base and polygonal base (V). All the formulas needed are described below:
Volume of the pyramidV = (π/3) · B · h (1)
Base of the pyramid - CircleB = (π/4) · R² (2)
Base of the pyramid - Regular polygon
B = (n · L²)/(4 · tan 0.5α) (3)
Base of the pyramid - Right triangleB = (1/2) · b · z (4)
Base of the pyramid - RectangleB = b · z
Where:
R - Radiusn - Number of sides of the polygon.l - Side lengthα - Internal angle, in degree.h - Height of the pyramidb - Base of the right triangle/rectangle.z - Length of the right triangle/rectangle.Now we proceed to solve each pyramid:
1) Square, n = 4, α = 90°, L = 14 cm, h = 22 cm
B = 196 cm², V = 1437.333 cm³
2) Circle, R = 3 km, h = 8 km
B ≈ 28.274 km², V = 75,398 km³
3) Right triangle, b = 12 ft, z = 3.7 ft, h = 8 ft
B = 22.2 ft², V = 59.2 ft³
4) Rectangle, b = 23 yd, z = 9 yd, h = 5.7 yd
B = 207 yd², V = 393.3 yd³
5) Circle, R = 9.5 m, h = 12 m
B ≈ 283.529 m², V = 1134.116 m³
6) Regular pentagon, B = 110 mm², h = 11 mm
V = 403.333 mm³
7) Square,n = 4, α = 90°, L = 13 in, h = 7.2 in
B = 169 in², V = 405.6 in³
8) Regular triangle, n = 3, α = 120°, L = 16 ft, h = 24 ft
B ≈ 110.851 ft², V = 886.808 ft³
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Related Questions
Sara uses ribbon to make hair bows. The length of each ribbon Sara uses is represented by the line plot shown. What is the difference, in feet, between one of the pieces of ribbon that has the longest length and one of the pieces that has the shortest length?
Answers
Answer:
1
Step-by-step explanation:
because if you do 1 1/2 - 1/2 = 1
The table shows input and output values for a liner function f(x). What is the positive difference of outputs for any two outputs that are two values apart? H E L P. 10 Points award!!
Answers
Answer:
If you observer the value of x=0 and x=1, you can conclude that every 1 value of x increased,
the f(x) will be increased by 0.5. The graph function should be:
f(x)= x/2A positive difference means that the value should be always positive.
To find 3 the positive difference of f(x) with 3 values of x apart, let use x=0 and x=0+3= 3. The difference would be:
f(x+3) - f(x)f(3)- f(0)=1.5 - 0= 1.5The answer would be: 1.5
A box contains 6 red marbles, 4 blue marbles, and 8 yellow marbles.
13. Find P(yellow then red) if a marble is selected, and then a second marble
is selected without replacing the first marble.
Answers
Answer:
Step-by-step explanation:
The total number of marbles is 6 + 8 + 4 = 18]
If the first marble drawn is yellow, that happens with a probability of 8/18
So the important thing to note is that now there are 17 marbles,
Now a red marble is drawn. We didn't replace the yellow.
There are 6 red marbles.
So the chances of getting a red marble is 6/17
Answer. P(Y then R) = 8/18 * 6/17 = 48/306
48 / 306 reduces down to 8/51 = 0.156
Which expressions are equivalent to
5^2
5^8
Answers
For which value of m does the graph of y = 18x2 + mx + 2 have exactly one x-intercept?
0
9
12
16
Answers
Answer:
The graph y = 18x2 + mx + 2= 12
So the answer is 12
The value of m does the graph of y = 18 x² + m x + 2 have exactly one x-intercept is 12.
What is Intercept?The points where a line crosses an axis are known as the x-intercept and the y-intercept, respectively.
We have Equation.
y = 18 x² + m x + 2
Now, to find exactly one intercept we will use Discriminant Method as
D = m² - 4 x 18 x 2 = 0
m² - 144 = 0
m² = 144
m = -12 or m = 12
Thus, the required value of m is 12.
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1+(2/3)-(-9/2)
i don't understand this and i need help
Answers
Answer:
6.167
Step-by-step explanation:
1 + 2/3 - (-9/2)
1 + 2/3 + 9/2
Taking LCM (1 x 2 x 3)
6/6 + 4/6 + 27/6
6 + 4 + 27/6
37/6
6.167 Ans
Vertex: (-1,4) Point: (1,8)
Answers
Answer:
See below
Step-by-step explanation:
I assume you want the quadratic that has these values
Vertex form of this parabola
y = a(x- - 1)^2 + 4 insert the given point to calculate 'a'
8 = a (1 + 1)^2 + 4 shows a = 1
y = (x+1)^2 + 4 expand this vertex form to get the quadratic form
y = x^2 + 2x + 5
Put the polynomials in order from lowest degree to
highest degree
(Look at Photo)
Answers
B is 1, A is 2, D is 8, C is 10
A theater has 32 rows. The first row has 18 seats, second row has 21 seats, third row
has 24 seats, and so on. Determine the total number of seats in the theater.
Answers
Answer:
2064
Step-by-step explanation:
18 + 21 + 24 + ...
This is an arithmetic series with first term 18 and common difference 3.
The nth term is
18 + 3(n - 1)
The 32nd term is the number of seats in the 32nd row:
18 + 3(32 - 1) = 18 + 3(31) = 18 + 93 = 111
The sum of the series is:
n/2(a + L) = (32/2)(18 + 111) = 2064
find the angle between the pair of vectors to the nearest tenth of a degree
6i-4j, 2i-6j
Answers
[tex]~~~~~~~~~~~~\textit{angle between two vectors } \\\\ cos(\theta)=\cfrac{\stackrel{\textit{dot product}}{u \cdot v}}{\underset{\textit{magnitude product}}{||u||~||v||}} \implies \measuredangle \theta = cos^{-1}\left(\cfrac{u \cdot v}{||u||~||v||}\right) \\\\[-0.35em] ~\dotfill\\\\ \begin{cases} 6i-4j\\ 2i-6j \end{cases}\implies \stackrel{\qquad a~\hfill b\qquad }{\begin{array}{llll} < 6~~,~~-4 > \\ < 2~~,~~-6 > \end{array}}[/tex]
[tex]\stackrel{\textit{\Large dot product}}{ < 6~~,~~-4 > \cdot < 2~~,~~-6 > \implies (6\cdot 2)+(-4\cdot -6)}\implies 12+24\implies 36 \\\\\\ \stackrel{\textit{\Large magnitudes}}{|| < 6~~,~~-4 > ||\implies \sqrt{6^2+(-4)^2}\implies \sqrt{52}} \\\\\\ || < 2~~,~~-6 > ||\implies \sqrt{2^2+(-6)^2}\implies \sqrt{40} \\\\[-0.35em] ~\dotfill[/tex]
[tex]\measuredangle \theta =cos^{-1}\left( \cfrac{36}{\sqrt{52}\cdot \sqrt{40}} \right)\implies \measuredangle \theta =cos^{-1}\left( \cfrac{36}{\sqrt{52}\cdot \sqrt{40}} \right) \\\\\\ \measuredangle \theta =cos^{-1}\left( \cfrac{36}{\sqrt{2080}} \right)\implies \measuredangle \theta \approx 37.9^o[/tex]
pls answer this fasttt
got a deadline
Answers
Answer: 1.a equal 158 over 33 1.b equals 34 over 33
1.c equals negative 31 over 15
3.a equals 106 over 35
3.b equals negative 293 over 72 .
Step-by-step explanation: I am very sorry but I answered what I know . Hope it helps you . Sorryyy. Thanks . .
4. 10 Unit Test: Surface Area and Volume - Part 1
UNIT TEST:
Surface Area and Volume - Part 1
Which net represents this solid figure?
Answers
The shape represented by this solid figure attached is a triangular prism with two triangle base and three rectangular faces.
What is a solid figure?A solid figure is a three dimensional shape having length, width and height. Examples of solid figures are cylinders, cone, pyramid and prism.
The shape represented by this solid figure attached is a triangular prism with two triangle base and three rectangular faces.
Find out more on solid figure at: https://brainly.com/question/8774322
Can someone please help me
Answers
Answer:
15
Step-by-step explanation:
f(X)= f(5)
meaning X= 5
x²-2x
5²-2(5) = 15
PLEASE HELP FAST. What is the area of this right triangle?
Answers
Formula for the area of a triangle = 1/2 x base x height
Base = 24
Height = 7
Area = 1/2 x 24 x 7 = 12 x 7 = 84
Answer: 84 yd^2
Hope this helps!
A web browser is open on your computer screen. The area of the browser window is 24 square inches. Find the length of the browser window x. The browser covers 3/13 of the screen. What are the dimensions of the screen?
Answers
We will see that the length of the browser window is 4.9 inches, and the screen is a square of sidelength 10.2 in
How to find the length of the browser window?
We know that the area of the browser window is 24 in^2, we will assume that the window is a perfect square, then the area is equal to the square of the length x, we have:
x^2 = 24 in^2
x = √(24 in^2) = 4.9 in
How to get the dimensions of the screen?We know that the browser covers 3/13 of the screen, so the area of the screen is 13/3 times the area of the browser:
A = (13/3)*24 in^2 = 104 in^2
Again, if the screen is square of sidelength s, we have:
s^2 = 104 in^2
s = √(104 in^2) = 10.2 in
If you want to learn more about areas, you can read:
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How to solve and what is the final answer to the question
Answers
Answer:
12
Step-by-step explanation:
Differentiate the equation. It will give you -1/6x + 2 = dy/dx.
Let dy/dx = 0 (you do this because the highest point is usually the turning point. The gradient is zero at the turning point, meaning that you'd have to set dy/dx to be zero to figure out the highest point).
Then rearrage for x
-1/6x+2=0
1/6x = 2
x = 12
Matthew collected different types of leaves for a science project. He measured the lengths of the leaves. This list shows his findings. 2, 2, 234, 214, 3, 234, 3, 234, 314, 312, 3, 234 Create a line plot to display the data.
Answers
Answer:
Place 2 X's above the 2 column, and Place 1 X above the 2 1/4 column, place 4 X's in the 2 3/4 column, place 2 X's in the 3 column, place 1 X in the 3 1/4 column, and 1 X in the 3 1/2 column.
Step-by-step explanation:
The key with Line plots is to count the amount of that number. As you can see, there are 2 2's in the 2 columns, 2 3's in the three-column, and so on. And the three main steps of making a line graph are these:
1. Count the Number of what you have
2. Always give your graph a title
3. Keep your graph organized. An unorganized graph can cause confusion.
And you're done! I hope this helped!
The first three steps in writing f(x) = 40x 5x2 in vertex form are shown. write the function in standard form. f(x) = 5x2 40x factor a out of the first two terms. f(x) = 5(x2 8x) form a perfect square trinomial. (eight-halves) squared = 16 f(x) = 5(x2 8x 16) – 5(16) what is the function written in vertex form? f(x) = 5(x 4) – 80 f(x) = 5(x 8) – 80 f(x) = 5(x 4)2 – 80 f(x) = 5(x 8)2 – 80
Answers
The function which is the vertex form of the equation whose first three steps shown in writing is f(x)=5(x +4)²- 80.
What is the vertex form of parabola?Vertex form of parabola is the equation form of quadratic equation, which is used to find the coordinate of vertex points at which the parabola crosses its symmetry.
The standard equation of the vertex form of parabola is given as,
[tex]y=a(x-h)^2+k[/tex]
Here, (h, k) is the vertex point.
The first three steps in writing the function in vertex form are shown.
[tex]f(x) = 40x +5x^2[/tex]
Write the function in standard form.
[tex]f(x) = 5x^2+ 40x[/tex]
Factor out of the first two terms by taking out the common number 5 from the equation,
[tex]f(x) = 5(x^2 +8x)[/tex]
Form a perfect square trinomial with (8/2)² = 16,
[tex]f(x) = 5(x^2 +8x+ 16) - 5(16)\\f(x) = 5(x+4)^2 - 80[/tex]
Hence, the function which is the vertex form of the equation whose first three steps shown in writing is f(x)=5(x +4)²- 80.
Learn more about the vertex form of the parabola here;
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Answer:
c
Step-by-step explanation:
 which equation represents the line that passes through the points (3, 7) and (-1, -1)?
Answers
points: (3, 7) and (-1, -1)
slope (m) :
[tex]\sf \dfrac{y_2-y_1}{x_2-x_1}[/tex]
========
[tex]\hookrightarrow \dfrac{-1-7}{-1-3}[/tex]
[tex]\hookrightarrow \dfrac{-8}{-4}[/tex]
[tex]\hookrightarrow 2[/tex]
Equation:
[tex]\sf y-y_1 = m(x-x_1)[/tex]
==============
[tex]\rightarrow \sf y-7 = 2(x-3)[/tex]
[tex]\rightarrow \sf y = 2x-6+7[/tex]
[tex]\rightarrow \sf y = 2x+1[/tex]
Answer:
[tex]y = 2x- 1[/tex]
Step-by-step explanation:
To determine which equation passes through the points (3, 7) and (-1, -1), we need to determine the slope of the equation. Then, we shall use point slope form to determine the equation of the line.
Determining the slope of the line:
[tex]\text{Slope} = \dfrac{\text{Rise}}{\text{Run} } =\dfrac{\text{y}_{2} - \text{y}_{1} }{\text{x}_{2} - \text{x}_{1} }[/tex]
Substituting the points in the slope formula:
[tex]\text{Slope} =\dfrac{-1 - 7 }{-1- 3 }[/tex]
Simplifying the slope:
[tex]\text{Slope} =\dfrac{-1 - 7 }{-1- 3 }[/tex]
[tex]\text{Slope} =\dfrac{-8}{-4 } = 2[/tex]
Determining the equation of the line:
We shall use point slope form to determine the equation of the line.
[tex]\text{Point slope form:} \ y - y_{1} = m(x- x_{1} )[/tex]
Substitute the slope and the coordinates of any two points stated above.
[tex]y -7= 2(x- 3 ) \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ [\text{Using the point (3,7)}][/tex]
Simplify the equation and organize it to slope intercept form:
[tex]y -7= 2x- 6[/tex]
[tex]y = 2x- 6 + 7[/tex]
[tex]y = 2x+ 1[/tex]
The record low temp in Fargo, ND is -37*F. The record high is 109*F. What is the difference in the record high and the record low temperatures?
Answers
Answer:
109 - -37 = 146
Step-by-step explanation:
since you are subtracting a negative, the negative number and the sign cancel each other out. So all you have to do is add.
Food Bill= $48.06 and a 24% tip Tip = $ Total = $
Answers
[tex]\begin{array}{|c|ll} \cline{1-1} \textit{a\% of b}\\ \cline{1-1} \\ \left( \cfrac{a}{100} \right)\cdot b \\\\ \cline{1-1} \end{array}~\hspace{5em}\stackrel{\textit{24\% of 48.06}}{\left( \cfrac{24}{100} \right)48.06}\implies 11.5344~\hfill \underset{total}{\stackrel{48.06~~ + ~~11.53}{\approx 59.59}}[/tex]
Answer:
59.59$
Step-by-step explanation:
24% of $48.06=11.5344
Total=11.5+48.06=$59.59
I need help! will mark brainliest and add bonus points. The question is own below:
The mean age of 17 golfers is 52
The mean age of 9 of the golfers is 74
what is the mean age of the 8 golfers
Answers
Answer:
27.25 Years Old
Step-by-step explanation:
Find the total age of the 17 golfers.
52(17) = 884
Find total age of the 9 golfers.
9(74) = 666
Subtract.
884 - 666 = 218
Divide by the 8 golfers.
218/8 = 27.25
Create a dot plot to represent the data. what can you conclude about the dot plot of the data set? select the three best answers. the range of the number line should be 0 to 7 to represent the frequency. four families said they ate out twice the previous week. one family said they ate out 5 times the previous week. the data set is symmetrical. the median best represents the data set.
Answers
The range of the dot plot can be from zero to seven because it covers the given data set. Then the correct options are A, B, and C.
What is frequency?The element which appears a number of times are called frequency.
The data set shown below represents the number of times some families went out for dinner the previous week.
The data set is given as:
4, 2, 2, 0, 1, 6, 3, 2, 5, 1, 2, 4, 0, 1
Rearrange in ascending order
0, 0, 1, 1, 2, 2, 2, 2, 4, 4, 5, 6
Data Frequency
0 2
1 2
2 4
3 0
4 2
5 1
6 1
Because the median is 2, and the data points to the left and right are not symmetrical, the data set is not symmetrical.
From the given data set
4 has a frequency of 2
5 has a frequency of 1
Then the range of the dot plot can be from zero to seven because it covers the given data set.
More about the frequency link is given below.
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help pls
make sure its correct
Answers
The quadratic regression equation of company X sales would have a degree of 2
The quadratic regression equation is y = -507.61x^2 +23372.94x -170697.85The profit for selling at $22.75 is $98316.63The quadratic regression equationTo determine the quadratic regression equation, we make use of a graphing calculator
From the graphing calculator,we have the following calculation summary
a = -507.61b = 23372.94c = -170697.85A quadratic regression equation is represented as:
y = ax^2 + bx + c
So, we have:
y = -507.61x^2 +23372.94x -170697.85
Hence, the quadratic regression equation is y = -507.61x^2 +23372.94x -170697.85
The profit for selling at $22.75This means that:
x = 22.75
So, we have:
y = -507.61 * 22.75^2 + 23372.94 * 22.75 -170697.85
Evaluate
y = 98316.63
Hence, the profit for selling at $22.75 is $98316.63
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Which equation is equivalent to n+4 = 11?
Answers
Answer:
n = 7
Step-by-step explanation:
n+ 4 = 11 subtract 4 from both sides of the equation
n + 4 -4 = 11-4
n = 7
Hey there!
n + 4 = 11
SUBTRACT 4 to BOTH SIDES
n + 4 - 4 = 11 - 4
CANCEL out: 4 - 4 because it give you 0
KEEP: 11 - 4 because it help solve for the n-value
NEW EQUATION: n = 11 - 4
SIMPLIFY IT!
n = 7
Therefore, your answer is: n = 7
Good luck on your assignment & enjoy your day!
~Amphitrite1040:)
Pleaseeeee helppppp meeeee
Answers
Answer:
NY or MZ
Step-by-step explanation:
they are both outside of the parallel lines and on opposite sides of the transverse line
Anyone know how to answer this question? Need help quickly pls!!
Answers
Answer:
500miles
Step-by-step explanation:
use the Pythagorean theory
Answer answer answer
Answers
Answer:
B which is b=4
Step-by-step explanation:
POSITIVE FOUR, just to be clear
Answer:
the answer is b
Step-by-step explanation:
If circumference of a circle x^2 +y^2 -6x+2y+c =0 be 6pie units, find c
Answers
Circumference = 2× pie × r
Circumference = 6pie
Thus ;
2pie × r = 6pie
r = 3
____________________________________________
[tex]r = \frac{1}{2} \sqrt{ ({ - 6})^{2} + {2}^{2} - c} \\ [/tex]
[tex]3 = \frac{1}{2} \sqrt{ 36 + 4 - c} \\ [/tex]
[tex]6 = \sqrt{40 - c} [/tex]
[tex]( {6})^{2} = ({ \sqrt{40 - c} })^{2} [/tex]
[tex]36 = 40 - c[/tex]
[tex]c = 4[/tex]
Planet XX is in a stable circular orbit around a star, as shown in the figure. Which of the following graphs best predicts the angular momentum of the planet as a function of its horizontal position from point AA to point BB if the planet is moving counterclockwise as viewed in the figure above?
Answers
Answer:
option c iscorrect
Step-by-step explanation:
Speed
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|________________ position