The rectangular prism and rectangular pyramid below have the same volume. Determine the value of x, the length of the prism.
Answers
ANSWER
[tex]x[/tex]= 9 [tex]in[/tex]
EXPLANATION
The volume of a rectangular prism is given by the formula,
[tex]V[/tex]= [tex]l[/tex] x [tex]b[/tex] x [tex]h[/tex]
We substitute the dimensions to obtain,
[tex]V[/tex]= 6 x 3 x 12 [tex]in^{3}[/tex]
The volume of the rectangular pyramid is,
[tex]V[/tex]= [tex]\frac{1}{3}[/tex] x 6 x 12 x [tex]x[/tex] [tex]in^{3}[/tex]
Equating the two values gives,
[tex]\frac{1}{3}[/tex] x 6 x 12 x [tex]x[/tex] = 6 x 3 x 12
We divide through by 6×12 to get,
[tex]\frac{x}{3}[/tex] = 3
We solve for x to obtain,
[tex]x[/tex] = 3 x 3
[tex]x[/tex] = 9 [tex]in[/tex]
Hope this helps! Happy Monday!
Related Questions
Ty guys for helping me i need two more pls
Answers
Answer:
Step-by-step explanation:
No help me
5. 39
that should be it:)
Sara and Anna split the cost of lunch. The bill was $32, including tax. They left a 15% tip. How much did each girl pay?
Answers
Answer:
$18.40
Step-by-step explanation:
(find the tip)
$32 x 15% = $4.80 (tip)
Total bill:
32 + 4.80 = 36.80
Each girl paid:
36.80 / 2 = $18.40
A map of a highway has a scale of 2 inches =39 miles. The length of the highway on the map is 6 inches. There are 11 rest stops equally spaced on the highway, including one at each end. You are making a new map with a scale of 1 inch =30 miles. How far apart are the rest stops on the new map?
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0.45 inches apart .................................
Please help me and can you write an explanation too please.
Answers
Answer:
[tex]\Huge\boxed{x=42}[/tex]
Step-by-step explanation:
Hello There!
The shown angles are supplementary angles.
We know this because a straight line is split into two angles
A straight line creates a 180 degree angle so the sum of the two angles is 180
So we can use this equation to solve for x
180 = 3x + 12 + x
3x + x = 4x
180=4x+12
step 1 subtract 12 from each side
180-12=168
12-12 cancels out
now we have
168=4x
step 2 divide each side by 4
4x/4=x
168/4=42
we're left with x = 42
Pls helppp 3 part question
Answers
Help me plz I don't understand math today?
Answers
Answer:
C-42
B-156
A-66
Step-by-step explanation:
Now I'm not a 100% sure on this but I'm pretty confident.
The easiest on to find was C because on the opposite side was 24 so the side we are working with must equal 24. In order to find the answer I did 24 + 18 and got 42. That means C = 42.
The next one I found was B. A straight line is 180 degrees so I subtracted 24 from 180 and got 156.
Finally I found A. This was considerably the quickest on to find for me because of all the other measurements I found and the 90 degrees beside the A. I subtracted 90 from the already found 156. I got 156 because if you take out the 90 degree line it would be a mirror image of B. Once I subtracted 90 from 156 I got 66 as my answer.
Answer:
C-42
B-156
A-66
Step-by-step explanation:
im pretty sure
please help!!
Picture 1 is the question
Picture 2 is answers
Answers
Answer:
The first one.
Step-by-step explanation:
Which two points should the line of best fit go through to best represent the data in the scatterplot?
(1, 16) and (2, 15)
(1, 16) and (6, 1)
(2, 15) and (4, 9)
(5, 8) and (6, 1)
Answers
Answer:
B. (1, 16) and (6, 1)
Step-by-step explanation:
These make the most since because one is at the peek of the graph and the other one is at the bottom of the graph, also, these two points are on opposite sides of the graph.
What is the slope of the line that goes through the points (6, 4) and (8, -2)?
-6
-3
-1/3
3
Answers
Answer:
-3
Step-by-step explanation:
(6, 4) and (8, -2)
Slope:
m=(y2-y1)/(x2-x1)
m=( -2 -4)/(8-6)
m = (-6)/2
m = -3
Answer:
-3
Step-by-step explanation:
(6, 4) and (8, -2)
To find the slope of the line, we use the slope formula: (y₂ - y₁) / (x₂ - x₁)
Plug in these values:
(-2 - 4) / (8 - 6)
Simplify the parentheses.
= (-6) / (2)
Simplify the fraction.
-6/2
= -3
This is your slope.
Hope this helps!
A soup can in the shape of a cylinder has a diameter of 7 centimeters and a height of 15 centimeters. Which measurement is closest to the lateral surface area of the can in square centimeters? I NEED THE ANSWER ASAP! AND THE REAL ANSWER!
Answers
Answer:
It woudld be A
Step-by-step explanation:
Answer:
D. 329.87 cm²
Step-by-step explanation:
The formula for the lateral surface area of a cylinder is 2π(radius)(height).
That would be:
2(π)3.5(15)
6.28318530518(52.5)
329.86722862693
Round that to 329.87 cm²
A. 577.27 cm²
B. 2,309.07 cm²
C. 406.84 cm²
D. 329.87 cm²
Good luck!!
Find the surface area of the square pyramid.
The surface area is square inches.
Answers
Answer:
12in
Step-by-step explanation:
Answer:
area of the square pyramid=a²+2al
=5²+(2×5×7)
=25+70
=95in²
PLS help ASAP this really urgent
Answers
Answer:
Skewed right.
Step-by-step explanation:
The graph is not symmetric because it's not an exact mirror of each side if you drew a line in the center. If the graph has highpoints on the left side and is leaning down to the right, it's skewed right. Same thing vice versa.
Hello, please help me. Sorry again.
Answers
Will the graph of y = (7.25x)^2 be stretched or compressed horizontally or vertically when compared to the parent function y = x^2?
A. Because |b| < 1, the graph will be compressed vertically.
B. Because |b| < 1, the graph will be compressed horizontally.
C. Because |b| > 1, the graph will be compressed vertically.
D. Because |b| > 1, the graph will be compressed horizontally.
Answers
The correct statement is,
⇒ Because |b| > 1, the graph will be compressed horizontally.
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Given that;
Parent function is,
⇒ y = x²
And, Function is,
⇒ y = (7.25x)²
Now, The value of b = 7.25 is greater than 1.
Hence, the graph of y = (7.25x)² be compressed horizontally.
Thus, The correct statement is,
⇒ Because |b| > 1, the graph will be compressed horizontally.
Learn more about the function visit:
https://brainly.com/question/11624077
#SPJ3
If F(x) = x² + 5x and G(x) = 2x + 1, find F(5) + G(6). 48 63 107
Answers
Answer:
63
Step-by-step explanation:
F(x) = x² + 5x
F(5) = (5)² + 5(5) = 25 + 25 = 50
G(x) = 2x + 1
G(6) = 2(6) + 1 = 12 + 1 = 13
F(5) + G(6) = 50 + 13 = 63
Answer:
63
Step-by-step explanation:
Thank u hope it helps..
mark me the brainliest please
Simplify:
2x²(4x³-3x²+6x)
Answers
8x^3 - 6x^4 + 12x^3
NEED HELP REALLY BAD PLZ IT IS TURNED IN BY 1:30
Answers
Trust me I did it before
Hope it helps :)
Answer:
A) 5(5x - 2y)
Step-by-step explanation:
Divide common factors from both terms in the given expression. Note the factors of:
25: 1 , 5 , 25
10: 1 , 2 , 5 , 10
Find the largest common factor (5). Divide 5 from both terms:
(25x - 10y)/5 = 5x - 2y
5(5x - 2y) , or A) is your answer.
~
Guys plz help me asap i dont get this. also DONT ANSWER FOR POINTS i will report i have lost many points pls DONT. DONT answer if you dont know
Answers
Once more
2=C
3=?
4=?
5=D
6=A
BONUS= y= (x+2)² -14
Sorry I couldn’t help more.
Data Set: 5, 8, 10, 10, 15, 18, 23. What is the upper quartile limit (Q3) of this data set? *
Answers
Answer:
15, 18, and 23
Answer:
Q₃ = 18
Step-by-step explanation:
The first step is to find the median
The median is the middle value of the data in ascending order.
5, 8, 10, 10, 15, 18, 23
↑ middle value
median = 10
The upper quartile Q₃ is the middle value of the data to the right of the median, that is
15, 18, 23
↑ middle value
Thus Q₃ = 18
50 males liked the veggie burger and 40 males liked the pizza so out of 90 males what percent liked the burgers?
Answers
Answer: 10%?????????????????????
Step-by-step explanation:
40 out of 90 converted into a fraction would be 44.44%
For the data shown in the scatter plot below, which point is an outlier?
A. (1, 4)
B. (3, 3)
C. (4, 7)
D. (8, 7)
Pls answer ASAP
Answers
Note: not close to other points
What is the surface area of the square pyramid?
Answers
Can someone help me with this exempalar? The requirements for this are...
What I need to find (I did it so you do not need to do it)
My plan (what to do like multiply or divide)
Solution (your work)
Answer and explanation (answer it and explain)
That’s all! Thank you for helping :)
Answers
Answer:
I will: Multiply 32 times 20 to get the total cost of the foods and tickets. Then I will add the total cost of the tickets and the total cost of the bus to get the total cost of the trip. Lastly I will divide the total cost of the trip by 2 to find out how much money the class need to earn.
Solution: 32 • 20 = 640 + 900 = 1,540 ÷ 2 = 770
Answer: 770
Help me plssssssSssssssd
Answers
Answer:
x=3
Step-by-step explanation:
Answer:
Ez
Step-by-step explanation:
1/3 / 4 = 1/4 x 1/?
Solve what you can:
1/3 * 1/4 = 1/4 * 1/?
Multiply one side
1/12 = 1/4 * 1/?
Just put ? as X
1/12 = 1/4 * 1/X
1/12 = 1/4x
Multiply both side by 12
12 = 4x
Divide both sides by 4
3 = x
X = 3 bois
Riggoletto’s Portraits specializes in making circular portraits of people. A large portrait is 78 in. in diameter. A medium portrait is 26 in. in diameter. Estimate the difference between the areas of the two sizes of portraits. Use 3.14 for . Round your answer to the nearest whole number.
Answers
Answer:
4245
I hope this answer helps!
Please help with this
Answers
Answer:You better delete this because brainly moderators will get mad for seeing PDFS like this.
Step-by-step explanation:Happens to me all the time :/
These 2 questions are worth 35 points for the brainliest user. If you answer these two questions, I will answer any of yours for a brainliest on the ones that I answer right. Whoever answers these 2 questions first gets a brainliest.
1.) Which of the following list of side lengths could form a triangle?
10, 12, and 25
5, 6, and 12
2, 2, and 4
4, 5, and 6
2.) Which of the following sets of measures for sides doesn't form a triangle?
7, 9, 17
14, 18, 18
8, 8, 8
3, 3, 5
Answers
Answer:
4,5,6
7,9,17
Step-by-step explanation:
Help with this math question plz thx
Answers
Answer: 5/13
Step-by-step explanation:
If you add 3 + 8 + 2 = 13
And the probability of not getting a striped marble would be 5/13. Please rate 5 stars.
Answer:
(5 13)
Step-by-step explanation:
This is easy, So if you add 8+3+2=13
The last option is 8/13 because it knows that is answer if they did include 8 marbles but they are not so you add 3 and 2 which 5. You have 5 out of 13 chances!
Your Welcome! :)
I need help, I am confused
3(r-2)=39
Answers
Step-by-step explanation:
3(r-2)=39
divide both side by 3
3/3 (r-2)=39/3
r-2=13
adding 2 on each side
r-2+2=13+2
r=15
your answer is r=15
10d + 20 = 100 pls answer quick
Answers
Let's solve your equation step-by-step.
10d+20=100
Step 1: Subtract 20 from both sides.
10d+20−20=100−20
10d=80
Step 2: Divide both sides by 10.
10d
/10= 80/10
so d= 80
forgot the zero