The rectangular prism and rectangular pyramid below have the same volume. Determine the value of x, the length of the prism.
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!
PLS help ASAP this really urgent
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.
What is the slope of the line that goes through the points (-3, 8) and (0, 23)?
-5
-23/8
5
31/3
Answer:
5
Step-by-step explanation:
(-3, 8) and (0, 23)
m=(y2-y1)/(x2-x1)
m=(23 - 8)/(0+3)
m=(15)/3
m = 5
Please help. You will get points. Please answer it right. I don't have many points left.
Answer:
answer of q no.2
-3 and 12
Explanation:Suppose two numbers are x and y
smaller number = x
larger number = y
Given that,
The difference of two numbers is 15
Equation 1
y - x = 15
Five times the smaller is the same as 9 less than twice the larger.
Equation 2
5x = 9 - 2y
Solve them
-x = 15 - y
x = y -15
put value of x in equation 2
5(y - 15) = 9 - 2y
-75 + 5y = 9 - 2y
-75 - 9 = -2y - 5y
-84 = -7y
y = 84/7
y = 12
x = 12 - 15
x = -3
Jasmine ran 4.5 miles on Monday and 3.66 miles on Tuesday. How many miles did she run on Monday than on Tuesday? Write an equation, and draw a model to support your thinking.
Answer:
4.5 - 3.66 = 0.84
Step-by-step explanation:
4 . 5
- 3 . 6 6
------------------
0 . 8 4
Equation: Emily ran 4.5 miles and Casie ran 3.66 miles, how many more miles did Emily run then Casie?
Answer:
0.84 is your answer
Please rate and press the thanks button or give brainley thanks.
Step-by-step explanation:
4.5-3.66=0.84 which is your answer
Write a simplified expression that represents the perimeter of a triangle who has a length of 7x + 5 and a width of 3x - 8.
Answer:
The simplified expression would be 10x - 3
Step-by-step explanation:
add like terms.
Drag a description to match each equation.
PLS HELPP MEE !! I'LL MARK IF RIGHTT!!
Answer:
y = 2x -- Multiplicative: y is 2 times x.
y = x + 2 -- Additive: y is 2 more than x.
Step-by-step explanation:
answer:
y = 2x - - > multiplicative: y is 2 times x
y = x + 2 - - > additive: y is 2 more than x
step-by-step explanation:
i put the answers that match with itin order to do this, simply just try to match every word with the equation, you will eventually get itWhat is a domain in the following expression? 1/x I will mark brainliest
Answer:
The set of all first components of the ordered pairs of relation R is called domain
WILL GIVE BRAINLIEST
Please only answer with actual answers i need this work today urgently
Thank you
Answer:
11. 72 ÷ 6 = 12
12. (6 • 5) = 10 ÷ 3x
13. 35 + 13 = 48
14. 20 ÷ 16 = 1.25
15. Kayla has 24 donuts. She evenly divides them among herself and x friends. After dividing the donuts among herself and her friends, everyone had 3 donuts with none left over. 24 ÷ 3 = 8.
HELP FAST.
One year, Regina added 5 fish to her aquarium. The next year, she added 18 more fish. Which expression can be used to find the total number of fish Regina added to her aquarium those two years? A. -18 + 5 B. 18 – 5 C. -5 – 18 D. 5 + 18.
Answer: D
Step-by-step explanation:
Answer:
D
Step-by-step explanation:
D. 5+18 is correct
Thomas is building an enclosed container in the shape of a rectangular prism to house his pet tarantula. The dimensions of the container are 9 inches wide, 15.2 inches long and 6.5 inches tall. How many square inches of clear plastic will Thomas need to build the lateral surface area of the container?
A. 889.2 in
B. 207.35 in
C. 588.2 in
D. 314.6 in
Answer:
b
Step-by-step explanation:
Parallel Lines never intersect because...
A. they have the same slope
B. they have different y-slope
C. they have the same y-intercept
D. they have different slopes.
Answer:
they have the same slopes
Step-by-step explanation:
lines that have the same slope never touch therefore they are parallel.
hence the answer is A
please help me with math ty (please don't give helpless answers)
Answer:
1. $25.50
2. Deal A is $6.00 Deal B is $4.25 and the Difference of both is 1.75
Step-by-step explanation:
I dont know 3 and 4 but i hope this helps you
WILL GIVE BRAINLIEST
What is the surface area of the square pyramid?
Pls help me I just need the math equation y=mx thing thx!
Answer:
M=rise/run=y2-y1/ x2-x1
Step-by-step explanation:
Please help I'm very confused respond ASAP
Answer:
80°
Step-by-step explanation:
Answer:
B. 80°Step-by-step explanation:
The triangle in the middle has angles that:
Supplementary with 110°Supplementary with 150°Same with x, as alternate exterior angles are congruentInterior angles of a triangle sum to 180°
Find x:
x + (180° - 110°) + (180° - 150°) = 180°x + 70° + 30° = 180°x + 100° = 180°x = 80°Correct choice is B
HELP QUICKLY A basketball league’s average score is 58 points per game. Coach McGee tracks a team’s average for five weeks and compares it to the league’s average. The table shows the variances in scores for five weeks.
Points Above/Below Average
Week 1
Week 2
Week 3
Week 4
Week 5
2 and StartFraction 1 Over 8 EndFraction
1.6
Negative 2 and StartFraction 1 Over 8 EndFraction
–1.8
Negative 1 and StartFraction 4 Over 5 EndFraction
Which comparison is true? Use the number line to help you.
A number line going from negative 5 to positive 3 in increments of 1.
Week 1 = Week 3
Week 4 = Week 5
Week 2 < Week 4
Week 5 < Week 3
Answer:
B
Step-by-step explanation:
Week 4 = Week 5
I got it correct.
Please help me!!!
At midnight, the temperature in a city was 5 degrees Celsius. The temperature was dropping at a steady rate of 2 degrees Celsius per hour.
Write an inequality that represents t, the number of hours past midnight, when the temperature was colder than -4 degrees Celsius. Explain or show your reasoning.
2.
Tyler is simplifying the expression 6−2x+5+4x.
Here is his work:
6−2x+5+4x
(6−2)x+(5+4)x
4x+9x
13x
His work is incorrect. Explain the error he made.
3.
Simplify the expression 6−2x+5+4x. Hint: Your final expression shoul donly have two terms.
4.
Factor to write an equivalent expression:
36a−16
5.
Expand to write an equivalent expression:
−14(−8x+12y)
6.Diego's family car holds 14 gallons of fuel. Each day the car uses 0.6 gallons of fuel. A warning light comes on when the remaining fuel is 1.5 gallons or less.
Starting from a full tank, can Diego's family drive the car for 14 days without the warning light come on?
Please help me thank you
Answer:
I dont really know the answer
Step-by-step explanation:
I dont know
did you figure it out?
Use the clues below to determine a value for point C. Write your answer in the space provided and explain why your answer is correct.
if Sonja makes $2100 interest after investing $15,000 at 2.8%, how many years did she invest for?
Answer:
Sonja invested for 5 years.
Step-by-step explanation:
First you have to find how much money she gets in one year.
To do this you would have to multiply 15,000 and 2.8.
15,000 x 2.8 = 42000
You move the decimal 2 spaces forward since there are 3 zeros in 15,000 and one decimal place in 2.8.
This gives you 420.
To find how many years it takes for her to make $2100 you have to divide
2,100/420.
This gives you 5, which means that she invested for 5 years.
Please I’m so confused I need help
Answer:
F.
Step-by-step explanation:
set it upp.
Answer: I wanna say its f, but I'm not good at this
Step-by-step explanation:
Emily, Zeke, Harry, and Brook each conducted surveys on the number of books people have in their homes. Then, each student determined the accuracy of the following statement.
All measures of central tendency must appear as a number in the set of data collected.
Which student’s statement is CORRECT?
A.
Zeke says this is never true because all the measures of central tendency are never numbers in the set of data.
B.
Emily says this is always true because all the measures of central tendency also have to be numbers in the set of data.
C.
Brook says this is sometimes true because the mean and mode may or may not be in the set of data, but the median is always in the set of data.
D.
Harry says this is sometimes true because the mean and median may or may not be in the set of data, but the mode is always in the set of data.
Answer:
B EMILY WOULD BE CORRECT
Step-by-step explanation:
/
Find the correct plugged in formula for each figure.
Answer:
3
Step-by-step explanation:
I'm just guessing because you don't give any numbers or anything at all
Who ever gets this gets nothing,
2x3x5x7x9x4x2x6xx9x345
Answer: If I did my math correctly it should be 281685600.
Step-by-step explanation:
HURRY PLEASE
Solve the equation. 4x − 2 = 8x + 10 Use algebra tiles to assist you.
x = -3
x= 3
x = 8
x = -8
Answer:
x=-3
Step-by-step explanation:
4x-2 = 8x+10
4x-2 (-8x) =8x+10 (-8x)
-4x-2=10
-4x-2 (+2)=10 (+2)
-4x = 12
-4x (divded by -4) = 12 (divided by -4)
x = -3
hope it is correct! and hope i helped
Can u plz help me on this plz.
Answer:244 and 43
Step-by-step explanation:
hope this helps :) pls give brainliest for answering first
Someone help me with this
List the sample space (all the possible outcomes) for selecting a letter from the word mathematics.
Answer:
11
Step-by-step explanation:
Please help quickly! will give brainliest! no explanation is required. just a correct answer :)
Answer:
Answer : D
Step-by-step explanation: