The volume of a shape is the amount of space in it.
The expression that represents the volume of one table leg is: [tex]V = l^3 + n^3[/tex]The sides of the legs is 14.37 inches long(a) The volume of one table leg
Represent the side length of the leg with l, and the side length of the notch with n.
So, the expression that represents the volume of one table leg is:
[tex]V = l^3 + n^3[/tex]
(b) The length of the sides
From the question, we have:
[tex]n = 40\% \times l[/tex]
Express 40% as decimal
[tex]n = 0.40 \times l[/tex]
[tex]n = 0.4l[/tex]
Substitute 0.4l for n in [tex]V = l^3 + n^3[/tex]
[tex]V =l^3 + (0.4l)^3[/tex]
[tex]V =l^3 + 0.064l^3[/tex]
[tex]V =1.064l^3[/tex]
The volume of the 4 legs is given as: 12636
So, the volume of one leg would be 12636/4
So, we have:
[tex]1.064l^3 = \frac{12636}{4}[/tex]
[tex]1.064l^3 = 3159[/tex]
Divide both sides by 1.064
[tex]l^3 = 2968.985[/tex]
Take cube roots of both sides
[tex]l = 14.37[/tex]
Hence, the sides of the legs is 14.37 inches long
Read more about volumes at:
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At Health Hair, the cost of a children's haircut, x , is $4 and the cost of an adult haircut, y , is $14. The sales from Friday were $568. There were 42 haircuts in all.
Write a system to represent the situation.
AND
Solve the system and interpret the answer.
Your Answer:
Answer:
[tex]x + y = 42,[/tex]
[tex]4x + 14y = 568,[/tex]
[tex]x = 2, y = 40[/tex]
Step-by-step explanation:
Learn the FULL explanation at: https://brainly.com/question/25629296
Here ya go bestie. Your favorite :D
Answer:
the answer is d
Step-by-step explanation:
Find the product of (4z2 7z â€"" 8) and (â€""z 3). The product of (4z2 7z â€"" 8) and (â€""z 3) is â€""4z3 z2 z â€"" 24.
The product of both functions using the distributive law is [tex]-4z^3 + 5z^2 + 29z - 24[/tex]
We are to find the product of (4z^2+7x-8) and (-z+3)
Product = (4z^2+7z-8)(-z+3)
Using the distributive law:
[tex]P =4z^2(-z) + 4z^2(3) + 7z(-z) +7z(3)-8(-z) -8(3)\\P = -4z^3 + 12z^2 - 7z^2 + 21z + 8z - 24\\P = -4z^3 + 5z^2 + 29z - 24[/tex]
Hence the product of both functions using the distributive law is [tex]-4z^3 + 5z^2 + 29z - 24[/tex]
Learn more on product of functions here: https://brainly.com/question/25638609
How do I do that I need desperat help pls
9 because 12 + is greater than/equal to 9+3
the square roots of 8 and 2
Answer:
4.82842712475
Step-by-step explanation:
hope you get it
It is 4.82842712475
I used a calculator
PLEASE HELP WILL MARK BRAINEST!!!
they biked 220 kil
that is the answer
Answer one question. Thanks
Help please Pretty plz
Answer:1/10
Step-by-step explanation:
Start by multiplying 1/100 by 1/10
The answer will be 1/1000
please answer the two question and how you answered it NO LINKS AND NO WEBSITES I really need help with tthis, and also if it's Substitution or linear combination.
Answer:
(x, y) = (6, 8) using linear combination
Step-by-step explanation:
The coefficients of the x-terms are opposites of each other (2 and -2), so the x-terms can be eliminated using a linear combination of the equations.
Adding the two equations together gives ...
(2x -y) +(-2x +3y) = (4) +(12)
2y = 16 . . . . . . . . simplify
y = 8 . . . . . . . divide by 2
Substituting for y in the first equation gives ...
2x -8 = 4
x -4 = 2 . . . . . divide by 2
x = 6 . . . . . . . add 4
The solution is (x, y) = (6, 8).
what number is 100`000 more than seven hundred two thousand eight three
Answer:
802,083
Step-by-step explanation:
does anyone know how to do this?
Answer:
x = 1y = -7Step-by-step explanation:
The coefficients of x and y do not have any "nice" relations, so doing this by elimination is just "brute force" with no particular subtlety.
After multiplying by appropriate numbers, you want the coefficient of one of the variables in one equation to be the opposite of the coefficient of the same variable in the other equation. Here, we can get that by multiplying the first equation by 7 and the second equation by 2.
7(2x +3y = -19) ⇒ 14x +21y = -133
2(-7x +2y = -21) ⇒ -14x +4y = -42
Adding these equations with opposite x-coefficients eliminates the x-terms. (That is how the "elimination" method gets its name.)
(14x +21y) +(-14x +4y) = (-133) +(-42)
25y = -175 . . . . . . . . simplify
y = -7 . . . . . . . . . . . divide by 25
Substituting this value into the first equation gives ...
2x +3(-7) = -19
2x = 2 . . . . . . . . . add 21
x = 1 . . . . . . . . . divide by 2
The solution is x = 1, y = -7.
_____
Additional comment
The multipliers used in this process are essentially the coefficients of one of the variables, with one of them negated. Here, we chose the x-coefficients, because negating one of them gives two positive multipliers. We judge it easier to do the arithmetic using positive numbers.
Had we chosen to use the y-coefficients (3 and 2) for our multipliers, we would probably multiply the first equation by 2, and the second equation by -3. That way, the remaining x-coefficient would be positive.
Planning ahead is helpful, but not essential. It can help to avoid errors and make the work easier to do.
Name an angle adjacent to FGI
JGI
HGJ
DGE
HGE
Answer:<JGI
Explanation:
Any angle with the letter H can not be as it is on the opposite side. Leaving you with <JGI and <DGE. <DGE is beside angles DGF and angle EGH
Hope this helps.
The adjacent angle of the angle ∠FGI will be ∠JGI. Then the correct option is A.
What is an angle?The inclination is the separation seen between planes or vectors that meet. Degrees are another way to indicate the slope. For a full rotation, the angle is 360 °.
An angle is a structure in Euclidean geometry made up of two rays that share a common terminal and are referred to as the angle's sides and vertices, respectively. Angles created by two rays are on the plane where the rays are located.
Adjacent angle - In math, two points are nearby in the event that they have a typical side and a typical vertex.
From the figure, the contiguous point of the point ∠FGI will be ∠JGI. Then the right choice is A.
More about the angled link is given below.
https://brainly.com/question/15767203
#SPJ2
Choose the point-slope form of the equation below that
epresents the line that passes through the points (-6, 4) and (2,
0). (2 points)
•y -4= - 1/2 (x+6)
•y-4= 2(x+6)
•y+6= - 1/2(x-4)
•y+6= 2(x-4)
Answer:
A) y-4=-1/2(x+6)
Step-by-step explanation:
m=(y2-y1)/(x2-x1)
m=(0-4)/(2-(-6))
m=-4/(2+6)
m=-4/8
simplify
m=-1/2
y-y1=m(x-x1)
y-4=-1/2(x-(-6))
y-4=-1/2(x+6)
Find the area of a garden with a length of 3 1/2 yards and a width of 2 2/3 yards
Answer:
2.33 yards
Step-by-step explanation:
3 1/2-3.5
2/3-0.66
0.66 x 3.5 = n
The price of a computer is first reduced by 10% and after a while by another 20%. Who is right? Explain how you are thinking.
Almir: In total, the price has been reduced by 30%.
Bodil: The reduction is less than 30%. Viktor: The price has been reduced by more than 30%.
if u reduced the price by 10% first it would go from 100% to 90%
20% of 90 is 18
at the end the price is 72% of the original price.
Bodil is correct. The reduction is less than 30%.
I need answers to these questions
Answer is in the attached file...
0.737 ___ 0.708
0.708 > 0.737
0.737 = 0.708
0.737 < 0.708
0.737 > 0.708
Answer:
0.737>0.708
Step-by-step explanation:
it must me d because 0.737 is greater than 0.708 and it's the only true Statement
one of 50 states is chosen at random. What is the probability of not choosing a state that begins with the letter n?
Answer:
8 states start with the letter N. Because you’re looking for the amount of states not starting with the letter N, we’ll subtract 8 from 50. Then you’ll put that over the total amount of states. So you should end up with 42/50 which will simplify to 21/25. Hope this helped!
Step-by-step explanation:
If Mrs. Hill takes out a mortgage for $80,000 with a 4% interest rate, what will her interest be after 20 years? Help ASAP I’ll give so much points!
Answer:
After 20 years, Mrs. Hill is owed $144,000.Step-by-step explanation:
Using PRT/100, we can find the interest Mr. Hill has to pay extra.=> 80000 x 4 x 20/100=> 800 x 4 x 20=> 3200 x 20=> 64000Total amount to pay: $144,000Conclusion:
Therefore, after 20 years, Mrs. Hill is owed:
$144,000.Hoped this helped.
[tex]GeniusUSer[/tex]
Write 8% as a fraction or mixed number in simplest form.
please help me
Do it quickly please for brainliest
Step-by-step explanation:
x/(2x - 4) - (2x - 11)/(x + 2) = 5/8x/(x - 2) - (4x - 22)/(x + 2) = 5/4x(x + 2) - (4x - 22)(x - 2) = 5/4(x + 2)(x - 2)4(x² + 2x - 4x² + 8x + 22x - 44) = 5(x² - 4)4(-3x² + 32x - 44) = 5x² - 20- 12x² + 128x - 176 - 5x² + 20 = 0- 17x² + 128x - 156 = 017x² - 128x + 156 = 0x = (64 ± 38)/17x = 6 or x = 26/17
simplify 4 (5x+3)-4x
Answer:
16x + 12
Step-by-step explanation:
20x + 12 - 4x
20x - 4x = 16x
16x + 12
Answer: 15x + 12
Step-by-step explanation:
(4 x 5x). (4 x 3). (20x - 4x). 15x + 12 is your answer.
Which pairs of figures are congruent? Which pairs are similar?
Answer: Look at the explanation
Step-by-step explanation: To understand what figures are congruent and what figures are similar, you need to understand what the terms mean.
Congruent figures have the same shape and size.
Similar figures have the same shape but different size.
The 1st figure is not congruent but it is similar.
2nd figure is congruent and similar which are rectangles. Wheather the figure is rotated or reflected, it is still congruent and similar.
3rd figure is both, congruent and similar which are both triangles.
4th figure is neither. There is a circle and an elipse, which are both round but different shapes.
By knowing the terms congruent and similar, you should have no problem in identifying geometric shapes and sizes.
Hope this helps. Happy learning!
The difference of x and 15 is 62. Solve for x
Answer:
x is either 77 or -47
Step-by-step explanation:
Answer: either 77 or -47
Step-by-step explanation:
please !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!
Joe purchases a tray of 48 flowers to plant in his garden. He plants 3 flowers every minute. He can plant the entire tray in 16 minutes.
When setting up a graph to model how many flowers he plants over time, what would be an appropriate scale for the x-axis (horizontal axis)?
Question 10 options:
0 - 48
0 - 3
16 - 48
0 - 16
Answer:
B im very sorry if im wrong <3
Step-by-step explanation:
Answer:48
Step-by-step explanation:Required equation is y - 36 = (24 - 36)/(2 - 1) (x - 1)
y - 36 = -12(x - 1)
y - 36 = -12x + 12
12x + y = 12 + 36
12x + y = 48
Please someone help meee! It’s advanced algebra
Answer: I think it would be 80 feet I hole I’m correct.
Step-by-step explanation: So to explain 20 + 50 is 80 and that’s how I got the answer I am not 100% sure but I wanted to help you :-)
Solve for xx. Leave your answer in simplest radical form.
Answer:
x²
Step-by-step explanation:
Answer:
6
Step-by-step explanation:
plass help brainlist if possible compare 9/10 and 7/5
Answer:
9/10 < 7/5
Step-by-step explanation:
7/5 = 14/10
9/10 < 14/10
Answer:
7/5 is greater than 9/10
Step-by-step explanation:
7/5 = 14/10
Help for points and Ill give brainliest to correct!
Answer:
D. 3 1/4
Step-by-step explanation:
Answer:
your answer would be D.
Step-by-step explanation:
all you have to do for this equation is subtract the whole numbers to get 3. and then subtract the fractions, you would get 2/8, then you would simplify it and get 1/4.
add the quotient of 9 and 7 to d
Answer:
9 ÷ 7 + d.
Step-by-step explanation:
