On solving the provided question, we can say that Volume of cuboid = 2x(3x+4)(3x-4)
Volume = [tex]18x^3 + 48x^2 + 32x[/tex]
what is cuboid?A cuboid is a solid or three-dimensional form in geometry. A cuboid is a convex polyhedron having 8 vertices, 12 sides, and 6 rectangular faces. Another name for a cuboid is a cuboid. A cube is a cuboid with six square faces. Boxes include things like books and bricks. The following are the key variations between cubic and cubic: In contrast to a cube, which has rectangular faces, a cube has six equally sized square faces. Even though the cube and cuboid structures have a similar appearance, they differ in some ways in terms of side length, diagonal, and area.
here,
we have a cuboid
Volume of cuboid = 2x(3x+4)(3x-4)
Volume = [tex]18x^3 + 48x^2 + 32x[/tex]
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the perimeter if a square is 60 feet, then find the length of the diagonal. if necessary, round to the nearest tenth.
a). 21.2
b). 15
c). 450
d). 30
Answer:
a). 21.2
Step-by-step explanation:
square has 4 sides
one side = 60÷4 = 15
Use pythogoras theorem to find the hypotenuse thus the diagonal of the square.
x = √(15² + 15²)
x = √(225 + 225)
x = √450
x = 21.21 (2 dp)
what is the answer to 2 - (-5)
Answer:
7
Step-by-step explanation:
Answer:
7
Step-by-step explanation:
learn the table of how these symbols work.
in this case its two minuses which make plus so 2+5=7
A 15-ft by 15-ft rectangular swimming pool is surrounded by a walkway of uniform width. If the total area of the walkway is 304 ft^2, how wide is the walkway?
Answer:
4 ft = width of walkway
Step-by-step explanation:
It helps if you can draw a figure.
Let x = width of walkway
Length of pool + walkway = (2x + 15)
Width of pool + walkway = (2x + 15)
area of pool and walkway together = (2x + 15)(2x + 15) = [tex]4x^{2} = 60x + 225[/tex]
Area of the pool = 15(15) = 225
Now,
The area of the walkway = area of pool and walkway together - area of pool
304 = 4[tex]x^{2}[/tex] + 60x + 225 - 225
304 = [tex]4x^{2}[/tex] + 60x
4[tex]x^{2}[/tex] + 60x - 304 = 0
4([tex]x^{2}[/tex] +15x - 76) = 0
4(x - 4)(x + 19) = 0
x = 4 x = -19
-19 must be discarded because a length cannot be negative
Therefore x = 4 ft = width of walkway
Tommy buys a football for $20 plus 8% tax John buys a helmet for $25 plus 8% tax what is the difference in the amount Tommy and John paid including tax
Answer:
$5.40
Step-by-step explanation:
First, figure out the cost of the items with tax; for Tommy we have 20*0.08 = 1.6, add that 1.6 to the 20 and his purchase is $21.6, for John we have 25*0.08 = 2, add 2 to his 25 and his purchase is $27. To find the difference we subtract 27-21.6 = 5.4 or $5.40
how to do Pythagorean Theorem
Answer:
pythagorean theorem is a^2 +b^2=c^2
Step-by-step explanation:
basically the two shorter sides added together squared is equal to the longest side squared. if trying to find the length of the longest sidee you just have to do the square root of a^2+b^2
133=7(1+2x) solve
Answer ASAP please
Answer:
x=9
Step-by-step explanation:
Step-by-step explanation:
133=7+14x
133-7=14x
14x=133-4
14x=129
14x=129
14 14
x=129
14
The Sum Of A Number And Six
Answer:
x+6
Hope this helps! :)
Answer:
The sum of a # and 6 is...
Step-by-step explanation:
It’s at 15??
URGENT PLEASE HELP ASAP
AHAHAHAHAHAHA SO JM IS EQUAL TO 29⁰ AND YOU NEED TO FIND ANGLE L BUT I DON'T KNOW WHAT IT EQUALS TO
A man is cycling in a place where wind is blowing. He travels 12 km against the direction of the blowing wind. In doing so, he took the same time while going 28 km in the direction of the wind. Find the speed of the wind. ( Hint - When the man is cycling in the direction of the wind, wind speed is added to his speed; otherwise it is subtracted.)
Answer:
The speed of the wind is 4.8 km/hr
Step-by-step explanation:
The parameters of the motion of the man are;
The distance the man travels in the given time while moving against the wind = 12 km
The distance the man travels in the giving time while going with the wind = 28 km
From search online for of a similar question, we have;
The speed with which the man is cycling = 12 km/hr
Let. 't', represent the time the travels each distance, let 'w', represent the speed of the wind and let 'v' represent the speed of the man, we have;
Time, t = Distance, d/(Velocity, v)
The resultant speed of the man when he travels against the wing = v - w
The resultant speed of the man when he goes in the the wing = v + w
Therefore, we have;
12/(v - w) = 28/(v + w)
12·v + 12·w = 28·v - 28·w
12·w + 28·w = 28·v - 12·v = 16·v
40·w = 16·v
∴ w = (16/40) × v = (2/5) × v
The speed with which the man is cycling = 12 km/hr
∴ The speed of the wind, w = (2/5) × v = (2/5) × 12 km/hr = 4.8 km/hr
The speed of the wind = 4.8 km/hr.
Find the value of x:
A. X = 41.0
B. X = 122.0
C. X = 61.0
D. X = 120.5
Step-by-step explanation:
hope this will help you..
choices
3/4
3/5
5/4
4/5
Answer:
4/5
Step-by-step explanation:
sine is opposite over hypotenuse,
so it's 40/50=4/5
Daryl jumped off of a diving board, and dove into a pool. The graph below shows his height relative to the surface of the water over time, where Daryl’s height (y) is measured in meters and time (x) is measured in seconds. Which of the following statements are true? (Please select all options which are true.)
Answer:
B,D,E
Step-by-step explanation:
Not entirely sure
What time is it in Vietnam right now?
Answer:
it's
3:26 pm to be exact!
Step-by-step explanation:
15:26
Friday,19February 2021
I hope it's helpful!
-30-0.6k
what does k equal?
Answer:
K would equal to:
K= 50
Hope that helps! :)
Step-by-step explanation:
Solve for x
x^2 - 7x + 10 = 0
Answer:
Step-by-step explanation:
x²-7x+10=0
(x-2)(x-5)=0
x=2 or x=5
Answer:
Step-by-step explanation:
x2−7x+10=0
Step 1: Factor left side of equation.
(x−2)(x−5)=0
Step 2: Set factors equal to 0.
x−2=0 or x−5=0
x=2 or x=5
(You can confirm this by plugging in the numbers yourself)
A chemical solution contains 4% alcohol. If there is 24 ml of alcohol, what is the volume of the solution?
Answer: 600 ml
Step-by-step explanation:
Let the volume of the solution be represented by x.
Therefore, we can form an equation based on the information given which will be:
= 4% × x = 24.
4/100 × x = 24.
0.04 × x = 24
0.04x = 24
x = 24/0.04
x = 600
The volume of the solution is 600ml
Give me the slope for the following points (9, 10)
and (7,2)
The answer is
m = 4
Have a great day!!!
Answer:
4 is the slope
Step-by-step explanation:
We know this by using the slop formula, which is y2-y1/x2-x1
We just plug in the points that we know and solve from there,
Give brainliest please :3
anyone knows the answer?
Answer:
20 miles
Step-by-step explanation:
x = break even miles
$10 + x($1.50 = x($2.00)
10 + 1.5x = 2x
0.5x=10
x = 20 miles
Henry drove 567 miles in 9 hours. At the same rate, how long would it take him to drive 315 miles?
Answer:
in one hour = 567÷9
= 63
hence, to drive 315 miles he would need = 315×63 hours
divide yourself my dear friend.
Was it helpful?
comment down
If there is any kind of suspicious mistake
then sorry
Answer:
5 hours.
Step-by-step explanation:
567/9 = 63mph
315/63 = 5
Jessica and her friends have gone to dinner. When they finished eating their bill came to $82. Jessica decided that she wanted to give a 19% tip
Answer:
97.58
Step-by-step explanation:
Answer: D $15
Step-by-step explanation:
What is the slope-intercept equation of the line below?
Answer:
D. y = 2x -3
Step-by-step explanation:
The equation of a line in slope-intercept form is
y = mx + b
We need to find m, the slope, and b, the y-intercept.
We can find those two numbers from the graph.
We look in the graph and see that the y-intercept, b, is -3.
Now we have y = mx - 3.
Now we look for the slope. Start at (0, -2). We need to go vertically and horizontally to the next point that is easy to read. We see that point (1, -1) is on a grid intersection making it easy to read, so we will use that point.
Go up 2 units. That is a rise of positive 2. Now go right 1 unit. That is a run of positive 1.
slope = rise/run = 2/1 = 2
m = 2, so now we have
y = 2x - 3
Answer: D. y = 2x -3
A ring-shaped region is shown below. Its inner radius is 8m, and its outer radius is 11m. 8m 11m Find the area of the shaded region. Use 3.14 for π. Do not round your answer.
Answer:
329.91 cm^2
Step-by-step explanation:
A ring-shaped region is shown below. Its inner radius is 8m, and its outer radius is 11m. 8m 11m Find the area of the shaded region. Use 3.14 for π. Do not round your answer.
Your answer
Given data
inner radius= 8cm
area= πr^2
area= 3.142*8^2
area= 3.142*16
area= 50.272 cm^2
outer radius= 11cm
area= πr^2
area= 3.142*11^2
area= 3.142*121
area= 380.182 cm^2
Hence the area of the shaded part is
=380.182-50.272
=329.91 cm^2
Grace and her brother Sid want to raise money to go to band camp. Their parents have agreed to help them up to $400 by paying them $25 when one of them mows the lawn and $10 for each hour that one of them babysits their younger brother. They will have to do a combination of both chores in order to earn the money.
Select the equation that represents the number of lawns they can mow, m, and hours they can babysit, b, to earn $400.
Step-by-step explanation:
25m + 10b = 400
not enough info to solve for m or b. but that's the equation you would use.
Olivia has at most 90$ to spend on clothes she wants to buy a pair of jeans for 22$ and spend the rest on shirts that cost 8$ each what is the greatest number of shirts she can buy
Answer:the greatest number of shirts she can buy = 8
Step-by-step explanation:
Amount of money Olivia has =$90
cost of pair of jeans =$22
such that if she buys the pair of jean, Money left to buy shirts = $90-$22= $68
If 1 Shirt= $8
Number of shirts she can buy with $68 = $68/$8= 8.5= 8 1/2
Therefore the greatest number she can buy = 8 shirts.
please help me find the slope and y intercept! i’m the worst at math, i’d really appreciate it <333 (click on photo)
Answer:
3.) y-int = 0
4.) y-int = -1
5.) slope = 2
y-int = 4
6.) slope = -1
y-int = -6
7.) slope = 5
y-int = 8
8.) slope = 7
y-int = 1/2
Step-by-step explanation:
basically, you want to get each of your functions in terms of (y = mx + b)
for each of these:
m will be your slope
b will be your y-intercept
Un cable de 42 pies se corta en 3 tramos. Si cada tramo tiene 2 pies de longitud más que el anterior; calcular la longitud del tramo mayor.
Answer:
dividimos los 42 dejando 12 para cada 1 sobran 6 pies para el primero le aumentamos 4 al segundo 2 y el ultimo se quedaria asi y asi tendria 2 pies de longitud mas que el anterios y el mas largo tendria 16 pies el mediano 14 y el mas pequeño 12
simplify: 4 (3y +x) please show your work
Answer:
12y+4x
Step-by-step explanation:
Multiply 4*3y and 4*x
Distributive property
Use the graph of the polynomial function to find the factored form of the
related polynomial. Assume it has no constant factor.
5
A. (x + 1)(x - 7)
B. (x + 1)(x + 7)
C. (x - 1)(x - 7)
D. (x - 1)(x + 7)
Answer:
The answer is
(x-1) (x-9)
The factored form of the related polynomial function is [tex](x-1)(x+7).[/tex]
What is polynomial function ?Polynomial function is a function that involves non-negative integer powers or positive integer exponents of a variable in an equation like the quadratic equation, cubic equation.
We have,
In the graph given in question, we can see that [tex]x-[/tex]intercepts the axis twice.
And graphs behave differently at various [tex]x-[/tex]intercepts. Sometimes the graph will cross over the [tex]x-[/tex]axis at an intercept and other times the graph will touch the [tex]x-[/tex]axis and bounce off.
Now, in graph;
The [tex]x-[/tex]intercept at [tex]x=1[/tex], i.e. the solution of the [tex]x-1=0[/tex] and passes through the axis.
Now,
The [tex]x-[/tex]intercept at [tex]x=7[/tex] is the solution of [tex]x-7=0[/tex] and again passes through the axis.
So, from the above statements we can say that the factored form of the related polynomial is [tex](x-1)(x+7).[/tex]
Hence, we can say that the factored form of the related polynomial function is [tex](x-1)(x+7).[/tex]
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Necesito ayuda con el punto 4
10 - 20 - 20 - 20 -20 2- + 1000
Answer:
928
Step-by-step explanation:
Answer: It would be 1252