A large wooden box, as shown, has a volume of 4352 ft3. The box is a right square prism with a base with sides that each measure 16 ft. What is h, the height of the box?
To find the volume of a prism, we can use the following formula:
[tex]V=base\hspace{3}area*height[/tex]
Although this formula is typically used to find the volume of a prism, we can also use it to find the base area or height, as long as we re-arrange it accordingly.
For a rectangular prism, the base area is solved using the following formula:
[tex]A=lw[/tex] ⇒ where l is the length and w is the width
Solving the QuestionWe're given:
V = 4352 ft³l = 16 ftw = 16 ftWe need to solve for the height of the box.First, find the base area:
[tex]A=lw\\A=16^2\\A=256[/tex]
Therefore, the base area is equal to 256 ft².
Now, modify the volume formula to isolate the height:
[tex]V=base\hspace{3}area*height[/tex]
⇒ Divide both sides by the base area:
[tex]\dfrac{V}{base\hspace{3}area}=\dfrac{base\hspace{3}area*height}{base\hspace{3}area}\\\\\dfrac{V}{base\hspace{3}area}=height\\\\height=\dfrac{V}{base\hspace{3}area}[/tex]
⇒ Plug in the given values:
[tex]height=\dfrac{4352}{256}\\\\height=17[/tex]
Therefore, the height of the box is 17 ft.
AnswerThe height of the box is 17 ft.
Answer:
17
Step-by-step explanation:
plss help me plss #3
It’s system of equations
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Complete the solution of the equation. Find the
value of y when x equals 0.
-7x + 3y = 30
Enter the correct answer.
000
DONE
Clear all
+
Hello!
Let's consider what the question asks for
--> value of 'y' when 'x = 0'
-7x + 3y = 30
Let's plug in '0' into x and solve for 'y'
[tex]-7x+3y=30\\\\-7(0)+3y=30\\\\y=10[/tex]
Thus y = 10 when x = 0
Answer: 10
We are given the equation:
[tex]\rm{-7x + 3y = 30}[/tex]To find the value of y when x equals 0, we need to substitute 0 for x in the equation and solve for y:
[tex]\rm{-7(0) + 3y = 30}[/tex]Simplifying the equation:
[tex]\rm{3y = 30}[/tex]Dividing both sides by 3:
[tex]\boxed{\rm{y = 10}}\quad\green{\checkmark}[/tex][tex]\blue{\overline{\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad\qquad}}[/tex]
QUICK PLZZZZ. |n-3|=5 solve the equation
Answer:
Step-by-step explanation:
-31 cannot equal 5 so the equation is false.
Answer:
n=8
Step-by-step explanation:
So, |n-3| means that the expression, n-3, is an absolute number (which is the difference from zero; just take off the negative sign if it has one)
Because the left side of the equation, 5, is a positive number, you would know that the equation can be solved by:
n-3=5 add 3 to both sides
n=8
You should also know that the absolute number (shown using | |) is not a negative number. (well, as long as the n is a real number)
Hope that helps!!!
y = 5x+p point (-2, 1) p=?
How do I solve for y ?
Answer: 52
Step-by-step explanation:
Please help me ASAP
( I will mark brainliest )
Answer:
13.01d − 2.65
The liked terms are "3.26d + 9.75d". Just add them accordingly.
Hellllllllllpppppppp
Answer:
C
Step-by-step explanation:
Translate up & left then reflect over y axis.
Answer:
C
Step-by-step explanation:
First you have to translate up and then left, then reflect over the y axis.
For an object whose velocity in ft/sec is given by v(t) = −t2 + 2, what is its displacement, in feet, on the interval t = 0 to t = 2 secs?
1.333
2.438
2.667
−4
Answer:
1.333
Step-by-step explanation:
Distance travelled (or displacement) will be the antiderivative of Velocity.
Antiderivative of -t^2 + 2 =
d(t) = -t^3/3 +2t
Now plug in t=2 and t=0 and subtract them.
(-8/3+4)- (0/3 +0)= -8/3+4 = 1.333
Answer:
1.333
Step-by-step explanation:
We know that the displacement function is the integral of the velocity function. We are also given our bounds, 0 seconds to 2 seconds.
x(t) = [tex]\int\limits^2_0 {t^{2} +2} \, dt[/tex] = -t³/3 + 2t (evaluated from zero to two)
= [-2³/3 + 2(2)] - [-0³/3 + 2(0)] = 4/3 = 1.333...
Bob is buying the soccer team snacks after their game eight players want cookies and five players want ice cream if the ice cream cost $1.25 each and cookies cost $1.75 each how much will Bob spend on snacks for the team
Answer:
the total cost would be $20.25
Step-by-step explanation:
a formula one racecar driver estimates that he needs to maintain an average speed of 113 miles per hour in order to set a new lap record on an Australian racetrack. since australia uses si units, the average speed will be reported to the driver in kilometers per hour. if the driver successfully maintained an average speed of 113 miles per hour during the lap, what would the report show as his average speed in kilometers per hour? round your answer to the nearest hundredth
Answer:
181.82 km/h
Step-by-step explanation:
1 mile = 1.609 km
so 113 miles/hour = 113 * 1.609 = 181.82 km/h
Which graph represents the following system of inequalities? y < -3x+5 y < x+2 y < -1
Answer:
The attached graph represents the system
Step-by-step explanation:
Let us describe the graph of each line
In y < -3x + 5
∵ The sign of inequality without =
∴ The line represents it must be dashed
The slope-intercept form of the inequality is y < m x + b, where m is the slope and b is the y-intercept
∵ y < -3x + 5
∴ m = -3 and b = 5
∴ The direction of the line is to the left and intersect the y-axis at (0, 5)
∴ y < -3x + 5 represented by the green line
∵ The sign of inequality is <, then the shading is under the green line
In y < x + 2
∵ The sign of inequality without =
∴ The line represents it must be dashed
∴ m = 1 and b = 2
∴ The direction of the line is to the right and intersect the y-axis at (0, 2)
∴ y < x + 2 represented by the blue line
∵ The sign of inequality is <, then the shading is under the blue line
In y < -1
∵ The sign of inequality without =
∴ The line represents it must be dashed
∴ m = 0 and b = -1
∴ The line is horizontal and intersects the y-axis at (0, -1)
∴ y < -1 represented by the red line
∵ The sign of inequality is <, then the shading is under the red line
∵ The shading of the three inequalities is under the lines
∴ The solutions of the system of inequalities lie in the common
shaded part under the three lines
∴ The attached graph represents the system
The graph was plotted and is attached below.
Inequality is the unequal comparison of numbers or expressions.
Given the inequalities: y < -3x+5, y < x+2, y < -1
Graphing the above inequalities using the geogebra online graphing calculator.
The graph is attached below.
Find out more at: https://brainly.com/question/25285332
What is .64 2/3 in fraction form?
Answer:
32/75 in fraction form 0.426 in decimal
Step-by-step explanation:
0.64 2/3
convert tge decimal into a fraction = 64/100 reduce/simplify to 16/25
64 ÷ 4 = 16
___
100 ÷ 4 = 25
16/25 × 2/3 = 32/75
16 × 2 = 32
___
25 × 3 = 75
The simplified fraction form of .64 2/3 is 66/75. To convert the mixed number .64 2/3 to fraction form, we need to combine the whole number part and the fractional part.
The whole number part is 0.64, and the fractional part is 2/3.
To combine them, we multiply the whole number part by the denominator of the fraction and then add the numerator. Then, we put the result over the denominator.
Step 1: Convert the decimal to a fraction.
0.64 = 64/100
Step 2: Combine the whole number part and the fractional part.
0.64 2/3 = 64/100 + 2/3
Step 3: Find a common denominator (the least common multiple of 100 and 3 is 300).
0.64 2/3 = (64/100) + (200/300)
Step 4: Add the fractions.
0.64 2/3 = (64/100) + (200/300) = 264/300
Step 5: Simplify the fraction, if possible.
264/300 can be simplified by dividing both the numerator and denominator by their greatest common divisor (GCD), which is 4.
264 ÷ 4 = 66
300 ÷ 4 = 75
So, the simplified fraction form of .64 2/3 is 66/75.
To know more about fraction form:
https://brainly.com/question/24601631
#SPJ2
What is the following product?
Answer:
The answer is the last question (7x to-the-power-of 2 - 72)
Step-by-step explanation:
7x²+72 -6x√56
7x²+72-6x√(14×4)
7x²+72-12x√(14) because√(14×4)=2√14
A restaurant manager bought a case of 12 bottles of water. He paid 90p per bottle. He sold 1/4 of the bottles for £2.10 per bottle and the rest of the case for £2.40 per bottle. a) How much profit did he make? b) Write the profit as a percentage.
Step-by-step explanation:
12 bottles for 0.90 per bottle = 12×0.90 = £10.80 as initial cost.
1/4 of 12 = 12×1/4 = 12/4 = 3 bottles
so, 3 bottles are sold for £2.10 per bottle = 3×2.1 = £6.30
the rest (12-3) 9 bottles are sold for £2.40 per bottle = 9×2.4 = £21.60
so, the total sales was 6.3 + 21.6 = £27.90.
the profit is then sales minus initial cost :
27.9 - 10.8 = £17.10
1% of the initial cost is 10.8/100 = 0.108
how often does 1% fit into the total profit ?
17.1/(10.8/100) = 17.1×100/10.8 = 158.3333333...%
so, the profit is 158.3333333...% of the initial cost.
Help plz and thank u
Answer:
Rate of Change is 2
Step-by-step explanation:
The y values are changing by 4
The x values are changing by 2
Rate of change = Change of y/Change of x
4/2=2
Find the amount of tax owed: vacant land valued at $500,000.00; assessed at 18%; taxed at $6.50 per hundred dollars worth of property
Answer:
7
Step-by-step explanation:
Which fraction correctly represents one whole?
Answer:
7/7
I hope that helped! :)
Answer:
7/7
Step-by-step explanation:
to have a whole you must have the same numerator and denominator because its a fraction split into portions so if you have a cake thats split into 10 pieces if you got rid of a piece it would no longer be a whole it would be 9/10 of the cake so use that for the future
Select multiples of 4. You will select three.
2
4
22
36
42
48
Answer:
Multiples of 4 are the following:
43648Step-by-step explanation:
2 is a factor of 4, not a multiple. The rest of the numbers listed are multiples of 2. But only the 3 listed above are multiples of 4.
Answer:
4,36,48
Step-by-step explanation:
The multiples of 4 is: 36,48,and 4 because there all in the multiplication chart.
*Please give brainliest*
Everyone in Arianna's family takes a turn making a special dinner. This week, Arianna made a pan of her brother's favorite vegetable lasagna. The lasagna came out shaped like a rectangular prism that is 13 inches long, 9 inches wide, and 1
1
2
inches tall. Arianna cut the lasagna into 12 equal pieces and served the first piece to her brother.
What is the volume of the piece of lasagna Arianna served to her brother?
Write your answer as a whole number, proper fraction, or mixed number.
Answer:
13 times 1 1/2 is 19 1/2 and 19 1/2 times 9 is 175 1/2 and 175 1/2 divided by 12 is 14 5/8 so the answer is 14 5/8
Step-by-step explanation:
Using the cross multiplication method, which of the following is the solution to 1/(x+1) = 17/(x+2)?
Answer:
x = -15/16
Step-by-step explanation:
see image.
Cross-multiply and combine like terms. Finally divide to get x all by itself.
see image.
7/8 × 5/4 what is the answer please
Answer:
[tex]\frac{35}{32}[/tex]
Step-by-step explanation:
1. (7/8) * (5/4)
2. (7)(5)
(8)(4)
Bonus : 35/32 as a decimal is 1.09375
Awnser provided by Education Point
the function f(x) = 1/(x+1) is never equal to 0. true or false?
your answer is false
your welcome
Answer:
True
Explanation:
Any real numbers can equal 0 except 1.
Help me find the correct answer
Answer:
Step-by-step explanation:
Pay attention to the coordinates.
Because you are asked to find the perimeter, you need to determine the length of each side.
If the line is horizontal - you look at the x-coordinates. What's the distance between point A to point C?
For the diagonal sides you can use this formula:
d = Square root[( x 2 − x 1 ) ^2 + ( y 2 − y 1 ) ^ 2]
Gabriella is buying a pair of sneakers for $74.95. She has a coupon that will take $17.50 off the price of the sneakers.
How much will Gabriella pay for her sneakers after the discount?
$57.44
$56.45
$57.45
$56.65
Which fraction is equivalent to 5/12 + 2/3
Answer:
5/12 + 8/12 = 13/12 = 1 1/12
Step-by-step explanation:
This is the answer because:
1) You have to add the fractions, in order to add the fractions you have to find the common denominato.
2) The common denominato is 12 because 2 x 4 = 8 and 3 x 4 = 12. Therefore, 2/3 = 8/12.
3) Finally, once you add 5/12 and 8/12, you should get 13/12 which is also equal to 1 1/12.
Hope this helps! :D
If 7 notepads cost $4.55, what is the unit price of the notepads?
Answer:
[tex]0.65[/tex]
Step-by-step explanation:
Given the following question
7 notepads cost $4.55 what's the unit price?
Unit price is price per unit, we find the price per unit by dividing the total cost of the notepads by the total amount of the notepads which is 7.
[tex]unitp=cost\div quantity[/tex]
[tex]7n=4.55[/tex]
[tex]4.55\div7=0.65[/tex]
[tex]=0.65[/tex]
The unit price of the seven notepads is "$0.65."
Hope this helps.
Find the diameter of a circle with an area of 30.25 pi.
Answer:
11
Step-by-step explanation:
Radius = R, Diameter = D
Area of a circle A = πR² = π(D/2)² = πD²/4
so D² = 4A/π = 4*30.25π/π = 121
[tex]D=\sqrt{121} = 11[/tex]
find the measure of CF
Answer:
the exponent of c is vertex to the exponent of C and theme I can solve and finder the digress of 62 and the 47...and then over tool git your toler and the whole number of mCF= 1.89 degrees
Answer:
the exponent of c is vertex to the exponent of C and theme I can solve and finder the digress of 62 and the 47...and then over tool git your toler and the whole number of mCF= 1.89 degree.
step-by-step explanation: