Three faces of a rectangular prism have areas 32 cm?, 40 cm?, and 20 cm? a) find the surface area of the prism. b) what are possible dimensions of the prism? how do you know? c) sketch and label the prism.
Answers
Answer:
Surface Area: 5440
Step-by-step explanation:
Volume: 25600
Surface Area: 5440
Work Volume
V = lwh
V = (32)(40)(20)
V = 25600
Work Surface Area
A = 2(wh + lw + lh)
A = 2( 40(20) + 32(40) + 32(20) )
A = 2(800 + 1280 + 640)
A = 2(2720)
A = 5440
The diagonal : 54.99
Related Questions
A cylinder has a base of 8 feet and a height of 29 ft what is its volume in cubic feet
Answers
Answer:
1457.7 cubic ft
Step-by-step explanation:
Volume of a cylinder= πr²h
where, r = radius = 8/2 = 4 ft
h = 29
Volume= π × 4² × 29 = 1457.7 cubic ft
[tex]\rule{300}{1}[/tex]
[tex]\diamond\large\blue\textsf{\textbf{Given question:-}}}[/tex]
A cylinder has a base of 8 feet and a height of 29 ft. What is its volume
in cubic feet (ft³)?
[tex]\diamond\large\blue\textsf{\textbf{\underline{\underline{Answer and how to solve:-}}}}[/tex]
We are asked to find the volume of a cylinder, which can be found using the following formula:-
[tex]\hookrightarrow\boxed{\bold{V=\pi r^2h}}[/tex]
Where:-
V=volumer=radiush=heightProvided Information:-
r=4 ft (base = 8ft, divided by 2=4ft)h=29 ftSolving for Volume:-
Substitute 4 in lieu of r and 29 in lieu of h:-✳︎ [tex]\sf{V=\pi (4)^2(29)}[/tex]
On simplification,
✳︎ [tex]\sf{V=\pi (16)(29)}[/tex]
On further simplification,
✳︎ [tex]\sf{V=464\pi }[/tex]
Final step:-
✳︎ [tex]\sf{V\approx1,457.7\:ft^3}[/tex]
So we conclude that the volume of the given cylinder is
[tex]\ast[/tex] [tex]\sf{V\approx{1,457.7\:ft^3}}}[/tex]
Good luck with your studies.[tex]\rule{300}{1}[/tex]
find the missing side of the right triangle.
Answers
Answer :
10.63[tex] \: [/tex]
Step-by-step explanation :
Here, A right angled triangle is given with the measure of two sides and we are to find the measure of the third side.
We'll find the measure of third side with the help of the Pythagorean theorem,
[tex]\\ {\longrightarrow \pmb{\sf {\qquad (Hypotenuse {)}^{2}= (Base) {}^{2} + (Perpendicular {)}^{2} }}} \\ \\[/tex]
Here,
The Base is 7The Perpendicular 8The Hypotenuse is x.[tex] \: [/tex]
So, substituting the values in the formula we get :
[tex]\\ {\longrightarrow \pmb{\sf {\qquad (x {)}^{2}= (7) {}^{2} + (8 {)}^{2} }}} \\ [/tex]
[tex] \\ {\longrightarrow \pmb{\sf {\qquad (x {)}^{2}=49 +64}}} \\ [/tex]
[tex] \\ {\longrightarrow \pmb{\sf {\qquad (x {)}^{2}=113 }}} \\ [/tex]
[tex]\\ {\longrightarrow \pmb{\sf {\qquad x= \sqrt{113} }}} \\ [/tex]
[tex]\\ {\longrightarrow \pmb{\sf {\qquad x \approx10.63 }}} \\ [/tex]
Therefore,
The measure of the third side (x) is 10.63Dewmini has two coconuts lands as A and B. A seller ask to have one coconut at Rs. 34. But Dewmini got Rs. 25 000 income by selling the coconuts from the land A each at Rs. 30 and the coconuts from land 8, each at Rs. 40. Income gain by land A is Rs. 5000 more than the income gain by land B. 1.By taking the number of coconuts from land A as x and the number of coconuts from land B as y, build up a pair of simultaneous equations 2. Solve them and find the number of coconuts sold by two lands separately. If coconuts sold as the way seller said, show that Dewmini can gain Rs. 500 more
Answers
[tex] \textsf{\qquad\qquad\huge\underline{{\sf Answer}}} [/tex]
Volume of a rectangular prism is ~
[tex] \sf{Volume_{cuboid}= Length × Width × Height} [/tex]
[tex]\qquad \sf \dashrightarrow \: v = (4x + 2) \times (3x - 5) \times (7x + 4)[/tex]
[tex]\qquad \sf \dashrightarrow \: v = (12 {x}^{2} - 20x + 6x - 10) \times (7x + 4) [/tex]
[tex]\qquad \sf \dashrightarrow \: v = (12 {x}^{2} - 14x- 10) \times (7x + 4)[/tex]
[tex]\qquad \sf \dashrightarrow \: v = 84 {x}^{3} + 48 {x}^{2} - 98x {}^{2} - 56x - 70x - 40[/tex]
[tex]\qquad \sf \dashrightarrow \: v = 84 {x}^{3} - 50 {x}^{2} - 126x - 40[/tex]
So, the correct choice is B
How the
GCF
of Monomials helps to factor an expression?
Answers
Use the function f(x) to answer the questions:
f(x) = 2x2 − x − 10
Part A: What are the x-intercepts of the graph of f(x)? Show your work. (2 points)
Part B: Is the vertex of the graph of f(x) going to be a maximum or a minimum? What are the coordinates of the vertex? Justify your answers and show your work. (3 points)
Part C: What are the steps you would use to graph f(x)? Justify that you can use the answers obtained in Part A and Part B to draw the graph. (5 points)
Answers
Answer:
Part A: (2x−5)(x+2)
Part B: (5/2,0) and (-2,0)
Part C: The graph of f(x) has both "ends" of the graph pointing upward. You can describe this as heading toward infinity.
Part D: To graph function we can use x-intercepts and "ends" to sketch.In order to graph better use one more point of parabola that you can find as the average of x-intercepts: (-2+5/2)/2 =1/4.This is just x coordinate and you need to plug in 1/4 in the f(x) and find y coordinate -10 1/8. You can use y-intercept (0,-10) as well to graph.
Step-by-step explanation:
2x^2-3x-5=y
(2x-5)(x+1)=y
(2x-5)(x+1)=0
2x-5=0
2x=5
x=2.5
x+1=0
x=-1
you have an even degree (2) and a positive coefficient (2)
therefore as x---> -∞, f(x)----> +∞
also, as x----> +∞, f(x)----> +∞
also notice that this is a parabola that opens upwards so both "ends" approach positive infinity
plot the x-intercepts, find the vertex using h=-b/2a and substituting this value into the equation to find k and make a table of values to graph the parabola unless you only want a rough sketch of the graph-you know the x-intercepts and you found the vertex using h=-b/2a
Step-by-step explanation:
Answer: hes right
Step-by-step explanation: i took the test
USING TWO-WAY TABLES Use the two-way table (from Exercise
17) to answer the questions. Round to the nearest percent, if
necessary.
What percent of students prefer aerobic exercise?
What percent of students are male who prefer Anaerobic exercise?
Answers
What percent of students prefer aerobic excersize: 53%
88+69 /350= 0.5257 x 100
52.57 round up 53
53%
Need help finding the area of the shaded region
Answers
Check the picture below, the assumption being that the 6ft line is perpendicular to the 18ft line and thus making a right-triangle.
now, if we just get the whole area of the containing parallelogram and then get the area of the triangle and subtract it from that of the parallelogram's, what's leftover is the area we didn't subtract, the shadead area.
[tex]\stackrel{ \textit{\LARGE Areas}}{\stackrel{parallelogram}{(18)(10)}~~ - ~~\stackrel{triangle}{\cfrac{1}{2}(18)(6)}}\implies 180~~ - ~~54\implies 126[/tex]
Some please help me , also your beautiful and handsome and smart and you matter .
Answers
Answer:
∠ 1 = 36° , ∠ 2 = 144°
Step-by-step explanation:
∠ 1 and ∠ 2 are adjacent angles on a straight line and sum to 180° , that is
x + 12 + 6x = 180
7x + 12 = 180 ( subtract 12 from both sides )
7x = 168 ( divide both sides by 7 )
x = 24
Then
∠ 1 = x + 12 = 24 + 12 = 36°
∠ 2 = 6x = 6 × 24 = 144°
There are four people in an elevator that is about to make four stops on four different floors of the building. What is the probability that each person gets off on a different floor
Answers
The probability that each person gets off on a different floor is; 3/32
How to find the Probability?
We are told that there are 4 people on the elevator. We are also told that there are four stops on four different floors. Thus;
Total number of ways to get off on the floors = 4 * 4 * 4 * 4 = 256 ways
Now, the number of ways that each person can get off on a different floor is 4! = 24. Thus, the probability that each person gets off on a different floor is;
P(each person gets off on a different floor) = 24/256 = 3/32
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A circle is centered at R(2, 4). The point L(0,8) is on the circle.
Where does the point Q(6, 7) lie?
Answers
well, since we know the point L is on the circle, that means that the segment RL is really the length of the radius of that circle, hmmm let's see what that might be
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ R(\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad L(\stackrel{x_2}{0}~,~\stackrel{y_2}{8})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ RL=\sqrt{[0 - 2]^2 + [8 - 4]^2}\implies RL=\sqrt{(-2)^2+4^2}\implies \boxed{RL=\sqrt{20}}[/tex]
since RL is its radius, anything larger than that is outside the circle, and anything smaller than that is inside it. Let's check for the distance RQ.
[tex]~~~~~~~~~~~~\textit{distance between 2 points} \\\\ R(\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad Q(\stackrel{x_2}{6}~,~\stackrel{y_2}{7})\qquad \qquad d = \sqrt{( x_2- x_1)^2 + ( y_2- y_1)^2} \\\\\\ RQ=\sqrt{[6 - 2]^2 + [7 - 4]^2}\implies RQ=\sqrt{4^2+3^2}\implies RQ=\sqrt{25}[/tex]
needless to say RQ is larger than RL.
If an event is unlikely to occur, the probability is between ____ and ____ on the probability spectrum.
if an event is very likely to occur, the probability is between _____ and _____ on the probability spectrum.
btw thank you for answering ngas lol
Answers
Answer:
Certain and likely.
Complete the equation describing how x
and y are related
Answers
Answer:
y = x + -5
Step-by-step explanation:
Solution
To complete the equation, let's take two different points and plug their x- and y-coordinates into the equation. Then, we can solve for the question mark and see if we get the same number. I'll take (1, -4) and (2, -3):
(1, -4):
-4 = 1 + b-4 - 1 = 1 + b - 1b = -5(2, -3):
-3 = 2 + b-3 - 2 = 2 + b - 2b = -5Thus, the equation is y = x + (-5).
WILL GIVE BRAINLIEST!!!!
Which of the following is an example of an exponential function?
f(x) = 4x^3 + 2x^2 – 3x + 9
g(x) = log2(x)^3
h of x equals the quantity x squared plus 2x minus 7 end quantity divided by the quantity x plus 1
p(x) = 500(1.02)^x
Answers
Exponential functions are known to increase geometrically. An example of exponential function is p(x) = 500(1.02)^x
Exponential functionsExponential functions are known to increase geometrically. The standard exponential function is given as:
y = ab^x
a is the base
x is the exponent
From the given options, the function written in this form is
p(x) = 500(1.02)^x. Hence an example of exponential function is
p(x) = 500(1.02)^x
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PLS HALP!!!
NEED TO SUBMIT IN LESS THAN 30 MINS! >.
Answers
Answer:
y int = -12
vertex = (-4,4)
Axis of Symmetry = x = -4
It has a Maximum
Opens up
Step-by-step explanation:
what are these least to grates
1. 3.5
2. 3.715
3. 3.17
4. 3.571
5. 3.75
Answers
1. 3.5
4. 3.71
2. 3.715
5. 3.75
Your friend asks you to help him study and will pay you 5 dimes the first time you help him. You agree to help if he multiplies your payment by 5 for each study session. After 2 study sessions, you will receive 25 dimes, and after 3 study sessions, you will receive 125 dimes. how many dimes would he get for the 7th session
Answers
Answer:
78125
Step-by-step explanation:
help me please
[tex]if \: \sin(x) = \cos(50degree) \: find \: x [/tex]
Answers
Answer:
x = 40°
Step-by-step explanation:
using the cofunction identity
cos(90 - x) = sin x , so
90 - x = 50 , then
x = 40
that is sin40° = cos50°
You are investing $1500 at 5.2% compounded annually. How much money will you have in 12 years?
Answers
Answer:
$2756.01 to the nearest cent.
Step-by-step explanation:
A = P(1 + r)^t where A is the amount after t years, P = amount invested, r = rate as a decimal fraction.
So here, we have:
A = 1500(1 + 0.052)^12
= 1500 * 1.837337
= $2756.01
Using the image above, what is the measure of Angle L? Round to the nearest hundredth
Answers
Answer:
you can approximate it to 61°
HELP ASAP!!! PLEASE SHOW SOLUTIONS!!
Answers
Answer:
84 ways3,780 numbers3,628,800 waysStep-by-step explanation:
Solving :
Q1
No. of ways to choose 6 from 9 :⁹C₆ = 9! / 6! 3! 9 x 8 x 7 x 6! / 6! x 3 x 23 x 4 x 728 x 384 waysQ2
No. of numbers with distinguishable digits :9! / 4! 2! 2!9 x 8 x 7 x 6 x 5 x 4! / 4! x 2 x 29 x 2 x 7 x 6 x 510 x 63 x 6378 x 103,780 numbersQ3
No. of ways to arrange :10 x 9 x 8 x 7 x 6 x 5 x 4 x 3 x 290 x 56 x 30 x 245040 x 7203,628,800 waysA particular baseball diamond is actually a square with 76-foot sides. what is the distance from home plate to second base? express the answer in simplified radical form. then find a decimal approximation.
Answers
We conclude that the distance between the home plate and the second base is 107.48 feet.
How to get the distance between the home plate and the second base?
We know that the distance will be equal to the diagonal of the square. Remember that for a square of side length S, the diagonal is:
D = S*√2
In this case, the side length is S = 76ft, then the diagonal is:
D = 76ft*√2 = 107.48ft
From this, we conclude that the distance between the home plate and the second base is 107.48 feet.
If you want to learn more about squares:
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pasagot po, thank you
Answers
Step-by-step explanation:
6) The sum of the length of any two sides of a triangle is always equal to the third side.
Option C 3,4,7
7) The sum of the length of any two sides of a triangle is always equal to the third side.
Option B 5 units
8) The sum of the length of any two sides of a triangle is always equal to the third side.
Option D 13 units
9) The sum of the length of any two sides of a triangle is always equal to the third side.
Option A 5<x<13
Solve 12≥2(3n+1)+22. Show your answer in the form of an inequality.
Answers
Isolate the variable by dividing each side by factors that don't contain the variable.
Inequality Form:
n ≤ − 2
What fraction is 380 lb of 400 lb?
Answers
Answer:
19/20
Step-by-step explanation:
380÷ 20= 19
400÷20= 20
The formula
K = 5/9 (F - 32) + 273.15 converts a Fahrenheit temperature to a Kelvin temperature. Solve the formula for F. Then find the Fahrenheit temperature for a Kelvin temperature of 310.15 K
Answers
Answer:
See below ~
Step-by-step explanation:
Solving for F
5/8 (F - 32) + 273.15 = K5/8 (F - 32) = K - 273.15F - 32 = 8/5 (K - 273.15)F = 8/5 (K - 273.15) + 32Finding F when K = 310.15 K
F = 8/5 (310.15 - 273.15) + 32F = 1.6 (37) + 32F = 59.2 + 32F = 81.2°Fwhat is the area in square centimeters of the isosceles trapezoid below?
Answers
65.28 cm^2
[tex]\bold{SOLUTION:}[/tex]
what is the solution in the equation X +3 equals 27
A 24
B 30
C 81
D 90
Answers
x = -3 + 27
x = 24
thus answer is A
the mean of normally distributed test scores is 80 and the standard division is 5. If there are 186 test scores in the data sample, how many of them were in the 75 to 80 range?
Answers
Answer:
63
Step-by-step explanation:
score 75 is one standard dev below the mean ====>to the mean encompasses approx 34% of scores
.34 * 186 = 63
which congruent theorem would prove these triangles congruent ??
Answers
Answer:
It's AAS congruent theorem.
Answer:
[tex]\huge\boxed{\sf AAS\ postulate}[/tex]
Step-by-step explanation:
The two triangles have:
2 angles congruent (already marked)a side that is common in both triangles.So, 2 angles and 1 side congruency makes it AAS postulate (Angle-Angle-Side).
[tex]\rule[225]{225}{2}[/tex]
PLEASE HELP 5 POINT ASSIGNMENT (LEASE TO GREATEST PROBLEM)
Order, 1/2, 5/6, 2/3, and 3/5 from least to greatest
Answers
Answer:
1/2 < 3/5 < 2/3 < 5/6
Step-by-step explanation:
Using the given inputs:
1/2 5/6 2/3 3/5
The least common denominator (LCD) is: 30.
Rewriting as equivalent fractions with the LCD:
1/2 5/6 2/3 3/5
15/30 25/30 20/30 18/30
Sorting this table by the numerators of the equivalent fractions in order from least to greatest:
1/2 3/5 2/3 5/6
15/30 < 18/30 < 20/30 < 25/30
Therefore, the sorted inputs in order from least to greatest is:
1/2 < 3/5 < 2/3 < 5/6