Step-by-step explanation:
24=3n-15 or,25+15=3n or,39=3n or,39/3=n or,n=13 therefore the value of n is 13. I think this answer is helpful for you
Answer: n = 13
Step-by-step explanation:
24=3(n-5) - First distribute the 3 to the n and the 5. Which you would than get 3n and -15
24=3n-15 - Now add the 15 to both sides which would cause it to cancel out on the left side of the equal side.
39=3n - Now divide the 3 from 3n on both sides of the equal side.
n=13 - Once you do that you will get n = 13. That is your answer!
FOR THE DATA: 63 76 88 75 82 82 94 61, FIND THE FOLLOWING:A) MEAN __________B) MEDIAN __________C) MODE __________D) MIDRANGE __________E) RANGE __________
GIVEN:
We are given the following data set;
\(63,76,88,75,82,82,94,61\)Required;
To calculate the following;
\(Mean,Median,Mode,Midrange\text{ }and\text{ }Range.\)Step-by-step solution;
To calculate the mean of a data set, we use the following formula;
\(\begin{gathered} Mean=\frac{\Sigma x}{n} \\ \\ Where;\text{ }x=individual\text{ }data,\text{ }n=number\text{ }of\text{ }data \end{gathered}\)We now calculate as follows;
\(\begin{gathered} Mean=\frac{63+76+88+75+82+82+94+61}{8} \\ \\ Mean=77.625 \end{gathered}\)To calculate the median we re-arrange the data set in order from least value to greatest value.
\(61,63,75,76,82,82,88,94\)We now observe the number that lies in the middle of the set. We do this by counting the same number of individual data both from the left and from the right. The point where the number count meets is the midpoint and there we have our median value.
For this data set, the values in the middle of the set are;
\(middle\text{ }values=76,82\)In a case where we have two numbers, we add them up and divide by 2. The result would now be the median of the data set.
Hence;
\(\begin{gathered} Median=\frac{76+82}{2} \\ \\ Median=79 \end{gathered}\)The mode is the value that has the highest frequency. That is, the one which occurs most often in the entire data set. For the given data set, the mode is
\(Mode=82\)The midrange is the value that lies midway between the least value and the highest value. In other words, we add up the least value and highest value and divide the result by 2. What we have after that is the midrange, that is;
\(\begin{gathered} Midrange=\frac{61+94}{2} \\ \\ Midrange=77.5 \end{gathered}\)The range is the difference between the least value and the greatest value, that is;
\(\begin{gathered} Range=94-61 \\ \\ Range=33 \end{gathered}\)Therefore, we now have our answers as follows,
ANSWER:
\(\begin{gathered} Mean=77.625 \\ \\ Median=79 \\ \\ Mode=82 \\ \\ Midrange=77.5 \\ \\ Range=33 \end{gathered}\)Solve for x. I attached the question. Pls help me :(
Answer:
x = 16°
Step-by-step explanation:
What we know:
∠JML = 47°
∠JKL = (7x + 21)°
∠JML is an inscribed angle
∠JKL is an inscribed angle
Inscribed angles are half of the value of their intercepted arc
So if m∠JML = 47° then mArc JL is double that or 94°
And ∠JKL is intercepted by Arc JML which is the rest of the circle not intercepted by ∠JML so
mArc JL + Arc JML = 360°
94 + Arc JML = 360
Subtract 94 from both sides to isolate Arc JML
Arc JML = 266°
So if Arc JML = 266° then it's intercepted inscribed angle is half of that.
Arc JML ÷ 2 = ∠JKL
266 ÷ 2 = ∠JKL
133 °= ∠JKL
Now we can use this value and set it equal to the expression to find the value of x
(7x + 21) = 133
Subtract 21 from both sides to isolate the x
7x = 112
Divide both sides by 7
x = 16
I have a rectangular prism 9 ft 15 ft by 8 feet I need to find the surface area and the volume
Answer:
Step-by-step explanation:
A=2(xy+xz+yz) where x,y,z are its dimensions
A=2(9(15)+9(8)+15(8))
A=2(135+72+120)
A=2(327)
A=654ft^2
V=xyz
V=9(15)8
V=1080ft^3
1. Find the area. 15 cm summ · 12 cm 20 cm
It seems there are two numbers missing between "15 cm summ" and "12 cm". Please provide the complete values so I can help you solve the problem.
Answer this for me please
The function values are f(10) = 198 and g(-6) = 24/7; the range of h(x) is 3/5 < h(x) < 31/25 and the inverse function is p-1(x) = -(1 + 3x)/(5 + x)
Calculating the function valuesGiven that
f(x) = 2x^2 - 2
g(x) = 4x/(x - 1)
So, we have
f(10) = 2(10)^2 - 2 = 198
g(-6) = 4(-6)/(-6 - 1) = 24/7
The range of h(x)Here, we have
h(x) = (7x - 4)/5x
Where
1 < x < 5
So, we have
h(1) = (7(1) - 4)/5(1) = 3/5
h(5) = (7(5) - 4)/5(5) = 31/25
So the range is 3/5 < h(x) < 31/25
The inverse of p(x)Here, we have
P(x) = (5x - 1)/(3 - x)
So, we have
x = (5y - 1)/(3 - y)
This gives
3x - xy = 5y - 1
So, we have
y(5 + x) = -1 - 3x
This gives
y = -(1 + 3x)/(5 + x)
So, the inverse function is p-1(x) = -(1 + 3x)/(5 + x)
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Find the distance along an arc on the surface of the Earth that subtends a central angle of 5 minutes (1 minute = 1/60 degree). The radius of the Earth is 3960 miles.
The distance along the arc on the surface of the Earth that subtends a central angle of 5 minutes is approximately 5.76 miles.
The circumference of Earth is given by:
C = 2πr
where r is the radius of the Earth. Substituting the given value for r, we have:
C = 2π(3960) miles
C = 24,901.55 miles
Since there are 360 degrees in a full circle, each degree of arc on the surface of the Earth subtends 1/360 of the circumference of the Earth, or approximately:
d = C/360 miles/degree
d = 69.17 miles/degree
Therefore, an arc subtending a central angle of 5 minutes would have a length of:
d = (5/60) × 69.17 miles
d = 5.76 miles
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Factor 48e+180 using greatest common factor
The output is seven less than the input
The function rule describes the connection between the input or domain and the output or range and we know that the required function rule is x=y-7.
What do we mean by function rule?The relationship between the input or domain and the output or range is known as the function rule.
If and only if there is a single value in the range for each domain value, then a relation is a function.
Consequently, the expression f (x) = 3 x + 1 can be used to represent the function rule y = 3 x + 1.
Function notation is the name for this method of expressing a function rule.
We can read the function notation above as A function exists that is "expressed in terms of the variable" in such a way that it equals 3 x + 1 or of equals 3 x + 1.
So, Y is the result, and x is the input.
According to the provided information, the output is 7 less than the input.
Since the output is y and the input is x, y is therefore 7 less than x.
Since y is 7 less than x, you may express that as an equation, giving you x = y -7.
Therefore, the function rule describes the connection between the input or domain and the output or range and we know that the required function rule is x=y-7.
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Complete question:
Write a function rule for "The output is 7 less than the input." Let x be the input and let y be the output.
what are the steps to solve this
Answer:
The equation of this line is y = -4.
Answer:
y=-4
Step-by-step explanation:
zero slope m=0
y-y1=m(x-x1)
y-(-4)=0(x-(-9))
y+4=0
y=-4
Negative fractions on the number line
Answer:
-1.2
Step-by-step explanation:
each mark is .20 so yeah
Pls mark brainliest!
Question 6 of 15
Next
Toward the middle of the harvesting season,
peaches for canning come in three types, early.
late, and extra late, depending on the expected
date of ripening. During a certain week, the data
to the right were recorded at a fruit delivery
station. Complete parts (a) through (d) below.
36 trucks went out carrying early peaches:
62 carried late peaches;
57 carried extra late peaches,
23 carried early and late,
30 carried late and extra late,
13 carried early and extra late,
4 carried all three:
7 carried only figs (no peaches at all).
(a) How many trucks carried only late variety peaches?
trucks
(Type a whole number.)
(b) How many carried only extra late?
trucks
(Type a whole number.)
(c) How many carried only one type of peach?
trucks
(Type a whole number.)
(d) How many trucks (in all) went out during the week?
trucks
(Type a whole number.)
Based on the method of solutions of equations, the number of Trucks carrying the fruits are as follows:
Late Peach only = 17 trucksExtra late Peach only = 22 trucks Trucks that carried only one type of peach = 47 trucksTotal number of trucks = 108 trucksWhat is the solution of an equation?The solution of an equation makes the equation true.
How to solve for the number of TrucksFrom the data provided:
36 trucks went out carrying early peaches:
62 carried late peaches;
57 carried extra late peaches,
23 carried early and late,
30 carried late and extra late,
13 carried early and extra late,
4 carried all three:
7 carried only figs (no peaches at all).
The number of trucks that carry only late variety peaches:
Late Peach only = 63 - (30 - 4) - (24 - 4)
Late Peach only = 17 trucksNumber of Trucks that carried only extra late variety peach:
Extra late Peach only = 57 - (30 - 4) - (13 - 4)
Extra late Peach only = 22 trucksNumber of Trucks that carried only one type of peach?
Early Peach only = 36 - (13 - 4) - (23 - 4)
Early Peach only = 8 trucks
Then;
Number of Trucks that carried only one type of peach = 17 + 22 + 8
Trucks that carried only one type of peach = 47 trucksTotal number of trucks that went out during the week:
Total number of Trucks = 47 + (13 - 4) + (23 - 4) + (30 - 4) + 7
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Write 3 1/2 cups as a multiplication expression using the unit, 1 cup, as a factor.
I ABSOLUTELY NEED HELP BY TOMORROW!!! I AM GIVING 100 POINTS
3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.
How to Write 3 1/2 cups as a multiplication expression using the unit, 1 cup, as a factor.To express 3 1/2 cups as a multiplication expression using the unit "1 cup" as a factor, you can write it as:
3 1/2 cups = (3 + 1/2) cups = 3 cups + 1/2 cup
Since there are 1 cup in each term, we can rewrite it as:
3 cups + (1/2) cup
Now, we can express each term as a multiplication expression:
3 cups = 3 * 1 cup = 3
(1/2) cup = (1/2) * 1 cup = 1/2
Putting it all together, the multiplication expression is:
3 * 1 cup + (1/2) * 1 cup = 3 + 1/2
Therefore, 3 1/2 cups can be expressed as the multiplication expression: 3 + 1/2.
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i need help
can you look over this picture and see what the answer is
Answer:
AC = 12
Step-by-step explanation:
If BC is parallel to DE then ∠D ≅ ∠B and ∠E ≅ ∠C. Therefore
ΔABC is similar to ΔADE.
The sides of smaller triangle are in proportion with sides of bigger triangle.
Therefore we have the equation:
AC/AE = AB/AD
Substitute the given numbers:
x/x+15 =8/18
18x= 8(x+15)
18x = 8x+120
10x = 120
x = 12
AC=12
Person 1, person 2, and person 3 paid a total of $120 for lunch. They split the money respectively using the ratio 1:2:3. How much more did person 3 pay than person 2?
Person 3's payment exceeded person 2's payment by $20.
To find out how much more person 3 paid than person 2, we need to calculate the amounts each person paid based on the given ratio and then compare their payments.
The ratio given is 1:2:3, which means that person 1 gets 1 part, person 2 gets 2 parts, and person 3 gets 3 parts of the total amount.
Step 1: Calculate the total number of parts in the ratio.
1 + 2 + 3 = 6
Step 2: Determine the value of one part.
$120 (total amount) divided by 6 (total number of parts) = $20
Step 3: Calculate the payments for each person based on the ratio.
Person 1: 1 part * $20 = $20
Person 2: 2 parts * $20 = $40
Person 3: 3 parts * $20 = $60
Therefore, person 3 paid $60, while person 2 paid $40. To find out how much more person 3 paid than person 2, we subtract the amount person 2 paid from the amount person 3 paid:
$60 - $40 = $20
Hence, person 3 paid $20 more than person 2.
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CAN ANYONE HELP ME WITH THIS PLEASE?????
Simplify. -4 / 3√2
A. -2√3
B. -2√2 / 3
C. 2√2 / 3
Answer:
\(\dfrac{-2\sqrt2}{3}\) is the answer.
Step-by-step explanation:
The given expression is :
\(\dfrac{-4}{3\sqrt2}\) .. (1)
We need to simplify the above expression.
Multiply both numerator and denominator by \(\sqrt{2}\).
\(\dfrac{-4}{3\sqrt2}\times \dfrac{\sqrt2}{\sqrt2}\\\\=\dfrac{-4\times \sqrt2}{3\times 2}\ \ [\because\ \sqrt2\times \sqrt2=2]\\\\=\dfrac{-2\sqrt2}{3}\)
So, the simplified form of the above expression is \(\dfrac{-2\sqrt2}{3}\). Hence, the correct option is (B).
Cameron wants to buy a skateboard. he has $89, Which is $17 more than he needs. Which equation can be used to determine how much the skateboard costs
Answer:
The answer to this question is $72. The equation is x + 17 = 89
Step-by-step explanation:
Equation: x + 17 = 89
Cameron has $89 so 89 would go behind the equal sign.
He has 17 dollars more than he needs. Whenever more is used that usually indicates that it will be a plus sign. So we will do + 17 = 89.
Finally we need to add the x to complete the equation. This will be shown as x + 17 = 89.
If you solve this equation it will equal x = 72.
If this helped you please subscribe to The Game Rater. Thank you.
Answer:
89-17
Step-by-step explanation:
To find how much Cameron’s skateboard costs you need to take away 17 from your starting amount as you have more. Meaning we subtract the 17 to find how much the skateboard costs.
Type ALL the steps of writing the equation of the line given the slope of the line is −4 and a point on the line is (−2,1).
Answer:
y = -4x - 7
Step-by-step explanation:
we use the slope intercept formula given by; y = mx + b
b = y intercept, which is when x = 0
m = slope
so they tell us the slope.. we just need to find b - the y intercept.
y = mx + b
plug in your coordinates (-2,1)
1 = -4(-2) + b
1 = 8 + b
1 - 8 = b
-7 = b
put it all together.
y = -4x - 7
2. The prices, in dollars per unit, of the three commodities X, Y and Z are x, y and z,
respectively
Person A purchases 4 units of Z and sells 3 units of X and 3 units of Y.
Person B purchases 3 units of Y and sells 2 units of X and 1 unit of Z.
Person C purchases 1 unit of X and sells 4 units of Y and 6 units of Z.
In the process, A, B and C earn $40, $50, and $130, respectively.
a) Find the prices of the commodities X, Y, and Z by solving a system of linear
equations (note that selling the units is positive earning and buying the units is
negative earning).
Answer:
Price of X is $24.81
Price of Y is $3.66
Price of Z is $11.36
Step-by-step explanation:
for person A, we know that earns $40, then we can write the equation:
-4*z + 3*x + 3*y = $40
For person B, we know that earns $50, then:
1*z + 2*x - 3*y = $50
For person C, we know that earns $130, then:
6*z - 1*x + 4*y = $130
Then we have a system of equations:
-4*z + 3*x + 3*y = $40
1*z + 2*x - 3*y = $50
6*z - 1*x + 4*y = $130
To solve the system, we need to isolate one of the variables in one of the equations.
Let's isolate z in the second equation:
z = $50 - 2*x + 3*y
now we can replace this in the other two equations:
-4*z + 3*x + 3*y = $40
6*z - 1*x + 4*y = $130
So we get:
-4*($50 - 2*x + 3*y) + 3*x + 3*y = $40
6*($50 - 2*x + 3*y) - 1*x + 4*y = $130
Now we need to simplify both of these, so we get:
-$200 + 11x - 9y = $40
$350 - 13*x + 28*y = $130
Now again, we need to isolate one of the variables in one of the equations.
Let's isolate x in the first one:
-$200 + 11x - 9y = $40
11x - 9y = $40 + $200 = $240
11x = $240 + 9y
x = ($240 + 9y)/11
Now we can replace this in the other equation:
$350 - 13*x + 28*y = $130
$350 - 13*($240 + 9y)/11 + 28*y = $130
Now we can solve this for y.
- 13*($240 + 9y)/11 + 28*y = $130 - $350 = -$220
-13*$240 - (13/11)*9y + 28y = - $220
y*(28 - (9*13/1) ) = -$220 + (13/11)*$240
y = ( (13/11)*$240 - $220)/(28 - (9*13/1) ) = $3.66
We know that:
x = ($240 + 9y)/11
Replacing the value of y, we get:
x = ($240 + 9*$3.66)/11 = $24.81
And the equation of z is:
z = $50 - 2*x + 3*y = $50 - 2* $24.81 + 3*$3.66 = $11.36
Then:
Price of X is $24.81
Price of Y is $3.66
Price of Z is $11.36
If EH = 18 and FG 1 EH, solve for the measure of EG.
Answer:
9
Step-by-step explanation:
If its perpendicular, it probably bisects EH, so just split it in half.
A curtain manufacturer uses a 909090-yard roll of material to make 777 identical curtains. There was 7.757.757.75 yards of material left over.
How many yards were needed for each curtain?
Answer:
um 93455.9999?~~~~~
Step-by-step explanation:
5.
Tax: The property taxes on a house were
$1050. What was the tax rate if the house was
valued at $70,000?
Answer:
1.5%
Step-by-step explanation:
house value x property tax rate = property taxes
70,000 x property tax rate = 1050
property tax rate = 1050/70000
property tax rate = .015 0r 1.5%
I need the answers and explanation please ill mark brainliest
Answer:
(from top row to bottom row, left to right) 4, 32, 128, 12, 24, 96
Step-by-step explanation:
So, the first pair in the table would be 2/3 (club soda to grape juice). You can use that pair, or in other mathematical terms fraction, to generate other fractions equivalent to it, such as 4/6, 8/12, and 16/24 (those are some of the fractions in the table btw :D).
Hope this helped :D
(and have a great day/afternoon/night!!)
Consider the following rational function f
Therefore, the end behavior of the function f(x) is: f(x) → 0- as x → -∞ and f(x) → 1 as x → ∞.
What is function?In mathematics, a function is a rule that assigns a unique output value to each input value. Functions are often represented as equations or graphs that relate the input (also known as the independent variable) to the output (also known as the dependent variable). The input is usually denoted by the variable x, and the output is usually denoted by the variable y. Functions can be used to model relationships between different quantities, such as time and distance, or temperature and pressure. They are a fundamental concept in mathematics and are used in many fields, including physics, engineering, economics, and computer science.
Here,
To determine the end behavior of the function f(x) = (-4x³+ 7x + 9)/(8x⁶ - 9x⁴ - 2x), we need to consider the limit of the function as x approaches positive or negative infinity.
As x approaches negative infinity, the highest power of x in the numerator is -4x³, which will dominate the function. The highest power of x in the denominator is 8x⁶, which will also dominate the function. Therefore, we can simplify the function to:
f(x) ≈ (-4x³)/(8x⁶) = -1/(2x³)
As x approaches negative infinity, the denominator of this simplified function will become very large (since x³ becomes very negative), causing the function to approach 0 from the negative side:
f(x) → 0- as x → -∞
As x approaches positive infinity, the highest power of x in the numerator and denominator are both 8x⁶. Therefore, we can simplify the function to:
f(x) ≈ (8x⁶)/(8x⁶) = 1
As x approaches positive infinity, the function will approach 1 from the positive side:
f(x) → 1 as x → ∞
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Complete question:
Consider the following rational function fff. f(x)=\dfrac{-4x^3+7x+9}{8x^6-9x^4-2x}f(x)= 8x 6 −9x 4 −2x −4x 3 +7x+9 f, left parenthesis, x, right parenthesis, equals, start fraction, minus, 4, x, cubed, plus, 7, x, plus, 9, divided by, 8, x, start superscript, 6, end superscript, minus, 9, x, start superscript, 4, end superscript, minus, 2, x, end fraction Determine fff's end behavior. f(x)\tof(x)→f, left parenthesis, x, right parenthesis, \to as x\to -\inftyx→−∞x, \to, minus, infinity. f(x)\tof(x)→f, left parenthesis, x, right parenthesis, \to as x\to \inftyx→∞x, \to, infinity.
Review the graph.
On a coordinate plane, a vector has origin (0, 0) and terminal point (3, 2).
What is the magnitude of the vector shown?
5
13
StartRoot 5 EndRoot
StartRoot 13 EndRoot
On a coordinate plane, a vector has origin (0, 0) and terminal point (3, 2). The magnitude of the vector is 5
How did we get the value?The magnitude of a vector can be calculated using the distance formula, which is the square root of the sum of the squares of the differences of the x and y components. In this case, the x component is 3 and the y component is 2, so the magnitude can be calculated as follows:
√(3^2 + 2^2) = √(9 + 4) = √(13) = 5
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Answer:
its D
Step-by-step explanation:
on edge
Write and expression using only a whole-number based and a whole-number exponent to model 9•9•9•9•9
\(9 \times 9 \times 9 \times 9 \times 9 \\ = {9}^{5} \)
please help me asap !!!
Answer:
The Answer Will Be 45 SQ. CM
Step-by-step explanation:
The sum of two numbers is twenty-three. One number is forty-seven less than six times the other. Find the numbers.
Answer:
10, 13
Step-by-step explanation:
Lets call the other x
x + 6x - 47 = 23
7x - 47 = 23
7x = 70
x = 10
6 x 10 - 47= 60 - 47 = 13
Hope this helps!
A bag contains 8 green candies and 4 red candies. You randomly select one candy at a time to eat. If you eat five candies, there are relatively prime positive integers m and n so that m n is the probability that you do not eat a
green candy after you eat a red candy. Find m + n.
If m/n is the probability that you do not eat green candy after you eat a red candy, then m + n is 6.
A bag contains 8 green candies and 4 red candies. If you eat five candies, there are relatively prime positive integers m and n so that m/n is the probability that you do not eat green candy after you eat a red candy. Below list the ways to accomplish this ordering along with their respective probabilities:
GRRRR : \(\frac{8}{12}\times\frac{4}{11} \times\frac{3}{10} \times\frac{2}{9} \times\frac{1}{8}\)
GGRRR : \(\frac{8}{12}\times\frac{7}{11} \times\frac{4}{10} \times\frac{3}{9} \times\frac{2}{8}\)
GGGRR : \(\frac{8}{12}\times\frac{7}{11} \times\frac{6}{10} \times\frac{4}{9} \times\frac{3}{8}\)
GGGGR : \(\frac{8}{12}\times\frac{7}{11} \times\frac{6}{10} \times\frac{5}{9} \times\frac{4}{8}\)
GGGGG : \(\frac{8}{12}\times\frac{7}{11} \times\frac{6}{10} \times\frac{5}{9} \times\frac{4}{8}\)
The sum is \(\frac{8\times3\times4(2+14+42+70+70)}{12.11.10.9.8}\)
Probability that you do not eat green candy after you eat a red candy =\(\frac{1}{5}\)
so m = 1 and n = 5
m + n =6
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1. In a group of 10 third and 8 fourth graders, two students must be randomly selected to be the leaders for the day. If the first student selected is a fourth grader, what is the probability that the second student selected is a third grader?
Answer:
10/17
Step-by-step explanation:
The probability that the second student selected is a third grader, given that the first student picked was a fourth grader, is 10/17. This is after considering the total number of students and the decrease in total after the first student is chosen.
Explanation:The first thing to do in calculating this probability is to consider the total number of students.
There are 10 third graders and 8 fourth graders, which equals 18 students. Probability is often calculated by dividing the number of ways an event can occur by the total number of outcomes.After the first student (a fourth grader) is selected, you are left with 17 students. Out of these, 10 are third graders.Therefore, the probability that the second student selected is a third grader is the number of third graders (10) divided by the total number of remaining students (17).
So, the probability is 10/17.
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PLEASE HELP!! What is the surface area of the right prism given below?
A. 1200 units2
B. 350 units2
c. 600 units2
D. 520 units2
The correct answer is 520 square units that is option D.
What is the formula for surface area of prism?
The formula used to find the surface area S of right prism is S=bh+pH.
In the formula b is the base, h is the height of the right angle triangle formed in the prism and p is the perimeter of the triangle, H is the width of the prism.
What is the unknown side of the triangle?Let x be the hypotenuses of the right angle triangle of the prim.
Use Pythagoras theorem in the right angle triangle to find the value of x.
\(15^{2} +8^{2} =x^{2}\)
\(x^{2} =289\)
On solving this we will get x=17.
What will be the perimeter of the triangle?On adding all the sides of the triangle the perimeter of the triangle is 8+15+17=40.
What will be the surface area of the prism?By calculation and given information, we have b=8, h=15, p=40 and H=10.
Now we will substitute all the values in the formula to find the surface area.
S=(8)(15)+(40)(10)=120+400=520 Square units.
Therefore, the correct option is D.
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