Answer:
divide 63 by 6 with is 10.50 so he earns 10.5 dollars the hour then if he works 2 hours just multipley 10.5 by 2
To define an angle of 25 degrees in radians using Visual Python, it is needed to be written: Select one: 25/pi*180 O 25/pi/180 O 25pi/180 O 25*pi/180 O C
To define an angle of 25 degrees in radians using Visual Python, it should be written as 25*pi/180.
In Visual Python (VPython), angles are typically expressed in radians. Radians are the preferred unit of measurement for angles in mathematical calculations and most programming languages.
The conversion between degrees and radians involves multiplying the degree value by the conversion factor pi/180.
The constant pi represents the ratio of the circumference of a circle to its diameter and is approximately equal to 3.14159. Therefore, to convert 25 degrees to radians in Visual Python, we multiply 25 by pi/180, resulting in the expression 25*pi/180.
This calculation accurately represents the angle of 25 degrees in radians within the Visual Python environment.
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What is the right translation of these expressions and equations? (with solution)
1. 7 - 2m
2. 3( m + 2) = 15
3. 5m - m(2 - m)
Answer:
7 - 2m can be translated to "7 minus two times m" or "the difference between 7 and twice m".
3(m + 2) = 15 can be translated to "three times the sum of m and 2 is equal to 15" or "the product of 3 and the sum of m and 2 is 15".
To solve the equation, we can start by distributing the 3 on the left side:
3(m + 2) = 15
3m + 6 = 15
Then, we can subtract 6 from both sides:
3m + 6 - 6 = 15 - 6
3m = 9
Finally, we can divide both sides by 3:
3m/3 = 9/3
m = 3
Therefore, the solution to the equation 3(m + 2) = 15 is m = 3.
5m - m(2 - m) can be translated to "5m minus the product of m and the difference between 2 and m" or "the difference between 5m and m times the quantity 2 minus m".
To simplify the expression, we can use the distributive property to expand the second term:
5m - m(2 - m) = 5m - 2m + m^2 = m^2 + 3m
Therefore, the simplified expression is m^2 + 3m.
Which comparison is correct?
140.07 = 140.7
140.07 < 140.7
140.07 > 140.7
The correct answer choice is B(third option)
140.07 is smaller than (<) 140.7
This is because there is no digit in the hundreths place in 140.07,while there is a 7 in the hundreths place. 0 is less than < 7, therefore
140.07 is smaller than 140.7
B.140.07 < 140.7
Hope this helps & good luck on your assignment <3 !!!
solve the differential equation by variation of parameters. y'' y = sec() tan()
The general solution of the differential equation y''(x) + y(x) = sec(x) tan(x) is y(x) = c₁cos(x) + c₂sin(x) + (-ln|sec(x) + tan(x)| + C₁)cos(x) + (-ln|sec(x) + tan(x)| + C₂)sin(x); here c₁ and c₂ are constants.
To solve the differential equation y''(x) + y(x) = sec(x) tan(x) using variation of parameters, we first need to find the solutions to the homogeneous equation y''(x) + y(x) = 0.
The auxiliary equation for the homogeneous equation is r² + 1 = 0, which has complex roots r = ±i.
The corresponding solutions to the homogeneous equation are y₁(x) = cos(x) and y₂(x) = sin(x).
Next, we need to find the particular solution using the method of variation of parameters. Let's assume the particular solution has the form y_p(x) = u(x)cos(x) + v(x)sin(x).
Now, we need to find u(x) and v(x) by substituting this form into the original differential equation and solving for u'(x) and v'(x).
Differentiating y_p(x), we get y_p'(x) = u'(x)cos(x) - u(x)sin(x) + v'(x)sin(x) + v(x)cos(x).
Taking the second derivative, y_p''(x) = -u(x)cos(x) - u'(x)sin(x) + v(x)sin(x) + v'(x)cos(x).
Substituting these derivatives into the original differential equation, we have:
(-u(x)cos(x) - u'(x)sin(x) + v(x)sin(x) + v'(x)cos(x)) + (u(x)cos(x) + v(x)sin(x)) = sec(x)tan(x).
Simplifying, we get:
u'(x)sin(x) + v'(x)cos(x) = sec(x)tan(x).
To find u'(x) and v'(x), we solve the following system of equations:
u'(x)sin(x) + v'(x)cos(x) = sec(x)tan(x),
u(x)cos(x) + v(x)sin(x) = 0.
We can solve this system using various methods such as substitution or elimination.
Solving the system, we find:
u'(x) = sin(x)sec(x),
v'(x) = -cos(x)sec(x).
Integrating these expressions, we obtain:
u(x) = -ln|sec(x) + tan(x)| + C₁,
v(x) = -ln|sec(x) + tan(x)| + C₂.
Finally, the particular solution is given by:
y_p(x) = (-ln|sec(x) + tan(x)| + C₁)cos(x) + (-ln|sec(x) + tan(x)| + C₂)sin(x).
The general solution to the differential equation is the sum of the homogeneous and particular solutions:
y(x) = c₁cos(x) + c₂sin(x) + (-ln|sec(x) + tan(x)| + C₁)cos(x) + (-ln|sec(x) + tan(x)| + C₂)sin(x).
Here, c₁ and c₂ are constants.
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\( \frac{x + 7}{3 } = \frac{10}{6} \)
help me with this problem please
x = -2
Step-by-step explanation:
x + 7/3 = 10/6
Multiply both sides by 3 so we can divide without getting decimals.
3x + 21/3 = 30/6
Then divide 3x + 21 by the denominator and 30 by 6
x + 7 = 5
Subtract 7 from each side to get x by itself
x = -2
Rectangular prism A is similar to rectangular prism B. The ratio of the surface of A to B is 4:1. If the volume of rectangular prism B is 12 cm3 , what is the volume of rectangular prism A?
The volume of rectangular prism A will be 48 cm³
How to find area of Rectangular Prism?
The volume of a rectangular prism is given by the formula:
A = lwh
Where:
l = length
w = width
h = height.
Since the surface ratio of rectangular prism A to rectangular prism B is 4:1, the ratio of the linear dimensions of A to B must also be 4:1.
This means that if one linear dimension of rectangular prism A is 4 times the size of the corresponding dimension of rectangular prism B, then all of the linear dimensions of A will be 4 times the size of the corresponding dimensions of B.
Since the volume of a rectangular prism is given by the product of its linear dimensions.
The volume of rectangular prism A will be 4 times the volume of rectangular prism B.
Therefore, if the volume of rectangular prism B is 12 cm³, the volume of rectangular prism A will be 4 * 12 cm³ = 48 cm³.
Hence, The volume of rectangular prism A will be 48 cm³.
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a triangle undergoes a dilation with a scale factor of 9/5. the resulting triangle is _[blank]_ the original triangle.
The resulting triangle is 9/5 the original triangle.
How triangle dilated with scale factor?
The focuses in the direction planes are A(0, 2), B(2, 1), C(- 2, - 2). In the event that the scale factor is 2, each direction point of the first triangle is duplicated by the scale factor 2. Subsequently, the expanded triangle will be A'B'C' and the direction focuses got are A'(0, 4), B'(4, 2), C'(- 4, - 4).
According to question:Let we have a triangle ABC,If this triangle undergoes a dilation with a scale factor of 9/5,
Then changed triangle is A'B'C'
So, relation between them is A'B'C' = 9/5(ABC)
Thus, the resulting triangle is 9/5 multiple of triangle ABC.
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A cone has a radius of 6 centimeters and a slant height of 12 centimeters. Describe how each change affects the surface area of the cone.
b. The radius and the slant height are divided by 3 .
Dividing both the radius and slant height of a cone by 3 will result in a significant decrease in its surface area.
When the radius and slant height of a cone are divided by 3, it has a significant impact on the surface area of the cone. To understand this, let's first discuss the formula for calculating the surface area of a cone.
The surface area of a cone is given by the formula A = πr(r + l), where A represents the surface area, r is the radius, and l is the slant height.
If we divide the radius by 3, it means that the new radius (r') will be one-third of the original radius (r). Therefore, r' = r/3. Substituting this value into the surface area formula, we get A' = π(r/3)(r/3 + l).
Since both terms in the parentheses are divided by 3, it results in a decrease in the overall surface area. Dividing a number by 3 reduces its value significantly, so the new surface area will be much smaller compared to the original surface area.
Similarly, if we divide the slant height by 3, it means that the new slant height (l') will be one-third of the original slant height (l). Therefore, l' = l/3. Substituting this value into the surface area formula, we get A' = πr(r + l/3).
In this case, only one term in the parentheses is divided by 3. Although it still results in a decrease in the overall surface area, it is not as significant as when dividing the radius. The impact on the surface area will be relatively smaller compared to dividing the radius.
Overall, dividing just one of these measurements will also lead to a decrease, but the impact will be less pronounced.
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I’m confused, please help!
Answer:
B
Step-by-step explanation:
Did this problem yesterday
what is 12/6 simplified
Answer:
2
Step-by-step explanation:
Answer:
2/1......................
At summer camp, Rob went on a nighttime nature walk with his troop. During the walk, they saw 3 bats, 1 owl, 2 deer, and 6 squirrels.
Rob had never seen a bat before. What percent of the animals they saw on the walk were bats?
Answer:
25%???
Step-by-step explanation:
I think
Alan purchased 16 shares of company stock for $390.40. A month later, the total value of his shares fell to $291.20. What is the current price per share if each share costs the same?
Answer:
$18.00
Step-by-step explanation:
390.40/16 = 24.40
291.20 - 390.40 = 99.20
99.20/16 = 6.20
24.20 - 6.20 = $18.00
How can you use estimation to justify that the answer $7,875 is reasonable? $1,575 X 5 =p $1,575 X 5 = $7,875. So, p = $7,875.
Answer:
p= 1
Step-by-step explanation:
1,575x5 =p p=1
To the nearest hundreth, what is the length of line segment AB?
1.) 2.45
2.) 2.16
3.) 7.75
4.) 8.25
Answer:
option (4)
Step-by-step explanation:
Calculate the length using the distance formula
d = \(\sqrt{(x_{2}-x_{1})^2+(y_{2}-y_{1})^2 }\)
with (x₁, y₁ ) = A(2, 2) and (x₂, y₂ ) = B(- 6, 4)
AB = \(\sqrt{(-6-2)^2+(4-2)^2}\)
= \(\sqrt{(-8)^2+2^2}\)
= \(\sqrt{64+4}\)
= \(\sqrt{68}\)
≈ 8.25 ( to 2 dec. places )
Aaron took a taxi from his house to the airport. The taxi company charged a pick-up fee of $2 plus $3.50 per mile. The total fare was $58, not including the tip. Which equation could be used to determine xx, the number of miles in the taxi ride?
Answer:
58 = 3.5x + 2
Step-by-step explanation:
Since $3.50 is charged for every mile, we multiply x by 3.5 like this: 3.5x
$2 is already added on as a free so + 2
$58 is the total amount of money for all of the charges including the per mile and pick-up fee.
This was we can solve for the number of miles, x
58 = 3.5x + 2
- 2 - 2
56 = 3.5x
56/3.5 = 3.5x/3.5
x = 16
The taxi drove a total of 16 miles
can someone help me , with math thanks
Answer:
2+w greater than 5
Step-by-step explanation:
w=-3
Answer:
\(w = 3\)
Step-by-step explanation:
\(2 + w > 5 \\ w = 5 - 2 \\ w = 3\)
What an expression with (-2) as its base that will produce a negative product
The expression with (-2) as its base produces the negative product \((-2)^{2n-1}\).
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
Numbers (constants), variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbols, which can also be used to indicate the logical syntax's order of operations and other features.
The base of the exponential equation should be (-2). And finally, the product or result should also be a negative number.
Let us take a variable for n natural numbers.
(Note: All positive whole numbers are called natural numbers that are 1,2,3,4,5,....).
In order to get the expression, we need to find the expression for odd natural numbers.
The expression for odd natural numbers is given by = 2n-1.
Where n= 1,2,3,4,5...
If we have an odd exponent of a negative number, it always gives a negative number.
We got, base = -2 ( a negative number) and
Exponent = (2n-1)........... expression for an odd number.
Hence, the required expression is \((-2)^{2n-1}\).
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You may need to use the appropriate appendix table or technology to answer this question. The following results are for independent random samples taken from two populations. Sample 1 Sample 2 n1 = 20 n2 = 30 x1 = 22.8 x2 = 20.1 s1 = 2.2 s2 = 4.6 (a) What is the point estimate of the difference between the two population means? (Use x1 − x2. ) 2.7 (b) What is the degrees of freedom for the t distribution? (Round your answer down to the nearest integer.) (c) At 95% confidence, what is the margin of error? (Round your answer to one decimal place.) (d) What is the 95% confidence interval for the difference between the two population means? (Use x1 − x2. Round your answers to one decimal place.)
a). The difference between the two population means is estimated at a location to be 2.7.
b). 49 different possible outcomes make up the t distribution. The margin of error at 95% confidence is 1.7.
c). The range of the difference between the two population means' 95% confidence interval is (0.0, 5.4).
d). The (0.0, 5.4) represents the 95% confidence interval for the difference among the two population means.
What is standard deviations?The variability or spread in a set of data is commonly measured by the standard deviation. The deviation between the values in the data set and the mean, or average, value, is measured. A low standard deviation, for instance, denotes a tendency for data values to be close to the mean, whereas a high standard deviation denotes a larger range of data values.
Using the equation \(x_1-x_2\), we can determine the point estimate of the difference between the two population means. In this instance, we calculate the point estimate as 2.7 by taking the mean of Sample
\(1(x_1=22.8)\) and deducting it from the mean of Sample \(2(x_2=20.1)\).
With the use of the equation \(df=n_1+n_2-2\), it is possible to determine the degrees of freedom for the t distribution. In this instance, the degrees of freedom are 49 because \(n_1\) = 20 and \(n_2\) = 30.
We must apply the formula to determine the margin of error at 95% confidence \(ME=t*\sqrt[s]{n}\).
The sample standard deviation (s) is equal to the average of \(s_1\) and \(s_2\) (3.4), the t value with 95% confidence is 1.67, and n is equal to the
average of \(n_1\) and \(n_2\) (25). When these values are entered into the formula, we get \(ME=1.67*\sqrt[3.4]{25}=1.7\).
Finally, we apply the procedure to determine the 95% confidence interval for the difference between the two population means \(CI=x_1-x_2+/-ME\).
The confidence interval's bottom limit in this instance is \(x_1-x_2-ME2.7-1.7=0.0\) and the upper limit is \(x_1+x_2+ME=2.7+1.7=5.4\).
As a result, the (0.0, 5.4) represents the 95% confidence interval for the difference among the two population means.
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How do I find the domain and range of a function?
The domain of the function y = 2 - √(-3x+2) is (-∞ , 2/3] and the range of the function is (-∞ , 2] .
In the question ,
it is given that , the function is ⇒ y = 2- √(-3x+2) .
For Domain ,
we know that the square root function is defined only when the number inside the root is non negative .
that means ,
-3x \(+\) 2 ≥ 0
Subtracting 2 from both the sides ,
we get ,
-3x ≥ -2
x ≤ 2/3
the Domain is (-∞ , 2/3] .
For range , we know that the root function value in always non negative .
√(-3x + 2) ≥ 0
Multiply by -1 on both sides
we get ,
-√(-3x + 2) ≤ 0
Adding 2 to both the sides
2 - √(-3x + 2) ≤ 2
y ≤ 2
the range is (-∞ , 2] .
Therefore , the domain is (-∞ , 2/3] and the range is (-∞ , 2] .
How do we find the domain and range of the function y = 2- √(-3x+2) ?
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When x=-3, then y=______
Answer:-1
Step-by-step explanation:
Answer: -6
Step-by-step explanation:
the line pass through (-3,-6)
marvin was completing the square, and his work is shown below. identify the line where he made his mistake. (2 points) f(x)
He made the mistake on line 1.
2x^2 - 8x + 5....move the 5 to the other side
2x^2 - 8x = -5....now divide by 2
x^2 - 4x = -5/2
x^2 - 4x + 4 = -5/2 + 4
(x - 2)^2 = -5/2 + 8/2
(x - 2)^2 = 3/2
x - 2 = (+-)sqrt 3/2
x = 2 + sqrt 3/2 or x = 2 - sqrt 3/2
He made mistake on line 1.
Complete question -Marvin was completing the square, and his work is shown below. Identify the line where he made his mistake. f(x) = 2x2 − 8x + 5. Line 1: f(x) = 2(x^2 − 8x) + 5 Line 2: f(x) = 2(x^2 − 8x + 16) + 5 − 32 Line 3: f(x) = 2(x − 4)^2 − 27
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we are going to make a part from 1045hr. the yield strength of 1045hr provided from our supplier has a mean value of 414 mpa and a std. dev of 85 mpa. what is the probability that the equivalent strength of this part will be between 439 mpa and 544 mpa?
The probability that the equivalent strength of the part will be between 439 MPa and 544 MPa is approximately 0.3231
The probability that the equivalent strength of the part made from 1045hr will be between 439 MPa and 544 MPa can be determined using the properties of the normal distribution.
First, we need to standardize the values using the formula: z = (x - μ) / σ, where x is the value, μ is the mean, and σ is the standard deviation.
For 439 MPa:
z1 = (439 - 414) / 85 = 0.2941
For 544 MPa:
z2 = (544 - 414) / 85 = 1.5294
Next, we can find the probability associated with each z-value using a standard normal distribution table or a statistical software.Using the standard normal distribution table, we can find the area to the left of z1, which is approximately 0.6151, and the area to the left of z2, which is approximately 0.9382.
To find the probability between these two values, we subtract the smaller area from the larger area:
P(439 ≤ x ≤ 544) = 0.9382 - 0.6151 = 0.3231
Therefore, the probability that the equivalent strength of the part will be between 439 MPa and 544 MPa is approximately 0.3231 or 32.31%.
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HELP PLEASEEE!!! Which relation is a function?
Answer: A
Step-by-step explanation:
Identify the type of data (qualitative/quantitative) and the level of measurement for the eye color of survet respondents.
Qualitative data depicts qualities or characteristics. This type of data is qualitative and nominal.
What is qualitative data?Qualitative data are the conceptual and descriptive findings gathered by surveys, interviews, or observation. We can explore concepts and provide more context for quantitative findings by analyzing qualitative data.
Qualitative data exist as measures of "types" and can be represented by a name, symbol, or number code, whereas quantitative data exist as information on numerical variables (such as how many, how much, or how frequently).
Numbers are used to expressing measures of values or counts in quantitative data. Binary, nominal, and ordinal are the three primary forms of qualitative data.
Qualitative data comes in a wide variety of forms, including those used in statistics, work, and research. This type of data is qualitative and nominal.
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The Miami Heat scored 79 points. This was 13
points less than the Chicago Bulls. How many
points did the Chicago Bulls score?
write an equation and solve !!
Answer:
92
Step-by-step explanation:
79+13=92
Answer: 79+13=92
The Chicago Bulls scored 92 points.
Hope this helped!
can i plz have brainliest?
which is greater 2/5, 0.42, 1/8, 0.375
Answer:
0.42Greatest To Least
1/8 , 0.375 , 2/5 , 0.42
1/8 = 0.125
0.375 = 0.375
2/5 = 0.4
0.42 = 0.42
( I don't know if you were asking to do least to greatest or just the greatest but here you go. )
Hope this helps! <3
GIVING BRAINLIST IF IT MAKES SENSE!!!
please help
I have absolutely no idea what I am doing...!
Answer:
What is the question?
Step-by-step explanation:
Comment it
Answer:
same i feel you bru
Step-by-step explanation:
i'm actually, uh, procrastinating on brainly. can i vent? actually i will anyways so here: i have an science quiz on space and the moon phrases and i barely payed attention in class so i don't even know how to solve half of the problems. i normally always do ok on quizzes but i feel like this one is different and i'm going to fail. it's due by today at midnight and i'm procrastinating on brainly to take my mind away from reality. i know i'm being a total coward by trying to avoid what is my own consequences but... here i am haha ;-; it would be better if i at least started studying now even if it's short to get my grade up just a little but i'm scared to even look at the quiz. i also have a lot of homework and an essay that's due tomorrow that i haven't started on yet... and yet i procrastinate. i don't understand myself and sometimes i want to cry because i don't know why i'm like this. i feel like the more homework i get, the more i procrastinate. i'm miserable really.
Sensitivity of two new types of sensors, S1 and S2, to excessive levels of a particular air pollutant is tested. The probability that the sensor S1 detects excessive pollution is 0.7, the probability that the sensor S2 detects excessive pollution is 0.8, and the probability that both of the sensors detect excessive pollution is 0.6. Using the set-theoretical language, describe each of the following events. Then, compute the probability of the events. You can use either the formulas or a Venn diagram. a) at least one sensor detects the pollutant. b) either only S1 or only S2 detect the pollutant. c) S1 does not detect, and S2 detects the pollutant. d) S2 fails to detect the pollutant.
The probability that at least one sensor detects the pollutant is 0.9.The probability that either only S1 or only S2 detects the pollutant is 0.5.The probability that S1 does not detect the pollutant, and S2 detects the pollutant is 0.2.The probability that S2 fails to detect the pollutant is 0.3.
The event "at least one sensor detects the pollutant" refers to the scenario where either S1 or S2 (or both) detect the excessive pollution. This can be visualized as the union of the two events: S1 detecting the pollutant (event A) and S2 detecting the pollutant (event B). The probability of event A is 0.7, the probability of event B is 0.8, and the probability of both events A and B occurring together is 0.6. By applying the principle of inclusion-exclusion, we can calculate the probability of the union as P(A ∪ B) = P(A) + P(B) - P(A ∩ B) = 0.7 + 0.8 - 0.6 = 0.9.
The event "either only S1 or only S2 detects the pollutant" can be represented as the exclusive OR (XOR) of the two events: S1 detecting the pollutant without S2 detecting it (event A) and S2 detecting the pollutant without S1 detecting it (event B). Since the probabilities of events A and B are not explicitly given, we assume that they are equal. Let's denote this probability as p. Therefore, the probability of either event A or event B occurring is 2p. Given that the sum of probabilities of all possible outcomes is equal to 1, we have 2p + P(A ∩ B) = 1. We are also given that P(A ∩ B) = 0.6. Solving these equations simultaneously, we find that p = 0.2. Hence, the probability of the event "either only S1 or only S2 detects the pollutant" is 2p = 2 × 0.2 = 0.4.
The event "S1 does not detect, and S2 detects the pollutant" is the complement of S1 detecting the pollutant (event A) intersected with S2 detecting the pollutant (event B). The probability of event A is 1 - P(S1 detects) = 1 - 0.7 = 0.3. The probability of event B is P(S2 detects) = 0.8. The probability of both events A and B occurring together is given as P(A ∩ B) = 0.6. Therefore, the probability of the event "S1 does not detect, and S2 detects the pollutant" is P(A' ∩ B) = P(A ∩ B') = P(A) - P(A ∩ B) = 0.3 - 0.6 = 0.2.
The event "S2 fails to detect the pollutant" is the complement of S2 detecting the pollutant. Therefore, the probability of this event is 1 - P(S2 detects) = 1 - 0.8 = 0.2.
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Work out the surface area of the solid cuboid.
3cm, 4cm and 6cm
Answer:
The formula for the surface area of a cuboid is:
SA = 2lw + 2lh + 2wh
where l, w, and h are the length, width, and height of the cuboid, respectively.
In this case, l = 6 cm, w = 4 cm, and h = 3 cm. Substituting these values into the formula, we get:
SA = 2(6)(4) + 2(6)(3) + 2(4)(3)
SA = 48 + 36 + 24
SA = 108
Therefore, the surface area of the cuboid is 108 square centimeters.
Step-by-step explanation:
Answer: Surface Area is \(72cm^2\).
Step-by-step explanation: Let surface area be a.
\(a= 2(5*4)+(5*2)+(4*2)\\a= 2(20+10+8)\\a=2(38)\\a=72 cm^2\)
This means the surface area of the solid cuboid is \(72cm^2\).
Hope this helps!
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solving equations and inequalities
5x = 11
Answer:
x=2.2
Step-by-step explanation:
11%5=2.2 so x=2.2
Answer:
x= 11/5
Step-by-step explanation:
5x=11 . Divide each side by 5
5x/5 = 11/5 . Cancel terms
x= 11/5