Answer:
54
Step-by-step explanation:bvu enif
Find the sum. 58.887 + 92.234
Answer: The sum of 58.887 + 92.234 is 151.121
Step-by-step explanation:
In this kind of decimal number, the summation can be done by adding numbers from the right-hand side. For example, we have two numbers, one is 58.887 and the other is 92.234. In these numbers, the right-hand side of both numbers is 7 and 4. Respectively, we have to add them up.
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at 3 am the temperature was 43. at 7:30 pm it's 56. explain mathematically how you know the temperature is 48 at least once during the day
The temperature was 48° at least once throughout the day as the temperature rises from 43° to 56° and 43° < 48° < 56° .
The temperature was 43° at 3 PM and it rises to 56° at 7.30 PM.
So we know that the rise of temperature in linear , hence the temperature will follow the rule of real numbers. Hence the temperature will increase through all the possible numbers between 43 and 56
Again 43° < 48° < 56° , so at least once the temperature will be 48 ° .
You can think about integers as either independent objects or as a tool for problem-solving. The study of analytical objects (such as the Riemann zeta function) that somehow encode features of integers, primes, or any other number-theoretic objects is often the best method for understanding number theory issues (analytic number theory).
Most people refer to number theory as arithmetic. By the turn of the 20th century, "numerical theory" had taken its place. (The term "arithmetic" is usually used to refer to "elementary computations," but it has come to signify more concepts in mathematical logic and computer technology, such as floating-point arithmetic.)
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the use of a tremendously large sample does not solve the question of quality for an estimator. what problems do you anticipate with very large samples? (select all that apply.) difficulty in obtaining a very large sample less outlier data cost of sampling none of these increase in standard error
Although increasing the sample size can improve the accuracy of the estimate, there are some problems that may arise with very large samples.
The following are the problems that can occur:
Difficulty in obtaining a very large sample: It may be difficult to obtain a large sample that is representative of the population and has a low bias.
Cost of sampling: Collecting data from a very large sample can be time-consuming and expensive.
None of these: This is not a problem that can arise with very large samples.
Increase in standard error: As the sample size increases, the standard error of the estimate tends to decrease, but after a certain point, increasing the sample size further may not lead to a significant reduction in the standard error, and may even increase it due to other factors such as measurement errors or non-random sampling. This is called the "law of diminishing returns".
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The revenue (in millions of dollars) from the sale of x units at a home supply outlet is given by R(x)=0.12x. The profit (in millions of dollars) from the sale of x units is given by P(x)=0.085x−0.9. What is the cost of producing 8 units? (Please provide your answer in MILLIONS)
The cost of producing 8 units is $1.18 million.
Given that the data:
The revenue function R(x) is 0.12x
And the profit function:
P(x) = 0.085x - 0.9.
To find the cost function C(x), subtract the P(x) from the R(x) as :
C(x) = R(x) - P(x)
C(x) = 0.12x - (0.085x - 0.9)
C(x) = 0.12x - 0.085x + 0.9
C(x) = 0.035x + 0.9
Calculate cost of producing 8 units, put x = 8 in the cost function:
C(x) = 0.035x + 0.9
C(8) = 0.035 × 8 + 0.9
C(8) = 0.28 + 0.9
C(8) = 1.18
Therefore, the cost of producing 8 units is $1.18 million.
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The diameter of a circle is 14km. What is the circles circumference?
Answer:
Step-by-step explanation:
c=d\(\pi\)
c=14x3.14
c=43.96
solve for x. represent your answer on a number line. -2x + 4 < 8 or 3x + 4 < or equal to -5
To solve the inequalities -2x + 4 < 8 and 3x + 4 ≤ -5, we will solve them individually and then represent the solutions on a number line.
For the first inequality, -2x + 4 < 8, we will isolate x:
-2x + 4 - 4 < 8 - 4
-2x < 4
Dividing both sides by -2 (remembering to reverse the inequality when multiplying/dividing by a negative number):
x > -2
For the second inequality, 3x + 4 ≤ -5, we isolate x:
3x + 4 - 4 ≤ -5 - 4
3x ≤ -9
Dividing both sides by 3:
x ≤ -3
Now we represent the solutions on a number line. We mark -2 with an open circle (since x > -2), and -3 with a closed circle (since x can be equal to -3). Then we shade the region to the right of -2 and include -3 to represent the solutions.
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The boys football team is selling game tickets for a football game. Adult admission is $8 and student admission is $6 there are usually twice as many students than adults at the game. If the goal is to make $3000. Write 2 equations. Solve the system of equations, how many student and adult tickets must be sold? Let a = the number of adults and b = the number of students
To make $3000 selling game tickets, the boys football team needs to sell a combination of adult and student tickets. Solving the system of equations gives the number of adult and student tickets that must be sold 150 adult tickets and 300 student tickets.
The first equation relates the number of adults and students: since there are twice as many students as adults, we can write
b = 2a
where b is the number of students and a is the number of adults.
The second equation relates the revenue from ticket sales to the number of adults and students
8a + 6b = 3000
where 8a is the revenue from adult tickets and 6b is the revenue from student tickets.
Now we can substitute the first equation into the second equation to get
8a + 6(2a) = 3000
Simplifying, we get
20a = 3000
Dividing by 20, we get
a = 150
This means we need to sell 150 adult tickets. Using the first equation, we can find the number of student tickets
b = 2a = 2(150) = 300
So we need to sell 300 student tickets.
Therefore, the boys football team must sell 150 adult tickets and 300 student tickets to reach their goal of making $3000.
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The point A(5,-2) is reflected over the point (4, -5) and its image is point B. What are the coordinates of point B?
The position of a point or figure before any transformation is called "preimage"
After undergoing the transformation the resulting point/figure is called "preimage"
So for this exercise, the "preimage" is point A(5,-2)
This point was reflected over the point (4, -5)
To calculate the x-coordinate of B, first calculate the distance between the x-coordinates of point A and the reflection point.
\(d_x=5-4=1\)Next subtract it to de x-coordinate of the reflection point
\(x_B=4-1=3\)For the y-coordinate of B you have to follow the same method, first calculate the difference between the y-coordinates of point A and the reflection point:
\(d_y=-2-(-5)=3\)Next subtract it from the y-coordinate of the reflecting point to determine the y-coordinate of B
\(y_B=-5-3=-8\)The coordinates for point B are (3,-8)
2(5x+3) ? what is the question
Hey there!
“2 (5x + 3)”
• FIRST and ONLY STEP: DISTRIBUTE 2 to ALL OF YOUR NUMBERS in the parentheses
2(5x) + 2(3)
2(5x) = 10x ⬅️ FRONT number
2(3) = 6 ⬅️ BACK number
BOTH OF YOUR NUMBERS ARE POSITIVE SO WE DON’T HAVE TO CHANGE ANYTHING
Answer: 10x + 6 ☑️
Good luck on your assignment and enjoy your day!
~LoveYourselfFirst:)
Answer:
10x+6
Step-by-step explanation:
you have to multiply 2 times 5 then 2 times 3 then multiply 10 times x and write 6 beside it.
3x-2y=-3,-9x+6y=9 solve each system using elimination, state the solution and type of system.
We will see that the system of equations has infinite solutions, each of the form:
y = (3/2)*(x + 1)
How to solve the system of equations?Here we have the system:
3x - 2y = -3
-9x + 6y = 9
Notice that if we add 3 times the first equation to the second one, we get zero.
3*(3x - 2y) + -9x + 6y = 3*(-3) + 9
9x - 6y - 9x + 6y = -9 + 9
0 = 0
This actually means that both equations represent the same line, then, the "two" lines intersect in infinite points, meaning that the system of equations has infinite solutions, which are of the form:
3x - 2y = -3
2y = 3 + 3x
y = (3/2)*(x + 1)
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420.18 = 6 x ?
........l...................
Answer:
70.03
Step-by-step explanation:
420.18/6=70.03
70.03*6=420.18
Answer:
420.18=6x
420.18/6=X
x=70. 03
Step-by-step explanation:
plz make me brainliest
In triangle ABC, the measure of angle B is 50 degrees. Give possible values for the measures of angles A and C if ABC was an acute triangle.
Answer:
Step-by-step explanation:
An acute triangle is a triangle that has all the measures of its angles to be less than 90° i.e none of the angles is greater than 90°
Since of angles in a triangle is 180, hence <A + <B + <C = 180
Given
<B = 50
50 + <A + <C = 180°
<A + <C = 180-50
<A + <C = 130°
Note that all the angles of an acute triangle are also different
Hence the possible values of A and C are 60° and 70° (since their sum must give is 130°)
Another possible values are 55° and 75°
60° and 70°
55° and 75°
on average each year in the united states, how many people are shot? select one: a. 50,000 b. 10,000 c. 100,000 d. 25,000
On average each year in the United States, approximately 100,000 people are shot, making option C the correct choice.
The number of gunshot victims includes various circumstances such as unintentional shootings, law enforcement-related incidents, etc. Gun violence is a significant issue in the U.S., and public opinion varies on the most effective methods to address it, such as through gun control legislation, mental health support, or community-based interventions.
Efforts to reduce gun violence require a comprehensive approach, including understanding its root causes, studying the effectiveness of interventions, and promoting responsible gun ownership. Despite the challenges in addressing this complex issue, many organizations and individuals continue to work towards solutions to prevent gun-related injuries and deaths.
In the United States, approximately 100,000 (Option C) people are shot on average each year.
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Ellie buys a mobile phone in Spain for €352.50
Her brother jack buys an identical phone in Japan for ¥39856 (Japanese Yen)
Using the exchange rate below:
£1= €1.41
£1= ¥188
A) Decide in which county is the mobile phone cheaper
B) Workout by how much (in £).
Answer:
A Japan and B £38
Step-by-step explanation:
Spain £1=€1.41
more €352.50
€352.50÷1.41 ×1 = £250
Japan £1= ¥188
more ¥39856
¥39856÷188×1 =£212
A) Japan is cheaper
B) £250-£212=£38
answer this question and I will give u brainlst.
This looks like a quadratic equation!
Let's first rewrite the equation in the standard form (where the coefficients of x2 and x, as well as the constant term all have absolute values greater than 0)
ax^2 + bx + c = 0
And then use the Quadratic Formula to solve for x.
x = (-b ± √[b^2 - 4ac])/2a
Where a, b, and c are the coefficients of x^2, x, and 1, respectively.
Now, we just need to substitute the constants and solve for x!
-8x^2 + 10x + 15 = 0
a = -8
b = 10
c = 15
x = (-10 ± √[100 - 4(-8)(-15)])/2(-8)
x = (-10 ± √[100 - 240])/-16
x = (-10 ± √-140)/-16
x_1 = -7/16
x_2 = -7/16
Since x must be a real number, we can disregard x_2 and therefore the value of x is -7/16.
So the value of x is -7/16!
If -7/16 isn't the answer you were looking for, then try it in decimal form.
Answer: Let's first rewrite the equation in the standard form (where the coefficients of x2 and x, as well as the constant term all have absolute values greater than 0)
ax^2 + bx + c = 0
And then use the Quadratic Formula to solve for x.
x = (-b ± √[b^2 - 4ac])/2a
Where a, b, and c are the coefficients of x^2, x, and 1, respectively.
Now, we just need to substitute the constants and solve for x!
-8x^2 + 10x + 15 = 0
a = -8
b = 10
c = 15
x = (-10 ± √[100 - 4(-8)(-15)])/2(-8)
x = (-10 ± √[100 - 240])/-16
x = (-10 ± √-140)/-16
x_1 = -7/16
x_2 = -7/16
Since x must be a real number, we can disregard x_2 and therefore the value of x is -7/16.
So the value of x is -7/16!
If -7/16 isn't the answer you were looking for, then try it in decimal form.
wich is -0.4375
Step-by-step explanation:
If real gdp in a particular year is $80 billion and nominal gdp is $240 billion, the gdp price index for that year is 100. 300. 240. 200.
Answer:
If real GDP in a particular year is $80 billion and nominal GDP is $240 billion, the GDP price index for that year is: 300.
Step-by-step explanation:
What is the area of the smallest scalene triangle whose side lengths are prime numbers?
Answer:
area = 10.28 units²
Step-by-step explanation:
Smallest prime numbers I can think of is 2, 3 & 5 but that will not make a triangle.
3, 5, & 7 will
area = 1/2(7)(2.9375) = 10.28 units²
In a sample of 800 students in a university, 320 or 40% are Business majors. The 40% is an example of a sample. descriptive statistics. statistical inference. a population.
The 40% figure mentioned, which represents the proportion of Business majors in a sample of 800 students in a university, is an example of a sample statistic.
Sample statistics are measurements or characteristics derived from a sample, which is a subset of the larger population of interest. In this case, the sample statistic is the proportion of Business majors (40%) calculated from the sample of 800 students.
Descriptive statistics, on the other hand, involve summarizing and describing the main features of a dataset or sample. While the 40% value can be considered a descriptive statistic, it specifically falls under the category of a sample statistic because it is based on data collected from a sample.
Statistical inference, on the other hand, involves making inferences or drawing conclusions about a population based on data from a sample. In this case, the 40% value alone does not allow us to make direct inferences about the entire population of university students.
However, statistical inference techniques could be applied to estimate parameters or test hypotheses about the population proportion based on this sample statistic and potentially other information.
Lastly, a population refers to the entire group or set of individuals, objects, or events of interest. In this context, the population would be all the students in the university, from which the sample of 800 students was drawn.
In summary, the 40% figure representing the proportion of Business majors in a sample of 800 students is an example of a sample statistic. It provides descriptive information about the sample but does not directly represent the entire population or allow for statistical inference without further analysis.
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The water needs of a small farm are to be met by pumping water from a well that can supply water continuously at a rate of 4 L/s. The water level in the well is 20 m below the ground level, and water is to be pumped to a large tank on a hill, which is 58 m above the ground level of the well. A 5-cm internal diameter plastic pipe with a total length of 420 m is used to pump the water. All the losses in the system can be accounted by a head loss equal to 34.3 m. Taking the efficiency of the pump to be 75%, determine the power required to operate the pump.
The power required to operate the pump is approximately 0.0604 kilowatts
The power required to operate the pump, we need to consider the work done against gravity and the head loss in the system.
First, let's calculate the difference in elevation between the well and the tank:
Elevation difference = Height of the tank - Depth of the well
Elevation difference = 58 m - (-20 m)
Elevation difference = 78 m
Next, let's calculate the total head loss in the system, taking into account the head loss given as 34.3 m:
Total head loss = Elevation difference + Head loss
Total head loss = 78 m + 34.3 m
Total head loss = 112.3 m
Now, let's calculate the flow rate of water through the pipe using the given diameter:
Radius of the pipe = 5 cm / 2 = 2.5 cm = 0.025 m
Cross-sectional area of the pipe = π × (0.025 m)² = 0.00196 m²
Given that the water is pumped at a rate of 4 L/s, which is equivalent to 0.004 m³/s, we can calculate the velocity of water:
Velocity of water = Flow rate / Cross-sectional area
Velocity of water = 0.004 m³/s / 0.00196 m²
Velocity of water ≈ 2.041 m/s
Now, let's calculate the power required to operate the pump using the equation:
Power = (Flow rate × Total head loss) / Pump efficiency
Flow rate = 0.004 m³/s
Total head loss = 112.3 m
Pump efficiency = 75% = 0.75
Power = (0.004 m³/s × 112.3 m) / 0.75
Power ≈ 0.0604 kW
Therefore, the power required to operate the pump is approximately 0.0604 kilowatts.
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The z-score for a particular observation is z = -1.2. This means the observation is
The observation is located to the left of the mean by a distance of 1.2 standard deviations.
How to observe the mean of situation?The z-score of an observation represents the number of standard deviations the observation is away from the mean.
If the z-score for a particular observation is z = -1.2, this means that the observation is 1.2 standard deviations below the mean.
If the mean is represented by μ and the standard deviation by σ, then we can express this observation as:
observation = μ + (z * σ)
observation = μ + (-1.2 * σ)
This means that the observation is located to the left of the mean by a distance of 1.2 standard deviations.
For example, The z-score represents the number of standard deviations an observation is above or below the mean of the distribution.
In this case, a z-score of -1.2 indicates that the observation is 1.2 standard deviations below the mean height of the group.
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How do I do this problem? We’ve been learning this recently and there’s a test we have on Thursday And I’m still not quite sure how to do these types of problems
Answer:
I have a test on thursday toooooooo
Step-by-step explanation:
What is the perimeter of this shape made of algebra
tiles?
P=
The calculated perimeter of the shape is 4x + 9
Calculating the perimeter of the shapeFrom the question, we have the following parameters that can be used in our computation:
The shape
Calculating the side lengths, we have
Area = Base * Height
This gives
Base * Height = x
So, we have
Base = x and Height = 1
The perimeter of the shape is the sum of the side lengths
So, we have
P = x + x + 1 + 1 + 1 + 1 + 1 + 1 + 1 + x + x + 1 + 1
Evaluate
P = 4x + 9
Hence the perimeter is 4x + 9
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writing equations of lines parallel and perpendicular to a given line through a point
To find the equation of a line parallel or perpendicular to a given line through a point, determine the slope and substitute the point's coordinates into the slope-intercept form.
To find the equation of a line parallel or perpendicular to a given line through a specific point, follow these steps:
1. Determine the slope of the given line. If the given line is in the form y = mx + b, the slope (m) will be the coefficient of x.
2. Parallel Line: A parallel line will have the same slope as the given line. Using the slope-intercept form (y = mx + b), substitute the slope and the coordinates of the given point into the equation to find the new y-intercept (b). This will give you the equation of the parallel line.
3. Perpendicular Line: A perpendicular line will have a slope that is the negative reciprocal of the given line's slope. Calculate the negative reciprocal of the given slope, and again use the slope-intercept form to substitute the new slope and the coordinates of the given point. Solve for the new y-intercept (b) to obtain the equation of the perpendicular line.
Remember that the final equations will be in the form y = mx + b, where m is the slope and b is the y-intercept.Therefore, To find the equation of a line parallel or perpendicular to a given line through a point, determine the slope and substitute the point's coordinates into the slope-intercept form.
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1. Which equation represents a line that is perpendicular to the line represented by 2x - y =7
The equation that represents a line that is perpendicular to the line represented by 2x - y = 7 is y = -1/2x + 6
Equation of a lineThe equation of a line in slope-intercept form is expressed as;
y = mx + b
where;
m is the slope
b is the y-intercept
For two lines to be perpendicular, the product of their slope must be -1
Given the equation 2x - y =7
Rewrite
y = 2x - 7
The slope of the line is 2, the slope of the line perpendicular must be -1/2. Hence from the given option, the equation that represents a line that is perpendicular to the line represented by 2x - y = 7 is y = -1/2x + 6
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PLEASE HELP ASAP
What is 7/8 expressed as a percent? Enter your answer as a decimal in the box.
Answer:
87.5
Step-by-step explanation:
The ________________ manages water resources in a 16-county region that stretches from Orlando to the Florida Keys, serving a population of 8.1 million (hint: Remember the water conservation calculator
South Florida Water Management
The South Florida Water Management District is a regional governmental agency that manages the water resources in the southern half of the state, covering 16 counties from Orlando to the Florida Keys and serving a population of 9 million residents.
Water management is the control and movement of water resources to minimize damage to life and property and to maximize efficient beneficial use. Good water management of dams and levees reduces the risk of harm due to flooding.
Water management is the activity of planning, developing, distributing and optimum use of water resources under defined water polices and regulations.
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The percentage of alcohol in the cough syrup was measured in 101 randomly selected samples. The sample standard deviation is s = 0.15 Construct a 90% two-sided confidence interval for o Round your answers to three decimal places (e.g. 98.765)
We can be 90% confident that the population standard deviation of alcohol in cough syrup falls between 0.017 and 0.027. Rounded to three decimal places, the confidence interval is [0.017, 0.027].
To construct a 90% two-sided confidence interval for the population standard deviation of alcohol in cough syrup, we can use the formula:
CI = [(n-1)s^2 / χ^2(α/2, n-1), (n-1)s^2 / χ^2(1-α/2, n-1)]
Where CI is the confidence interval, n is the sample size (101 in this case), s is the sample standard deviation (0.15), χ^2 is the chi-squared distribution, and α is the significance level (0.1 for a 90% confidence interval).
Using a chi-squared distribution table or calculator, we can find that χ^2(0.05, 100) = 124.34 and χ^2(0.95, 100) = 77.93.
Plugging in the values, we get:
CI = [(100)(0.15^2) / 124.34, (100)(0.15^2) / 77.93]
CI = [0.017, 0.027]
Therefore, we can be 90% confident that the population standard deviation of alcohol in cough syrup falls between 0.017 and 0.027. Rounded to three decimal places, the confidence interval is [0.017, 0.027].
The percentage of alcohol in the cough syrup was measured in 101 randomly selected samples with a sample standard deviation of s = 0.15. To construct a 90% two-sided confidence interval for the population standard deviation (σ), you will need to use the chi-square distribution.
However, the given information is not sufficient to construct the confidence interval, as the sample mean (x) is not provided. If the sample mean were given, you could use the formula for the confidence interval with the chi-square distribution and round your answers to three decimal places.
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A student club collected 203 donations for its upcoming charity drive. Some people donated $5 each and the rest donated $10 each. If the club collected a total of $1295, how many people pledged $5?
A scratch-off lottery ticket features four symbols in a particular order, chosen from nine possible symbols. If a symbol is used on a ticket, it cannot be repeated. How many different tickets can be made using these guidelines?
there are 3024 different scratch-off lottery tickets that can be made using these guidelines.
1. Let's use the terms "donated", "collected", and "symbols" for the first question:
Let x represent the number of people who donated $5 each and y represent the number of people who donated $10 each. We have the following equations based on the information given:
x + y = 203 (total donations collected)
5x + 10y = 1295 (total amount donated)
Now, we can solve the system of equations:
First, isolate y from the first equation:
y = 203 - x
Next, substitute this into the second equation:
5x + 10(203 - x) = 1295
Simplify the equation:
5x + 2030 - 10x = 1295
Combine like terms:
-5x = -735
Now, divide both sides by -5:
x = 147
So, 147 people pledged $5 each.
2. For the scratch-off lottery ticket question, we have 9 possible symbols, and each ticket has 4 symbols in a particular order, without repetition. To determine the number of different tickets that can be made, we can use the permutation formula:
nPr = n! / (n - r)!
Here, n = 9 (total symbols) and r = 4 (symbols chosen for each ticket).
9P4 = 9! / (9 - 4)!
= 9! / 5!
= (9 × 8 × 7 × 6 × 5 × 4 × 3 × 2 × 1) / (5 × 4 × 3 × 2 × 1)
= (9 × 8 × 7 × 6)
Now, multiply these numbers:
= 3024
So, there are 3024 different scratch-off lottery tickets that can be made using these guidelines.
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PLEASE HELP ASAP
The graph of which function has an axis of symmetry at x = one-quarter?
A: f(x) = 2x2 + x – 1
B: f(x) = 2x2 – x + 1
C: f(x) = x2 + 2x – 1
D: f(x) = x2 – 2x + 1
Answer:
its A) f(x)= 2\(x^{2}\)+x-1
Step-by-step explanation:
Answer: A sounds correct
Step-by-step explanation:
The legs of a right triangle have lengths x and x + 2. If x = 6, what is the length of the hypotenuse?
A. 4
B. 6
C. 8
D. 10