The graph of the inequality is a downward-opening parabola that passes through (0, 7) and (8, -9). The shaded region is below the curve.
y≤-1/2x² + 4x + 7
The inequality is a quadratic function in standard form.
To graph it, we can find the vertex and the x-intercepts.
The vertex is at the point (h, k) where h = -b/2a and k = f(h), and f(x) = -1/2x² + 4x + 7.
a = -1/2, b = 4, and c = 7,
so h = -b/2a = -4/(-1) = 4, and
k = f(h) = -1/2(4)² + 4(4) + 7 = 15.
So the vertex is at (4, 15).
Now let us find the x-intercepts by setting y value as 0 and solve for x:
0 ≤ -1/2x² + 4x + 7
1/2x² - 4x - 7 ≤ 0
x² - 8x - 14 ≤ 0
We find roots by using the quadratic formula
x = (8 ± √8² - 4(1)(-14))) / 2
x = 4 ± √18
So the x-intercepts are 0.34 and 7.66.
Hence, the graph of the inequality is a downward-opening parabola that passes through (0, 7) and (8, -9). The shaded region is below the curve.
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Explain the graph of the inequality y≤-1/2x² + 4x + 7?
In a class of 25 students, the grades were normally distributed with a mean of 78 and a standard
deviation of 6.5. How many students scored above an 87?
Step-by-step explanation:
The mean is 78
87 is 9 points above the mean
this is 9 / 6.5 = + 1.39 standard deviations above the mean
z -score =+ 1.39 which represents .9177 ( from table )
or 91.77% scored LESS than this
the remaining 8.23% scored HIGHER than this
8.23% * 25 students = .0823 * 25 = ~ 2 students
Look at this rectangular prism:
3 ft
6 ft
3 ft
If all three dimensions are doubled, then which of the following statements about its surface
area will be true?
Step-by-step explanation:
SA = 2 ( 3x6 + 6x3 + 3x3) = 90 ft^2 now double everything
SA = 2 ( 6x12 + 12 x6 + 6x 6 ) = 360 ft^2 FOUR times larger SA
Please help asp don't put random answers please
The highlighted part of the circle is an inscribed angle.
Given that a circle is centered at O.
From the provided diagram,
A circle is centered at O.
YH is the diameter of the circle.
BK is the tangent of the provided circle at K.
And a secant of the circle BR.
As per the given choices,
Tangent: the line BK is tangent to a given circle.
center: the center of the circle is at O.
Central angle: ∠ROH.
Inscribed angle: ∠OYR.
An inscribed angle is the angle that an arc at any point on the circle subtends.
Therefore, an inscribed angle is ∠OYR.
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Help!!!!! I will give brainless
Answer:
y = 0.833x + 2.67
Step-by-step explanation:
Important Info:
Slope intercept form:
y = mx + b
where;
m = slope
b = y - intercept
x,y = distance of the line from x-axis/y-axis
Slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Solve:
Find two point on the graph:
(-2,1) (4,6)
Using slope formula to find slope:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
[tex]m=\frac{6-1}{4-(-2)}[/tex]
[tex]m=\frac{6-1}{4+2}[/tex]
[tex]m=\frac{5}{6}[/tex]
[tex]m=0.833[/tex]
Now, put it in slope intercept form:
y = 0.833x + b
To find "b" we have to chose one order pair. Let's use (-2,1) and use it to substitute x and y.
y = mx + b
1 = 0.833x(-2) + b
1 = -1.67 + b
b = 2.67
Now, put it in slope intercept form:
y = 0.833x + 2.67
Hence, the equation for that graph is; y = 0.833x + 2.67
RevyBreeze
a trough for feeding milk cows is 8 feet long, the ends of the trough are in the shape of an equilateral triangle whose sides are 2 feet long. grain is poured into the trough at the rate of 5 cubic feet per minute. find the rate at which the grain level is rising when the depth reaches 8 inches.
When the depth reaches 8 inches, the rate at which the grain level is rising is approximately (15 / (2 * sqrt(3))) ft/min.
To find the rate at which the grain level is rising when the depth reaches 8 inches, we can consider the volume of the grain in the trough and its rate of change with respect to time.
The trough is in the shape of an equilateral triangle, so the cross-sectional area of the trough at any depth can be calculated using the formula: A = (sqrt(3)/4) * s^2, where s is the length of the side of the equilateral triangle.
In this case, the length of the side of the equilateral triangle is 2 feet, so the cross-sectional area of the trough is A = (sqrt(3)/4) * 2^2 = sqrt(3) square feet.
Given that the trough is 8 feet long, the volume V of the grain in the trough at any depth h can be calculated as V = A * h.
Now, let's differentiate both sides of the equation with respect to time t to find the rate at which the volume is changing: dV/dt = d(Ah)/dt.
Since the length of the trough remains constant, dh/dt represents the rate at which the depth is changing.
Therefore, dV/dt = A * (dh/dt).
We are given that the grain is poured into the trough at a rate of 5 cubic feet per minute, so dV/dt = 5 ft^3/min.
At the depth of 8 inches (or 8/12 = 2/3 feet), we want to find the rate at which the grain level is rising, which is dh/dt.
Plugging in the known values, we have: 5 = (sqrt(3) * h) * (dh/dt).
Simplifying the equation, we find: dh/dt = 5 / (sqrt(3) * h).
Substituting h = 2/3 (depth in feet), we can calculate the rate at which the grain level is rising.
dh/dt = 5 / (sqrt(3) * (2/3)) = 5 / (sqrt(3) * 2/3) = 5 / (2 * sqrt(3) / 3) = 5 * 3 / (2 * sqrt(3)) = (15 / (2 * sqrt(3))) ft/min.
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Hani sells postcards for $3 each. Accounting for fixed costs, he sold 7 postcards for a net profit of $1. Write an equation in point-slope form that represents this relationship?
OA y-1-3(x-7)
OB y-7-3(x-1)
OC y 1-3(x+7)
OD. y+7-3(x+1)
The equation in point-slope form that represents this relationship is y - 1 = 3(x - 7). So, the correct option is OA.
To write an equation in point-slope form, we need to use the formula: y - y1 = m(x - x1), where (x1, y1) is a point on the line, and m is the slope.
In this case, we are given that Hani sells postcards for $3 each (slope = 3), and he sold 7 postcards for a net profit of $1. So, we have a point (7, 1) on the line, where 7 represents the number of postcards sold (x1) and 1 represents the net profit (y1).
Using this information, we can plug the values into the point-slope form equation:
y - 1 = 3(x - 7)
Thus, the correct answer is OA: y - 1 = 3(x - 7).
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what are the dimensions of the largest rectangle that can be formed if all the sides (including the partition) sum to 600 units
The dimensions of the largest rectangle that can be formed if all the sides (including the partition) sum to 600 units are 150 units x 150 units. This solution yields an area of 22,500 square units.
To find the dimensions of the largest rectangle that can be formed if all the sides (including the partition) sum to 600 units, we can use the concept of optimization. Let's assume that the rectangle has a length of L and a width of W, with a partition dividing it into two smaller rectangles.
Since all the sides (including the partition) sum to 600 units, we can express this mathematically as:
L + W + 2x = 600
where x represents the length of the partition. Rearranging the equation, we get:
L + W = 600 - 2x
The area of a rectangle is given by the formula A = L x W. To find the largest possible area of the rectangle, we need to maximize this function.
Substituting the above equation into the area formula, we get:
A = (600 - 2x - W) x W
Expanding and simplifying, we get:
A = 600W - 2W^2 - Wx
To find the maximum value of A, we can differentiate it with respect to W and set it equal to zero:
dA/dW = 600 - 4W - x = 0
Solving for W, we get:
W = (600 - x)/4
Substituting this value of W back into the equation for A, we get:
A = (600 - x)^2/16
To maximize A, we need to minimize x. Since x represents the length of the partition, this means that the partition should be as small as possible. Therefore, the largest rectangle that can be formed will be a square with sides of 150 units, and the partition will have a length of zero.
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What do the y-coordinates on the least-squares regression line represent?
Choose the correct answer below.
O A. The y-coordinates represent the minimum expected value of the response variable for any given value of the explanatory variable.
O B. The y-coordinates represent the values of the explanatory variable.
O C. The y-coordinates represent the mean value of the response variable for any given value of the explanatory variable
O D. The y-coordinates represent the maximum expected value of the response variable for any given value of the explanatory variable.
Halp me this the question
Answer:
The answer is 37 + 28 + 31 =96
Step-by-step explanation:
Hope this helps!
an ecologist is investigating the proportion of plants in an ecosystem that are liverworts. she hypothesizes that, in this population, 40% of the plants are liverworts. however, unbeknownst to her, the actual percentage is 55%. she will put her hypothesis to the test by taking an independent sample of 35 plants from this population, and then applying a binomial hypothesis test. the null distribution for this binomial test will be binomial(35,p), but for which value of p?
For the binomial hypothesis test, the null distribution is assumed to follow a binomial distribution with a specified value of p. In this case, since the ecologist hypothesizes that 40% of the plants are liverworts, the null distribution will be binomial(35, 0.40).
The value of p in the binomial distribution represents the probability of success (in this case, the probability of selecting a liverwort plant) under the null hypothesis. Therefore, in this hypothesis test, the value of p is 0.40, as specified in the ecologist's hypothesis.
By assuming a binomial distribution with p = 0.40, the ecologist can compare the observed proportion of liverworts in the sample to the expected proportion under the null hypothesis to evaluate whether there is evidence to support or reject the hypothesis.
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S, In triangle MAH below, MT is the perpendicular bisector of AH.
A
Which statement is not always true?
A. AMAH is isosceles.
B. AMAT is isosceles.
C. MT bisects ZAMH.
D. LA and ZTMH are complementary.
Statement B may or may not be true, depending on whether AM = MT, and statement D may or may not be true, depending on the Orientation of LA.
In triangle MAH with MT as the perpendicular bisector of AH, let's consider the given statements.
A. AMAH is isosceles.
If MT is the perpendicular bisector of AH, then AM = MH. Therefore, triangle AMAH is isosceles, and statement A is always true.
B. AMAT is isosceles.
Since MT is the perpendicular bisector of AH, then AT = TH. However, there is not enough information to determine whether AM = MT. Therefore, statement B may or may not be true, depending on whether AM = MT.
C. MT bisects ZAMH.
Since MT is the perpendicular bisector of AH, then MT also bisects the base of triangle MAH, which is ZAMH. Therefore, statement C is always true.
D. LA and ZTMH are complementary.
Since MT is the perpendicular bisector of AH, then ZTMH is a right angle. However, there is not enough information to determine whether LA is perpendicular to MT. Therefore, statement D may or may not be true, depending on the orientation of LA.
statement B may or may not be true, depending on whether AM = MT, and statement D may or may not be true, depending on the orientation of LA. Therefore, the statement that is not always true is:
B. AMAT is isosceles.
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The science and math club surveyed students, parents and teachers to determine the average amount of water usage per day. The results are show in the graph below.
Which type of graph best displays the data?
A. circle graph
B. line graph
C. bar graph
D. Venn diagram
Bar graph best displays the data. Therefore, the correct option is option C among all the given options.
In mathematics, a graph is a visual representation or diagram that shows facts or values in an ordered way. The relationships between two or more items are frequently represented by the points on a graph. Bar graph best displays the data.
Therefore, the correct option is option C.
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find the general solution of the given system. dx dt = 7x + y dy dt = −2x + 5y
The general solution of the given system of differential equations is:
y = -37 × (1/2)x² + 5x + C, where C is the constant of integration.
General solution of differential equations:The general solution of a system of derivative equations refers to a set of equations or formulas that represent all possible solutions of the given system. It includes an arbitrary constant or constants, which can take different values to yield different specific solutions.
The form of the general solution depends on the nature of the equations and the techniques used to solve them.
Here we have
dx/dt = 7x + y and dy/dt = -2x + 5y
To find the general solution of the given system of differential equations:
=> dx/dt = 7x + y __ (1)
=> dy/dt = -2x + 5y __(2)
Solve it using the method of simultaneous equations.
Solve Equation (1) for y:
y = dx/dt - 7x
Substitute the value of y in Equation (2):
dy/dt = -2x + 5(dx/dt - 7x)
Simplify the equation:
dy/dt = 5dx/dt - 2x - 35x
dy/dt = 5dx/dt - 37x
Rearrange the equation:
dy/dt - 5dx/dt = -37x
Multiply through by dt:
dy - 5dx = -37x dt
Integrate both sides of the equation:
∫(dy - 5dx) = ∫(-37x) dt
Integrate each term:
y - 5x = -37 * (1/2)x² + C
Simplify the equation:
y = -37 × (1/2)x² + 5x + C
Therefore,
The general solution of the given system of differential equations is:
y = -37 × (1/2)x² + 5x + C, where C is the constant of integration.
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6x-30/30-6x x 10/9x-45?
Answer:
−2/3 (10x3 ( raised to the third power) −9 +69)
Step-by-step explanation:
how many distinguishable ways are there to rearrange the letters in the word “symbolism”?
Answer: The word "symbolism" contains 9 letters. To find the number of distinguishable ways to rearrange these letters, we can use the formula for the number of permutations of n objects, which is n! (n factorial).
However, in this case, there are repeated letters, specifically "s" and "m". To account for this, we need to divide the total number of permutations by the factorials of the number of times each repeated letter appears.
The letter "s" appears twice, so we divide by 2!. Similarly, the letter "m" also appears twice, so we divide by 2!.
Therefore, the number of distinguishable ways to rearrange the letters in the word "symbolism" is:
9! / (2! × 2!) = 362,880 / 4 = 90,720
So there are 90,720 distinguishable ways to rearrange the letters in the word "symbolism".
a linear programming problem with decision variable(s) can be solved by a graphical solution method. a. three b. four c. two d. five
A linear programming problem with two decision variables can be solved by a graphical solution method. In this method, the constraints and the objective function of the linear programming problem are graphed on a two-dimensional coordinate plane, and the optimal solution is found at the intersection of the feasible region (the area defined by the constraints) and the level curve of the objective function.
The graphical solution method is a simple and intuitive way to solve linear programming problems with few decision variables, but it becomes impractical as the number of decision variables and constraints increase. In such cases, more complex algorithms, such as the simplex method or interior point methods, are used to find the optimal solution.
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prove the identity. sinh(2x) = 2 sinh(x) cosh(x)
To prove the identity sinh(2x) = 2 sinh(x) cosh(x), we can use the definitions of sinh(x) and cosh(x) and apply trigonometric identities for exponential functions.
We start with the left-hand side of the identity, sinh(2x). Using the definition of the hyperbolic sine function, sinh(x) = (e^x - e^(-x))/2, we can substitute 2x for x in this expression, giving us sinh(2x) = (e^(2x) - e^(-2x))/2.
Next, we focus on the right-hand side of the identity, 2 sinh(x) cosh(x). Again using the definitions of sinh(x) and cosh(x), we have 2 sinh(x) cosh(x) = 2((e^x - e^(-x))/2)((e^x + e^(-x))/2).
Expanding this expression, we get 2 sinh(x) cosh(x) = (e^x - e^(-x))(e^x + e^(-x))/2.
By simplifying the right-hand side, we have (e^x * e^x - e^x * e^(-x) - e^(-x) * e^x + e^(-x) * e^(-x))/2.
This simplifies further to (e^(2x) - 1 + e^(-2x))/2, which is equal to the expression we derived for the left-hand side.
Hence, we have proved the identity sinh(2x) = 2 sinh(x) cosh(x) by showing that the left-hand side is equal to the right-hand side through the manipulation of the exponential functions.
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a decision variable is an algebraic variable that represents a quantifiable decision to be made
T/F
Answer:
f
Step-by-step explanation:
Chau made $119 for 7 hours of work.
At the same rate, how many hours would he have to work to make
$85 ?
Answer: 5 hours
Step-by-step explanation:
Since Chau works at a constant rate, we need to first find the unit price. We can do this by dividing 119/7 which equals 17. So Chau earns $17 per hour. Next we need to find how long he needs to work to earn $85. We can do that by dividing 85/17 which equals 5 hours.
So the answer is 5 hours.
Write the equation of the circle that has a diameter of 8 and a center at (-1, 9).
Answer:
(x + 1)² + (y - 9)² = 4²
Step-by-step explanation:
equation of circle is (x - a)² + (y - b)² = r²
where a is x-coordinate of centre of circle, b is y-coordinate of centre of circle, r is the radius. radius = half of diameter.
(x - -1)² + (y - 9)² = 4²
(x + 1)² + (y - 9)² = 4²
Answer:
(x + 1)² + (y - 9 )² = 43
Step-by-step explanation:
got it right on my test!
PLEASE HELP!!! LIMITED TIME WIL GIVE BRAINLY POINTS
The distribution of pairs of shoes for some teenagers’ closets is as follows.
Find the probability a teenager has exactly 1 pair of shoes in their closet.
P(1) = [?]
Answer:
18 + 30 + 57 + 30 + 15 = 150
P(1) = 18/150 = 3/25 = .12 = 12%
The probability that a teenager has exactly 1 pair of shoes in their closet is [tex]\( \dfrac{3}{25} \)[/tex].
Given the distribution:
Pairs of Shoes | Frequency
--------------------------
1 | 18
2 | 30
3 | 57
4 | 30
5 | 15
The frequency of teenagers with exactly 1 pair of shoes is 18.
The total number of teenagers is the sum of all the frequencies:
Total number of teenagers = 18 + 30 + 57 + 30 + 15
= 150
Now, the probability:
[tex]\[ P(1) = \frac{\text{Number of teenagers with exactly 1 pair of shoes}}{\text{Total number of teenagers}} = \frac{18}{150} \][/tex]
[tex]\[ P(1) = \frac{3}{25} \][/tex]
So, the probability is [tex]\( \dfrac{3}{25} \)[/tex].
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WILL GIVE BRAINLIST TO BEST ANSWER HELPP
Find the value of x that makes lines u and v parallel.
If the shown angles are equal (corresponding angles), then lines u and v are parallel.
65 = 12x + 5
60 = 12x
5 = x
So when x = 5, lines u and v are parallel.
Find a radian measure
CAlculate the radian measure of a 60 degree angle Use any method you like including sketching in the circle diagram provided explain or show your reasoning
If you know 2π is 360°, you can solve for 60°. 180 is half of 360, so π.
For converting 60 degrees to radians:
60×[tex]\frac{Pie}{180}[/tex] = π/3
60 degrees in radians is π/3
Hope it helps!
Please convert the following job offer into a salary in an average USA city:
$42,000 - Billings, MT - $3,800 in Benefits - Cost of Living Index = 95.3
Round your answers to the nearest cent (two decimal places)!
Use suitable property to find the product step by step pls
8759 x 2391 x 2391 x 7759
The product of 8759 x 2391 x 2391 x 7759 is 388,895,526,171,961.
To find the product of 8759 x 2391 x 2391 x 7759, we can use the associative property of multiplication. This property states that the way in which we group the factors does not affect the result of the multiplication.
So, we can group the factors in pairs and multiply each pair together before multiplying the products. Let's start with 8759 x 7759 and then multiply the products of 2391 x 2391.
8759 x 7759 = 67,907,881
2391 x 2391 = 5,716,881
Now, we can multiply these two products together to get the final result.
67,907,881 x 5,716,881 = 388,895,526,171,961
Therefore, the product of 8759 x 2391 x 2391 x 7759 is 388,895,526,171,961.
Using the associative property of multiplication can make it easier to find the product of a large number of factors. By grouping the factors in pairs and multiplying each pair together, we can simplify the problem and make it more manageable.
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the researchers calculated a chi-square value of 29.25. if there are three degrees of freedom and the significance level is
The given statement is incomplete as the significance level is not mentioned. The chi-square value of 29.25 indicates that there is a statistically significant difference between the observed and expected frequencies of the categorical data.
The degrees of freedom in this case are three, which means that the data has been divided into four categories. The exact interpretation of the chi-square value depends on the significance level. If the significance level is 0.05, which is commonly used, then the calculated chi-square value is greater than the critical value of 7.815.
This means that the null hypothesis of no difference between the observed and expected frequencies can be rejected at the 0.05 level of significance. In other words, there is evidence to support the alternative hypothesis that there is a significant difference between the observed and expected frequencies.
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Mrs Jendor sold a radio set 29,700, and made a profit of 10% on cost price,calculate his profit
To calculate Mrs Jendor's profit, we first need to determine the cost price of the radio set.
Let's assume that the cost price of the radio set is "x".
We know that Mrs Jendor made a profit of 10% on the cost price. This means that the selling price is 110% of the cost price.
We can write this as:
Selling price = Cost price + Profit
29,700 = x + 0.1x
Simplifying this equation, we get:
1.1x = 29,700
x = 27,000
So, the cost price of the radio set is 27,000.
Now, we can calculate the profit made by Mrs Jendor:
Profit = Selling price - Cost price
Profit = 29,700 - 27,000
Profit = 2,700
Therefore, Mrs Jendor made a profit of 2,700 on the sale of the radio set.
question of cone surface area
The solution is: the approximate surface area of the cone is 103.6 in², which is closest to option (B).
To find the exact surface area of the cone, we need to know the slant height of the cone. Since we are not given the slant height, we can use the Pythagorean theorem to find it:
Slant height² = h² + r²
Slant height² = 4² + 3²
Slant height² = 16 + 9
Slant height² = 25
Slant height = 5
Now that we know the slant height, we can use the formula for the surface area of a cone:
Surface area = πr² + πr×s
where s is the slant height
Surface area = π(3²) + π(3)(5)
Surface area = 9π + 15π
Surface area = 24π
Therefore, the exact surface area of the cone is 24π square units.
The surface area of a cone is given by:
Surface area = πr² + πr×s
where r is the radius of the circular base and s is the slant height.
We are given that the diameter of the circular base is 6 inches, so the radius is 3 inches. We are also given that the slant height is 8 inches. Using these values, we can calculate the surface area of the cone:
Surface area = π(3²) + π(3)(8)
Surface area = 9π + 24π
Surface area = 33π
We can approximate π as 3.14, so:
Surface area ≈ 33(3.14)
Surface area ≈ 103.62
Therefore, the approximate surface area of the cone is 103.6 in², which is closest to option (B).
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complete question:
PLEASE ANSWER THESE QUESTIONS THROUGHLY FOR BRAINLIEST!!
1.)
In this figure, h = 4, and r = 3.
What is the exact surface area of the cone?
(picture inserted below!!!!)
2.)
The diameter of a cone's circular base measures 6 inches, and the slant height of the cone is 8 inches.
What is the approximate surface area of the cone?
94.2 in²
103.6 in²
131.9 in²
257.5 in²
3.)
The slant height of a cone measures 15 centimeters. The height of the cone measures 12 centimeters.
What is the exact surface area of the cone?
4.)
The radius of the circular base of a cone measures 1.6 inches, and its slant height measures 2.5 inches.
What is the approximate lateral area of the cone?
Use π≈3.14.
round to the nearest tenth.
5.) The area of the circular base of a cone is 9π cm², and the slant height of the cone is four times the radius of the cone.
What is the approximate lateral area of the cone?
Use π≈3.14.
round to the nearest whole number.
the heights of players on high school basketball teams in a certain state are approximately normally distributed with a mean of 73 inches and a standard deviation of 3.75 inches. consider the local high school team to be a random selection of 11 players from the state. what is the approximate probability the 11 players on a team will have a mean height of less than 72 inches?
The approximate probability the 11 players on a team will have a mean height of less than 72 inches is 0.047.
probability was calculated, we need to use the central limit theorem. This theorem states that the sample mean of a large enough sample (in this case, n=11 is considered large enough) taken from a population with any distribution will follow a normal distribution with a mean equal to the population mean and a standard deviation equal to the population standard deviation divided by the square root of the sample size.
Using this theorem and the given information, we can calculate the standard error of the sample mean as follows:
Standard error = standard deviation / square root of sample size
= 3.75 / sqrt(11)
= 1.13
Next, we need to standardize the sample mean using the z-score formula:
z = (sample mean - population mean) / standard error
= (72 - 73) / 1.13
= -0.88
Finally, we can use a standard normal distribution table or calculator to find the probability that a z-score is less than -0.88, which is approximately 0.047.
the approximate probability the 11 players on a team will have a mean height of less than 72 inches is 0.047, calculated using the central limit theorem and the z-score formula.
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Solve the right triangle. If two sides are given, give angles in degrees and minutes.
B=68°35', b = 8 km
Round side lengths to one decimal place.
The sides of the right triangle are
hypotenuse = 8.6 km
the other leg = 3.1 km
the other angle = 21°25'
How to find the sides of the right triangleThe sides of the right triangle are solved using the given details
The third angle say A is solved by
third angle = 180 - 90 - 68°35'
third angle = 21°25'
The sides, a
tan 21°25' = a / 8
a = 8 * tan 21°25'
a = 3.13
a = 3.1
The hypotenuse (say c) is solved by
c = √(a² + b²)
c = √(3.1² + 8²)
c = √(73.61)
c = 8.58
c = 8.6
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