Answers
Answer:
either SAS or not possible, i believe its SAS tho.
Related Questions
TRUE/FALSE. if n = 2 k −1 for k ∈ n, then every entry in row n of pascal’s triangle is odd.
Answers
The statement "if n = 2k - 1 for k ∈ N, then every entry in row n of Pascal’s triangle is odd" is true.
Pascal's triangle is a triangular array of numbers where each number is the sum of the two numbers directly above it. The first row is just the number 1, and each subsequent row starts and ends with 1, with the interior numbers being the sums of the two numbers above them.
Now, if n = 2k - 1 for some integer k, then we can write n as:
n = 2k - 1 = (2-1) * k + (2-1)
which means that n can be expressed as a sum of k 1's. This implies that the nth row of Pascal's triangle has k + 1 entries. Moreover, since the first and last entries of each row are 1, this leaves k - 1 entries in the interior of the nth row.
Now, we know that the sum of two odd numbers is even, and the sum of an even number and an odd number is odd. Therefore, when we add two adjacent entries in Pascal's triangle, we get an odd number if and only if both entries are odd. Since the first and last entries of each row are odd, and each row has an odd number of entries, it follows that all the entries in the nth row of Pascal's triangle are odd.
Therefore, the statement "if n = 2k - 1 for k ∈ N, then every entry in row n of Pascal’s triangle is odd" is true.
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I need to solve for h. V=1/3 s square h
Answers
Since the given equation is
\(V=\frac{1}{3}sh^2\)We need to solve for each, then
We have to isolate h on one side and the other terms on the other side
Then multiply both sides by 3
\(\begin{gathered} (3)\times V=\frac{1}{3}\times(3)sh^2 \\ 3V=sh^2 \end{gathered}\)Now, divide both sides by s
\(\begin{gathered} \frac{3V}{s}=\frac{sh^2}{s} \\ \frac{3V}{s}=h^2 \\ h^2=\frac{3V}{s} \end{gathered}\)Take a square root for both sides
\(\begin{gathered} \sqrt[]{h^2}=\pm\sqrt[]{\frac{3V}{s}} \\ h=\pm\sqrt[]{\frac{3V}{s}} \end{gathered}\)For which system of inequalities is (3,-7) a solution? A. x + y < -4 3x + 2y < -5 B. x + y ≤ -4 3x + 2y < -5 C. x + y < -4 3x + 2y ≤ -5 D. x + y ≤ -4 3x + 2y ≤ -5
Answers
Answer:
The correct option is;
D x + y ≤ -4, 3·x + 2·y ≤-5
Step-by-step explanation:
A. For the system of inequality, x + y < -4, 3·x + 2·y <-5
We have;
y < -4 - x, When x = 3, y < -7
y < -2.5 - 1.5·x, When x = 3, y = -7
B. For the system of inequality, x + y ≤ -4, 3·x + 2·y <-5
We have;
y ≤ -4 - x, When x = 3, y ≤ -7
y < -2.5 - 1.5·x, When x = 3, y < -7
C. For the system of inequality, x + y < -4, 3·x + 2·y ≤-5
We have;
y < -4 - x, When x = 3, y < -7
y ≤ -2.5 - 1.5·x, When x = 3, y ≤ -7
D. For the system of inequality, x + y ≤ -4, 3·x + 2·y ≤-5
We have;
y ≤ -4 - x, When x = 3, y ≤ -7
y ≤ -2.5 - 1.5·x, When x = 3, y ≤ -7
Therefore, the system of inequality for which (3, -7) is a solution is D, x + y ≤ -4, 3·x + 2·y ≤-5.
a rectangle is 6 times as long as it is wide. the perimeter is 28 feet. find the dimensions.
Answers
Let x be the width of the rectangle. Since the length of the is 6 times as long as it is wide, the length would be 6x.Perimeter of the rectangle is given as 28 feet. So, the equation would be,2x + 2(6x) = 28.Simplifying the equation,2x + 12x = 28
14x = 28
x = 2So the width of the rectangle would be 2 feet and the length of the rectangle would be 6 times the width which would be 6(2) = 12 feet.
The perimeter of a rectangle is the sum of the length of all four sides. The formula for the perimeter of a rectangle is P = 2l + 2w where P is the perimeter, l is the length and w is the width of the rectangle. In this problem, we are given that a rectangle is 6 times as long as it is wide and its perimeter is 28 feet.
We are supposed to find the dimensions of the rectangle. Let x be the width of the rectangle.Since the length of the rectangle is 6 times as long as it is wide, the length would be 6x.Now we can use the formula for perimeter of the rectangle to form an equation as follows,2x + 2(6x) = 28Simplifying the equation,2x + 12x = 28
14x = 28
x = 2.
Therefore, the width of the rectangle would be 2 feet and the length of the rectangle would be 6 times the width which would be 6(2) = 12 feet. Thus, the dimensions of the rectangle would be 2 feet and 12 feet.
The width of the rectangle would be 2 feet and the length of the rectangle would be 12 feet.
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Beasley Office Supplies received an order for 7,384 tacks. If each box in the shipment contains 52 tacks, how many boxes do they need to include in the shipment?
Answers
Answer:
142
Step-by-step explanation:
hope this helps!
A firm has a production function given by Q=10K0.5L0.5. Suppose that each unit of capital costs R and each unit of labor costs W.a. Derive the long-run demands for capital and labor.b. Derive the total cost curve for this firm.c. Derive the long run average and marginal cost curves.d. How do marginal and average costs change with increases in output. Explaine. Confirm that the value of the Lagrange multiplier you get form the cost minimization problem in part a is equal to the marginal cost curve you found in part c.
Answers
The long-run demand for capital is proportional to output raised to the power of the elasticity of output with respect to capital, and the long-run demand for labor is proportional to output raised to the power of the elasticity of output with respect to labor.
a. The long-run demands for capital and labor can be found by minimizing the cost of producing a given level of output, subject to the production function. The cost of producing a given level of output is given by the product of the prices of capital and labor, multiplied by the amounts of each input used:
C = RK^αL^(1-α) + WL^αK^(1-α)
where α = 0.5 is the elasticity of output with respect to each input. The Lagrangian for this problem is:
L = RK^αL^(1-α) + WL^αK^(1-α) - λQ
Taking the partial derivative of L with respect to K, L, and λ and setting each equal to zero, we get:
∂L/∂K = αRK^(α-1)L^(1-α) + WL^α(1-α)K^(-α) = 0
∂L/∂L = (1-α)RK^αL^(-α) + αWL^(α-1)K^(1-α) = 0
∂L/∂λ = Q = 10K^0.5L^0.5
Solving these equations simultaneously, we get:
K = (αR/W)Q
L = ((1-α)W/R)Q
Therefore, the long-run demand for capital is proportional to output raised to the power of the elasticity of output with respect to capital, and the long-run demand for labor is proportional to output raised to the power of the elasticity of output with respect to labor.
b. The total cost curve can be derived by substituting the long-run demands for capital and labor into the cost function:
C = R(αR/W)^α(1-α)Q + W((1-α)W/R)^(1-α)αQ
Simplifying, we get:
C = Rα^(α/(1-α))W^((1-α)/(1-α))Q + W(1-α)^((1-α)/α)R^(α/α)Q
c. The long-run average cost (LRAC) curve can be found by dividing total cost by output:
LRAC = C/Q = Rα^(α/(1-α))W^((1-α)/(1-α)) + W(1-α)^((1-α)/α)R^(α/α))/Q
The long-run marginal cost (LRMC) curve can be found by taking the derivative of total cost with respect to output:
LRMC = dC/dQ = Rα^(α/(1-α))W^((1-α)/(1-α)) + W(1-α)^((1-α)/α)R^(α/α)
d. The marginal cost (MC) curve represents the additional cost incurred by producing one more unit of output, while the average cost (AC) curve represents the average cost per unit of output. If the marginal cost is less than the average cost, then the average cost is decreasing with increases in output. If the marginal cost is greater than the average cost, then the average cost is increasing with increases in output. If the marginal cost is equal to the average cost, then the average cost is at a minimum. In this case, the LRMC curve is constant and equal to LRAC, which means that the long-run average cost is constant and the firm is experiencing constant returns to scale. Therefore, both the LRMC and LRAC curves are horizontal, and neither increases nor decreases with increases in output.
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A bowl of berries contains 2 strawberries, 4 blackberries, 1 raspberry, and 3 blueberries Loue will randomly select two berries one at a time from the bowl and not put them back. What is the probability that the first berry Louie selects will be a raspberry and the second berry will be a blueberry?
.) 3/9
b) 3/10
c) 1/30
d) 1/90
Answers
Answer
b
Step-by-step explanation:
In a certain article, laser therapy was discussed as a useful alternative to drugs in pain management of chronically ill patients. To measure pain threshold, a machine was used that delivered low-voltage direct current to different parts of the body (wrist, neck, and back). The machine measured current in milliamperes (mA). The pretreatment experimental group in the study had an average thresh hold of pain (pain was first detectable) at = 3.08 mA with standard deviation = 1.25 mA. Assume that the distribution of threshold pain, measured in milliamperes, is symmetric and more or less mound-shaped. (Round your answers to two decimal places.)
(a) Use the empirical rule to estimate a range of milliamperes centered about the mean in which about 68% of the experimental group will have a threshold of pain
from ________mA to _______ mA
(b) Use the empirical rule to estimate a range of milliamperes centered about the mean in which about 95% of the experimental group will have a threshold of pain
from ______mA to______mA
Answers
The estimated range of milliamperes, centered around the mean, in which about 95% of the experimental group will have a threshold of pain is from 0.58 mA to 5.58 mA.
(a) Using the empirical rule, we can estimate a range of milliamperes centered about the mean in which about 68% of the experimental group will have a threshold of pain. According to the empirical rule, approximately 68% of the data falls within one standard deviation of the mean for a symmetric and mound-shaped distribution.
Given:
Mean (μ) = 3.08 mA
Standard deviation (σ) = 1.25 mA
To estimate the range, we can add and subtract one standard deviation from the mean:
Range = (μ - σ) to (μ + σ)
= (3.08 - 1.25) mA to (3.08 + 1.25) mA
= 1.83 mA to 4.33 mA
Therefore, the estimated range of milliamperes, centered around the mean, in which about 68% of the experimental group will have a threshold of pain is from 1.83 mA to 4.33 mA.
(b) Using the empirical rule again, we can estimate a range of milliamperes centered about the mean in which about 95% of the experimental group will have a threshold of pain. According to the empirical rule, approximately 95% of the data falls within two standard deviations of the mean for a symmetric and mound-shaped distribution.
To estimate the range, we can add and subtract two standard deviations from the mean:
Range = (μ - 2σ) to (μ + 2σ)
= (3.08 - 2 * 1.25) mA to (3.08 + 2 * 1.25) mA
= 0.58 mA to 5.58 mA
Therefore, the estimated range of milliamperes, centered around the mean, in which about 95% of the experimental group will have a threshold of pain is from 0.58 mA to 5.58 mA.
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Find a root of an equation f(x)=x³-3x-1 between -1 and 1, using False Position method, after the second iteration.
Answers
The root of the equation \(\(f(x) = x^3 - 3x - 1\)\) between -1 and 1, after the second iteration of the False Position method, is approximately -1.
How to find the root of the equation \(\(f(x) = x^3 - 3x - 1\)\)The False Position method involves finding the x-value that corresponds to the x-intercept of the line passing through \(\((a, f(a))\)\) and \(\((b, f(b))\),\)where (a) and (b) are the endpoints of the interval.
Let's begin the iterations:
Iteration 1:
\(\(a = -1\), \(f(a) = (-1)^3 - 3(-1) - 1 = -3\)\)
\(\(b = 1\), \(f(b) = (1)^3 - 3(1) - 1 = -3\)\)
The line passing through (-1, -3) and (1, -3) is (y = -3). The x-intercept of this line is at (x = 0).
Therefore, the new interval becomes [0, 1] since the sign of f(x) changes between\(\(x = -1\) and \(x = 0\).\)
Iteration 2:
\(\(a = 0\), \(f(a) = (0)^3 - 3(0) - 1 = -1\)\)
\(\(b = 1\), \(f(b) = (1)^3 - 3(1) - 1 = -2\)\)
The line passing through\(\((0, -1)\) and \((1, -2)\) is \(y = -x - 1\)\). The x-intercept of this line is at (x = -1).
After the second iteration, the new interval becomes [-1, 1] since the sign of f(x) changes between (x = 0) and (x = -1).
Therefore, the root of the equation \(\(f(x) = x^3 - 3x - 1\)\) between -1 and 1, after the second iteration of the False Position method, is approximately -1.
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If x - 3 Is a factor P(x) = x ^ 3 - 7x ^ 2 + 15x - 9, which of the following represents the complete factorization for P(x) ?
A. (x-3)(x+4)(x+1)
B. (x-3)(x+3)(x+1)
C. (x-3(x-3)(x-1)
D. (x-3)(x+3)(x-1)
Answers
the answer is c, i just got this question
Answer: C
Step-by-step explanation:
Please help, I will give you brainliest answer!
Answers
Answer:
2 rocks
Step-by-step explanation:
2 crates + 2 rocks = 1 crate + 4 rocks
2 crates + 2 rocks = 2 crates + 8 rocks
Hence, 1 crate = (8-4)÷2
= 2 rocks
Can a linear system only have 2 solutions?.
Answers
Most linear systems will have exactly one solution. Nevertheless, it is possible that there are no solutions or infinitely many. (but It is not possible that there are exactly two solutions of a linear system.)
Let's assume a system of two linear equations, then, there are three possibilities of solutions.
The possibilities are:
Two parallel lines
e.g. y = 3x + 1
y = 3x − 2 (with the same slope, different intercepts)
Two (distinct) intersecting lines
As we know two straight lines cannot meet at two points. Two points determine only one line (not two lines).
e.g. y = 3x + 1
y = 5x − 2 (different slopes)
These equations have the same line as their graphs
If two lines do have two points in common, then "the lines coincide" (which really means "there is only one line".) In this case, we say, "the two lines are the same".
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Solve the equation: 11 = −5x − 2
Answers
Answer:
x= -13/5
Step-by-step explanation:
Answer:
\(x = \frac{13}{-5} or \frac{-13}{5}\)
Step-by-step explanation:
Add 2 to each side to isolate the negative 5x:
11 + 2 = -5x + 2
13 = -5x
Divide both sides by -5:
\(\frac{-5x}{-5} = \frac{13}{-5}\)
\(x = \frac{13}{-5} or \frac{-13}{5}\)
Hope this helps!
Given the function (Image below) [Algebra ll]
![Given the function (Image below) [Algebra ll]](https://i5t5.c14.e2-1.dev/c-qa-images/contents/attachments/x8MLj2NVX0aLIULbEDZA5d4gQgCXtd8p.png)
Answers
Put -1 and -11 in for x. The answer comes out 6
Marcus is using a plant food to fertilize his garden his garden is a rectangle Marcus uses 1 cup of plant food for every square yard of his garden. There are 4 cups in 1 quart one quart of plant food weights 28 ounces what is the total weight in ounces of the plant food Marcus uses to fertilize his garden?
Answers
Marcus is using a plant food to fertilize his garden his garden is a rectangle Marcus uses 1 cup of plant food for every square yard of his garden.
To solve it, we need to first find the area of Marcus's garden in square yards, and then multiply it by 1 cup of plant food per square yard. Finally, we need to convert the total cups to ounces using the given conversion rate.
Let the length of Marcus's garden is l yards and the width is w yards. Then the area of his garden in square yards is
A = lw.
If Marcus uses 1 cup of plant food per square yard, then he will use A cups of plant food in total.
To convert cups to ounces, we can use the given conversion rate of 4 cups per 28 ounces.
1 cup = 28/4 ounces
Therefore, the total weight of plant food Marcus uses in ounces is
Total weight = A * (28/4) ounces
By substituting A = lw, we get
Total weight = lw * (28/4) ounces
Total weight = 7lw ounces
Hence, the total weight of plant food Marcus uses to fertilize his garden is 7 times the product of the length and width of his garden, measured in yards.
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Shannon says that the lines y=-3x-4, y = -x + 6, y = -4x - 5, and y=-x-5 could represent the sides of a rectangle. Explain Shannon's error.
Answers
The adjacent sides of rectangle form 90° to each other or are
perpendicular, while the opposite sides are parallel.
The error, is that the coefficient of x, in the four equations can only take on two values, such that if one of the values is m, the other will be \(-\dfrac{1}{m}\)
Reasons:
In a rectangle, the adjacent sides are perpendicular to each other, while
the opposite sides are parallel.
The slope of parallel lines are equal, and the slope, of a line perpendicular to another line with slope, m, is \(-\dfrac{1}{m}\), therefore the slopes of the parallel sides should be equal, which gives;
The equations should consist of two pairs of equations of lines with equal slopes, such as the pair, y = -x + 6, and y = -x - 5The slope of the other two lines should therefore be \(-\dfrac{1}{-1} = 1\), which gives the equations of the other two lines as y = x - 4, and y = x - 5, respectively.Therefore;
The error, is that the coefficient of x, in the four equations can only take on two values, such that if one of the values is m, the other will be \(-\dfrac{1}{m}\)Learn more here:
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In R3, the equation x^2 + y^2 = 4 describes a cylinder. Select one: True False
Answers
The equation x^2 + y^2 = 4 describes a cylinder in R3. Therefore, the statement is true.
In R3 (three-dimensional space), the equation x^2 + y^2 = 4 represents a cylinder. This equation is in the form of a circular cross-section of a cylinder with a radius of 2 units centered at the origin (0, 0, 0) in the x-y plane. Each point (x, y, z) on the cylinder satisfies the equation x^2 + y^2 = 4, where x and y represent the coordinates in the x-y plane, and z represents the height along the z-axis.
To visualize this cylinder, imagine extending the circular cross-section infinitely along the z-axis and including all points that satisfy the equation. The resulting shape would be a cylinder with a circular base and infinite height.
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find the sum of the first 11 terms in the series 3/2 + 1 + 1/2 + ...
Answers
The sum of the first 11 terms is 44
How to find the sum of the first 11 termsThe sequence 3/2 + 1 + 1/2 + ... is an arithmetic sequence. the terms in the sequence are defined as follows
the first term, a = 3/2 and
the common difference, d = 1/2.
Sum of AP formula :
Sn = (n/2)(2a + (n-1)d)
where Sn is the sum of the first n terms of an arithmetic sequence.
Plugging in the values we get:
S11 = (11/2)(2(3/2) + (11-1)(1/2))
= (11/2)(3 + 5)
= (11/2)(8)
= 44
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Type the correct answer in each box. use numerals instead of words. if necessary, use / for the fraction bar(s). john hosts an art workshop on the weekends. he has an average of 14 students in each session and charges a fee of $12 per session. he estimates that for every $2 increase in the fee, the average number of students reduces by 1. complete the equation that models this scenario, where c(x) is the revenue generated and x is the number of $2 fee increases. c(x) = x2 x
Answers
The equation that models this scenario is: \(c(x) = -2x^2 + 16x + 168\).
Given:
Average number of students per session = 14
Fee per session = $12
For every $2 increase in the fee.
Let x be the number of $2 fee increases.
So, the fee for each session is $12 + ($2 x) as there is a $2 increase for each x.
and, the average reduces by 1 for each $2 increase then the average number of students per session is 14 - x.
Now, the revenue generated
\({\text} Revenue (c(x)) =\) \({\text} Fee per session * Average number of students per session\)
Substituting the values of fee per session = 12 + 2x and Average= 14- x into above formula as:
\(c(x) = (12 + (2 x)) * (14 - x)\)
Expanding and simplifying the equation:
\(c(x) = (12 + 2x) * (14 - x)\)
\(c(x) = 168 - 12x + 28x - 2x^2\)
\(c(x) = -2x^2 + 16x + 168\)
Therefore, the equation is: \(c(x) = -2x^2 + 16x + 168\)
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Th question attached here seems to be incomplete, the complete question is:
Type the correct answer in each blank. Use numerals instead of words. If necessary, use / for the fraction bar(s). John hosts an art workshop on the weekends. He has an average of 14 students in each session and charges a fee of $12 per session. He estimates that for every $2 increases in the fee, the average number of students reduces by 1. Complete the equation that models this scenario, where c(x) is the revenue generated and x is the number of $2 fee increases.
c(x) =_x^2 +_x+_
Answer:
Step-by-step explanation:
its correct [hope this helped]
Simplify the following expression using distributive property
-2(x-8)
Answers
Find the mean of 12, 16, and 23.
Answers
Answer:
17
Step-by-step explanation:
mean means average...
12+16+23= 51
51/3= 17
, I need to find the domain and the functions of two different f of x and G of x
Answers
To find g o f(x), we need to replace each x in g(x) for f(x), this is:
\(\begin{gathered} g\circ f(x)=g(f(x)) \\ g\circ f(x)=\sqrt[]{-(f(x))-2} \\ g\circ f(x)=\sqrt[]{-(2x-3)-2} \end{gathered}\)Its domain must contain the numbers that make the function be real. In this case the function can be indefinite when having a negative root, it means that the domain of this function is:
\(\lbrack\frac{1}{2},\infty)\)Do the same procedure to find f o g(x):
\(\begin{gathered} f\circ g(x)=f(g(x)) \\ f\circ g(x)=2\cdot(g(x))-3 \\ f\circ g(x)=2\cdot(\sqrt[]{-x-2})-3 \end{gathered}\)The domain of this function is:
\((-\infty,-2\rbrack\)Mia buys a tablet in $500. and plans to sell it in 2 years. the tablet value is projected to decrease for 40% per year. for how much Mia is expected to sell her tablet?
Answers
Answer:
$100
Step-by-step explanation:
$500 x \((1-40-40\)%\()\\\)
= $500 x 20%
= $100
$ 100 is for Mia expected.
Mia is expected to sell her tablet for $100 because its value is projected to decrease for 40% per year.
Given the following data:
Cost of tablet = $500Time = 2 yearsDepreciation rate = 40% per year = 0.4To find how much Mia is expected to sell her tablet:
First of all, we would determine the depreciation for the two year.
\(Two \;years = 0.4(2) = 0.8\)
The depreciation cost:
\(500\) × \(0.8 = 400\)
Now, we would solve for the selling price by using the formula:
\(Selling\;price = Cost\;price - Depreciation\;cost\\\\Selling\;price = 500 - 400\)
Selling price = $100
Therefore, Mia is expected to sell her tablet for $100 because its value is projected to decrease for 40% per year.
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Use the equation to answer the following question.
y = 4x – 4
Which of the following phrases best describes the graph of this line?
A. a line with a negative slope that crosses the y-axis at a negative value
B. a line with a negative slope that crosses the y-axis at a positive value
C a line with a positive slope that crosses the y-axis at a negative value
D a line with a positive slope that crosses the y-axis at a positive value
Answers
Answer:
The answer is C.
Step-by-step explanation:
4x is the slope, it is positive
-4 is the y-intercept, it is negative
Can i get brainliest please?
HELP ASAP!!!!!!!!!!!!!
Answers
Answer:
a) length of sides remain unchanged
Step-by-step explanation:
m*n= \(\sqrt{x} mn-n2, then 5 *3\\\)
Answers
M = 5
N = 3
The x is still present because there is no known equivalent to x.
The 15 is the mm
The minus 6 comes from n2 ( 3 x 2 )
what is the median of these numbers 12 13 15 16 19 32
Answers
Answer:
15 1/2 or 15.5
Step-by-step explanation:
the median is just the numer in the middle (numerical order) so, because you end up with both 15 and 16, the rational number between them is 15.5
In the last quarter of a high school football game, your team i s behind by 21 points. A field goal is worth 3 points and a touchdown (after the extra point is worth 7 points. Let x represent the number of field goals scored and y represent the number of touchdowns scored. Write an inequality that models the different number of field goals and touchdowns your team could score to win the game. (Assume the other team doesn't score any more points.)
Answers
Answer:
3x + 7y > 21
Step-by-step explanation:
3x + 7y > 21
where:
x = number of field goals needed to win
y = number of touchdowns (plus extra point) needed to win
Since your team is 21 points behind and you want to win the game, not tie it, the number of field goals and touchdowns must result in a number higher than 21, not equal to or higher than.
Answer:
3x + 7y > 21
3x + 7y > 21
where:
x = number of field goals needed to win
y = number of touchdowns (plus extra point) needed to win
Since your team is 21 points behind and you want to win the game, not tie it, the number of field goals and touchdowns must result in a number higher than 21, not equal to or higher than.
A right triangle and two of its side lengths are shown in the diagram. 11.9 cm 7.9 cm x cm Which measurement is closest to the value of x in centimeters?
6.3
4.0
14.3
19.8
Answers
The measurement that is closest to the value of x, in centimeters, is given as follows:
14.3.
How to obtain the value of x?In this problem, we have a right triangle, in which the legs, which are the sides between the angle of 90º, are of 11.9 cm and 7.9 cm.
Then the hypotenuse x, which is the segment connecting both legs, is obtained using the Pythagorean Theorem.
The Pythagorean Theorem states that the measure of the hypotenuse squared is equals to the sum of the squares of the measures of each side.
Then the length of x is calculated as follows:
x² = 11.9² + 7.9²
x = square root of (11.9² + 7.9²)
x = 14.28.
Closest to 14.3, rounding to the nearest tenth, meaning that the third option is correct.
Missing InformationWe suppose that 11.9 cm and 7.9 cm are the measures of the legs.
More can be learned about the Pythagorean Theorem at https://brainly.com/question/28853425
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Answers
Answer:
34.64m
Step-by-step explanation:
Tan30= x(height) /60
x=60tan30
=34.64m