Answers
7 is the value of x in the given figure.
What is Triangle?A triangle is a three-sided polygon that consists of three edges and three vertices.
A line segment that connects two midpoints of the sides of a triangle is called a midsegment.
DE is the midsegment between AC and CB.
DE=1/2(AB)...*
From the figure, DE=2x+13 and AB=13x-37.
Now plug in the value of DE and AB in Equation (*).
2x+13=1/2(13x-37)
Apply distributive property on RHS.
2x+13=13/2x-37/2
2x-13/2x=-37/2-13
4x-13x/2=-37-26/2
-9x/2=-63/2
9x=63
Divide both sides by 9
x=7
Hence, the value of x in the figure is 7.
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Related Questions
A car is to be paid P15,000 at 9% interest rate. What is the equivalent amount of car after 9 years at an annual interest rate of 6% compounded quarterly.
Answers
The expression will give you the equivalent amount of the car after 9 years at an annual interest rate of 6% compounded quarterly.
To calculate the equivalent amount of the car after 9 years at an annual interest rate of 6% compounded quarterly, we can use the formula for compound interest:
A = P(1 + r/n)^(nt)
Where:
A = final amount
P = principal amount (initial amount)
r = annual interest rate (in decimal form)
n = number of times interest is compounded per year
t = number of years
Given that the car is to be paid P15,000 at a 9% interest rate, we need to find the equivalent amount after 9 years at a 6% annual interest rate compounded quarterly.
P = 15,000
r = 6% = 0.06
n = 4 (quarterly compounding)
t = 9
Plugging in these values into the formula:
A = 15,000(1 + 0.06/4)^(4*9)
Calculating this expression will give you the equivalent amount of the car after 9 years at an annual interest rate of 6% compounded quarterly.
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I need help with this other problem too.(sorry)
Answers
Answer:
280
Step-by-step explanation:
rawing a causal diagram. (a) Draw a causal diagram for the research question ?do long shift hours make doctors give lower-quality care?? that incorporates the following features (and only the following features): i. Long shift hours ( "Long Shift") affect how tired doctors are ("Tiredness") affects the quality of care ("Quality of Care"). ii. How long shifts are is often decided by the characteristics of the hospital the doctor works at ("Hospital Characteristics"). There are plenty of things about a given hospital that also affect the quality of care, like its funding level, how crowded it is, and so on. iii. A new policy that reduces shift times may be implemented at a hospital (assumed to be determined by some unobservable change in policy preferences) but this policy does not affect the quality of care ("Policy"). b) Suppose we have a cross-sectional data set across different hospitals. This data set contains the hospital-level observations about (1) the quality of care ("Quality of Care"), (2) the average shift hours of doctors ("Shift hours"), (3) the survey result on how tired doctors are on average at the hospital, (4) various hospital characteristics ("Hospital Characteristics"), (5) Measurement of a policy that regulates shift-times, which is assumed to be randomly determined ("Policy"). We assume that the causal relationship between shift hours to the quality of care can be described with a linear regression model (In reality, they may be non-linear). 1. Suppose we regress "Quality of Care" on constant and "Shift Hours." Can we estimate the causal effect of changing shift hours on the quality of care? Why or why not? 2. Suppose we regress "Quality of Care" on constant, "Shift Hours," and "Hospital Characteristics." Can we estimate the causal effect of changing shift hours on the quality of care? Why or why not? 3. Suppose we regress "Quality of Care" on constant, "Shift Hours," "Tiredness," and "Hospital Characteristics." Can we estimate the causal effect of changing shift hours on the quality of care? Explain what the estimated coefficients on "Shift Hours" and "Tiredness" represent. 4. Suppose we regress "Quality of Care" on constant and "Policy." Can we estimate the causal effect of changing a shift-hours policy on the quality of care? Why or why not? 5. Suppose we do not observe "Hospital Characteristics" in the data set. Discuss how we can estimate the causal effect of changing the shift hours on the quality of care. [Hint: can we use the instrumental variable estimation?]
Answers
The effect estimation requires more than simple regressions of "Quality of Care" on "Shift Hours" (Part 1) or with "Hospital Characteristics" (Part 2). Including "Tiredness" (Part 3) or using variable (Part 5) is necessary.
To estimate the causal effect of changing shift hours on quality of care, several factors must be considered. Regression analysis with just a constant and "Shift Hours" (Part 1) fails to account for confounding variables, leading to biased estimates. Including "Hospital Characteristics" (Part 2) still overlooks omitted variable bias and endogeneity issues.
However, by adding "Tiredness" to the regression (Part 3), the direct and indirect effects of shift hours on quality of care can be estimated. The coefficient of "Shift Hours" represents the direct causal effect, while the coefficient of "Tiredness" captures the mediating effect. Regressing "Quality of Care" solely on "Policy" (Part 4) neglects confounders.
When "Hospital Characteristics" are unobserved, instrumental variable estimation (Part 5) can address endogeneity by identifying an instrumental variable unrelated to quality of care but affecting shift hours.
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discuss why a function of type a cos (lx) is not an appropritate solution for the particle in a one dimentional box
Answers
Trigonometric functions are real functions that relate the angle of a right triangle to the length rates of two sides.
Trigonometric ratios are rates that we can use to find the missing sides or angles of a right triangle.
The particle stays in the box and the surge function is nonstop, the value of ψ( X) must be zero on each side. This means that the value of ψ( X) must be zero for X = 0 and X = L.
But the value of the cosine function is 1 at X = 0, so a function like Acos( LX) isn't a suitable result for a flyspeck in a one- dimensional box.
The boundary conditions for patches present in a one- dimensional box are given below.
1. A dribble is always confined to being only inside the box and can not live outside the box.
2. The overall probability of chancing a flyspeck in a box is always one.
3. The surge function must be nonstop.
Consider the expression of the surge function as follows
ψ() = Acos{ nπ/ L x}, is a surge function.
A = is constant.
x = is any point along the length of the box.
L = length
Since the flyspeck stays in the box and the surge function is nonstop, the value of ψ( x) should be zero on either side.
This means that the value of ψ( x) must be zero for x = 0 and x = L. But the value of the cosine function is 1 at x = 0. hence a function of type Acos( Lx) isn't a suitable result for a flyspeck in a one- dimensional box.
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The percent of members in a random sample that have an equal chance of being selected: a) 0% b) 33% c) 50% d) 100%
Answers
The answer is c) 50%. A random sample means that each member has an equal chance of being selected. This means that out of a sample size of any number, the percentage of members selected will always be 50%.
For example, if we have a random sample of 100 members, 50 of them will be selected. This principle applies to any population size, regardless of whether it's 10 or 10,000. It's important to note that this applies only to random samples, as non-random samples can have a biased selection process which affects the percentage of members selected. In summary, the percent of members in a random sample that have an equal chance of being selected is always 50%.
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Manon knows the following information about a group of 131313 professional golfers: 999 golfers have both practiced for at least 10{,}00010,00010, comma, 000 hours and won a major. 101010 golfers in total have practiced for at least 10{,}00010,00010, comma, 000 hours. 101010 golfers in total have won a major.
Answers
The frequency information of two categorical variables is shown using a two-way table, commonly referred to as a contingency table.
In this question, we have to organise the given information into a two-way frequency table.
let's first try to understand what is two-way frequency table.
A statistical table called a two-way or contingency table displays the observed quantity or frequency for two variables, with the rows denoting one category and the columns denoting the other.
In this case, In rows we have Major or not Major in the column we have practised or not practised.
We can glean a lot of knowledge from this short table. Let's have a look at a few test-relevant questions.
After solving using two-way frequency we got the result like
Have a Major total value = 10
Do not have a Major total value = 3
Practised for at least 10,000 hrs = 10
Do not practise for at least 10,000 hrs = 3
For further information, an image is included.
Given Question is incomplete complete the Question here:
Manon knows the following information about a group of 13 professional golfers:
9 golfers have both practised for at least 10,000 hours and won a major.
10 golfers in total have practised for at least 10,000 hours.
10 golfers in total have won a major.
Can you help Manon organize the results into a two-way frequency table?
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There are no golfers that have both practiced for 10,000 hours and won a major.
From the given information, we can determine the number of golfers that have both practiced for 10,000 hours and won a major. To do this, we can use the formula X = A + B - C, where X is the number of golfers that have both practiced for 10,000 hours and won a major, A is the number of golfers that have practiced for 10,000 hours, B is the number of golfers that have won a major, and C is the number of golfers that have both practiced for 10,000 hours and won a major.
Substituting the given values into the formula, we can calculate the number of golfers that have both practiced for 10,000 hours and won a major:
X = 999 + 1010 - 131313
X = 2008 - 131313
X = -131315
Since the number of golfers that have both practiced for 10,000 hours and won a major is negative, we can conclude that there are no golfers that have both practiced for 10,000 hours and won a major.
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PLEASE HELP I'LL GIVE YOU BRAINLIEST
Find the slope, or rate of change:
Answers
Answer:
C. 3/2
Step-by-step explanation:
slope:
Rise/run:
rise: 6
run: 4
6/4:
reduce = 3/2
Find the common ratio of the geometric sequence
17, 85, 425
Answers
Answer:
The common ratio is 5
Step-by-step explanation:
To find the ratio, take the second term and divide by the first term
85/17 = 5
To verify take the third term and divide by the second term
425/85 =5
The common ratio is 5
evaluate (to true or false) the following expression: expression : (3 > 2 or 4 > 6) and (5 > 3)
Answers
The final evaluation of the expression is True.
The given expression is:
(3 > 2 or 4 > 6) and (5 > 3)
Let's evaluate it step by step:
(3 > 2) is true because 3 is greater than 2.
(4 > 6) is false because 4 is not greater than 6.
(5 > 3) is true because 5 is greater than 3.
Now, let's substitute the values into the expression:
(True or False) and True
The "or" operator evaluates to True if at least one of the conditions is true. In this case, the first condition is True, so the result of the "or" operation is True.
(True) and True
The "and" operator evaluates to True only if both conditions are true. In this case, both conditions are True, so the result of the "and" operation is True.
Therefore, the final evaluation of the expression is True.
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Function or not a function?
Answers
The International Air Transport Association surveys business travelers to develop quality ratings for transatlantic gateway airports. The maximum possible rating is 10. Suppose a simple random sample of 50 business travelers is selected and each traveler is asked to provide a rating for the Miami International Airport. The ratings obtained from the sample of 50 business travelers follow.
7 7 3 8 4 4 4 5 5 5 5 4 9
10 9 9 8 10 4 5 4 10 10 10 11 4
9 7 5 4 4 5 5 4 3 10 10 4 4
8 7 7 4 9 5 9 4 4 4 4
Develop a 95% confidence interval estimate of the population mean rating for Miami. Round your answers to two decimal places.
Answers
The 95% confidence interval estimate of the population mean rating for Miami International Airport is approximately 5.50 to 6.74 (rounded to two decimal places).
To develop a 95% confidence interval estimate of the population mean rating for Miami International Airport, we can use the sample data provided. Here are the steps to calculate the confidence interval:
Step 1: Calculate the sample mean and sample standard deviation (s) from the given ratings.
Step 2: Determine the critical value (t*) for a 95% confidence level. Since the sample size is small (n = 50), we need to use the t-distribution. The degrees of freedom (df) will be n - 1 = 50 - 1 = 49.
Step 3: Calculate the standard error (SE) using the formula: SE = s / √n, where n is the sample size.
Step 4: Calculate the margin of error (ME) using the formula: ME = t* * SE.
Let's proceed with the calculations:
Step 1: Calculate the sample mean and sample standard deviation (s).
Sample ratings: 7 7 3 8 4 4 4 5 5 5 5 4 9 10 9 9 8 10 4 5 4 10 10 10 11 4 9 7 5 4 4 5 5 4 3 10 10 4 4 8 7 7 4 9 5 9 4 4 4 4
Sample size (n) = 50
Sample mean = (Sum of ratings) / n = (306) / 50 = 6.12
Sample standard deviation (s) = 2.18
Step 2: Determine the critical value (t*) for a 95% confidence level.
Using a t-distribution with 49 degrees of freedom and a 95% confidence level, the critical value (t*) is approximately 2.01.
Step 3: Calculate the standard error (SE).
SE = s / √n = 2.18 / √50 ≈ 0.308
Step 4: Calculate the margin of error (ME).
ME = t* * SE = 2.01 * 0.308 ≈ 0.619
Step 5: Construct the confidence interval.
Confidence Interval = 6.12 ± 0.619
Lower bound = 6.12 - 0.619 ≈ 5.501
Upper bound = 6.12 + 0.619 ≈ 6.739
The 95% confidence interval estimate of the population mean rating for Miami International Airport is approximately 5.50 to 6.74 (rounded to two decimal places).
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what would yˆ be if the intercept equals 12.34 and the b equals 2.12 for an x of 8?
Answers
y-hat would be 29.3 when the intercept equals 12.34, the slope (b) equals 2.12, and x equals 8.
To find the value of y-hat when the intercept equals 12.34 and the slope (b) equals 2.12 for an x of 8, you can use the linear regression equation:
y-hat = intercept + (slope × x)
Step 1: Substitute the given values into the equation:
y-hat = 12.34 + (2.12 × 8)
Step 2: Multiply the slope by x:
y-hat = 12.34 + (16.96)
Step 3: Add the intercept and the product from Step 2:
y-hat = 29.3
So, y-hat would be 29.3 when the intercept equals 12.34, the slope (b) equals 2.12, and x equals 8.
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Show the value of 4/3 ÷ 2/5. show reasoning
Answers
Answer:
\(3\frac{1}{3}\)
Step-by-step explanation:
Dividing fractions is like multiplying the reciprocal of the second number
For example: \(\frac{36}{3}\) divided by \(\frac{24}{6}\)
Multiply the reciprocal, which is 6/24
\(\frac{36}{3} * \frac{6}{24} ,\) Find divisible diagonal factors. Divide by 3 diagonally and divide by 12 diagonally
\(\frac{3}{1} * \frac{2}{2} = 3\)
You can check by making 36/3 to 12 and 24/6 to 4.
12/4 = 3
In the same way:
\(\frac{4}{3} /\frac{2}{5} = \frac{4}{3} * \frac{5}{2} =\)
Divide by 2 diagonally
\(\frac{2}{3} * \frac{5}{1} =\frac{10}{3} = 3\frac{1}{3}\)
The answer is \(3\frac{1}{3}\)
Hope this helps :)
Have a nice day!
Which expression does not belong with the other three? Explain your reasoning. 8 = x —2 3 = x ÷ 4 x − 6 = 5 x —3 = 9
Answers
Answer:
3 = x ÷ 4Step-by-step explanation:
Given expressions:
8 = x - 2 ⇒ x = 8 + 2= 103 = x ÷ 4 ⇒ x = 3*4 = 12x - 6 = 5 ⇒ x = 5 + 6 = 11x - 3 = 9 ⇒ x = 9 + 3 = 123 of them involves addition, one of them - multiplication
The second expression doesn't belong
Escribir ecuaciones para la recta horizontal y la recta vertical que atraviesan el punto (6, -3).
Answers
La ecuación de una línea horizontal que pasa por el punto (6, -3) es y = -3
La ecuación de una línea vertical que pasa por el punto (6, -3) es x = 6
Una ecuación lineal tiene la forma:
y = mx + b
donde y, x son variables, m es la tasa de cambio y b es la intersección con el eje y.
La ecuación de una línea horizontal que pasa por el punto (6, -3) es y = -3
La ecuación de una línea vertical que pasa por el punto (6, -3) es x = 6
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Elijah and his sister went to the movies. They had $34 altogether and spent $9.50 per ticket. Elijah and his sister bought the same snacks. Which inequality represents the amount that each person spent on snacks?
Answers
Find the area of a circle with a diameter of 16 units.
Exact Area:
Approx Area (use 3.14 for pi):
Approx Area (use 22/7 for pi):
Answers
Answer:
exact: 64π square units3.14 for π: 200.96 square units22/7 for π: 201 1/7 square unitsStep-by-step explanation:
You want the area of a 16-unit circle using different values for pi.
AreaThe formula for the area of a circle is ...
A = πr² . . . . . . where r is half the diameter
For the different values of pi, this will be (in square units) ...
π(8²) = 64π . . . . exact
3.14(8²) = 200.96 . . . . using 3.14 for π, slightly low
22/7(8²) = 201 1/7 . . . . using 22/7 for π, slightly high
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Find f^{-1}(x) for the function below. Do not put spaces between your characters. If no inverse exists then type "none".f(x)=x+5f^{-1}(x)=Answer
Answers
1) To find out the inverse function of a function we need to swap the variables, and then isolate the y variable on the left, like this:
\(\begin{gathered} f(x)=x+5 \\ y=x+5 \\ x=y+5 \\ x-y=y-y+5 \\ x-y=5 \\ -x+x-y=5-x \\ -y=5-x \\ y=x-5 \\ f^{-1}(x)=x-5 \end{gathered}\)Note that after that, we can isolate and then divide the whole function by -1
2) Hence, the answer is:
\(f^{-1}(x)=x-5\)Alice,barbra, and carol are sisters. alice is 3 years younger then barbara is 5 years younger then carol. together the sisters are 68 years old. how old is barbara?
Answers
The age of Barbra is 22 years.
What is method of substitution?The algebraic method for solving simultaneous linear equations is the substitution method. A quantity of one variable through one expression is replaced in the second equation, as the name implies.
Now, according to the question.
Let 'a' be the age of Alice.
Let 'b' be the age of Barbra
Let 'c' be the age of Carol.
The sum of age of all three sisters is 68 years.
Thus, a + b + c = 68
Now, as Alice is three years younger than Barbra.
a = b - 3
and, Barbra is 5 years younger than Carol.
b = c - 5
c = b + 5
By substitution of values of a and c in total age.
(b - 3) + b + (b + 5) = 68
3b - 3 + 5 = 68
On solving the expression.
b = 22
Therefore, the age of Barbra is 22 years.
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Help please will give brainly if
answerd
Answers
Answer:
its the middle one
Step-by-step explanation:
had this on a test, got it right
Answer:
Step-by-step explanation:
delete this if you want bc im not answeing i just wanted to say there nothing there
If a population roughly doubles in the course of 47 years, its growth rate would be approximately ________%.
Answers
The approximate growth rate of the population would be 1.49%.
To find the approximate growth rate of a population that roughly doubles in the course of 47 years, we can use the rule of 70.
The rule of 70 states that if a population's growth rate is x% per year, the population will double in approximately 70/x years.
In this case, we know that the population doubles in 47 years. To find the growth rate, we can use the formula:
Doubling time = 70 / growth rate
Solving for the growth rate, we get:
Growth rate = 70 / doubling time
Substituting the given value of 47 years for the doubling time, we get:
Growth rate = 70 / 47
Growth rate ≈ 1.49%
Therefore, the approximate growth rate of the population would be 1.49%.
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pls help really need it due today
Answers
Answer:no, a=38units while b=34units
Step-by-step explanation:
Find the slope of the line through the points (4, 1) and (6, 3)
I need help ASAP
Answers
Answer:
The slope is 1
Step-by-step explanation:
Slope can be found using the expression \(\frac{y2-y1}{x2-x1}\)
In this case,
y2 = 3
y1 = 1
x2 = 6
x1 = 4
\(\frac{3-1}{6-4}\) = 2/2 = 1
what is 3(x^2+2x-3)-4(4x^2-7x+5) equal to show step by step explanation
Answers
Step-by-step explanation:
\(\huge{\underbrace{\overbrace{\mathfrak{\pink{Answer:}}}}}\)
3(x2+2x-3)-4(4x2-7x+5)
3x2 + 6x - 9 - 16x2 + 28x - 20
-13x2 + 34x - 29
Thomas is conducting a survey of students in
the school. Of the students, 832 prefer vanilla
ice cream and 448 prefer chocolate ice cream.
What percentage of the total students prefer
vanilla ice cream?
Answers
5. Problem 5.15 (Present Value of an Annuity) Find the present values of these ordinary annuities. Discounting occurs once a year. Do not round intermediate calculations. Round your answers to the nearest cent. a. $400 per year for 14 years at 14%. $ b. $200 per year for 7 years at 7%. $ c. $400 per year for 7 years at 0%. $ d. Rework previous parts assuming they are annuities due. Present value of $400 per year for 14 years at 14%:$ Present value of $200 per year for 7 years at 7% : $ Present value of $400 per year for 7 years at 0% : $
Answers
a. Present value of $400 per year for 14 years at 14%: $2,702.83
b. Present value of $200 per year for 7 years at 7%: $1,155.54
c. Present value of $400 per year for 7 years at 0%: $2,800
d. Present value of $400 per year for 14 years at 14% (annuity due): $2,943.07
Present value of $200 per year for 7 years at 7% (annuity due): $1,233.24
Present value of $400 per year for 7 years at 0% (annuity due): $2,800
To find the present values of the ordinary annuities, we can use the formula for the present value of an annuity:
PV = PMT * [(1 - (1 + r)^(-n)) / r]
Where:
PV = Present value
PMT = Payment per period
r = Interest rate per period
n = Number of periods
a. $400 per year for 14 years at 14%:
PV = $400 * [(1 - (1 + 0.14)^(-14)) / 0.14]
≈ $2,702.83
b. $200 per year for 7 years at 7%:
PV = $200 * [(1 - (1 + 0.07)^(-7)) / 0.07]
≈ $1,155.54
c. $400 per year for 7 years at 0%:
Since the interest rate is 0%, the present value is simply the total amount of payments over the 7 years:
PV = $400 * 7
= $2,800
d. Reworking previous parts assuming they are annuities due:
For annuities due, we need to adjust the formula by multiplying it by (1 + r):
a. Present value of $400 per year for 14 years at 14%:
PV = $400 * [(1 - (1 + 0.14)^(-14)) / 0.14] * (1 + 0.14)
≈ $2,943.07
b. Present value of $200 per year for 7 years at 7%:
PV = $200 * [(1 - (1 + 0.07)^(-7)) / 0.07] * (1 + 0.07)
≈ $1,233.24
c. Present value of $400 per year for 7 years at 0%:
Since the interest rate is 0%, the present value remains the same:
PV = $400 * 7
= $2,800
In conclusion:
a. Present value of $400 per year for 14 years at 14%: $2,702.83
b. Present value of $200 per year for 7 years at 7%: $1,155.54
c. Present value of $400 per year for 7 years at 0%: $2,800
d. Present value of $400 per year for 14 years at 14% (annuity due): $2,943.07
Present value of $200 per year for 7 years at 7% (annuity due): $1,233.24
Present value of $400 per year for 7 years at 0% (annuity due): $2,800
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Which graph shows a polynomial function with an even degree?
Answers
Answer:
c
Step-by-step explanation:
im smart
The graph that shows a polynomial function with an even degree is option D.
What is a Function?A function is a law that relates two variables, a dependent and an independent variable with each other.
The domain and range of a function is always defined, the domain is all the values that can be an input to the function and the range is all the valuess that a function can have.
A function that involves positive integer powers as exponents of a variable in an equation is called a polynomial function, like the quadratic equation,
An even degree polynomial function, represented by y = x², have graphs that either open upwards or downwards.
A function is even if, for each x in the domain of f, f (- x) = f (x).
In an even function, the graph is symetrically along y axis.
The only graph that is symmetrical along the y axis is graph D.
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the question in the picture below
Answers
Answer:
answer is option A
Step-by-step explanation:
2x+6≤10or2x+8>20
2x≤10-6 or 2x>12
x≤4/2 or x>2/12
x≤2 or x>6
A square is inscribed in a right triangle with leg lengths 6 and 8 so that they have a common right angle. FInd the square's side length.
Answers
Answer:
10 units
Step-by-step explanation:
Here, legs = base and perpendiculars.
So, Clearly given Base = 6 units Perpendicular = 8 cm
Square's Side = Hypotenuse.
By Pythagoras theorem,
H² = B²+P²
H ² = 6²+8²
H² = 36+64 = (10)²
H = 10 units.
Square's Side length = 10 units
The relationship between the length and weight of certain sea turtles can be approximated by the equation L = 0,55 W,
where L is the length in feet and W is the weight in pounds. If a sea turtle is 2.5 feet long, which is closest to its weight?
Answers
Answer:
4.55 pounds
Step-by-step explanation:
From the above question , we are told that:
The relationship between the length and weight of certain sea turtles can be approximated by the equation
L = 0.55 W,
where
L is the length in feet
W is the weight in pounds. If a sea turtle is 2.5 feet long, which is closest to its weight?
L = 2.5 feet
Hence,
2.5 = 0.55W
W = 2.5/0.55
W = 4.5454545455 pounds
Approximately, weight of the sea turtle in pounds = 4.55 pounds