The exact value of cscθ / csc(π - θ) is 1.
What is simplest radical form ?
The simplest radical form is the expression of a radical where the radicand (the number under the radical sign) has been simplified as much as possible.
First, we need to determine the hypotenuse of the right triangle formed by the terminal side of angle θ and the x-axis.
Using the Pythagorean theorem, we have:
[tex]h^{2}[/tex] = 16+ 1*1
[tex]h^{2}[/tex] = 16 + 1
[tex]h^{2}[/tex] =17
h = [tex]\sqrt{17}[/tex]
Now, we can find the value of sine and cosine of angle θ:
sinθ = opposite/hypotenuse = 1/ [tex]\sqrt{17}[/tex]
cosθ = adjacent/hypotenuse = -4/[tex]\sqrt{17}[/tex]
Therefore, cscθ = 1/sinθ = [tex]\sqrt{17}[/tex]
Now, we can substitute these values into the expression cscθ / csc(π - θ):
cscθ / csc(π - θ) = [tex]\sqrt{17}[/tex]) / csc(π - θ)
We know that csc(π - θ) = 1/sin(π - θ), and since sin(π - θ) = sinθ, we have:
csc(π - θ) = 1/sinθ = [tex]\sqrt{17}[/tex]
Substituting this back into the expression, we have:
cscθ / csc(π - θ) = [tex]\sqrt{17}[/tex]/ [tex]\sqrt{17}[/tex] = 1
Therefore, the exact value of cscθ / csc(π - θ) is 1.
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Write the equation of a line that is perpendicular to the line y = 1/2x + 1 and goes through 6 on the x axis
Answer:
y = - 2x + 12
Step-by-step explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
y = [tex]\frac{1}{2}[/tex] x + 1 ← is in slope- intercept form
with slope m = [tex]\frac{1}{2}[/tex]
given a line with slope m then the slope of a line perpendicular to it is
[tex]m_{perpendicular}[/tex] = - [tex]\frac{1}{m}[/tex] = - [tex]\frac{1}{\frac{1}{2} }[/tex] = - 2 , then
y = - 2x + c ← is the partial equation
to find c substitute (6, 0 ) , the point it crosses on the x- axis into the partial equation.
0 = - 2(6) + c = - 12 + c ( add 12 to both sides )
12 = c
y = - 2x + 12 ← equation of perpendicular line
GIVEN EQUATION IS y = 1/2x + 1
This method teach us in order to write this equation in perpendicular form we will change the coefficient of Y axis in to X axis and X axis into Y axis by a negative of sign WITH ONE of them and rePlace constant term as KNOW PERPENDICULAR EQUATION CAN BE WRITTEN AS
y = -2x + kSince the line passes through the point (6,0) on the x-axis, we can substitute these values into the equation to solve for k:
0 = -2(6) + k0 = -12 + kk = 12Therefore, the equation of the line that is perpendicular to y = 1/2x + 1 and passes through the point (6,0) is y = -2x + 12.1 of 11 of 1 Items
01:03
Question
Jordan received $100 for a graduation present and deposited it in a savings account. Each week thereafter, he added $15 to the account but no interest was earned. Which equation represents the relationship between w, the number of weeks Jordan kept his money in the account, and t, the total amount in the savings account?
f(w) = 100 + 15t is the function that represents the relationship between w, the number of weeks Jordan kept his money in the account, and t, the total amount in the savings account
It is given to us that Jordan received $100 for a graduation present and deposited it in a savings account. Each week thereafter, he added $15 to the account but no interest was earned.
We need to write an equation represents the relationship between w, the number of weeks Jordan kept his money in the account, and t, the total amount in the savings account:
Graduation present = $100
Amount deposited per week = $15
Let, w be the number of weeks, and t, the total amount in the savings account, therefore, the function is:
f(w) = 100 + 15t
Therefore, f(w) = 100 + 15t represents the relationship between w, the number of weeks Jordan kept his money in the account, and t, the total amount in the savings account
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as manager of a pizza shop, you are responsible for placing the food orders. you currently have enough anchovies for 8 pizzas. you expect to have orders for 60 pizzas tonight. if 8% of all pizzas are ordered with anchovies, what is the probability that you run out of anchovies before the evening is over? use the normal approximation for the binomial
The probability of running out of anchovies before the evening is over is approximately 0.058, or 5.8%. We must presume that the number of pizzas ordered with anchovies follows a binomial distribution with parameters n = 60 (the total number of pizzas) and p = 0.08 in order to answer this issue using the normal approximation for the binomial distribution. (the probability of ordering anchovies on a pizza).
The standard deviation of this binomial distribution is given by = sqrt(np(1-p)) = sqrt(60 x 0.08 x 0.92) = 2.03, and the mean is given by = np = 60 x 0.08 = 4.8.
Now, we need to determine the likelihood that we will need to prepare more than eight anchovy-topped pies before the evening is through in order to determine the likelihood that we will run out of anchovies. (since we only have enough anchovies for 8 pizzas).
This is equivalent to finding the probability that the number of pizzas with anchovies is greater than 8, or P(X > 8), where X is the number of pizzas with anchovies.
To use the normal approximation for the binomial distribution, we need to standardize the variable X using the standard normal distribution. This gives us:
z = (X - μ) / σ = (8 - 4.8) / 2.03 = 1.57
Using a standard normal table or calculator, we can find the probability that z is greater than 1.57, which is approximately 0.058. Therefore, the probability of running out of anchovies before the evening is over is approximately 0.058, or 5.8%.
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what is the area, in square feet, of the rectangle shown 6 4/5 4 3/4 below?
The area of the given rectangle is [tex]32\dfrac{6}{20}[/tex] square feet
For better understanding check the calculation here.
Calculation:Area of the rectangle is the space inside the given triangle.
Formula: Formula to find the area of the triangle is length times width
Length and width are given as mixed fractions
Lets convert mixed fractions into improper fractions
[tex]\text{Length}=6\dfrac{4}{5} =\dfrac{6\times5+4}{5} =\dfrac{34}{5}[/tex]
[tex]\text{Width}=4\dfrac{3}{4} =\dfrac{4\times4+3}{4} =\dfrac{19}{4}[/tex]
Now we find out the area
[tex]\text{Area}=\text{length}\times\text{width}[/tex]
[tex]\text{Area}=\dfrac{34}{5} \times\dfrac{19}{4}[/tex]
[tex]\text{Area}=\dfrac{646}{20}[/tex]
Now we divide the number and find out the quotient and remainder
[tex]\text{Area}=\dfrac{646}{4}[/tex]
[tex]\text{Quotient}=32[/tex]
[tex]\text{Remainder}=6[/tex]
[tex]\text{Area}=32\dfrac{6}{20}[/tex]
The area of the given rectangle is [tex]32\dfrac{6}{20}[/tex] square feet
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Sophie deposited money into an account in which interest is compounded semiannually at a rate of 4.2%. She made no other deposits or withdrawals and the total amount in her account after 9 years was $24,575.22. How much did she deposit? Round answer to nearest whole number.
Sophie deposited approximately $16,516.
What are whole numbers?The digits 0, 1, 2, 3, 4, 5, 6, 7, 8, and so forth are known as whole numbers. They are the figures we use to measure things, such as the quantity of pencils in a box or apples in a basket. In computations like addition, subtraction, multiplication, and division, whole numbers are also employed.
Let's call the amount Sophie deposited "P". After 9 years, the investment would have gone through 18 compounding periods (2 per year for 9 years).
The formula for calculating the future value (FV) of an investment with compound interest is:
[tex]FV = P(1 + r/n)^{(nt)[/tex]
where:
P = the principal (the initial amount invested)
r = the annual interest rate (as a decimal)
n = the number of times the interest is compounded per year
t = the number of years
In this case, we have:
P = unknown (what we're trying to find)
r = 4.2% = 0.042
n = 2 (since the interest is compounded semiannually, or twice a year)
t = 9
So the formula becomes:
[tex]24,575.22 = P(1 + 0.042/2)^{(2*9)[/tex]
Simplifying the right side of the equation:
24,575.22 = P(1.021)¹⁸
24,575.22 = 1.485P
Dividing both sides by 1.485:
P ≈ $16,516
Therefore, Sophie deposited approximately $16,516.
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-16/5 divided by 12/25
Answer:
-16/5 divided by 12/25 is equal to -40/3.
Step-by-step explanation:
Lines s and tare perpendicular. If the slope of line s is 5, what is the slope of line ?? A.-⅕ B.⅕ C. 5 D. -5
Answer:
A) -⅕.
Step-by-step explanation:
If lines s and t are perpendicular, then their slopes are negative reciprocals of each other. Therefore, if the slope of line s is 5, the slope of line t is -1/5.
So the answer is A) -⅕.
The slope of line T is -1/5, because perpendicular lines have opposite reciprocal slopes, meaning the opposite sign (positive or negative) and flipped (whole number becomes a fraction).
Need sum help on this somebody
Angle R is right angle (QR perpendicular to PT) then ∆PQR ~ ∆TSR (both are similar triangle).
What is a similar triangle?Triangles with the same shape but different sizes are called similar triangles. To put it another way, the sides and angles of the same triangle are in proportion to each other. This indicates that the shape of one of the triangles would remain unchanged regardless of how much you scaled it up or down. Similar triangles are important in geometry and have numerous practical uses in architecture and engineering.
From the given figure,
Statement Reason
∠P = ∠T AA similarity theorem
∠R is right angle QR ⊥ PT
Then ∆PQR ~ ∆TSR (both are similar triangle)
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One angle of a right triangle measures 85°. What is the measure of the other acute angle?
Answer:
5°
Step-by-step explanation:
The three angles of a triangle add up to 180° (every triangle, always) Since this triangle is a right triangle, one of the angles is a right angle, 90°.
Another angle is given, 85°.
x + 85° + 90° = 180°
x + 175° = 180°
x = 5°
To do this question using mental math, if one angle is 90° the other two angles must add up to 90° (thats the total of 180°) One angle is 85° then the other is 5°
√x = -7
Square root of x equals negative seven
the equation √x = -7 has no real solutions.
Why it is?
There is no real number x that satisfies the equation √x = -7.
The square root of a non-negative real number is always non-negative. Therefore, √x is non-negative for all real numbers x, including x = 0. However, -7 is negative, so the equation √x = -7 has no real solutions.
An equation is a statement that asserts the equality of two mathematical expressions. It generally consists of two sides, left-hand side (LHS) and right-hand side (RHS), which are separated by an equal sign (=). An equation is true when both the LHS and RHS represent the same value or expression.
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Complete question:
What is the solution to the equation √x = -7, where √x represents the square root of x and -7 is a negative number?
If 1+1 =2 than what does 3x+5x equal
Answer:
If 1 + 1 = 2, then we can say that 1 = 2 - 1. Now, if we have 3x + 5x, we can factor out the common term of x to get: 3x + 5x = (3 + 5)x = 8x So, 3x + 5x = 8x.
Find the inverse function of y = 3x
Answer:
Step-by-step explanation:
To find the inverse of the function y = 3x, we need to swap the positions of x and y and then solve for y.
Step 1: Swap the positions of x and y
x = 3y
Step 2: Solve for y
Divide both sides by 3
x/3 = y
So the inverse function of y = 3x is x/3.
We can also verify that this is the inverse function by plugging in x/3 for y in the original equation and confirming that we get x:
y = 3x
x/3 = 3x/3
x/3 = x
Therefore, the inverse function of y = 3x is x/3.
Answer:
Step-by-step explanation:
The given function is y = 3x.
To find its inverse, we start by swapping x and y in the equation to get:
x = 3y
Next, we solve this equation for y to isolate it:
y = x/3
Therefore, the inverse of y = 3x is y = x/3.
Complete the following statement. Write your answer as a decimal or whole number.
__% of $10 = $1
Answer:
10% of $10=$1
Step-by-step explanation
1/10=10% hence 10% of $10 is %1
assume that the weights are normally distributed. the vacuum company natureabhors claims their vacuums are on average lighter than the market average. we sample 31 bagless upright vacuum cleaners from nature abhors and get an average of 19.33. can we show at the 5% significance level that their average is below 19.64?
At the 5% significance level, we can reject the null hypothesis and conclude that there is sufficient evidence to suggest that the average weight of the vacuums from Nature Abhors is less than 19.64 pounds.
To answer this question, we can use a one-sample t-test, assuming that the population of weights is normally distributed. The null hypothesis is that the true mean weight of the vacuums from Nature Abhors is 19.64 pounds, while the alternative hypothesis is that it is less than 19.64 pounds.
We can calculate the t-statistic using the formula
t = (X - μ) / (s / sqrt(n))
where X is the sample mean (19.33), μ is the hypothesized population mean (19.64), s is the sample standard deviation, and n is the sample size (31).
Since we don't know the population standard deviation, we can estimate it using the sample standard deviation. We calculate the sample standard deviation as follows
s = sqrt(sum((xi - X)^2) / (n - 1))
where xi is the weight of the i-th vacuum in the sample. We assume that the weights are normally distributed, so we can use the t-distribution with (n-1) degrees of freedom to calculate the p-value.
Using a t-table or calculator, we can find the critical t-value for a one-tailed test at the 5% significance level with 30 degrees of freedom to be -1.699.
Plugging in the numbers, we get
t = (19.33 - 19.64) / (s / sqrt(31))
s = sqrt(sum((xi - X)^2) / (n - 1)) = 0.714
t = (-0.31) / (0.714 / sqrt(31)) = -1.84
Since the calculated t-value (-1.84) is less than the critical t-value (-1.699), we can reject the null hypothesis at the 5% significance level. Therefore, we can conclude that there is sufficient evidence to suggest that the average weight of the vacuums from Nature Abhors is less than 19.64 pounds.
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The diagram shows a prism.
The cross-section can be divided into three identical rectangles.
Each rectangle measures 7 cm by 4 cm.
The prism is 10cm long.
Work out the volume of the prism.
1.5.17 each vertex of convex pentagon abcde is to be assigned a color. there are 6 colors to choose from, and the ends of each diagonal must have different colors. how many different colorings are possible? (2011amc10a problem 22) (a) 2520 (b) 2880 (c) 3120 (d) 3250 (e) 3750
3120 different types of colorings are possible . Thus, Option C is the correct option. There are 3 cases involved
If there are no similar color pairs then it comes down to simple permutations. Then 6 different types of colors in 5 different spots.6! = 720 cases
No rotation is necessary because all permutation are already accounted for.
If there is one color pair then, consideration of 6 possibilities for the pair is essential 5 for the 3rd vertex, 4 for the 4th vertex, 3 for the 5th vertex6 × 5 × 4 × 3 = 360
There are 5 different locations where the pair can be present.
360 × 5 = 1800 one pairs is possible
If there are two color pair still we have to account for 6 possibilities for the first pair then 5 possibilities for the next pair and 4 possibilities for the last pair.6 × 5 × 4 = 120
There are 5 rotations in the pentagon so the total number of possibilities is
120 × 5 = 600 two pairs are possible
now, we add the 3 cases to find the total number of possibilities
720 + 1800 + 600 = 3120
3120 different types of colorings are possible. Thus, Option C is the correct option.
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My son having trouble with geometry homework. Please help I’m not the best at math.
Angles are created by joining the extremities of two rays, with the joint vertex representing the common terminal of the two beams. The value of ∠c= 48.65.
What are angles?An angle is the result of the intersection of two lines.
An "angle" is the length of the "opening" between these two beams.
Angles are commonly measured in degrees and radians, a measurement of circularity or rotation.
In geometry, an angle can be created by joining the extremities of two rays. These rays are intended to represent the angle's sides or limbs.
The two primary components of an angle are the limbs and the vertex.
The joint vertex is the common terminal of the two beams.
Given,
AC = 33 cm
AB = 35.75 cm
Hence, The value of ∠C = 48.65.
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Which is equal to a temperature of 20°c? a 20°f b. 68°f c. 36°f d. 32°f
Answer:
B
Step-by-step explanation:
f(x)=2x^3+x^2+3 then what is the remainder when f(x) is divided by x-1
Answer: F(1) = 2. (1)^3 + (1)^2 + 3
= 2+1+3
= 7
Step-by-step explanation:
if birr 2000 is raises to 2500 in 4 years at simle interest,then calculate the simple rate
The simple interest rate is therefore 6.25% as the initial principal (P) is 2000 Birr and the final amount (A) is 2500 Birr.
what is interest ?
A creditor assesses interest as a cost to a borrowing in exchange for the use of money; Typically, it is expressed as a portion of the principal amount borrowed. Generally, it is the cost of getting cash.
given
The simple interest formula is
S I = P * r * t,
where I is the interest,
P is the principal (amount of money we start with),
r is the interest rate, and
t is the amount of time in years.
In this instance, we are aware that the initial principal (P) is 2000 Birr and the final amount (A) is 2500 Birr.
The interest rate (r) is constant because we also know that the interest is simple.
We may determine r by using the simple interest formula:
SI = P*r*t= 2500-2000
500 = 2000*r*4
500 = 8000r
r = 500/8000
r = 0.0625
The simple interest rate is therefore 6.25% as the initial principal (P) is 2000 Birr and the final amount (A) is 2500 Birr.
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I run 10 laps around a track each day each lap is 400 meters how long would it take to run a total of 12 kilometers
Answer:
It will take 3 days to runn total of 12 Kilometers
Step-by-step explanation:
12(1000) = 12,000 meters
400(10) = 4000 meters/day
12,000/4000 = 3 days
There are 32 students in the school day. the ratio of girls to all the students in the play is 5:8.
Answer: 16 girls
Step-by-step explanation:
Step 1: Calculate the total number of students in the school by multiplying 32 by the ratio of girls to all the students, which is 5:8.
32 x (5/8) = 20
Step 2: Subtract the result from 32 to get the number of girls in the school.
32 - 20 = 12
Step 3: Multiply the result by the ratio of girls to all the students, which is 5:8.
12 x (5/8) = 16
the pie chart shows the age distribution in a village of 120 people. how many villagers are over 60.And what percentage of villagers are under 25
We can say that approximately 48 villagers (40% of 120) are under the age of 25. This means that just under half of the population in this village is under the age of 25.
According to the pie chart, we can see that the village of 120 people has 20% of its population over the age of 60. To determine the exact number of villagers over 60, we can multiply the total population by the percentage of people over 60:
120 x 20% = 24
So there are 24 villagers over the age of 60 in this village.
As for the percentage of villagers under the age of 25, we can see from the pie chart that 40% of the population falls into this category. However, it is important to note that the question mentions a village of 120 people, while the percentage given in the chart may not reflect this exact number. Therefore, we cannot determine the exact number of villagers under the age of 25 without additional information.
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Jody is feeding her dog from a 10-pound bag. The dog goes through 1 pounds of food
each week.
Enter, in decimal form, how many pounds of food are left after 3 weeks.
After 3 weeks, the dog consumed 3 pounds of food, leaving 7 pounds of food left. Subtracting the amount of food consumed from the initial amount, 10 pounds - 3 pounds = 7 pounds.
How many pounds of food are left after 3 weeks?After 3 weeks, the dog would have consumed 3 pounds of food (1 pound per week x 3 weeks = 3 pounds).
To find out how many pounds of food are left, we can subtract the amount of food consumed from the initial amount:
10 pounds - 3 pounds = 7 pounds
So there are 7 pounds of food left after 3 weeks.
Expressed in decimal form, it would be 7.0 pounds.
What is decimal form?The base-10 numbering system, which employs ten digits (0, 1, 2, 3, 4, 5, 6, 7, 8, and 9) to represent all conceivable numerical values, is used to express numbers in decimal form. When a number is expressed in decimal form, there can be one or more digits to the left of the decimal point that represent the whole number portion of the value and one or more digits to the right of the decimal point that represent the fractional portion of the value.
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2 random samples of 16 paper towels from 2 different brands were tested for absorbency. the mean amount of water absorbed for brand a was 15.63 ml. with a standard deviation of 3.12 ml. for brand b the mean was 14 ml. with a standard deviation of 2.53 ml. a) find a 95% confidence interval for the mean difference in the amount absorbed. state what df you used as well. b) does this interval suggest that there is a significant difference between brands in the amount absorbed?
The 95% confidence interval for the mean difference in the amount absorbed is (0.01, 3.25) ml, with a df of 28. Yes, the interval does not contain zero, suggesting that there is a significant difference between the two brands in the amount absorbed.
To find the 95% confidence interval for the mean difference in the amount absorbed, we can use the formula:
CI = (x1 - x2) ± tα/2 * SE
where x1 - x2 is the difference in means, tα/2 is the critical value from the t-distribution table for a 95% confidence interval with degrees of freedom (df) = 30 - 2 = 28 (assuming equal variances), and SE is the standard error of the difference in means:
SE = sqrt[(s1^2/n1) + (s2^2/n2)]
Plugging in the values, we get:
x1 - x2 = 15.63 - 14 = 1.63
s1 = 3.12, n1 = 16
s2 = 2.53, n2 = 16
SE = sqrt[(3.12^2/16) + (2.53^2/16)] = 0.974
tα/2 for df = 28 and α = 0.05 is 2.048.
CI = (1.63) ± (2.048 * 0.974) = (0.01, 3.25)
Therefore, the 95% confidence interval for the mean difference in the amount absorbed is (0.01, 3.25), with df = 28.
This interval suggests that there is a significant difference between brands in the amount absorbed, since the interval does not include 0. This means that we can reject the null hypothesis that the means are equal at a 5% significance level and conclude that the mean amount of water absorbed for brand A is significantly greater than brand B.
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James and Kim are selling flower bulbs for a school fundraiser. Customers can buy packages of tulip bulbs and packages of crocus bulbs. James sold 3 packages of tulip bulbs and 7 packages of crocus bulbs for a total of $145. Kim sold 10 packages of tulip bulbs and 14 packages of crocus bulbs for a total of $334. Find the cost each of one package of tulips bulbs and one package of crocus bulbs.
The cost of one package of tulip bulbs is 11, and the cost of one package of crocus bulbs is 16.
To find the cost of one package of tulip bulbs and one package of crocus bulbs, follow these steps:
Write two equations based on the given information:
Equation 1 (James): 3T + 7C = 145
Equation 2 (Kim): 10T + 14C = 334
Solve the system of equations using the substitution or elimination method. In this case, we'll use the elimination
method by multiplying Equation 1 by 2 to make the coefficients of C the same:
Equation 1 modified: 6T + 14C = 290
Subtract Equation 2 from the modified Equation 1:
(6T + 14C) - (10T + 14C) = 290 - 334
-4T = -44
Divide both sides by -4 to find the value of T (tulip bulbs):
T = 11
Substitute the value of T back into Equation 1 to find the value of C (crocus bulbs):
3(11) + 7C = 145
33 + 7C = 145
Subtract 33 from both sides:
7C = 112
Divide both sides by 7 to find the value of C:
C = 16
So, the cost of one package of tulip bulbs is 11, and the cost of one package of crocus bulbs is 16.
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PLEASE HELP ILL GIVE BRAINLIEST
Answer: B
Step-by-step explanation: Answer choice B states, that same side interrior angles are supplementary so picture i shows parralel lines. This is trues, as line L and line M have interior angles that are supplementary, meaning that it ends up to 180. This concept is not true for ii, as 106 and 73 angles are not supplementary.
The probability that Isabella wins a
certain game of chance is 3/10 th
Isabella plays the game 150 times, how
many times can she expect to win the
game?
Answer:
45 times
Step-by-step explanation:
I hope this helps
30 points!The Triangle Inequality Theorem to determine the possible whole number measures of the third side of a triangle if the first two sides measure 6 and 2. List them in ascending order.(FILL IN THE BLANK)
The measure of the third side could be__, __, or __.
THANK YOU
Answer:7,6,5
Step-by-step explanation:
So this is how I did it
So the theorem is
a+b>c
a+c>b
b+c>a
---
Let's now substitute A= 6 and B =2 so It'll look something like
6+2> C
6+C> 2
2+C>6
From there I added like terms
8>C
4<C
2<C
Then from there I noticed the numbers 5,6,7 are the the only whole numbers between 4 and 8. So that's what I'm put as my answer.
Find the length of the arc on a circle of radius r intercepted by a central angle . (Round your answer to two decimal places.)
Radius r Central Angle
14 inches 300°
Using the radians we know that the length of the arc in terms of π is s = 1.53 * π * 12 ft or s = 57.60 ft.
What is a circle?
All points in a plane that are at a specific distance from a specific point, the center, form a circle.
In other words, it is the curve that a moving point in a plane draws to keep its distance from a specific point constant.
So, the central angle of degrees must first be converted to radians.
θ(rad) = 275/180 * π = 1.53 rad
Then, by multiplying the Central angle (in rad units) by the circle radius r, the arc length may be determined:
s = θ * r
Changing the θ and r values:
s = 1.53 * π * 12 ft
s = 57.60 ft
Therefore, using the radians we know that the length of the arc in terms of π is s = 1.53 * π * 12 ft or s = 57.60 ft.
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Correct question:
Find the length of the arc, s, on a circle of radius r intercepted by a central angle θ. Express arc length in terms of π. Then round your answer to two decimal places.
Radius, r = 12 feet; Central angle, θ = 275