a triangle has an angle that measures 50 degrees. the other two angles are in a ratio of 2:11. what are the measures of those two angles?

Hello!

∠AED and ∠BEC are opposite angles

so ∠AED = ∠BEC = 36°.

Answer:

D) 210 degrees

Step-by-step explanation:

The angle 210 degrees is equal to 7π/6 radians.

This is a coterminal angle of 31π/6, because it is the same angle, just measured from a different starting point.

Answer:

quadratic term = 2\(x^{2}\)

Step-by-step explanation:

2\(x^{2}\)-9x-5=0   will be the same as (a\(x^{2}\)+bx+c)

where (a\(x^{2}\)) is the quadratic term

and (bx) is the linear term

and(c) is the constant term

Solution:

The functions are given below as

Step 1:

Using a graphing calculator, we will have

Step 2:

The second function is given below as

Step 3:

The third function is given below as

Hence,

By combining the functions, we will have

Hence,

The arrangement from widest to narrowest is given below as

Answer:

Therefore, the volume of the diversion tunnel is approximately 9,839,916,800 cubic feet and the surface area is approximately 1,000,530.9 square feet.

Step-by-step explanation:

To find the volume and surface area of a diversion tunnel, we can use the formulas for the volume and lateral surface area of a cylinder.

The volume of a cylinder is given by the formula:

V = πr^2h

Where:

V is the volume,

π is a mathematical constant approximately equal to 3.14159,

r is the radius of the cylinder, and

h is the height (or length) of the cylinder.

Substituting the given values:

r = 56 feet

h = 4,000 feet

V = π(56^2)(4,000)

V ≈ 3.14159 * 56^2 * 4,000

Calculating the volume:

V ≈ 9,839,916,800 cubic feet

The surface area of the lateral (curved) part of a cylinder is given by the formula:

A = 2πrh

Where:

A is the surface area,

π is a mathematical constant approximately equal to 3.14159,

r is the radius of the cylinder, and

h is the height (or length) of the cylinder.

Substituting the given values:

r = 56 feet

h = 4,000 feet

A = 2π(56)(4,000)

A ≈ 2 * 3.14159 * 56 * 4,000

Calculating the surface area:

A ≈ 1,000,530.9 square feet

Therefore, the volume of the diversion tunnel is approximately 9,839,916,800 cubic feet and the surface area is approximately 1,000,530.9 square feet.

Answer: you need to add

Step-by-step explanation: I would ask your teacher to help you understand the lesson.  

Answer:

There is a 0.15625 = 15.625% probability that you choose each answer at random and get 4 of the questions correct.

The formula for the probability of x successes is:

The parameters are given by:

n is the number of trials of the experiment.

p is the probability of success on a single trial of the experiment.

For this problem, we have that:

There are 5 questions, hence n = 5.

Each question has two options, true or false, p = 1/2.

The probability of 4 correct is given by P(X = 4)

P(X = 4) = 5 x (0.5)^4 x (0.5) = 0.15625.

0.15625 = 15.625% probability that you choose each answer at random and get 4 of the questions correct.

Your Welcome :)

Answer:

C) 148.413

Step-by-step explanation:

ƒ(t) = et

Where ƒ(t) = number of bacterials present at a particular time t.

So let's determine the number of bacterial present at 5 hours

ƒ(t) = et

ƒ(5) = e(5)

ƒ(5) = 148.413

Approximately= 148 in whole numbers.

So the number of bacterial present at 5 hours is approximately 148 bacterial.

Let's remember we solved it from the equation ƒ(t) = et .

Thank you

Answer:

Step-by-step explanation:

The solution is the point where the lines intersect! (3.5,-4)

The fraction which is closest to 1/2 is, 3/8. So option B is correct

Fraction is a mathematical term, which represents the portion or sub-parts of the whole thing. Basically, It has two parts: numerator and denominator.

Numerator is a number which lies on the top side, it indicates the number of equal parts taken and denominator is on the bottom side, it indicates the equal parts of the whole number.

Given that,

A fraction number 1/2

In decimal form = 0.5

Closest fraction number = ?

Most closest number is that number from which we subtract the given number and the magnitude of result we get is very less,

Lets take, A fraction 1/6

In decimal form it can written as,  0.167

Difference 1 =  0.5 - 0.167

                  =   0.333

Similarly, For numbers 3/8, 3/4, -1/2

Difference 2 =  0.5 - 0.375  = 0.125

Difference 3 =  0.5 - 0.75  = -0.25

Difference 4 =  0.5 - (-0.5)  =  1.0

It can be seen that,

Magnitude of difference in case of 3/8 is very less

Hence, the closest number is 3/8

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Option D is the correct answer.

From the graph, we can conclude that,

1. The two lines are continuous lines and not broken lines. So, the inequality sign should be either ≤ or ≥.

2. The points on the lines of the shaded region are also included in the solution.

The only option that matches with the above conditions is option D. So, option D is the correct answer.

Let us verify it.

Now, let us consider a point that is inside the shaded region and also on any one line.

Let us take (0, 2).

Plug in 0 for x and 2 for y in each of the options and check which inequality holds true.

Considering the inequalities,

y ≥ 3x - 2

x + 2y ≤ 4

Solving we get,

2 ≥ 3(0) - 2

2 ≥ -2

x + 2y ≤ 4

0 + 2(2) ≤ 4

4 ≤ 4

Here, both inequalities are correct.

So, option D is the correct answer.

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The complete question is =

Which system of linear inequalities is graphed?

A. y < 3x-2

x + 2y ≥ 4

B. y < 3x - 2

x + 2y > 4

C. y > 3x - 2

x + 2y < 4

D. y ≥ 3x - 2

x + 2y ≤ 4

Step-by-step explanation:

inequality form would be x<-12 or >2

I hope this helps

Answer:

2

Step-by-step explanation:

(x+5)>7

x+5>7

x>7-5

x>2

Answer:

If Romona Complete all 30(Don't forget to group all 30) 5/6 were correct! then you will need to subtract 30-5/6= so that would be 29 1/6 Then if you need to find the amount that would be right take the Whole number! so take 30/50 and divide and you should get your answer!

Step-by-step explanation:

i hope this helps

If Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.

To represent the number of bags of pears, b, that Natalie sells at the Saturday market, we can use the following equation:

b = total_number_of_pears / pears_per_bag

In this equation, "total_number_of_pears" represents the total quantity of pears Natalie has, and "pears_per_bag" represents the number of pears she puts in each bag.

Given that Natalie has a total of 48 pears, we can substitute the value into the equation:

b = 48 / pears_per_bag

Now, we need to determine the number of pears she puts in each bag. The information provided states that Natalie sells bags of pears, and each bag is sold for $5. However, the specific number of pears per bag is not given. To proceed, we need this information.

Let's assume that Natalie puts 4 pears in each bag. We can substitute this value into the equation:

b = 48 / 4

Simplifying the equation gives:

b = 12

So, if Natalie puts 4 pears in each bag, she will be able to sell a total of 12 bags of pears at the Saturday market.

It's important to note that the specific value of "pears_per_bag" will affect the final result. If Natalie puts a different number of pears in each bag, the equation will yield a different number of bags sold.

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x = 301/56

Algebra is the branch of mathematics that deals with numbers and values which are represented with letters and symbols.

Sometimes, we do not want to mention a particular number, we can represent the number by a letter or a suitable symbol. This approach is algebraic.

For example, d + d = 2d

This is an example of an algebraic expression

Given the algebraic expression,

\(3\frac{1}{8} \div (x - 4 \frac{7}{28} ) = \frac{17}{18} + 1 \frac{5}{6} \)

Step 1:

Simplify the expression by converting the mixed numbers into improper fractions:

25/8 ÷ ( x - 119/28) = 17/18 + 11/6

Step 2: Simplify the right side of the equation

25/8 ÷( x - 119/28) = 17/18 + 33/18

25/8 ÷( x - 119/28) = 50/18

Step 3: Multiply both sides of the equation by (x - 119/28)

25/8 = 50/18 × (x - 119/28)

Step 4: Multiply both sides of the equation by (18/50)

25/8 × (18/50) = (x - 119/28)

Step 5: Simplify the left side of the equation

9/8 = (x - 119/28)

Step 6: Add 119/28 to both sides of the equation

9/8 + 119/28 = x

Step 7: Calculate the value of x:

x = 9/8 + 119/28

= 63/56 + 238/56

= 301/56

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The 99% confidence interval for the true population mean backpack weight is approximately (68.15, 71.85) ounces, rounded to two decimal places.

To construct a 99% confidence interval for the true population mean backpack weight, we can use the formula:Confidence Interval = Sample Mean ± (Critical Value * Standard Deviation / √Sample Size).

Since the population standard deviation is known, we can use the z-distribution and find the critical value corresponding to a 99% confidence level. The critical value for a 99% confidence level is approximately 2.576.

Given that the sample mean weight is 70 ounces, the population standard deviation is 6.4 ounces, and the sample size is 48, we can calculate the confidence interval:

Confidence Interval = 70 ± (2.576 * 6.4 / √48).

Simplifying the expression, we get:

Confidence Interval ≈ 70 ± 1.855.

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Answer:

75

Step-by-step explanation:

f(4) means to use 4 in place of x.

f(x) = 3(5)^(x-2)

fill in 4 for

f(4) = 3(5)^(4-2)

do the 4-2 subtraction first

f(4) = 3(5)^2

do the 5 to the 2nd power next.

f(4) = 3(25)

last, multiply.

f(4) = 75

This is just following the typical order of operations.

The standard form equation for the line through the points (3,-4) and (6,-2) is  -2/3 x + y = 4.

What is the equation of the line passing through the two-point?

To find the equation for the line through two points we can use the formula:

y - y1 = m(x - x1)

where (x1, y1) is one of the points, and m is the slope of the line. The slope of the line is equal to the change in y over the change in x, which can be calculated as:

m = (y2 - y1) / (x2 - x1)

where (x2, y2) is the other point.

Substituting the given points and the formula for the slope into the formula for the equation of the line, we get:

y - (-4) = ((-2) - (-4)) / (6 - 3) (x - 3)

This simplifies to:

y + 4 = -2/3 (x - 3)

To write the equation in standard form, we can distribute the -2/3 and then rearrange the terms:

-2/3 x + y = 4

Hence, the standard form equation for the line through the points (3,-4) and (6,-2) is  -2/3 x + y = 4

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Answer:

Option C

Step-by-step explanation:

(7x^3y^3)^2

= (7)^2 * (x^3)^2 * (y^3)^2

= 49 * x^(3*2) * y^(3*2)

= 49x^6y^6

You have to distribute the terms in "7x^3 * y^3" each to the power of 2

(7)^2 * (x^3)^2 * (y^3)^2

Now you can apply the rule "(x^a)^b = x^a*b" and further simplify the expression

Answer:

it is c

Step-by-step explanation:

2x7=49 so its not a or d. 3x2=6 so both would be six so it is 49x^6y^6

If the sample size was increased, the 95% confidence interval would decrease. A larger sample size would provide more precise and accurate data, resulting in a narrower confidence interval.

A confidence interval is a range of values within which a population parameter is estimated to lie with a certain level of confidence. It is commonly used in statistical inference to estimate the true value of a population parameter based on a sample from that population.

If the sample size was increased, the 95% confidence interval would likely decrease. This is because a larger sample size typically leads to more precise estimates and less variability in the data, resulting in a narrower confidence interval. However, the exact size of the decrease would depend on various factors such as the amount of variability in the data and the level of statistical significance chosen for the study.

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Using linear function you would need to cross the bridge 30 times for the costs of the two toll options to be the same.

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Answer: 2(x+3)(x+2)

Step-by-step explanation:

The full 8-bit ASCII code provides a wide range of possibilities for encoding characters, including uppercase and lowercase letters, numbers, punctuation marks, and control codes for various functions.    

ASCII (American Standard Code for Information Interchange) is a character encoding standard that assigns unique numerical values to letters, numbers, and symbols. The original ASCII code was developed in the 1960s and uses 7 bits to represent each character, allowing for a total of 128 possible characters to be encoded. Later, an extended ASCII code was developed that used all 8 bits of a byte to represent 256 characters.

Each bit in an ASCII code represents a binary digit, either a 0 or a 1, which can be thought of as a switch that is either on or off. By combining eight of these switches, or bits, in different configurations, we can represent a total of 256 different values, ranging from 00000000 to 11111111 in binary, or 0 to 255 in decimal.

In a byte, we can consider the first four bits, or the left-most 4 bits, as one "nybble" and the last four bits, or the right-most 4 bits, as another "nybble." Each nybble can be considered as a hexadecimal digit, with values ranging from 0 to 15, or 0000 to 1111 in binary. Hexadecimal is commonly used in computing to represent byte values because it is more compact than binary and easier to read than decimal.

hence The full 8-bit ASCII code provides a wide range of possibilities for encoding characters, including uppercase and lowercase letters, numbers, punctuation marks, and control codes for various functions. Although newer character encoding standards have since been developed, ASCII remains an important part of computing history and is still widely used today.

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The scale would be 1 in to 6 ft

Here, we want to get scale for our new drawing with respect to the actual room measurement

From what we have, we can see that the dimensions of the blueprint was halved

So the ratio of the new drawing to the actual room will be 8 inches to 48 feet

Mathematically, that would be 1 in. ratio 6 ft

The equation of the line having slope 0 and passing through (-3,-2) is f(x) = -2.

Any horizontal line has the same y-value for every point on the line. We are given that the line passes through the point (-3,-2). This means that f(-3) = -2, since the y-value of the point (-3,-2) corresponds to the value of the function at x = -3.

This is because no matter what x-value we plug into the function, the output (y-value) will always be -2. Therefore, the equation of the line in function notation is f(x) = -2.

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From the given information, the measure of DEF is 81°

From the question, we are to determine the measure of DEF

From the given information,

DEF and RST are complementary angles. This means they sum up to 90°

Thus,

(3(-5 + 2x)) + (x - 7) = 90

(3(-5 + 2x)) + (x - 7) = 90

(-15 + 6x) + (x - 7 ) = 90

-15 + 6x + x - 7 = 90

6x + x = 90 + 15 + 7

7x = 112

x = 112/7

x = 16

Then, substitute the value of x to determine the measure of DEF

(3(-5 + 2x))

= (3(-5 + 2(16)))

= (3(-5 + 32))

= (3(27))

= 81°

Hence, the measure of DEF is 81°

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