Solve for x. Then find the length of each side of the figure.

Angle x of the triangle to the nearest tenth is 16.6°

One of the most crucial aspect of mathematics, trigonometry has the wide area of applications. Trigonometry is a discipline of mathematics that mainly focuses on the analysis of how a right-angle triangle's sides and angles relate to one another.

Hypotenuse = 14 units

Adjacent to angle = x

Height=4units

To determine the measure of angle x, we use one of the six trigonometric ratio.

sine = Height / Hypotenuse

Plug in the given values

sin( x ) = 4/14

Solve for x

x =sin( 2/7 )

x = 16.60155°

Therefore, the value of x is 16.60155°

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The X value corresponding to z = -2.25 is X = 56.

A z score is a statistical indicator that shows how far a raw score is from a distribution's mean. Give the z-score formula. The z-score is calculated using the formula z = (x -μ)/σ.

To find the corresponding X value for a given z-score, we use the formula:

X = µ + (z * σ)

Given µ = 65, σ = 4, and z = -2.25, we can calculate the X value:

X = 65 + (-2.25 * 4)

X = 65 - 9

X = 56

Therefore, the X value corresponding to z = -2.25 is X = 56.

The correct answer is b. X = 56.

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The arrangement of expressions from least to greatest is c, a and b

The given expressions are

a. 4-6

b. -4+6

c. -4-6

We need to arrange from least expression to greatest

What is Ascending Order?

The arrangement of numbers from least to greatest

Solve a, b and c expressions

a. 4-6=-2

b. -4+6=2

c. -4-6=-10

We know that -10<-2<2

Therefore the arrangement of expression from least to greatest is c, a and b

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Answer:

1. 75/6 (improper fraction) = 12 3/6 (mixed number) = 12 1/2 (simplified)

2. 2/12 = 1/6 (simplified)

3. 12/72 = 1/6 (simplified)

Hope this helps :)

Answer:

\(\frac{5}{6} * 15 = 12\frac{1}{2}\)

\(\frac{2}{3} * \frac{1}{4} = \frac{1}{6}\)

\(\frac{4}{9} * \frac{3}{8} = \frac{1}{6}\)

Step-by-step explanation:

\(\frac{5}{6} * 15 = \frac{5 * 15}{6} = \frac{75}{6}\\\)

Reduce the fraction by diving both sides by the common factor.

\(\frac{75}{6} = \frac{75 / 3}{6/3} = \frac{25}{2}\)

To convert the improper fraction to a mixed fraction, divide the numerator (25) by the denominator (2), put the whole part of the result in front and the remainder in place of the original numerator.

25 / 2 = 12 with remainder of 1

\(\frac{25}{2} = 12\frac{1}{2}\)

\(\frac{2}{3} * \frac{1}{4} = \frac{2 * 1}{3 * 4} = \frac{2}{12} = \frac{2/2}{12/2} = \frac{1}{6}\)

\(\frac{4}{9} * \frac{3}{8} = \frac{4 * 3}{9 * 8} = \frac{12}{72} = \frac{12 / 12}{72 / 12} = \frac{1}{6}\)

a - 4b

= (-7) - 4(2)

= - 7 - 8

= - 15.

Hope it helps ya :))

Hello castilloesperanza399!

\( \huge \boxed{\mathbb{QUESTION} \downarrow}\)

Evaluate the expression when a= -7 and b=2

a-4b.

\( \large \boxed{\mathfrak{Answer \: with \: Explanation} \downarrow}\)

It's given that,

Our expression is 'a - 4b'. We already have the values of a & b, so to solve it we need to substitute the values given in the place of a & b.

\(a - 4b \\ = ( - 7) - 4(2) \\ = - 7 - 8 \\ = \large\boxed{\boxed{ \bf- 15}}\)

__________________

Hope it'll help you!

ℓu¢αzz ッ

Answer:

B) 3b. 10b

Step-by-step explanation:

B) 3b. 10b = (3x10)(bxb) = 30b²

Answer:

7440

Step-by-step explanation:

3%×2000=60

60+20=80

2000+2000=4000

4000+80=4080

14%×24000=3360+4080=7440

Answer:

2134.4

Step-by-step explanation:

You are multiplying 21.344 by 100, which means all you have to do is move the decimal point towards the left 2 to get your answer

Answer: 2134.4

Step-by-step explanation:

The reason it is this is that when 100 times 21.344 you have to take the two zeros and push the two next numbers after the decimal and put them in front of the decimal.

The number of ways to choose a dance committee of 8 students is 6,096,454 ways.

The number of ways to choose a dance committee with 2 freshmen, 2 sophomores, 2 juniors, and 2 seniors is 1,134,000 ways.

The number of ways to choose a dance committee with 4 juniors and 4 seniors is 12,870 ways.

The probability of selecting a committee consisting of 2 freshmen, 2 sophomores, 2 juniors, and 2 seniors is 0.186.

The probability of selecting a committee consisting of 4 juniors and 4 seniors is 0.002.

To solve these problems, we can use the concept of combinations. The number of ways to choose k items from a set of n items is given by the binomial coefficient, also known as "n choose k," denoted as C(n, k) or nCk.

In general, the formula for the binomial coefficient is:
C(n, k) = n! / (k! * (n - k)!)

Now, let's solve each problem:

In how many ways can a dance committee of 8 students be chosen?
We have a total of 35 eligible students (8 freshmen + 10 sophomores + 9 juniors + 8 seniors). To choose a committee of 8 students, we need to calculate C(35, 8):
C(35, 8) = 35! / (8! * (35 - 8)!)
= 35! / (8! * 27!)
Therefore, the number of ways to choose a dance committee of 8 students is:
35! / (8! * 27!) = 6,096,454 ways

In how many ways can a dance committee be chosen if it is to consist of 2 freshmen, 2 sophomores, 2 juniors, and 2 seniors?
We need to choose 2 students from each category. The number of ways can be calculated by multiplying the number of ways to choose 2 students from each category:
C(8, 2) * C(10, 2) * C(9, 2) * C(8, 2)
Therefore, the number of ways to choose a dance committee with 2 freshmen, 2 sophomores, 2 juniors, and 2 seniors is:
C(8, 2) * C(10, 2) * C(9, 2) * C(8, 2) = 1,134,000 ways

In how many ways can a dance committee be chosen if it is to consist of 4 juniors and 4 seniors?
We need to choose 4 juniors from the 9 available and 4 seniors from the 8 available. The number of ways can be calculated as:
C(9, 4) * C(8, 4)
Therefore, the number of ways to choose a dance committee with 4 juniors and 4 seniors is:
C(9, 4) * C(8, 4) = 12,870 ways

Probability of selecting a committee consisting of 2 freshmen, 2 sophomores, 2 juniors, and 2 seniors.
To find the probability, we need to divide the number of ways to choose the desired committee (as calculated in question 2) by the total number of ways to choose a committee of 8 students (as calculated in question 1):
Probability = (Number of ways to choose the desired committee) / (Total number of ways to choose a committee of 8 students)
Therefore, the probability of selecting a committee consisting of 2 freshmen, 2 sophomores, 2 juniors, and 2 seniors is:
1,134,000 / 6,096,454 ≈ 0.186

Rounded to the nearest thousandth, the probability is approximately 0.186.

Probability of selecting a committee consisting of 4 juniors and 4 seniors.
Similarly, to find the probability, we divide the number of ways to choose the desired committee (as calculated in question 3) by the total number of ways to choose a committee of 8 students (as calculated in question 1):
Probability = (Number of ways to choose the desired committee) / (Total number of ways to choose a committee of 8 students)
Therefore, the probability of selecting a committee consisting of 4 juniors and 4 seniors is:
12,870 / 6,096,454 ≈ 0.002

Rounded to the nearest thousandth, the probability is approximately 0.002.

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1: 8 faces and 9 with the base 9 vertices and 16 edges

2: 3 faces and 5 with the bases 6 vertices and 9 edges

3: 3 faces and 4 with the base 4 vertices and 6 edges

Answer: just trust in God and you will find the answer

Step-by-step explanation:

Answer:

y=x-6 (1)

make y the subject of the equation (1)

make y the subject of the equation (1)y=x-6 (3)

make y the subject of the equation (1)y=x-6 (3)substitute y=x-6 for y in equation 2

make y the subject of the equation (1)y=x-6 (3)substitute y=x-6 for y in equation 2y=2x-8 (2)

make y the subject of the equation (1)y=x-6 (3)substitute y=x-6 for y in equation 2y=2x-8 (2)y(x-6)=2x-8

make y the subject of the equation (1)y=x-6 (3)substitute y=x-6 for y in equation 2y=2x-8 (2)y(x-6)=2x-8x-6=2x-8

make y the subject of the equation (1)y=x-6 (3)substitute y=x-6 for y in equation 2y=2x-8 (2)y(x-6)=2x-8x-6=2x-8collect like terms

make y the subject of the equation (1)y=x-6 (3)substitute y=x-6 for y in equation 2y=2x-8 (2)y(x-6)=2x-8x-6=2x-8collect like terms8-6=2x-x

make y the subject of the equation (1)y=x-6 (3)substitute y=x-6 for y in equation 2y=2x-8 (2)y(x-6)=2x-8x-6=2x-8collect like terms8-6=2x-xx=2.

make y the subject of the equation (1)y=x-6 (3)substitute y=x-6 for y in equation 2y=2x-8 (2)y(x-6)=2x-8x-6=2x-8collect like terms8-6=2x-xx=2.substitute x=2 in equation 3

make y the subject of the equation (1)y=x-6 (3)substitute y=x-6 for y in equation 2y=2x-8 (2)y(x-6)=2x-8x-6=2x-8collect like terms8-6=2x-xx=2.substitute x=2 in equation 3y=x(2)-6

make y the subject of the equation (1)y=x-6 (3)substitute y=x-6 for y in equation 2y=2x-8 (2)y(x-6)=2x-8x-6=2x-8collect like terms8-6=2x-xx=2.substitute x=2 in equation 3y=x(2)-6y=2-6

make y the subject of the equation (1)y=x-6 (3)substitute y=x-6 for y in equation 2y=2x-8 (2)y(x-6)=2x-8x-6=2x-8collect like terms8-6=2x-xx=2.substitute x=2 in equation 3y=x(2)-6y=2-6y= -4

make y the subject of the equation (1)y=x-6 (3)substitute y=x-6 for y in equation 2y=2x-8 (2)y(x-6)=2x-8x-6=2x-8collect like terms8-6=2x-xx=2.substitute x=2 in equation 3y=x(2)-6y=2-6y= -4therefore x=2 and y= -4

Statement is true because the corresponding sides are congruent. The answer is: BA = LN.

What is Triangle?

A triangle is a closed, two-dimensional shape with three straight sides and three angles. It is one of the basic shapes in geometry and is used in many areas of mathematics, science, and engineering.

Since triangle ABC and triangle LMN have congruent corresponding sides, we know that they are similar triangles. This means that their corresponding angles are also congruent.

We are given that angle BAC is 58 degrees and angle MLN is 78 degrees. Since corresponding angles are congruent, this means that angle BAC is congruent to angle MLN.

Therefore, triangle ABC and triangle LMN are similar triangles with two pairs of corresponding congruent angles. This means that all corresponding sides are proportional.

Since AC = LN and BA = ML, we know that the ratio of the lengths of corresponding sides is:

AC / LN = BA / ML

Substituting the given values, we get:

1 = 1

This statement is true because the corresponding sides are congruent.

Therefore, the answer is: BA = LN.

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Answer:

2, 5, 6

Step-by-step explanation:

from top to bottom, it's the second, fifth, and sixth

Answer:

Option A will be your answer

Step-by-step explanation:

hope it helps u....

we have

Real world example

A pounds of banana cost $1.50

what is the cost of 6.5 pounds

Let

x -----> number of pounds

y -----> the total cost

the linear equation is

y=1.50x

so

the pattern is the equation of a line

see the attached figure

For x=6.5 pounds

substitute

y=1.5*(6.5)

y=$9.75

Compare the result of the equation with the graph

the result is the same

Answer:

nein nein nein nein nein nein nein

Answer:

45x^5y^16/9x^5y^4

Step-by-step explanation:

5x^y^4 is the answer

A 90% confidence interval for the average speed of all drivers on interstate 94 is (73.69, 76.31)

Given that,

Imagine asking a sample of 16 people how quickly they travel on Interstate 94. You determine the average speed to be 75 mph and the variance to be 9 mph after gathering your sample.

Solution is as given below :

90% Confidence Interval for μ is

μ = X ± tₐ/2 (n-1) 5/\(\sqrt{n}\)

μ = 75  ± (1.75) * 3/\(\sqrt{16}\)

μ = (73.69, 76.31)

Consequently, a 90% confidence interval for the interstate 94 average speed of all drivers is μ = (73.69, 76.31)

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Taylor should consider the number of outcomes on the die that are greater than both one and three, to calculate her probability of winning the game. The desired outcomes for her calculation would be the numbers 4,5 and 6 on the die.

In order for Taylor to win the game, she needs to roll a number higher than both of her friends' rolls, which were 1 and 3. The only way for Taylor to achieve this is by rolling either a 4, 5, or 6 on the die. These three outcomes represent the desired outcomes for Taylor. Since there are three possible outcomes on a six-sided die and Taylor wants to roll a number higher than both friends, she should count these three desired outcomes in her probability calculation.

To calculate the probability, Taylor needs to consider the ratio of the number of desired outcomes to the total number of possible outcomes. In this case, the total number of possible outcomes is 6 (the number of sides on the die). The number of desired outcomes is 3 (the numbers 4, 5, and 6). Therefore, Taylor's probability of winning can be calculated as 3/6 or 1/2, which simplifies to 50%. So, Taylor has a 50% chance of rolling a number higher than both of her friends and winning the game.

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Answer:

i dont see anything maybe try uploading it again

Step-by-step explanation:

Answer:

Step-by-step explanation:

JK = 8

JL = 25

find KL

JK + KL = JK

8 + KL = 25

KL = 25 - 8

KL = 17

It would cost approximately $1.10 to use the clothes washer.

To calculate the cost of using the clothes washer, you'll need to multiply the energy usage (in kilowatts) by the duration (in hours) and the cost per kilowatt-hour. In this case, the clothes washer used 2.6 kilowatts for 0.9 hours and the electricity cost is $0.47 per kilowatt-hour.

To find the total cost, use the following formula:

Total cost = Energy usage (kilowatts) × Duration (hours) × Cost per kilowatt-hour

Plug in the given values:

Total cost = 2.6 kilowatts × 0.9 hours × $0.47 per kilowatt-hour

Total cost = $1.1046

To find the cost to the nearest penny, round the result to two decimal places:

Total cost = $1.10

So, it cost approximately $1.10 to use the clothes washer.

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Answer:

1. f(x)=2  2. g(x)7 14

Step-by-step explanation:

1. if you graph the points for f(x) then you get 2.

2. if you graph the points for g(x) then you get 7.

and there is your answer! hope this helps!

The first five terms of the sequence are {-9, 54, -324, 1944, -11664}.Hence, the first five terms of the sequence are {-9, 54, -324, 1944, -11664}.

Given that a1 = -9 and an = -6an-1 to find the first five terms of an: {a1, a2, a3, a4, a5}

We have to use the formula an = -6 an-1 to find the next terms.

The first term a1 is given to us. So, a1 = -9

We can use the formula an = -6an-1 to find the next term using a1= -9 an1 = -6 * a1 = -6 * (-9) = 54

Thus the first two terms of the sequence are {-9, 54}.

We can use the formula an = -6an-1 to find the third term an2 = -6 * an1= -6 * 54 = -324

Thus the first three terms of the sequence are {-9, 54, -324}.

We can use the formula an = -6an-1 to find the fourth term an3 = -6 * an2= -6 * (-324) = 1944

Thus the first four terms of the sequence are {-9, 54, -324, 1944}.

We can use the formula an = -6an-1 to find the fifth term an4 = -6 * an3= -6 * (1944) = -11664

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Answer:

The square root of 38.

Step-by-step explanation:

The square root of 38 is about 6.16.

The square root of 35 is about 5.91.

The square root of 45 is about 6.70.

The square root of 48 is about 6.92,

So the most reasonable one is the square root of 38, since it is much closer to 6.

The value of the t test is 13.36, we have to conclude that there is sufficient evidence that suggests that insurance adjustment was greater than $2400.

H0: u = 24000

H1: u > 24000

we have n = 84 homes

bar x = 27500

s = 2400

Next we have to find the test statistic

The formula for this is given as

\(t = \frac{x-u}{s/\sqrt{n} }\)

When we out in the values we would have

\(t = \frac{27500-24000}{2400/\sqrt{84} }\)

This would give us the answeer of the t test as

t test = 13. 3658

We have alpha = 0.02

the degree of freedom = 84 - 1 = 83

we have to find tα/2, df

=  ±2.0865

Given that the value of the test statistic is greater than critical value we would have to then reject the null hypothesis.

Hence the conclusion that we can make is that there is sufficient evidence that suggests that insurance adjustment was greater than $2400.

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Answer:

500 would be the answer of this question but it is also the standard form of this question

Answer:

$.20 × (x) + $79

Step-by-step explanation:

To find out how much needs to be paid, subtract the 500 from the total amount of minutes used to find the amount of minutes used over 500. Then, multiply the additional minute cost by the additional minutes and the add the normal price to that.

Say they used 560 minutes in a month. You would subtract 500 from 560 to get to get 60. Then, you would multiply 60 by $.20 to get $12. Then, add $12 to the original price of $79 to get $91, and that would be the total cost that month.

560 - 500 = 60 × $.20 = $12 + $79 = $91

Answer:

x = -6

Step-by-step explanation:

Add seven to both sides and divide by eight.

8x = -48

x = -6

Hey there!

Let's solve this equation!

Step 1:

\(\bold{8x+(-7)=-55}\)

\(\bold{8x-7=-55}\)

Step 2:

\(\bold{8x-7+7=-55+7}\)

\(\bold{8x=-48}\)

Step 3:

\(\bold{x=-6}}\)

Hence, the answer is

\(\boxed{\boxed{\bold{x=-6}}}\)

Hope everything is clear.

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Answer:

see below for corrections

Step-by-step explanation:

equation A: 5(1 - 6) + 3r = (21 - 8)

5(-5) + 3r = 13

-25 + 3r = 13

3r = 38

r = 12.667

equation B: 2.7(5.11 + 4.9) = 3.2 + 28.9

2.7(10.01) = 32.1

27.027 = 32.1

no solution (are you missing a variable somewhere?)

equation C: your equation does not make sense. if you fix it, i can help