Solve for x . Round to the nearest tenth.
BC=39

Solve For X . Round To The Nearest Tenth. BC=39

Answers

Answer 1

After solving the equation the length of side is 47.97 unit.

What is triangle?

A triangle is a three-sided geometric shape. It is a closed figure, meaning the sides are connected, and it has three angles, each of which is less than 180 degrees. Triangles can be classified by their angles and sides. The three most common types of triangles are equilateral, isosceles, and scalene. An equilateral triangle has three equal sides and three equal angles. An isosceles triangle has two equal sides and two equal angles. A scalene triangle has three unequal sides and three unequal angles. All triangles have an area, perimeter, and at least one line of symmetry. Triangles are used in a variety of fields, such as engineering, architecture, and art.

Main body:

according to question :

As the vertices are A,B,C

∠C= 51°

BC = 39

as we need to find relation between perpendicular and base , we will use tangent trigonometric ratio.

AB/BC = tan 51°

x/39 = tan 51°

x = 1.23*39

x = 47.97

Hence ,the length of side is 47.97 unit.

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Related Questions

Any nice math experts I have 5 unanswered questions on my profile where you can get more points please consider answering them this is my offering for your time and knowledge.

Answers

Answer:

I´m not an expert but I´ll look at it :3

Step-by-step explanation:

consider this code: "int s = 20; int t = s++ + --s;". what are the values of s and t?

Answers

After executing the given code, the final values of s and t are s = 19 andt = 39

The values of s and t can be determined by evaluating the given code step by step:

Initialize the variable s with a value of 20: int s = 20;

Now, s = 20.

Evaluate the expression s++ + --s:

a. s++ is a post-increment operation, which means the value of s is used first and then incremented.

Since s is currently 20, the value of s++ is 20.

b. --s is a pre-decrement operation, which means the value of s is decremented first and then used.

After the decrement, s becomes 19.

c. Adding the values obtained in steps (a) and (b): 20 + 19 = 39.

Assign the result of the expression to the variable t: int t = 39;

Now, t = 39.

After executing the given code, the final values of s and t are:

s = 19

t = 39

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A researcher wishes to estimate the proportion of X-ray machines that malfunction. A random sample of machines is taken, and of the machines in the sample malfunction. Based upon this, compute a confidence interval for the proportion of all X-ray machines that malfunction. Then find the lower limit and upper limit of the confidence interval. Carry your intermediate computations to at least three decimal places.


Required:

a. What is the lower limit of the 95% confidence interval?

b. What is the upper limit of the 95% confidence interval?

Answers

The lower limit of the 95% confidence interval for the proportion of all X-ray machines that malfunction is [lower_limit]. The upper limit of the 95% confidence interval for the proportion of all X-ray machines that malfunction is [upper_limit].

To calculate the confidence interval, we can use the formula for proportion confidence interval:

Confidence Interval = Sample Proportion ± Margin of Error

The sample proportion is the proportion of machines in the sample that malfunctioned. Let's denote this proportion as p.

The margin of error can be calculated using the formula:

Margin of Error = Z ×√[(p × (1 - p)) / n]

Where Z is the critical value corresponding to the desired confidence level, p is the sample proportion, and n is the sample size.

This is a 95% confidence interval, the critical value Z is approximately 1.96 (obtained from the standard normal distribution).

Once we have the sample proportion and the margin of error, we can calculate the lower and upper limits of the confidence interval as:

Lower Limit = p - Margin of Error

Upper Limit = p + Margin of Error

Please note that the exact values for p and the sample size (n) are not provided in the question, so it is not possible to calculate the confidence interval without that information.

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Texas is home to about 70% of the 47 species of bats in the United States. About how many species of bats live in Texas?​

Answers

Answer:

33

Step-by-step explanation:

70% of 47 is 33 species

Answer:

32.9

Step-by-step explanation:

You deposit $6000 in an account that earns 3% annual interest. Find the balance after 6 years if this interest is
compounded with the given frequency.

Answers

end amount would be $7,164.31

Simplify the expression. (a-¹b²³² · α=¯¾b²³) ² 2 a 3 62

Answers

The simplified expression is: \(a^{(-14/3)} \times b^{(14/3)\)

Given is an expression, \((a^{(-1)} b^{(1/3)} \times a^{(-4/3)} b^2)^2\), we need to simplify the expression,

To simplify the expression, let's break it down step by step:

The given expression is:

\((a^{(-1)} b^{(1/3)} \times a^{(-4/3)} b^2)^2\)

First, let's simplify the exponents inside the parentheses:

\((a^{(-1)} b^{(1/3)} \times a^{(-4/3)} b^2)^2\) = \(a^{[(-1) + (-4/3)]} \times b^{[(1/3) + 2]}\)

= \(a^{(-7/3)} \times b^{(7/3)\)

Now, let's square this simplified expression:

\([a^{(-7/3)} \times b^{(7/3)]^2\) = \(a^{(-7/3)^2} \times b^{(7/3)^2\)

= \(a^{(-14/3)} \times b^{(14/3)\)

Therefore, the simplified expression is: \(a^{(-14/3)} \times b^{(14/3)\)

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Please help!
Determine which integer in the solution set will make the equation true.

6x − 8 = 2(2x + 3)

S: {−2, 0, 7, 9}

−2
0
7
9

Answers

The integer in the solution set will make the equation true is 7.

What is integer?

The integer is a whole number which can be negative or positive or zero, they are written in fraction formate.

Given is an equation, 6x − 8 = 2(2x + 3)

Checking for x = -2, we get,

LHS = -2x6 - 8 = -12-8 = -20

RHS = 2(-2x3+3) = 2(-4+3) = 2x-1 = -2

LHS ≠ RHS

Checking for x = 0, we get,

LHS = 6x0-8 = -8

RHS = 2(2x0+3) = 2x3 = 6

LHS ≠ RHS

Checking for x = 7, we get,

LHS = 6x7-8 = 42-8 = 34

RHS = 2(2x7+3) = 2x17 = 34

LHS = RHS

Therefore, when x =7, both the expressions are equal.

Hence, the equation is true for the x =7

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help in number 3 please

help in number 3 please

Answers

Answer:

The two restrictions that we have for x are:

x < -2

x > -0.5

Step-by-step explanation:

In part 3 we want to solve:

-5 < f(x) < 1

But we don't know the actual equation of f(x), we have only the graph, so let's work with that.

So with the graph, let's find the allowed values of x.

First, let's see the possible values of x such that:

-5 < f(x)

in the graph, we can see that:

f(-2) = -5

And as x decreases we will have:

f(x) > -5

So here we found one restriction for x, if we want:

f(x) > -5, then we must have x < - 2

Now let's find the other case, where:

f(x) > 1

Again, in the graph we can see that:

f(-0.5) = 1

And as x increases, the value of f(x) decreases.

so if x > -0.5

f(x) < 1.

Then we found another restriction for x:

x > -0.5

The two restrictions that we have for x are:

x < -2

x > -0.5

So if x is a value such that one of these two inequalities is true, then the inequality:

-5 < f(x) < 1

is true.

Which group of voters has the greatest percentage of student voters?

A table with two columns and one row. The title of the first column is Student Voters. The title of the second column is Total Voters. The row has one hundred twenty and two hundred forty.

A table with two columns and one row. The title of the first column is Student Voters. The title of the second column is Total Voters. The row has one hundred fifty and two hundred fifty.

A table with two columns and one row. The title of the first column is Student Voters. The title of the second column is Total Voters. The row has two hundred and four hundred fifty.

A table with two columns and one row. The title of the first column is Student Voters. The title of the second column is Total Voters. The row has three hundred fifty and nine hundred.

11 of 20 Questions

Answers

To determine which group of voters has the greatest percentage of student voters, we need to calculate the percentage of student voters for each row in the given tables.

For the first table:
Student Voters: 120
Total Voters: 240

Percentage of student voters: (120 / 240) * 100 = 50%

For the second table:
Student Voters: 150
Total Voters: 250

Percentage of student voters: (150 / 250) * 100 = 60%

For the third table:
Student Voters: 200
Total Voters: 450

Percentage of student voters: (200 / 450) * 100 = 44.44...%

For the fourth table:
Student Voters: 350
Total Voters: 900

Percentage of student voters: (350 / 900) * 100 = 38.88...%

Based on these calculations, the second table, with a percentage of 60% student voters, has the greatest percentage of student voters.

-2
-1
- 0
1
12.
3
-1
B
The midpoint of AB = ([?], [ ])

-2-1- 0112.3-1BThe midpoint of AB = ([?], [ ])

Answers

The answer might be -2

Barak asks 200 students which flower they like best. If 70 students responded that they like tulips, what percent of the students surveyed said they like tulips? A) 35% B) 70% C) 75% D) 200% Brad has 50 marbles Seventy percent of them are green. How many marbles are green?​

Answers

Answer:

1) 35%.     2) 35

Step-by-step explanation:

1)


x : 100 = 70 : 200

x = 70 * 100 / 200

x = 70/2

x = 35%


2)

70 : 100 = x : 50


x = 50 * 70/ 100

x = 7 * 5

x = 35

Given: R is the midpoint of QS

Prove: PRQ = TRS

Given: R is the midpoint of QSProve: PRQ = TRS

Answers

Answer:

Step-by-step explanation:  Hello!

I don't remember all of the postulates to these, but I hope this will help you! Vertical angles are congruent, so both angles SRT and PRQ are congruent.  This also means that line segments PQ and ST are congruent.  You also know that angles Q and S are congruent which is given.  By the ASA Theorem, when two angles and a side are congruent, then the triangles are congruent.

Recommendations
2 Skill plans
A Math
de Language arts
WV Standards
Geometry
F.1 Classify triangles TNN
A triangle has side lengths of 9 centimeters, 17 centimeters, and 17 centimeters. What kind
of triangle is it?

Answers

Answer:

  acute isosceles triangle

Step-by-step explanation:

Two sides are the same length, so the triangle is isosceles.

All angles are acute, so the triangle is an acute triangle.

The triangle is an acute isosceles triangle.

Recommendations2 Skill plansA Mathde Language artsWV StandardsGeometryF.1 Classify triangles TNNA triangle

survey mean (miles) standard deviation (miles) a 13.9 1.5 b 15.1 1.5 the table shows the results of two surveys that asked random samples of people about the distances they commute to work each day. which statement is true based on the results of these surveys?

Answers

Answer:

Step-by-step explanation:

The mean and standard deviation of two surveys do not give enough information to determine which statement is true. To compare the two surveys and determine which is true, you would need additional information such as the sample sizes, the confidence intervals for the means, and/or a hypothesis test comparing the means of the two surveys.

A bridge is built in the shape of a parabolic arch. The bridge has a span of s=140 feet and a maximum height of h=20 feet. Choose a suitable rectangular coordinate system and find the height of the arch at distances of 10 , 30 , and 50 feet from the center.

Answers

The height of the arch at a distance of 10 and 50 feet from the center of the bridge is the same.

Given that a bridge is built in the shape of a parabolic arch. The bridge has a span of s = 140 feet and a maximum height of h = 20 feet.

To find the height of the arch at distances of 10, 30, and 50 feet from the center, we need to follow the below steps:

Choose a suitable rectangular coordinate system, which will be given by the x-axis (horizontal) and the y-axis (vertical) with its origin at the center of the bridge.

Using the vertex form of a parabola:y = a(x - h)² + kWhere a is the stretch factor, h is the horizontal shift of the vertex and k is the vertical shift of the vertex.

For this parabolic arch, the vertex is located at the center of the bridge (70,20).

Hence, the equation becomes:y = a(x - 70)² + 20.

Here, the value of a can be obtained using the maximum height of the bridge.i.e, 20 = a(70 - 70)² + 20=> a = 1/20.

Therefore, the equation of the parabolic arch is:y = (1/20)(x - 70)² + 20.

Now, substitute the values of x = 10, 30, and 50 into the equation and calculate the height of the arch.a. When x = 10,y = (1/20)(10 - 70)² + 20= 360/20= 18 feetb. When x = 30,y = (1/20)(30 - 70)² + 20= 260/20= 13 feetc.

When x = 50,y = (1/20)(50 - 70)² + 20= 360/20= 18 feet.

Therefore, the height of the arch at distances of 10, 30, and 50 feet from the center are 18 feet, 13 feet, and 18 feet respectively.

Therefore, we can conclude that the height of the arch at a distance of 10 and 50 feet from the center of the bridge is the same. While the height of the arch at 30 feet from the center is smaller than the other two distances. We can also conclude that the arch is symmetrical since the height at 10 and 50 feet from the center is the same and the center of the bridge is also the vertex of the parabola.

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0.1 of 60 minutes?

(pleas help me thank u)

Answers

The simplification of the given expression would be = 6

How to calculate the simplification of the given expression?

60 minutes = 1 hour

But 0.1 of 60 minutes simply means the quantity of 60 minutes that is 0.1.

This can be calculated through the multiplication of 0.1 by 60 minutes.

That is;

= 0.1 ×60 = 6.

Therefore, the the quantity of 60 minutes that is 0.1 = 6.

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if i were to rotate PQRS 90° counterclockwise, what would be the new coordinates?

if i were to rotate PQRS 90 counterclockwise, what would be the new coordinates?

Answers

Answer:

Q= (-2,-2) P=(-6,-4) R=(-6,-2) S=(-6,-6)

Step-by-step explanation:


Given linear function g(x) = 5 - 2/3 x

a) find g(9)
AND
b) solve g(x)=7 for x

Answers

For part a, we need to substitute 9 for x.

g(x) = 5 - 2/3(9). Simplify the right side of the equation.

g(x) = 5 - 6.

g(x) = -1

For part b, we need to solve for x by substituting 7 for g(x).

7 = 5 - 2/3x. Subtract 5 from both sides.

2 = -2/3x. Divide each side by -2/3.

-3 = x

what is the y-intercept​

what is the y-intercept

Answers

Answer:

(0,6)

Step-by-step explanation:

The y intercept is where the line crosses the y axis or the coordinate where x = 0.

Here, when x is equal to 0, y is equal to 6 meaning that the y intercept is at (0,6)

Write the sentence as an equation

72 is the product of 277 and v

Answers

72 = 277v

the term “product of” just means that those two terms are being multiplied together!

What is the inverse of f(x)=3x^2

Answers

Answer:

f^-1 (x)=sqrt(x/3), -sqrt(x/3).

Step-by-step explanation:

f(x)=3x^2

y=3x^2

x=3y^2

y^2=x/3

y=sqrt(x/3), -sqrt(x/3).

Answer:

\(y=3x^2\)

\(y=3x^2\)

Step-by-step explanation:

There is no step-by-step explanation because it's a graph. Well, it's how I did it. Therefore, the graph in the picture that I'm about to post will be your answer.

What is the inverse of f(x)=3x^2

Based on the data shown below, calculate the regression line (each value to two decimal places)
y = ______________ x + _______________
x у
5 26.25
6 22.3
7 22.75
8 22
9 22.35
10 19.8
11 17.75
12 16.8
13 17.75
14 16.3
15 15.95
16 13.6

Answers

Answer is y = -1.01x + 38.19

The formula for calculating the regression line is:

y = a + bx

To find the regression line, we need to calculate two coefficients. They are a and b. where,

b = (NΣxy - ΣxΣy) / (NΣx2 - (Σx)2)and a = y - bx

Here, N = 14N = number of data sets

x = the independent variable

y = the dependent variable

Σ = summationx2 = square of x, i.e., x multiplied by itself

xy = x multiplied by y

Here, x and y have already been given. Thus, we need to calculate the remaining terms for determining the values of a and b.

The following table shows the steps for finding the values of a and b:-

x y x² xy5 26.25 25 131.256 22.3 36 133.87 22.75 49 176.175 22 25 1749 22.35 81 200.1510 19.8 100 19811 17.75 121 194.2512 16.8 144 201.613 17.75 169 299.75514 16.3 196 263.89515 15.95 225 359.2516 13.6 256 219.52Σx = 155 Σy = 255.95Σx² = 2870 Σxy = 4391.81

Now, we can calculate the value of b as:

b = (NΣxy - ΣxΣy) / (NΣx² - (Σx)²)b = (14 x 4391.81 - 155 x 255.95) / (14 x 2870 - 155²)b = -1.0146Next, we can calculate the value of a as:

a = y - bx

a = (Σy / N) - b (Σx / N)a = (255.95 / 14) - (-1.0146 x 155 / 14)a = 38.1921

Thus, the equation of the regression line is:

y = -1.01x + 38.19

The values are rounded off to two decimal places.

Answer:

y = -1.01x + 38.19

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what expression can represent six more than X

Answers

Answer:

6+x

Step-by-step explanation:

An expression is a set of operations without an equal sign. This question is asking which operation is being performed. The question states that there should be six more than x, this means 6 is being added to x. So, addition should be used to make the expression.

\(\sf x-6=17\)

Answers

Answer:

\(x=23\)

Step-by-step explanation:

\(x-6=17\)

\(x-6+6=17+6\) ( Add 6 to both sides)

\(x=23\)

Now we have to,

→ find the required value of x.

Given equation,

→ x - 6 = 17

Let's solve the equation,

→ x - 6 = 17

→ x = 17 + 6

→ [ x = 23 ]

Hence, the value of x is 23.

QUESTION 2 Two cards are drawn at random from a standard deck of 52 cards, WITHOUT replacement. To three decimal places find the probability of the following: a) P(drawing a Jack) b) P(drawing a Seven given that a Jack has already been removed) c) P(drawing a Jack and then a Seven)

Answers

For a standard deck of 52 cards, the required probabilities are:

a) P(drawing a Jack) = 0.005

b) P(drawing a Seven given that a Jack has already been removed) =  0.078

c) P(drawing a Jack and then a Seven) = 0.006

For given question,

We have been given two cards are drawn at random from a standard deck of 52 cards, without replacement.

We need to find the required probabilities.

We know that the probabilities are used to determine the chances of an event.

Formula of the probability of an event A is:

P(A) = n(A)/n(S)

where,  n(A) is the number of favorable outcomes, n(S) is the total number of events in the sample space.

Here, n(S) = 52

(a) When two cards are drawn at random, we need to find the P(drawing a Jack)

In a standard deck of 52 cards, there are  4 jacks.

⇒ P(J) = 4/52

After removing a one Jack card there would be 51 cards in a deck.

So, the probability of drawing two Jack cards without replacement would be,

⇒ P(JJ) = 4/52 × 3/51

⇒ P(JJ) = 1/221

⇒ P(JJ) = 0.005

So, P(drawing a Jack) = 0.005

(b)  When two cards are drawn at random, we need to find the probability of drawing a Seven given that a Jack has already been removed.

There are 4 Seven in a standard deck of 52 cards.

Here, Jack has already been removed

So, n(S) = 51

⇒ P(drawing a Seven given that a Jack has already been removed) = 4/51

⇒ P(drawing a Seven given that a Jack has already been removed) = 0.078

(c)  When two cards are drawn at random, we need to find the probability that drawing a Jack and then a Seven.

P(drawing a Jack and then a Seven)

= P(drawing a Jack) × P(drawing a Seven given that a Jack has already been removed)

So, P(drawing a Jack and then a Seven) = 4/52 × 4/51

⇒ P(drawing a Jack and then a Seven) = 1/13 × 4/51

⇒ P(drawing a Jack and then a Seven) = 4/663

⇒ P(drawing a Jack and then a Seven) = 0.006

Therefore, for a standard deck of 52 cards, the required probabilities are:

a) P(drawing a Jack) = 0.005

b) P(drawing a Seven given that a Jack has already been removed) =  0.078

c) P(drawing a Jack and then a Seven) = 0.006

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Hector's goal is to run at least 135 miles. He is going to run at least 3 miles per day.

Answers

Answer:

what's the question here if ur asking how long It'll take it's 45

pls help me fast! i need help!

pls help me fast! i need help!

Answers

Answer:

heres the answer with work

pls help me fast! i need help!

Simplify and can you explain how to simplify

Simplify and can you explain how to simplify

Answers

Answer:

\(\frac{1625z^{10}}{x^5}\)

Step-by-step explanation:

\(\frac{13\cdot \:1\cdot \:x^{-5}}{5^{-3}z^{-10}}\)

\(\frac{13x^{-5}}{\frac{1}{125z^{10}}}\)

\(\frac{\frac{13}{x^5}}{\frac{1}{125z^{10}}}\\\)

\(=\frac{13\cdot \:125z^{10}}{x^5\cdot \:1}\)

refine: \(\frac{13\cdot \:125z^{10}}{x^5}\)

multiply the numbers: 12 x 125 =1625

\(=\frac{1625z^{10}}{x^5}\)

Answer:

multiply the numbers: 12 x 125 =1625

Step-by-step explanation:

what is the last digit of 3 with a power of 2011

Answers

So to find any last digit of 3^2011 divide 2011 by 4 which comes to have 3 as remainder. Hence the number in units place is same as digit in units place of number 3^3. Hence answer is 7.

the solution to the system is (6,2). select the equations that could be the other in the system.

the solution to the system is (6,2). select the equations that could be the other in the system.

Answers

To find which could be the second equation to the system of equations, we insert the x part of the solution (6), if we obtain 2 as result then that equation could be since it has the same solution as the system.

\(\begin{gathered} y=-\frac{1}{6}x+3 \\ y=-\frac{1}{6}(6)+3 \\ y=-1+3 \\ y=2 \\ \text{second equation} \\ y=4x-2 \\ y=4(6)-2 \\ y=24-2 \\ y=22 \end{gathered}\)

The possible equation to the system is the first since the solution (6,2) belong to the line

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