Solve for x in this triangle. Round your answer to the nearest tenth. 13 35⁰ X​

Solve For X In This Triangle. Round Your Answer To The Nearest Tenth. 13 35 X

Answers

Answer 1

Answer:

x ≈ 10.6

Step-by-step explanation:

using the cosine ratio in the right triangle

cos35°= [tex]\frac{adjacent}{hypotenuse}[/tex] = [tex]\frac{x}{13}[/tex] ( multiply both sides by 13 )

13 × cos35° = x , then

x ≈ 10.6 ( to the nearest tenth )


Related Questions

Based on these data, how many students received a score higher than 95?

A. At least 15

B. More than 25

C. 6 or fewer

D. Exactly 10

Answers

Bar charts display categorical variables, whereas histograms display numerical or quantitative data.

What is mean by histogram?

The frequency distribution of a few data points for one variable is represented graphically by a histogram. Heterogeneous "bins" or "range groups" are frequently used in histograms in order to categorize data and count the number of data points that are part of each bin.

Among graphing tools, the histogram is widely used. It is utilized to encapsulate discrete or continuous data that is measured on an interval scale. It is frequently employed as a convenient way to highlight the key characteristics of the data distribution.

Histograms show numerical or quantitative data, whereas bar charts show categorical factors. The numerical data in a histogram will typically be continuous in most cases (having infinite values). It would be ridiculous to attempt to plot an axis that included every potential value for a continuous variable.

Therefore, the correct answer is option C. 6 or fewer.

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May someone please help me

Answers

The positive value of the distance between the two objects

is  [tex]r = + \sqrt\frac{GM_1M_2}{F_g}[/tex]

What is a quadratic equaton?

A quadratic equation is an algebraic expression in the form of variables and constants.

A quadratic equation has two roots as its degree is two.

Considering the equation for determining the gravitational pull between two items [tex]F_g = \frac{GM_1M_2}{r^2}[/tex], where r is the distance between the objects M is the individual masses and G is the gravitational constant.

The answer to the r in the problem has two values. Since distance cannot be negative, there can only be one positive value, hence we want the positive value.

[tex]F_g = \frac{GM_1M_2}{r^2}[/tex]

[tex]r^2 = \frac{GM_1M_2}{F_g}[/tex].

[tex]r = \pm\sqrt\frac{GM_1M_2}{F_g}[/tex]

[tex]r = +\sqrt\frac{GM_1M_2}{F_g}[/tex].

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50 Points!
Which linear equation shows a proportional relationship?

Answers

Answer: y=3/ 4x

Step-by-step explanation: in the linear equations y= Kx shows the proportionality relations . Where k is the proportionality constant which can be any number . x an y are the variables, so according to this answer will be y=3/

Answer:

y=3/4x

Step-by-step explanation:

Let's first define some words;

Proportional: If a line or a ray through the origin it proportional

Non proportional: If a line or ray that does not pass through the origin

Origin: Initial point or the starting point

Now we have define the words now let's graph these points by using Desmos.

Graphs are shown below.    

Base on the graphs below we can see that;

y=3/4x pass through the origin which means the that this linear equation is proportional.

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Select the correct answer. what is the equation of a parabola whose vertex is (0, 5) and whose directrix is x = 2?
a. y2 = 8(x − 5)
b. 8(y − 5) = x2
c. (y − 5)2 = 8x
d. (y − 5)2 = -8x

Answers

Check the picture below, so the parabola looks more or less like so, with a vertex at (0 , 5) and a "p" distance of negative 2 units, since it's opening to the left, so

[tex]\textit{horizontal parabola vertex form with focus point distance} \\\\ 4p(x- h)=(y- k)^2 \qquad \begin{cases} \stackrel{vertex}{(h,k)}\qquad \stackrel{focus~point}{(h+p,k)}\qquad \stackrel{directrix}{x=h-p}\\\\ p=\textit{distance from vertex to }\\ \qquad \textit{ focus or directrix}\\\\ \stackrel{p~is~negative}{op ens~\supset}\qquad \stackrel{p~is~positive}{op ens~\subset} \end{cases} \\\\[-0.35em] ~\dotfill[/tex]

[tex]\begin{cases} h=0\\ k=5\\ p=-2 \end{cases}\implies 4(-2)(~~x-0~~) = (~~y-5~~)^2\implies {\Large \begin{array}{llll} -8x=(y-5)^2 \end{array}}[/tex]

solve for x, Give your answer as a fraction or decimal rounded to the nearest hundredth.

Answers

Using the fact that the triangles are similar, we will see that:

x = 5.626

How to find the value of x?

On the image we can see two triangles, such that one is inscribed on the other.

Just because of that, it is obvious that the two triangles are similar.

And because the triangles are similar, the quotients between correspondent sides must be equal, that allows us to write the equation:

3/x = 8/15

The quotient is "left side over the bottom side"

We can solve that equation for x:

3/x = 8/15

3 = (8/15)*x

(15/8)*3 = x

45/8 = x

5.625 = x

That is the value of x.

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What is the degree of the polynomial 7x 3 4x² *?

Answers

The degree of polynomial 7x³ + 4x² is 3 as the highest power is 3.

What is degree of polynomial?

One of the fundamental ideas in mathematics is the degree of polynomials, which determines the maximum number of solutions a function can have and how frequently a function will cross the x-axis on a graph.

Polynomials are also useful in understanding how functions can be represented mathematically. It has the highest exponential power in the polynomial equation.

The greatest power of a variable in a polynomial equation is its degree. When calculating the degree of a polynomial function, only terms with variables are considered. The degree of the polynomial can be determined by looking at the variable term with the highest exponential power.

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what is m for y = 7x - 17

Answers

On solving the provided question, we can say that - the linear equation y = 7x - 17 at x= 0; y = -17 and m = -17

What is a linear equation?

The algebraic equation y=mx+b is known as a linear equation. B is the y-intercept, and m is the slope. The previous sentence, where y and x are variables, is commonly referred to as a "linear equation in two variables." Bivariate linear equations are those that contain two variables in them. The linear equations 2x - 3 = 0, 2y = 8, m + 1 = 0, x/2 = 3, x + y = 2, and 3x - y + z = 3 are examples. When an equation has the formula y=mx+b, with m denoting the slope and b the y-intercept, it is referred to as being linear.

y = 7x - 17

at x= 0

y = -17

and m = -17

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In a particular​ country, the average adult is spending even more time on a mobile device than watching television. From 2014 to ​2021, the function y=-9.11x+280x can be used to estimate the average number of minutes per day that an adult spends watching​ television, and the function y=12.34x + 169.9 can be used to estimate the average number of minutes per day that an adult spends on a mobile device. For both​ functions, x is the number of years after 2014. a. Based on this​ information, determine the year in which the time spent watching television is the same as the time spent on a mobile device. b. Use these functions to predict how much time the average adult spends per day watching television and on a mobile device for the year 2021..

Answers

After 0.6412 years the average for mobile device and television usage will coincide.

What are functions?

Function, in mathematics, is an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

Given here the equations as  y=-9.11x+280x and  y=12.34x + 169.9 the period for which the averages are equal will be given by

9.11x+280x=12.34x + 169.9

       x   = 0.6412 years

Again, after 7 years in 2021 the respective averages will be                  9.11 ×7+280×7 = 2023.77 and similarly for mobile device the time spent would be 256.28 minutes

Hence, the answers are After 0.6412 years the average for mobile device and television usage will coincide.

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The perimeter of a square is given as 24x + 20. Write two diffrerent expressions to represent the perimeter. Use factoring to write one of the expressions

Answers

The perimeter of a square is given as 24x + 20 and can be written as 4 ×(5x+6) and  2 × (10x+12).

The perimeter of a square is the sum of all of the 4 sides of the square. Here, the perimeter of the square is given as the function of x, for finding the length of each side of the square.

Here, in the given problem,  we can factorize the expression 20x+24 as, 4 ×(5x+6) so this is the 1st different way of writing the given expression. For another expression, we can take 2 commons from 20 x+24 that will be 2 × (10x+12).

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In ΔXYZ, x = 5. 2 inches, y = 9. 8 inches and z=7. 1 inches. Find the measure of ∠Z to the nearest degree

Answers

The measure of ∠Z is 165 degrees to the nearest degree.

In a triangle, the measure of each angle is equal to the sum of the measures of the other two angles subtracted from 180 degrees. This is known as the Triangle Sum Theorem.

Given that x = 5.2 inches, y = 9.8 inches, and z = 7.1 inches in triangle XYZ, we can use the theorem to find the measure of angle Z.

∠Z = 180 - (x+y)

∠Z = 180 - (5.2+9.8)

∠Z = 180 - 15

∠Z = 165

So the measure of ∠Z is 165 degrees to the nearest degree.

Therefore, The measure of ∠Z is 165 degrees to the nearest degree.

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How do you know if ordered pairs are a linear equation?

Answers

The ordered pairs are a linear equation if the graph plotted is the straight line.

A linear equation can be represented by a graph in the Cartesian coordinate system as a straight line. If the equation is in the form of "y = mx + b" where m and b are constants, it is a linear equation. The ordered pairs of a linear equation will always satisfy this equation, and when plotted on a graph, will fall on a straight line. To check if a set of ordered pairs is a linear equation, you can plot them on a graph and see if they form a straight line or can substitute the x- and y-values of the ordered pairs into the equation "y = mx + b" and see if they make the equation true.

So, if the graph plotted is the straight line, then the ordered pairs are of a linear equation.

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What is the x-coordinate of the solution to the system shown?

3x - y = 6
3x + y = 34

Answers

The x-coordinate of the solution of the system of equations is x = 20/3

What is the x-coordinate of the solution?

Here we have a system of equations below:

3x - y = 6

3x + y = 34

And we want to find the x-cordinate of the solution, so we need to solve this for x.

We can use the elimination method, you can see that if we add both equations we will get:

(3x - y) + (3x + y) = 6 + 34

6x = 40

x = 40/6

We can simplify that fraction to get:

x = 20/3

That is the x-coordinate of the solution.

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The average age of a group of fans at a hockey game is 34 years with a standard deviation of 8 years. What percent of fans are between 18 and 27 years old?

Answers

The percent of fans that are between 18 and 27 years old is 16.80%.

How to calculate the percentage of fans?

From the information, the average age of a group of fans at a hockey game is 34 years with a standard deviation of 8 years and we want to calculate the percent of fans are between 18 and 27 years old.

It should be noted that this will be Illustrated through the normal curve.

The probability will be:

P(18 ≤ X ≤ 27)

= P(18 - 34/8) ≤ Z ≤ (27 - 34 / 8

= P(-2.0 ≤ Z ≤ -0.875)

= 0.1908 - 0.02275 (From the standard normal calculator)

= 16.80%

The percentage is 16.80%.

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Could you help me solve this

Answers

Answer: The middle number is 15

Step-by-step explanation:

45/3= 15 so the three numbers will be around there.

14+15+16= 45

A child pushes a toy car with a force of 5. 25 N a distance of 6. 5 m. The car rolls for a total distance of 32 m. How much work is done on the toy car? Need formula and the way the work is done, ASAP

Answers

The work done on the toy car is 164.4 J.

The formula for work is:

Work = force * distance

In this case, given that:

Force = 5.2 N

Distance = 32 m

So, the work is:

Work = force * distance

Work = 5.2 * 32

Work = 166.4 J

Hence, the work done is 164.4 J.

What is work vs force?

Force is described as the rate of change of momentum with respect to time, in which momentum is mass multiplied by velocity. Work is the product of displacement and the component of force in the direction of displacement. When work is done, then the kinetic energy of an object changes.

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Ritu had 6 time a number of tamp and Raj took twice the number from Ritu o that he ha a total of 24. Write the algebraic equation and find the root of the equation

Answers

The equation to find the root of the statement given in the question is , 12x = 2x - 24.

Let the number of tamp which Ritu have be x

Then the number of tamp which Raj have be 2x = 24

Now as Ritu has 6 times more than Raj , 6( 2x) = 24 x 6

Therefore, the required equation becomes,

12x = 2x - 24

=> 10x = 24

=> x = 2.4 answer.

An equation is a mathematical statement which is made up of constants , variables and operators. There are two parts of an equation which are equated using the equal sign . The right hand and the left hand side of the equation.

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At what point does the graph of the linear equation 2x 3y =- 15?

Answers

The graph of the linear equation 2x - 3y = -15 is a line that passes through the point (-5, 5), and has a slope of 2/3.

The linear equation

2x - 3y = -15

can be written in the form

y = mx + b,

where m is the slope and b is the y-intercept. To find the slope of this equation, we can rearrange the equation to be in the form y = mx + b, which gives us

y = (2/3)x - 5.

This means that the slope of the line is 2/3. To find the y-intercept, we can plug in 0 for x and solve for y. This gives us

y = -5.

Therefore, the graph of this equation is a line that passes through the point (-5, 5) and has a slope of 2/3.

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Given that there are 3 feet or 36 inches in 1 yard, which of the following amounts is greater than 6 feet? Select all that apply. Video A) 2 yards, 3 inches B) 5 feet, 8 inches C) 96 inches D) 3 yards, 2 feet E) 1 yard, 2 feet

Answers

Answer: its D

Step-by-step explanation: 3 yard is bigger then 6 feet because 3 yards equals 9 feet hope this helps

Multiply.
Your answer should be a monomial in standard form.
{(4z^3)(-3z^3)}=(4z
3
)(−3z
3
)

Answers

The required simplified expression as a monomial is given as -12[z⁶].

What is a polynomial function?

A polynomial function is a function that applies only integer dominions or only positive integer powers of a value in an equation such as the monomial, binomial and trinomial, etc. ax+b is a polynomial.

here,

Given an expression, the outcome of the multiplicative depression will be an expression of a monomial.
= [4z³][-3z³]
= 4 × 3 [-z ³⁺³]
= -12[z⁶]

Thus, the required simplified expression as a monomial is given as -12[z⁶].

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Here are the first 4 terms of a sequence.
85 81 77 73
a) (i) Write down the next term in the sequence.
(ii) Explain how you got your answer.
b) Work out the 10th term of the sequence.

Answers

Answer:

a) (i) Next term = 69a) (ii) Subtract 4 from each term to get the next term. For example, 85-4 = 81 and 81-4 = 77, and so on.b) The 10th term is 49 The work for part (b) is shown in the next section below.

==================================

a1 = 85 = first term

d = -4 = common difference

an = a1 + d(n-1)

an = 85 - 4(n-1)

an = 85 - 4n + 4

an = -4n+89

a10 = -4*10+89

a10 = 49 is the tenth term

Sue ate one sweetie one day, and each day afterward she ate one sweetie more than she did the day before. How many sweeties did she eat during her first week?

Answers

Answer:

28

Step-by-step explanation:

1 + 2 + 3 + 4 + 5 + 6 + 7

Simplify by using order of operations:

4+(9 x 2) divided by (4 - 1) -4

Answers

The answer is 6
4+(9x2)/(4-1)-4
4+18/3-4
4+6-4
10-4

Limx→0 e^x -e^5/ x-5

Answers

Answer:e5

Step-by-step explanation:

Here you go

Refer to the attached image.

PLEASE HELP ME ASAP!!!!!!!!!

In a school, 10% of students have 7 ball pens, 30% of students have 3 ball pens, 40% of students have 2 ball pens and 20% of students have 1 ball pens. What is the expected number of ball pens of a student?

Answers

The expected number of ball pens of a student is 2.4.

What is the expected number?

In statistics and probability analysis, the expected value is calculated by multiplying each of the possible outcomes by the likelihood that each outcome will occur and then summing all of those values.

The expected number of ball pens of a student can be calculated by taking a weighted average of the number of ball pens that each group of students has.

The weight for each group is the percentage of students that are in that group.

So, we can calculate the expected number of ball pens of a student by:

(10% * 7) + (30% * 3) + (40% * 2) + (20% * 1)

0.7 + 0.9 + 0.8 + 0.2

The expected value is also known as the population means and it can be calculated by summing the product of each outcome’s probability and its corresponding value.

Here, the outcome is the number of ball pens.

Hence, the expected number of ball pens of a student is 2.4.

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What graph is best for comparing two variables?

Answers

A scatter plot is the best graph for comparing two variables.

A scatter plot is a graph that uses dots to represent individual observations of two variables. It is a powerful tool for comparing two variables because it allows us to see the relationship between the two variables and how they are distributed. It also helps to identify any patterns or trends in the data, such as a positive correlation, a negative correlation, or no correlation at all.

Additionally, scatter plots allow us to see outliers, which are data points that are far away from the majority of the data points. This makes it easy to identify any extreme values that may be skewing the data and affecting the overall pattern of the graph. Overall, scatter plots are useful for identifying patterns, trends, and outliers in data sets, making it the best choice for comparing two variables.

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What is the product 4y 3 )( 2y^2 3y 5?

Answers

The product for the given polynomial is [tex]8y^5 + 6y^4 + 20y^3.[/tex]

When multiplying two polynomials, it is important to keep track of the exponents of each term. The exponents will determine the degree of the resulting polynomial. To find the product, you multiply each term of the first polynomial by each term of the second polynomial, then combine like terms.

In this case, the first polynomial is 4y^3 and the second polynomial is 2y^2 3y 5. To find the product, you would multiply 4y^3 by 2y^2, 4y^3 by 3y, and 4y^3 by 5. This would give you 8y^5, 12y^4, and 20y^3. Since these are the only terms in the product, you simply add them together to get the final answer of [tex]8y^5 + 6y^4 + 20y^3.[/tex]

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Adella wants to have $10,000. 00 saved in 5 years. Her local bank offers an account at 4% APR

compounding monthly. How much would she need to deposit to reach her goal?

$8000. 33

$8191. 67

$8189. 67

$8219. 29

Answers

The deposit to be made to save $10,000 in 5 years is $8189.67 when compounded monthly.

What is compound interest?

Compound interest is interest on a loan or deposit that is calculated on both the principal amount and the interest accumulated in previous periods. It differs from simple interest, which is calculated on the principal only. Compound interest can be more favorable to the lender and more expensive to the borrower. The frequency of compounding (annual, quarterly, monthly, etc.) also affects the total amount of interest earned or paid.

Given that:

A = $10,000

r = 4% = 0.04

t = 5 years

n = 12 (since the compounding is monthly)

P = ?

The compound interest is given as follows:

[tex]A= P(1+\frac{r}{n} )^{nt}[/tex]

Substituting the values in the formula we have:

[tex]10000= P(1+\frac{0.04}{12} )^{(12)(5)}\\\\10000= P(1+0.0033 )^{(60)}\\\\10000= P(1.0033 )^{(60)}\\\\10000= P(1.2185)\\\\P= \frac{10000}{1.2185} \\\\P=8189.67[/tex]

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Mr. Wú needs to buy new carpet for his
office. The length of the office is 12 feet
and the width is 10 feet. If each square
foot of carpet costs $3, how much will it
cost Mr. Wú to buy carpet for his office? NEED HELP PLS!!!

Answers

Answer:

A - $360

Step-by-step explanation:

Length times width equals area.

12 × 10 = 120

His office has 120 sq ft of space. If each sq ft costs $3

120 × 3 = $360

A

Answer:

A ($360)

Step-by-step explanation:

imagine a rectangle with one side 12ft and one side 10ft

multiply the length and the width to find the square footage:

12*10=120ft^2

each square foot is $3 so multiply 3 by 120

$3*120ft^2= $360

oops didn't realize someone already answered sorry

John and Wesley both work for telephone companies installing internet connections into new homes, but they do not work for the same company. John's paycheck at the end of the month includes his base pay of $2,000 and his commission of $65. 25 for each installation he makes that month. Wesley is paid $380 plus a commission of $105. 75 for each installation he makes each month. In September of last year, they both made the same number of installations and they both earned the same amount of money

Answers

The number of installations in September were forty that lead to John and Wesley earning same amount of money.

Let the number of installations be x. The equation of be formed for each paycheck will be -

Total paycheck = base pay + number of installations × comission on each installation

The total paycheck and number of installations is same. So equating the equations by keeping x.

2000 + 65.25x = 380 + 105.75x

Rewriting the equation -

105.75x - 65.25x = 2000 - 380

Performing subtraction on each side of the equation

40.5x = 1620

x = 1620/40.5

Performing division on Right Hand Side of the equation

x = 40

There were 40 installations.

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If the probability of getting a reult in an experiment i 75. 3%, what i the probability of not getting that reult? Select the bet choice

Answers

The probability of not getting result is found as 24.7%.

Explain the probability of experiment?

The number of times an event happened during the experiment as a percentage of all the times the experiment was run is known as the experimental probability of that event occurring.

Theoretical Probability: the mathematically predicted outcomes of an experiment.Experimental Probability: the likelihood that the experiment will actually succeed.The mathematics of opportunity is known as probability (p). The probability of an event (E) occurring is shown through probability.Any occurrence can have its likelihood expressed as a number between 0 and 1, with 1 being the most likely outcome.The likelihood of an impossibility is zero. One represents the probability of an event. A probability between 0 and 1 can be attributed to any other events that fall in between these two extremes.

So,

P(Result) = 0.753.

P(no result) = 1 - 0.753

P(no result) = 0.247

Thus, the probability of not getting that result is found as 24.7%.

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The correct question is-

If the probability of getting a result in an experiment is 75. 3%, what i the probability of not getting that result?

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