Answer:
a) 75/3=25/1
Step-by-step explanation:
From the following categories of variables, which of them are mutually exclusive and exhaustive?
a. Days: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday
b. Days: Weekday and Weekend
c. Letters: Vowels and Consonants
d. Letters: Alphabets and Consonants
The given categories of variables that are mutually exclusive and exhaustive are weekdays and weekend and vowels and consonants.
Mutually exclusive and exhaustive variables: A variable is mutually exclusive and exhaustive if it includes all possible outcomes and each outcome can only be assigned to one variable category.a. Days: Monday, Tuesday, Wednesday, Thursday, Friday, Saturday, and Sunday - Mutually exclusive and exhaustiveb. Days: Weekday and Weekend - Mutually exclusive and exhaustive c. Letters: Vowels and Consonants - Mutually exclusive and exhaustive. Letters: Alphabets and Consonants - Not mutually exclusive and exhaustiveThe given categories of variables that are mutually exclusive and exhaustive are weekdays and weekend and vowels and consonants. Hence, the options a and c are correct.
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PLEASE HELP
The regular price on a pair of jeans is $54.
The store advertises a back-to-school sale at 40% off the regular price of the jeans.
Two weeks later, the store advertises a sale at an additional off the sale price of
these jeans.
5
Two friends decide to purchase the jeans. Shannon says that the jeans are now 60%
off the regular price. Mary disagrees because she figures that the total discount is actually
less than 60%.
1. What is the cost of the jeans at the back-to-school sale?
2. What is the cost of the jeans dufing the additional " off sale? Justify your reasoning.
3. Shannon says, Calculating 86/9P isthe same as calculating A0% of, then 20% off of the new price:
Mary Disagrees and says, "Calculating 40% off, then 20% off is NOT the same as calculating 60% off."
Who do you agree with and why? Defend your argument with mathematical reasoning.
We can conclude that -
The cost of the jeans at the back-to-school sale is $32.4.The cost of the jeans dufing the additional " off sale is $30.78.The conclusion made by Manny is correct.What are algebraic expressions?In mathematics, an expression or mathematical expression is a finite combination of symbols that is well-formed according to rules that depend on the context.
Given is that the regular price on a pair of jeans is $54. The store advertises a back-to-school sale at 40% off the regular price of the jeans. Two weeks later, the store advertises a sale at an additional off the sale price of these jeans at 5%.
Original price -
$54
Cost after 40% discount -
54 - {40% of 54}
54 - {40/100 x 54}
54 - {2/5 x 54}
54 - 21.6
$32.4
Cost after 5% discount -
32.4 - {5% of 32.4}
32.4 - {5/100 x 32.4}
32.4 - 1.62
$30.78
{ 3 } -
Calculating 60% of new price -
60% of 30.78
(60/100) x 30.78
18.5
Calculating 40% of new price -
40% of 30.78
(40/100) x 30.78
12.4
So, 60% of new price is greater than calculating 40%.
So, Manny is correct.
Therefore, we can conclude that -
The cost of the jeans at the back-to-school sale is $32.4.The cost of the jeans dufing the additional " off sale is $30.78.The conclusion made by Manny is correct.To solve more questions on functions & expressions, visit the link below
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Your answer will be gladly appreciated!I will mark the brainiest!
Find the value of each variable
Answer:
x=70 y=110 z=30
Step-by-step explanation:
Can someone help me with my summer school geometry work ?
Answer:
second one
Step-by-step explanation:
which of the following are measures of position? multiple select question. a. the quartiles
b. the deciles c. the median d. the standard deviation
The measures of position among the options provided are the quartiles, deciles, and median.
The standard deviation is not a measure of position but rather a measure of dispersion.
Measures of position are statistical indicators that provide information about the relative location or position of data points within a dataset. Among the options provided, the measures of position are:
a. The quartiles:
Quartiles divide a dataset into four equal parts.
The first quartile (Q1) represents the 25th percentile, the second quartile (Q2) corresponds to the median or 50th percentile, and the third quartile (Q3) represents the 75th percentile.
They help understand the spread and distribution of the data.
b. The deciles:
Deciles divide a dataset into ten equal parts.
Each decile represents a specific percentile, such as the first decile (D1) representing the 10th percentile, the second decile (D2) representing the 20th percentile, and so on.
Deciles provide more granularity in analyzing the position of data points within the dataset.
c. The median:
The median is the middle value of a dataset when arranged in ascending or descending order.
It divides the dataset into two equal halves, with 50% of the data falling below the median and 50% above.
The median provides a measure of central tendency and position within the dataset.
d. The standard deviation:
The standard deviation is not a measure of position.
It quantifies the dispersion or variability of data points from the mean.
It provides information about the spread of the data but does not indicate the specific position of data points within the dataset.
In summary, the measures of position among the options provided are the quartiles, deciles, and median.
The standard deviation is not a measure of position but rather a measure of dispersion.
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A map of a city
Uses a scale of 1 cm equals 3.5 meters. If the road shown on the map runs for 25 cm how long is Road?
The required length of the road is given as 87.5 meters.
Given that,
A map of a city uses a scale of 1cm =3.5 meters. A road shown on the maps runs for 25cm how long is the road is to be determined.
We know that,
The process in mathematics to operate and interpret the function to make the function or expression simple or more understandable is called simplifying and the process is called simplification.
Here,
1 cm = 3.5 meters,
For a road of 25 cm on the map,
Length of the road = 25 × 3.5
Length of the road = 87.5 meters
Thus, the required length of the road is given as 87.5 meters.
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The table below lists the 2010 population data for the world’s 10 most populous countries.
Answer:
Hi,
You haven't included the data chart or what you need to solve.
Then only I will be able to help you!
Step-by-step explanation:
easy one for you folks. show work. giving brainly.
who had to shovel more area of the driveway?
Answer:
Ahmed shoevked more than sheldon
(a) find the magnitude of an earthquake that has an intensity that is 39.25 (that is, the amplitude of the seismograph reading is 39.25 cm). (round your answer to one decimal place.) 5.59 correct: your answer is correct. (b) an earthquake was measured to have a magnitude of 4.4 on the richter scale. find the intensity of the earthquake. (round your answer to one decimal place.) 0.4 incorrect: your answer is incorrect.
a) The magnitude of an earthquake that has an intensity that is 39.25 is 5.6 unit.
b) The magnitude of earthquake that has intensity of 4.4 is 4.64 units.
Magnitude:
Magnitude is a measure of the amount of energy released in an earthquake. It is often described using the Richter scale. To calculate the magnitude, measure the amplitude of the waves on the seismometer and correct for the distance between the recorder and the epicenter of the earthquake.
The magnitude of an Earthquake can be calculated by the following formula -
M = log ( I / S )
Where ,
M = magnitude
I = Intensity
S = standard earthquake intensity i.e. 10 ⁻⁴
Hence ,
To calculate the magnitude of the earthquake of intensity = 32.75 ,
The above formula is used as -
M = log ( I / S )
M = log ( 39.25/ 10 ⁻⁴ )
M = log ( 39.25 × 10⁴ )
M = log ( 3925000 )
M = 5.59 ≈5.6
Hence , the value of magnitude is 5.6.
b) To calculate the magnitude of the earthquake of intensity = 32.75 ,
The above formula is used as -
M = log ( I / S )
M = log ( 4.4/ 10 ⁻⁴ )
M = log ( 4.4 × 10⁴ )
M = log ( 44000 )
M = 4.64
Hence , the value of magnitude is 4.64.
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For each value of x, determine whether it is a solution to 24<4x .
Answer:
No, Yes, No, Yes
Step-by-step explanation:
1. 24
if a ray QT bisects <RQS, what will be the measure of one of the resulting angles?
mZTQS=
Answer:
m<TQS=23
Step-by-step explanation:
(3x-5)+(x+1)
4x-4=180
+ +
4x=184
--- ----
4 4
x= 46
46/2
=23
If a ray QT bisects <RQS, then \(m<TQS=23.5\) °
Given :
a ray QT bisects <RQS
<PQR and <RQS is a linear pair . It makes and angle 180 degree
\(m<PQR+m<RQS=180\)
From the diagram,
m<PQR=3x-5, and m<RQS=x+1
Substitute the expression and solve for x
\(m<PQR+m<RQS=180\\3x-5+x+1=180\\4x-4=180\\4x=180+4\\4x=184\\Divide \; by \; 4\\x=46\)
now , \(m<RQS = x+1 =46+1=47\)
Given QT bisects <RQS. it means QT divides RQS equally
\(m<TQS= \frac{m<RQS}{2} \\m<TQS= \frac{47}{2} \\\\m<TQS=23.5\)
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What is the solution of the system?
2x+3y=−26
5x+3y=−29
Answer:
x = -1
y = -8
Step-by-step explanation:
2x+3y= −26
5x+3y= −29
Time the first equation by -1
-2x - 3y = 26
5x + 3y = -29
3x = -3
x = -1
Now put -1 in for x and solve for y
2(-1) + 3y = - 26
-2 + 3y = -26
3y = -24
y = -8
Let's check
2(-1) + 3(-8) = -26
-2 - 24 = -26
-26 = -26
So, x = -1 and y = -8 is the correct answer.
\(2x + 3y = - 26 \\ \implies \: 2x + 3y + 26 = 0\)
\(5x + 3y = - 29 \\ \implies \: 5x + 3y + 29 = 0\)
For finding what sort of solution the pair of equations give , we need to check the type of equality between
\( \frac{ a_{1}}{ a_{2} \: } , \: \frac{ b_{1} }{ b_{2} } , \: \frac{ c_{1}}{ c_{2} } \\ \)
The following results can be obtained ,
\(if \: \: \frac{ a_{1} }{a _{2} } \neq \: \frac{ b_{1}}{ b_{2}} \\ \\ \implies \: we \: obtain \: a \: unique \: solution\)
\(if \: \: \frac{ a_{1} }{a _{2} } = \: \frac{ b_{1}}{ b_{2}} \: \neq \: \frac{ c_{1}}{ c_{2}} \\ \\ \implies \:we \: obtain \: no \: solution\)
\(if \: \: \frac{ a_{1} }{a _{2} } = \: \frac{ b_{1}}{ b_{2}} \: = \: \frac{ c_{1}}{ c_{2}} \\ \\ \implies \:we \: obtain \: infinitely \: many \: \: solutions\)
Considering the equations provided ,
\( a_{1} = 2 \: \: , \: \: b_{1} = 3 \: \: , \: \: c_{1} = 26 \\ a_{2} = 5 \: \: , \: \: b_{2} = 3 \: \: , \: \: c_{2} = 29\)
\(\therefore \frac{ a_{1}}{ a_{2} } = \frac{2}{5} \: \: \: , \: \: \: \frac{ b_{1}}{ b_{2} } = \frac{3}{3} = \frac{1}{1} \: \: \: , \: \: \: \frac{ c_{1} }{ c_{2} } = \frac{26}{29} \\ \)
Since ,
\( \frac{ a_{1} }{ a_{2}} \neq \: \frac{ b_{1} }{ b_{2}} \\ \)
The system of equations has a unique solution .
On further calculations done by elimination method , the solution of the equations comes out to be
\(\boxed{x = - 1} \\ \boxed{y = - 8}\)
let's have a look at how it'll be done now.
the equations given in the question are -
\(2x + 3y + 26 = 0 \: ...(1) \\ 5x + 3y + 29 = 0...(2) \\ \\ multiplying \: equation \: (1) \: by \: - 1 \\ \implies \: - 2x - 3 - 26 = 0...(3) \\ \\ solving \: eqs. \: (2) \: and \: (3) \\ \\ 5x + \cancel{3y} + 29 = 0 \\ \underline{ - 2x \cancel{- 3y} - 26 = 0} \\ 3x + 3 = 0 \\ \\ \implies \: 3x = - 3 \\ \implies \: \boxed{x = - 1} \)
substiting the value of x in equation 1
\(2( - 1) + 3y + 26 = 0 \\ 3y + 26 - 2 = 0 \\ 3y + 24 = 0 \\ 3y = - 24 \\ \implies \: \boxed{y = - 8}\)
hope helpful! :)
stephanie has a recipe that calls for 2/3 tablespoons of vanilla to make 3 1/2 dozen cookies how many tablespoons of vanilla are needed per dozen cookies
Answer:
4 / 21 spoonful of vanilla
Step-by-step explanation:
3 1/2 dozens = 42 cookies
Let x = spoonful of vanilla for 1 dozen of cookies
2/3 : 42 cookies
x : 12 cookies
2/3 ÷ 42 = x ÷ 12
2/3 × 1/42 = x / 12
2 / 126 = x / 12
Cross product
2*12 = 126*x
24 = 126x
Divide both sides by 126
x = 24 / 126
= 4 / 21
x = 4 / 21 spoonful of vanilla
Per dozen of cookies requires 4/21 spoonful of vanilla
Check:
4/21 per dozen × 3 1/2 dozens
4/21 × 7/2
28 / 42
2/3 spoonful for 3 1/2 dozens
The total amount of dozen cookies = \(3\dfrac{1}{2}\)
Stephanie requires \(\dfrac{2}{3} \ tablespoons\) to make \(\mathsf{3\dfrac{1}{2}\ dozen \ cookies}\)
Let assume that:
(x) represents the amount of the tablespoons Stephaine needs to prepare 1 dozen cookies:Then; we can equate both equations together as follows:
\(\dfrac{2}{3} \ tablespoons\) = \(\mathsf{3\dfrac{1}{2}\ dozen \ cookies}\)
x tablespoon = 1 dozen cookies
By cross multiply and making (x) the subject of the formula, we have:
\(\mathbf{x \times 3\dfrac{1}{2} dozen \ cookies = \dfrac{2}{3} \ tablespoons \times 1 \ dozen \ cookies}\)
\(\mathbf{x =\dfrac{ \dfrac{2}{3} \ tablespoons \times 1 \ dozen \ cookies}{3\dfrac{1}{2} dozen \ cookies}}\)
\(\mathbf{x =\dfrac{ \dfrac{2}{3} \ tablespoons}{3\dfrac{1}{2} }}\)
\(\mathbf{x =\dfrac{ \dfrac{2}{3} \ tablespoons}{\dfrac{7}{2} }}\)
\(\mathbf{x = \dfrac{2}{3} \ tablespoons} \div {\dfrac{7}{2} }\)
\(\mathbf{x = \dfrac{2}{3} \ tablespoons} \times {\dfrac{2}{7} }\)
\(\mathbf{x = \dfrac{4}{21} \ tablespoons}}\)
Therefore, the amount of tablespoons Stephaine will need to prepare a dozen cookies is: \(\mathbf{ = \dfrac{4}{21} \ tablespoons}}\)
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hey quyzz. Can someone pls help.
Ive been working on this equation for some and i am not sure wheter the answer is 27/340 or 11/170. pls give full workings. will give brainly.
\((2 \frac{3}{3} \div 4 - \frac{3}{10} ) \times \frac{3}{17} \)
Step-by-step explanation:
\(( \frac{2 \frac{3}{3} }{4} - \frac{3}{10} ) \times \frac{3}{17} \\ = ( \frac{ \frac{9}{3} }{4} - \frac{3}{10}) \times \frac{3}{17} \\ = ( \frac{9}{3 \times 4} - \frac{3}{10}) \times \frac{3}{17} \\ = ( \frac{9}{12} - \frac{3}{10} ) \times \frac{3}{17} \\ = ( \frac{9 \times 5}{12 \times 5} - \frac{3 \times 6}{10 \times 6} ) \times \frac{3}{17} \\ = ( \frac{45 - 18}{60} ) \times \frac{3}{17} \\ = \frac{27}{60} \times \frac{3}{17} \\ = \frac{81}{1020} \\ = \frac{27}{340} \)
\(\circ \: \: { \underline{ \boxed{ \sf{ \color{green}{Happy\:learning.}}}}}∘\)
If triangle is rotated 90° clockwise about the origin what will be thr new coordinates of vertex B?
(-1,-4)
(1,4)
(4,1)
(4,-1)
Answer:
The answer to your question is going to be c
If twenty-eight is subtracted from the product of a number and five the result is twenty-two. What is the value of the number?
pls help
Answer:
10
Step-by-step explanation:
Answer:
the value of the number is 10.
Explanation:
Let the number be x,
given 28 subtracted from the product ( 5 * x ) and equals to 22
solve:
5x - 28 = 22
5x = 22 + 28
5x = 50
x = 10
What is the volume of this shape?
How does the 2 in the hundredths place compare to the 2 in the thousandths place?
Answer:
2 in the hundredths place is greater
Step-by-step explanation:
2 in the hundredths place is 10 times the thousands place
A medicine works 3 out of 4 times to alleviate allergy symptoms in patients. In a trial, 2 patients are chosen at random. Which simulation can be used to estimate the probability that the medicine will alleviate allergy symptoms in either or both patients?
Answer:
i have the same quetion i really need help
Step-by-step explanation:
Answer:
Choose a marble from a group of 3 red marbles and 1 blue marble. Replace the marble and repeat.
The mean mass of five men is 76 kg. The masses of four of the men are 72 kg, 74 kg, 75 kg and 81 kg. What is the mass of the fifth man
Answer:
78kg
Step-by-step explanation:
76×5= 380kg
380-72-74-75-81= 78kg
You estimate that your school is about 45 ft tall. Your school is actually 52 ft tall. Find the percent error.
Answer:
13.4%
Step-by-step explanation:
(52-45)/52
7/52
13.4%
Answer: 13%
Step-by-step explanation: 52 - 45 = 7 | 7/52 = .13 | 13%
Sketch the D indicated and integrate f(x, y) over D using polar coordinates. f(x, y) = 2xy; x ge 0, y ge 0, x2 +y2 le 25 Answer:
From the polar coordinates, the integrate value of f(x,y), f( x,y) = 2xy ; x,y ≥ 0, x² + y² = 25 over D using polar coordinates is equals to the \( \frac{625}{4}\). The sketch of D is in attached figure.
The equation of a circumference in rectangular coordinates and origin as centre is x² +y² =R² , where R is the radius of the circumference. In polar coordinates, x² + y² = ρ, ρ is the polar radius. We have function f( x,y) = 2xy ; x,y ≥ 0, x² + y² = 25. It is an equation of a circle with radius 5 centered at the origin, however, since x and y must both be greater than or equal to 0, the region D is restricted to the portion of the circle in the first quadrant. So, the sketch of D is present in attached figure.
Now, we convert the cylindrical coordinates, r will span from 0 to 5 and θ will span from 0 to π/2. The integrand, f(x,y) = 2xy then f(r, θ) = 2(r sin(θ))(r cos(θ)) = 2r²sin(θ)cos(θ) = r²sin(2θ) and the double integral is \(\int_{0}^{\frac{π}{2}}\int_{0}^{5} r³sin(2θ)drdθ\)
\(= \int_{0}^{\frac{π}{2}}[\frac{ r⁴}{4}sin(2θ)]_{0}^{5}dθ\)
\(= \int_{0}^{\frac{π}{2}}[\frac{5⁴}{4}sin(2θ)]dθ\)
\(= \frac{5⁴}{4}[\frac{ -cos(2θ)}{2}]_{0}^{\frac{π}{2}}\)
\(= -\frac{5⁴}{8}[ cos(π) - cos(0°)]\)
\(= - \frac{5⁴}{8}[ -1 - 1 ]\)
\(= \frac{625}{4}\)
Hence, required value is \( \frac{625}{4}\).
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Determine the opposite of 3p^7-8p
Step-by-step explanation:
Maybe you should flip flop
Priya asked each of five friends to attempt to throw a ball in a trash can until they succeeded. She recorded the number of unsuccessful attempts made by each friend as: 1, 8, 6, 2, 4. Priya made a mistake: The 8 in the data set should have been 18. How would changing the 8 to 18 affect the mean and median of the data set
Answer: The mean will increase and the median would not change
Step-by-step explanation:
Recorded data by Priya :
Data: 1,8,6,2,4
Mean of data = (1+8+6+2+4)/5
=21/5 = 4.2
Median of data = 1,2,4,6,8
Median = 4
Correct data: 1,18,6,2,4
Mean of data = (1+18+6+2+4)/5
=31/5 = 6.2
Median of data = 1,2,4,6,18
Median = 4
Therefore ; according to the evaluation above, the median will remain unchanged, but the mean increased from 4.20 to 6.20.
AB=10,BC=6. What is AC
Answer:
16
Step-by-step explanation:
adding any two sides of a triangle is allways greater than the third side.
RESEARCH STUDY 8.1: Dr. Guidry conducts a study examining the relationship between the number of friends one has and the experience of daily stress and life satisfaction. She randomly samples 1,500 elderly men and women in Nashville, Tennessee (the state capital), located in the southern United States. Below are her findings.• Life satisfaction and experience of daily stress: r = −.57 (p = .01)• Number of friends one has and experience of daily stress: r = .09, not sig.• Number of friends one has and life satisfaction: r = .36 (p = .04) Comparing all three correlations, Dr. Guidry will be most able to accurately predict life satisfaction from the experience of daily stress because the relationship:
has the largest effect size.
Given the above condition, the result may translate to "Sample size and effect size."
What is Effect Size in Research?
Increasing the sample size always increases the likelihood of finding a statistically significant impact, regardless of how tiny the effect is in the actual world. In contrast, effect sizes are not affected by sample size. To compute effect sizes, just the data is utilized.
In contrast to significance tests, the effect size is not affected by sample size. Statistical significance, on the other hand, is determined by both the sample size and the effect size.
The greater the impact size, the greater the difference between the typical person in each group. A d of 0.2 or less is regarded a minor impact size, a d of roughly 0.5 is considered a medium effect size, and a d of 0.8 or above is considered a high effect size.
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Aventis is a major manufacturer of the flu (influenza) vaccine in the U.S. Aventis manufactures the vaccine before the flu season at a cost of $10 per dose (a "dose" is vaccine for one person). During the flu season Aventis sells doses to distributors and to health-care providers for $25. However, sometimes the flu season is mild and not all doses are sold — if a dose is not sold during the season then it is worthless and must be thrown out. Aventis anticipates demand for next flu season to follow a normal distrbituion with a mean of 60 million units and a standard deviation of 15 million units.
Which one of the following is NOT CORRECT?
Multiple Choice
Critical ratio is 0.6.
Cost of underage is $15.
Cost of overage is $10.
Stock-out probability is 5%.
The incorrect option is the value of the critical ratio which is given as 0.6.**
The critical ratio is the ratio of the expected cost of underage to the expected cost of overage. In this case, the expected cost of underage is $15 million and the expected cost of overage is $10 million, so the critical ratio is 1.5.
Cost of underage is $15. This is the cost of not having enough vaccines to meet demand.Cost of overage is $10. This is the cost of manufacturing more vaccines than are needed.Stock-out probability is 5%. This is the probability that Aventis will not have enough vaccines to meet demand.The critical ratio is the ratio of the expected cost of underage to the expected cost of overage. In this case, the expected cost of underage is $15 million and the expected cost of overage is $10 million, so the critical ratio is 1.5.
This means that Aventis is willing to accept a 5% chance of a stock-out (i.e., not having enough vaccines to meet demand) in order to avoid a 15% increase in the cost of manufacturing vaccines.
A critical ratio of 0.6 would mean that Aventis is willing to accept a 60% chance of a stock-out in order to avoid a 15% increase in the cost of manufacturing vaccines. This is a much higher risk than Aventis is likely to be willing to accept.
Hence, the incorrect option is critical ratio is 0.6
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solve for x.28+19x=-8+15x
28+19x=-8+15x
Move the variable terms ( the one with "x" ) to the left side of the equation.
19x-15x = -8-28
4 x = -36
Divide both sides by 4:
4x/4 = -36/4
x= -9
Evaluate each expression for x =2 and Y = 5
Answer:
3: 14
4: 2/25
Step-by-step explanation:
Determine the value of x. images attached.
Answer:
The answer is option AStep-by-step explanation:
Since it's a right angled triangle we can use trigonometric ratios to find the value of x
To find the value of x we can use either sine or cosine
Using sine we have\( \sin(30) = \frac{5}{x} \\ x \sin(30) = 5 \\ x = \frac{5}{ \sin(30) } \\ x = \frac{5}{0.5} \\ \\ \\ \boxed{x = 10}\)
Using cosine we have\( \cos(60) = \frac{5}{x} \\ x \cos(60) = 5 \\ x = \frac{5}{ \cos(60) } \\ x = \frac{5}{0.5} \\ \\ \\ \boxed{x = 10}\)
Hope this helps you