Answer:x intercept (2,0)
Yintercept (0,-10)
Step-by-step explanation:
y=mx+b b= y intercept
To find x you just solve
Y=5x-10
10=5x
2=x
Miguel was selling apples, plums, and peaches at the local farmer’s marker. He sold 18 more
pounds of apples than pounds of plums. He sold 9 pounds less of peaches than pounds of
plums. He sold a total of 69 pounds of fruit. How many pounds of each fruit did he sell?
Answer:
He sold 32 pounds of apples, 14 pounds of plums and 23 pounds of peaches.
Step-by-step explanation:
Let:
x = Mass of Apples (pounds)
y = Mass of plums (pounds)
z = Mass of peaches (pounds)
He sold 18 more pounds of apple than pounds of plums: [tex]x = 18 + y[/tex]
He sold 9 less pounds of peaches than pounds of plums: [tex]z - 9 = y[/tex]
He sold a total of 69 pounds of fruit: [tex]x + y + z = 69[/tex]
We have 3 unknown variables, therefore a system of 3 linear simultaneous equations:
[tex]x = 18 + y[/tex] ——- (equation i)
[tex]z - 9 = y[/tex]
∴ [tex]z = 9 + y[/tex] ——— (equation ii)
[tex]x + y + z = 69[/tex] ——- (equation iii)
The above linear simultaneous equations can be solved by Substitution Method:
Substitute (equation i) and (equation ii) into (equation iii) to solve for y. Expand the parenthesis and bring all the like terms together. y has to be made the subject of the equation:
[tex](18 + y) + y + (y + 9) = 69[/tex]
= [tex]18 + y + y + y + 9 = 69[/tex]
= [tex]y + y + y = 69 - 18 - 9[/tex]
= [tex]3y = 42[/tex]
= [tex]y = \frac{42}{3}[/tex]
∴ y = Mass of plums = 14 pounds
Substitute the calculated value of y into the other two equations to solve for x and for z:
[tex]x = 18 + (14)[/tex]
∴ x = Mass of apples = 32 pounds
[tex]z = 9 + (14)[/tex]
∴z = Mass of peaches = 23 pounds
PLEASE PLEASE PLEASE HELP DONT IGNORE
Answer: the first box is does not the 2st box does i hope this helps
Step-by-step explanation:
Answer:
Step-by-step explanation:
(-2, 3) (2, -1)
(-1 - 3)/(2 + 2)= -4/4 = -1
m = -1
does
does not
y - 3 = -1(x + 2)
y - 3 = -x - 2
y = -x + 1
Option 1
These two triangles are congruent.
b
B
6 cm
1049
12 cm
9 cm
A
47°
'R
29°
29°
12 cm
с
P
a)
What is the size of angle Q?
Since the triangles are congruent. Then The size of angle Q is 47°
Congruent Angle:
Congruent angles are often used in architecture, construction, design, and art. Isometrics have the same angular measurements. For example, a regular pentagon has 5 sides and 5 angles, each measuring 108 degrees. Regardless of the size or scale of a regular polygon, the angles are always congruent.
Here is a list of rules for the congruence of angles.
1. The only condition for two angles to be congruent is if the measurements of the angles agree.
2. The lengths and orientations of the two sides of this congruent angle are not important.
According to the Question:
It is given that :
B = 6 cm, 12 cm and 9 cm
A = 47°
R' = 29°
If the triangle is congruent, then all the three sides and angles will be same.
Therefore,
Angle Q = Angle A
Therefore, Angle Q = 47°
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Carole is paid a monthly salary of $2011.10. Her regular workweek is 35 hours.
(a) What is Carole's hourly rate of pay?
(b) What is Carole's gross pay for May if she worked 73/4 hours overtime during
the month at time-and-a-half regular pay?
Help me with this question….
The number that is most likely an irrational number is given as follows:
D. 4.279458105...
What are rational and irrational numbers?Rational numbers are numbers that can be represented by fractions, such as numbers that have no decimal parts, or numbers in which the decimal parts are terminating or repeating.
Irrational numbers are numbers that cannot be represented by fractions, being non-terminating and non-repeating decimals, such as non-exact square roots.
For this problem, the option D gives the irrational number, as it is the lone non-repeating decimal. For the others, we have that:
Option A: 26 is the repeating decimal part.Option B: 3 is the repeating decimal part.Option C: due to the large number of zeros, the number is the exact decimal 2.8.More can be learned about rational and irrational numbers at brainly.com/question/5186493
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Which of the following is equivalent to the radical expression below, when the
denominator has been rationalized and x > 5?
10/
√x-√x-5
OA. 2(√x + √x - 5)
B. 2(√x + √x + 5)
Oc. 2(√x - √x+5)
OD. 2(√x - √x - 5)
Answer:
option (A).
Step-by-step explanation:
The equivalent expression to the given radical expression, when the denominator has been rationalized and x > 5, is 2(√x + √x - 5), or option (A).
Solve the right triangle ABC, where C = 90°. Give angles in degrees and minutes. a = 18.7 cm, c = 46.4 cm
b= ? cm (Round to nearest tenth as needed) A= ?°?'(Round to nearest minute as needed) B=?°?'(Round to nearest minute as needed)
Answer:
To solve a right triangle, we can use the Pythagorean theorem, which states that the sum of the squares of the two smaller sides equals the square of the largest side. In this triangle, we have:
a^2 + b^2 = c^2
Plugging in the values we have:
18.7^2 + b^2 = 46.4^2
Solving for b, we have:
b = √(46.4^2 - 18.7^2)
b = √(2159.36 - 349.69)
b = √1809.67
b = 42.6 cm (rounded to the nearest tenth)
Next, we can use the tangent function to find angles A and B:
tan(A) = a/b = 18.7/42.6 = 0.439
A = tan^-1(0.439) = 24° 26' (rounded to the nearest minute)
And, using the Pythagorean theorem:
c^2 = a^2 + b^2 = 18.7^2 + 42.6^2 = 346.69 + 1809.67
B = 90° - A = 90° - 24° 26' = 65° 34' (rounded to the nearest minute)
So the solution is:
a = 18.7 cm
b = 42.6 cm
c = 46.4 cm
A = 24° 26'
B = 65° 34'
C = 90°
Step-by-step explanation:
BUDGET
Income
Expenses
Rent
Groceries
Utilities
Total Expenses
Net income
Instruction
Class Activity 1
January February March
$2200
$1200
$125
$69.51
$2200
$1225
$110.1
$82.71
$2200
$1225
$79.16
$73.04
1) Bold and center align the column headings and "merge and center" the title.
2) Format all numbers with "$" to 2 decimal places.
3) Calculate totals for each type of expense and for each month. Also, calculate a grand total for all 3 months of
expenses.
4) Calculate net income for each month (total income minus total expenses).
Class Activity (Contd.)
5) Add another column to calculate the percentage of total expenses for each category by
dividing each category's total by the grand total.
6) Create two different unique charts. Each chart must represent different information on the
table.
7) Each chart must be on a different Excel page and each page tab must be labelled
according to the chart.
Here are the steps to complete the budget, as described in the instructions:
Bold and center align the column headings:Highlight the column headings (Income, Expenses, Rent, Groceries, Utilities, Total Expenses, Net Income)Right-click and select "Format Cells"In the "Font" tab, select "Bold" and "Center" alignClick "OK"How to merge and center the title:Type the title "BUDGET" in cell A1Highlight cells A1 to G1Right-click and select "Merge and Center"The title will now be centered across the entire rowFormat all numbers with "$" to 2 decimal places:Highlight the cells containing numbersRight-click and select "Format Cells"In the "Number" tab, select "Currency" and set decimal places to 2Click "OK"Calculate totals for each type of expense and for each month:
To calculate the total expenses for each month, add up the amounts in the Rent, Groceries, and Utilities columnsFor example, in January the total expenses would be $125 + $69.51 + $82.71 = $277.22To calculate the grand total expenses for all 3 months, add up the total expenses for each monthFor example, the grand total expenses would be $277.22 + $110.10 + $73.04 = $460.36Calculate net income for each month:
To calculate the net income for each month, subtract the total expenses from the total incomeFor example, in January the net income would be $2200 - $277.22 = $1922.78Add another column to calculate the percentage of total expenses for each category:
Create a new column to the right of the Utilities columnLabel this new column "Percentage of Total Expenses"In the first cell of this column, divide the value in the Rent column by the grand total expenses and multiply by 100For example, in January the calculation would be =($125/$460.36)*100 = 27.11%Copy this formula down to the last row of dataCreate two different unique charts:
Go to the "Insert" tab and select the type of chart you want to create (e.g. bar chart, pie chart, line chart, etc.)Highlight the data you want to include in the chartClick the "Insert" button to create the chartRepeat the process to create a second chart on a different Excel pageLabel each page tab according to the chart:
Right-click on the first chart's page tab and select "Rename"Type in a descriptive label for the chart (e.g. "Expense Breakdown Chart")Repeat the process for the second chart page tab.Read more about budgets here:
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AIR 2021) Four functions are shown.
Which function is linear?
The option B is a linear function. The solution has been obtained by using the properties of a linear function.
What is a linear function?
A function is referred to as linear if it can be represented on a graph as a straight line. Typically, the highest degree of this polynomial function is 1 or 0. Despite the fact that linear functions can be expressed in both calculus and linear algebra.
We are given four functions.
It is clearly visible that option A is not a linear function because the degree of the function is 2.
Option B is a linear function because we obtain a straight line on the graph.
Also, option C is not a linear function because the degree of the function is greater than 1.
Similarly, option D is also not a linear function because it's graph is not a straight line.
Hence, option B is a linear function.
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which coordinate plane has the graph of y=2/5x—4
The required graph has been attached below which represents the given linear equation y = (2/5)x - 4.
What is a graph?A graph can be defined as a pictorial representation or a diagram that represents data or values.
To plot the graph of y = (2/5)x - 4, you can follow these steps:
Choose a range of values for x that you want to plot. For example, you can choose x values from -10 to 10.
Substitute the x values into the equation to find the corresponding y values. For example, if x = -10, then y = (2/5)(-10) - 4 = -8.
Plot the ordered pairs (x, y) on a coordinate plane. For example, if x = -10 and y = -8, plot the point (-10, -8) on the plane.
Repeat this process for several x values to plot additional points.
Connect the points with a straight line to obtain the graph of the equation y = (2/5)x - 4.
Note that the graph should be a straight line with a slope of 2/5 and a y-intercept of -4.
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The question seems incomplete, the correct question would be as:
How to plot the graph of y = (2/5)x — 4?
Company F sells fabrics known as fat quarters, which are rectangles of fabric created by cutting a yard of fabric into four pieces. Occasionally the manufacturing process results in a fabric defect. Let the random variable X represent the number of defects on a fat quarter created by Company F. The following table shows the probability distribution of X.
X 0 1 2 3 4 or more
Probability 0. 58 0. 23 0. 11 0. 05 0. 03
If a fat quarter has more than 2 defects, it cannot be sold and is discarded. Let the random variable Y represent the number of defects on a fat quarter that can be sold by Company F.
Determine the mean and standard deviation of Y. Show your work.
Company G also sells fat quarters. The mean and standard deviation of the number of defects on a fat quarter that can be sold by Company G are 0. 40 and 0. 66, respectively. The fat quarters sell for $5. 00 each, but are discounted by $1. 50 for each defect found.
(c) What are the mean and standard deviation of the selling price for the fat quarters sold by Company G?
Answer:
(a) To determine the mean and standard deviation of Y, we need to find the expected value and standard deviation of the number of defects that can be sold by Company F. Since the number of defects that can be sold is equal to X if X is less than or equal to 2, and equal to 2 if X is greater than 2, we can use the following formula to find the expected value of Y:
E(Y) = P(X = 0) × 0 + P(X = 1) × 1 + P(X = 2) × 2 + P(X > 2) × 2
E(Y) = 0.58 × 0 + 0.23 × 1 + 0.11 × 2 + 0.03 × 2
E(Y) = 0.23 + 0.22 + 0.03
E(Y) = 0.48
To find the standard deviation of Y, we can use the following formula:
Var(Y) = P(X = 0) × (0 - E(Y))^2 + P(X = 1) × (1 - E(Y))^2 + P(X = 2) × (2 - E(Y))^2 + P(X > 2) × (2 - E(Y))^2
Var(Y) = 0.58 × (0 - 0.48)^2 + 0.23 × (1 - 0.48)^2 + 0.11 × (2 - 0.48)^2 + 0.03 × (2 - 0.48)^2
Var(Y) = 0.58 × 0.2304 + 0.23 × 0.1024 + 0.11 × 0.0304 + 0.03 × 0.0304
Var(Y) = 0.1333
The standard deviation of Y is the square root of the variance:
StdDev(Y) = √Var(Y)
StdDev(Y) = √0.1333
StdDev(Y) = 0.3663
So, the mean and standard deviation of Y are 0.48 and 0.3663, respectively.
(c) To find the mean and standard deviation of the selling price for the fat quarters sold by Company G, we need to find the expected value and standard deviation of the price, taking into account the discount for each defect. We can use the following formula to find the expected value of the price:
E(Price) = $5.00 - $1.50 × E(Defects)
E(Price) = $5.00 - $1.50 × 0.40
E(Price) = $5.00 - $0.60
E(Price) = $4.40
To find the standard deviation of the price, we can use the following formula:
StdDev(Price) = $1.50 × StdDev(Defects)
StdDev(Price) = $1.50 × 0.66
StdDev(Price) = $0.99
So, the mean and standard deviation of the selling price for the fat quarters sold by Company G are $4.40 and $0.99, respectively.
You place one grain of rice on the first square of a chess board. You then put two on the second,
four on the third, eight on the fourth, and so on until you've reached the sixty-fourth square.
If Scrooge McDuck bought five-pound bags of enriched white rice from Walmart, could he afford
to buy all the rice needed for the previous paragraph?
Answer:
yes
Step-by-step explanation:
Astronomers believe that the radius of a variable star increases and decreases with the brightness of the star. Suppose a variable star has an average radius of 20 million miles and changes by a maximum of 1.6 million miles from this average during a single pulsation, and that the time between periods of maximum brightness is 5.2 days. Find an equation that describes the radius of this star as a function of time. (Let R be the radius in millions of miles and let t be the time in days. Assume that when t = 0 the radius is 20 million miles and increasing.) R(t) =
Let R be the radius in millions of miles and let t be the time in days. Assume that when t = 0 the radius is 20 million miles and increasing then R(t) = 20 + 1.6sin(2πt/5.2).
The equation for a sine wave is y = A sin (Bx + C) where A is the amplitude, B is the frequency and C is the phase shift.
In this case, the amplitude is 1.6.
Since the radius changes by a maximum of 1.6 million miles.
The frequency is 2π/5.2 (one full cycle of the sine wave in 5.2 days)
The phase shift is 0, since when t = 0 the radius is increasing.
The equation then becomes R(t) = 20 + 1.6sin(2πt/5.2)
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How to explain how you add fractions.
Example: Add 1/4 + 2/4
Solution: Let us add these fractions using the following steps.
Step 1: Check if the denominators are the same. (Here, the denominators are the same, so we move to the next step)
Step 2: Add the numerators and place the sum over the common denominator. This means (1 + 2)/4 = 3/4
Step 3: Simplify the fraction to its lowest form, if needed. Here, it is not needed. So, the sum of the given fractions is, 1/4 + 2/4 = 3/4
4x - 3 = 17
-2x - 7y = 11
Find the complex number given arg(z+1) =pi/6 and arg(z-1)=(2*pi)/3
Answer:
Therefore, z = 1 + i.
Step-by-step explanation:
Given that the argument of z + 1 is pi/6 and the argument of z - 1 is 2*pi/3, we can use the fact that the argument of a complex number is equal to the angle between the positive x-axis and the line connecting the origin to the complex number in the complex plane.
Let's call the complex number z = a + bi. Then, z + 1 = a + (b + 1), and z - 1 = a - (b - 1).
Using the argument values given, we have:
arg(z + 1) = pi/6, so the line connecting the origin to z + 1 makes an angle of pi/6 with the positive x-axis.
arg(z - 1) = 2pi/3, so the line connecting the origin to z - 1 makes an angle of 2pi/3 with the positive x-axis.
From the above information, we can sketch the complex plane and find the location of the complex number z. We then have two equations for a and b in terms of the argument of the complex numbers:
a = (z + 1 + z - 1)/2 = 1
b = (z + 1 - z - 1)/2 = 1
Therefore, z = 1 + i.
What is the product of 4 and 1 3/8?
Answer:5.5
Step-by-step explanation:
Find the value of x for the following
Answer:
x = -4°
Step-by-step explanation:
We know that,
→ Sum of angles of straight line is 180°.
Now we have to,
→ Find the required value of x.
Forming the equation,
→ (54°) + (7x + 154°) = 180°
Then the value of x will be,
→ 7x + 154° + 54° = 180°
→ 7x + 208° = 180°
→ 7x = 180° - 208°
→ 7x = -28°
→ x = -28° ÷ 7
→ [ x = -4° ]
Hence, the value of x is -4°.
Answer: I think x = -4
Step-by-step explanation: I used a calculator.
Find the values of p for which the equation (p+1)x² + 4px +9=0 has equal roots.
The values of p for which the equation (p+1)x² + 4px +9=0 has equal roots:
p = (36 ± 59.8)/32
What is an Equation ?An equation is a mathematical term, which indicates that the value of two algebraic expressions are equal. There are various parts of an equation which are, coefficients, variables, constants, terms, operators, expressions, and equal to sign.
For example, 3x+2y=0.
Types of equation
1. Linear Equation
2. Quadratic Equation
3. Cubic Equation
Given that,
The quadratic equation,
(p+1)x² + 4px +9=0
So, for equal roots, we have:
(4p)² - 4 x (p + 1) x 9 = 0
Solving for p, we get:
16p² - 36 p -36 = 0
This is a quadratic equation, and we can find the roots using the quadratic formula:
x = (-b ± √(b² - 4ac)) / (2a)
Where a = 16, b = -36, and c = -36.
Plugging in the values into the formula, we get:
p = (36 ± 59.8)/32
Thus, the values of p for which the equation (p + 1)x² + 4px + 9 = 0 have equal roots are (36 ± 59.8)/32.
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Solve for y
Y-18=b
Need help please.
Answer:
y = 18 + b
Step-by-step explanation:
Add 18 to both sides
y = 18 + b
what is 5x+3 Please HELP ME
Answer: I believe that the answer is 8x.
Step-by-step explanation:
My explanation is that since x equals a random value, we can still add 5 and 3 to get 8.
I hope this helps!
On a road trip to central Florida, you average 35 miles per hour while driving within city
borders and 60 miles per hour while driving on the highway (not in the city.) The trip was 995 miles long. You were in city borders for 4 hours longer than on the highway. Let C be the time, in hours, you spent driving in the city. Let H be the time, in hours, you spent driving on the highway. Find the sum C + H
The equation Distance = Speed × Time can be used to calculate the time spent in both city and highway. The sum of C + H = 28.43 hours + 16.58 hours = 45.01 hours.
What is distance?Distance is a numerical measurement of the distance between two objects in physical space. It is commonly measured in meters, kilometers, or miles. Angles, such as degrees of longitude and latitude, can also be used to calculate distance.
Distance may be estimated mathematically using methods such as the Pythagorean theorem. When studying the movement of things, such as in physics and engineering, and estimating the speed of objects in motion, distance is a significant component.
Since you know the total distance traveled and the average speed of the vehicle in both city and highway, you can use the equation
Distance = Speed × Time
to solve for the time spent in both city and highway.
For time spent in city:
35 mph × C = 995 miles
C = 995 miles/35 mph = 28.43 hours
For time spent in highway:
60 mph × H = 995 miles
H = 995 miles/60 mph = 16.58 hours
Therefore, the sum of C + H = 28.43 hours + 16.58 hours = 45.01 hours.
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4. [0/2 Points]. DETAILS
(b) g(g(3))
Use f(x) = 5x - 4 and g(x) = 2x2 to evaluate the expression.
(a) f(f(2))
how do i solve this?
Answer:
324
Step-by-step explanation:
To evaluate (a) f(f(2)), we first evaluate f(2) which is 52-4 = 6. Then, we evaluate f(6) which is 56-4 = 26. So, f(f(2)) = 26.
To evaluate (b) g(g(3)), we first evaluate g(3) which is 23^2 = 18. Then, we evaluate g(18) which is 218^2 = 324. So, g(g(3)) = 324
Examine the right triangle below. Let a = 15, b = 20, and c = 25. What is the
sin B=, rounded to the nearest hundredth?
The value of sin B rounded to the nearest hundredth is 0.80.
What are Trigonometric Functions?Trigonometric functions are defined as the real functions which are simply the functions of an angle of a triangle. They are basically the periodic functions which relate an angle in a right angled triangle to the ratios of the length of two sides.
The right triangle represented in the question is given below.
We know that sine of an angle in a right angled triangle is the ratio of it's opposite side to hypotenuse.
In the triangle ABC, AB is the hypotenuse and AC is the opposite side of B.
Sin B = AC / AB
Sin B = b / c
Sin B = 20 / 25
Sin B = 0.8
Hence the value of sine of B is 0.8.
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Please help!
Carolina has two bank accounts, a checking account and a savings account. She has a total of $180 in both accounts. She has $30 more in her savings account than she has in her checking account. How much does Carolina have in her savings account? How much does she have in her checking account?
Answer:
$105
Step-by-step explanation:
Let x be the amount of money Carolina has in her checking account. Then, her savings account has x + $30. The total amount of money in both accounts is $180, so we can write the equation:
x + (x + $30) = $180
Expanding the left-hand side:
2x + $30 = $180
Subtracting $30 from both sides:
2x = $150
Dividing both sides by 2:
x = $75
Therefore, Carolina has $75 in her checking account and $75 + $30 = $105 in her savings account.
Solve for x in the equation −6x+18=−6. Place the steps for solving this equations in order.
Answer:
x=4
Step-by-step explanation:
-6x = -6-18
-6x = -24
-6x/-6 = -24/-6
x =4
pls help!!
Which of the following is the inverse function of the image below?
help me with my geometric homework goving 25 points plsss
Using the proportions of the side lengths of the pair of similar triangles, we have:
1. x = 35
2. x = 20; y = 23.3
3. x = 11
4. x = 9
5. x = 10
What are the Sides of Similar Triangles?Triangles that are similar to each other, will have side lengths that are proportional to each other.
Therefore, using proportions, we would have:
1. x/14 = 40/16
Cross multiply:
16x = 40 * 14
16x = 560
x = 560/16
x = 35
2. x/12 = 15/9
9x = 12 * 15
9x = 180
x = 20
y/14 = 15/9
9y = 210
y = 23.3
3. (x + 5)/24 = 36/54
Cross multiply:
54(x + 5) = 36 * 24
54x + 270 = 864
54x = 864 - 270
54x = 594
x = 11
4. 20/28 = 15/(2x + 3)
Cross multiply:
20(2x + 3) = 28 * 15
40x + 60 = 420
40x = 420 - 60
40x = 360
x = 9
5. 24/28 = x + 8 / 3x - 9
Cross multiply:
24(3x - 9) = 28(x + 8)
72x - 216 = 28x + 224
72x - 28x = 216 + 224
44x = 440
x = 10
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Para cercar un terreno rectangular de 24 m? se emplearon 20 m de malla de alambre, (cuánto mide el largo del terreno
we get two possible solutions: L = 6 and W = 4. Therefore, the length of the land could be 6 meters.
If the rectangular plot has length L and width W, then we know that 2L + 2W = 20 since 20 meters of wire mesh were used. We also know that L × W = 24 since the area of the plot is 24 square meters. Solving these two equations simultaneously, We have the equations:
2L + 2W = 20
L × W = 24
From the first equation, we can solve for L in terms of W:
2L = 20 - 2W
L = 10 - W
Substituting this into the second equation, we get:
(10 - W) × W = 24
Expanding the brackets, we get: 10W - W² = 24
Rearranging and setting equal to zero, we get: W² - 10W + 24 = 0
We can solve this quadratic equation by factoring: (W - 6) × (W - 4) = 0
So the possible solutions for W are: W = 6 or W = 4
If W = 6, then L = 10 - W = 4, so the rectangular plot has dimensions 4 meters by 6 meters. If W = 4, then L = 10 - W = 6, so the rectangular plot has dimensions 6 meters by 4 meters. Therefore, the length of the land is 6 meters. because the length is assumed as the longer side of a shape or an object.
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Complete Question
To enclose a rectangular plot of 24 m², 20 m of wire mesh were used, what is the length of the land?
Solve for x. Round to the nearest tenth.
xº
54
12
The required measure of the angle x in the given right triangle is 12.38°.
What are trig ratios?If you know the lengths of two sides of a right triangle, you can use trigonometric ratios to calculate the measures of one (or both) of the acute angles.
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Since the question seems to be incomplete the complete question has been attached after the solution.
We have given a triangle where x° is the angle of the right triangle where the hypotenuse is 54 and one legs is 12. With the help of trig ratios
sin x = 12 / 54
x = sin⁻¹(12/54)
x = 12.38°
Thus, the required measure of the angle x in the given right triangle is 12.38°.
Learn more about trig ratios here:
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