The question is not perfectly clear, but I assume you're asking something like this:
in a rectangle, the area is given by [tex]A=wl[/tex]
where A is the area, w is the width and l is the length.
So, if we know that the width is 7 and we let x be the length of the rectangle, we have
[tex]A=7x[/tex]
If you need to solve this for x, divide both sides by 7:
[tex]x=\dfrac{A}{7}[/tex]
The length of a rectangular computer screen can be determined by the equation x = A / 7.
To find the length of a rectangular computer screen given its area (A) and width (7 inches), you can use the formula for the area of a rectangle:
Area = Length × Width
Given:
Area = A square inches
Width = 7 inches
We need to find the length, denoted by x. By rearranging the area formula, we get:
x = Area / Width
Substitute the given values:
x = A / 7
Therefore, the length of the computer screen in inches can be found using the equation x = A / 7.
Does the data in the table represent a direct variation or an inverse variation? Write an equation to model the data in the table. x: 2 5 8 y: 2 0.8 0.5
Answer:
Step-by-step explanation:
x: 2 5 8
y: 2 0.8 0.5
Simply by looking at what happens to y as x increases, we can see that y decreases, and that we therefore have inverse variation.
The appropriate model is y = k/x.
If x = 5, y = 0.8, and so 0.8 = k/5
Solving for the constant of proportionality, we get 4 = k.
Then y = 4/x models this data.
The data in the table reflect an inverse variation, characteristic of the y-values decreasing as x-values increase. The constant of variation k is 4, yielding the model equation of the data as y = 4/x.
Explanation:The data in the table appears to represent an inverse variation rather than a direct one. This is because as the x-values are increasing, the y-values are decreasing. This is indicative of an inverse relationship between the two variables.
To model the inverse variation, recall the general form of the equation for inverse variation which is y = k/x, where k is the constant of variation. We derive the value of k by multiplying the corresponding x and y values. For instance, 2(2)=4.
Assuming the constant stays the same across the data, we can test the other pairs. Indeed, for x=5, y=0.8, we have 5*0.8=4 and for x=8, y=0.5, we also have 8*0.5=4.
Hence, k=4 and, therefore, the model equation for this data is y = 4/x.
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What is the perimeter of the trapezoid 30 POINTS
The top is 1 unit.
The bottom is 9 units.
Use the distance formula to find the length of the side.
Give the end points coordinates
(2,2) and (6,5)
Length = √((6-2)^2 +(5-2)^2) = 5 units.
The total perimeter is the top + the bottom + 2 sides.
Perimeter = 1 + 9 + 5 + 5 = 20 units.
The perimeter of a figure is the distance around the figure.
To find the perimeter of the trapezoid shown, we can simply add all the sides. Since there are no numbers we can count each block as 1 unit.
Let's identify our values:
Top of trapezoid = 1 unit
Bottom of trapezoid = 9 units
Left and right side of trapezoid = 10 units "added together"
Now, we can add these numbers up and we will get the perimeter of the figure.
1 + 9 + 10 = 20
Therefore, the perimeter of the trapezoid is 20 units.
MARKNING BRAINLEST ! :) * The table shows a linear function, find the values of A , B , & C. Show your work.
X Y
A 7
3 8
5 9
7 B
C 11
Answer:
A = 11, B = 25/3, C = -1
Step-by-step explanation:
A linear function has the form:
f(x) = ax + b
(1)
f(3) = 8a + b = 8
f(5) = 5a + b = 9
Using the last 2 equations we can solve for 'a' and 'b'.
8a + b = 8 | 5a + b = 9
We multiply the second one by -1:
8a + b = 8 | -5a -b = -9
And then we add them together:
3a = -1
a = [tex]\frac{-1}{3}[/tex]
We then solve for 'b':
5a + b = 9
5(-1/3) + b = 9
b = 9 + 5/3
b = 32/3 = [tex]11\frac{1}{3}[/tex].
We then use this to find A, B, C.
f(x) = (-1/3)x + 32/3
(2)
f(A) = -A/3 + 32/3 = 7
[tex]\frac{-A}{3} + \frac{32}{3} = 7\\A - 32 = -21\\A = 11[/tex]
(3)
f(7) = -7/3 + 32/3 = B
25/3 = B
(4)
f(C) = -C/3 + 32/3 = 11
[tex]\frac{-C}{3} + \frac{32}{3} = 11\\C - 32 = -33\\C = -1[/tex]
A soccer team has played 25 games and has won 60% of the games and has played. WHat is the minimum number of additional games the team must win in order to finish the season winning 80% of the games it has played?
(15 games) is the minimum number of games the team must have played
Answer:
5
Step-by-step explanation:
We are given that a soccer team has played = 25 games
The team won the games =60% of games that has played
We have to find the minimum number of additional games the team must win in order to finish the season winning 80% of the games it has played.
60% of the games=[tex]\frac{60}{100}\times 25=15[/tex]
A soccer team won games that has played =15
if the team won 80% of the games
Then,80% of 25= [tex] \frac{80}{100}\times 25=20[/tex] games
Number of games added to win 80% of the games =20-15=5
Hence, the minimum number of additional games that the team must win 80 % of the games it has played=5
8. What's one way to check the answer to 5 × 6 = 30? A. 30 × 6 = 5 B. 5 ÷ 6 = 30 C. 30 ÷ 6 = 5 D. 30 × 5 = 6
Answer:
C. 30 / 6 =5
hope this helps
Answer: Option C
Step-by-step explanation:
You know that when you multiply 5 and 6, the product is 30:
[tex]5*6=30[/tex]
Let's check all the options:
Option A shows us that [tex]30*6=5[/tex], this is not true, because:
[tex]30*6=180[/tex]
Option B shows us that [tex]5\div6=30[/tex], this is not true, because:
[tex]5\div6=0.833[/tex]
Option C shows us that [tex]30\div6=5[/tex], this is true.
Option D shows us that [tex]30*5=6[/tex], this is not true, because:
[tex]30*5=150[/tex]
Therefore, the option that shows one one way to check the answer to [tex]5*6=30[/tex] is the Option C.
Need Help Please!!!!!!!
ANSWER
$1,413.81
EXPLANATION
The compound interest formula is given by:
[tex]A=P(1+r\%)^t[/tex]
Where P=900 is the balance in the account, t=10 is the number of years and r=0.0462 is the rate.
We substitute the values in to the formula to get:
[tex]A=900(1+4.62\%)^{10} [/tex]
[tex]A=900(1.0462)^{10} [/tex]
This simplifies to:
[tex]A=1413.81[/tex]
Therefore $1413.81 will be in the account after 10 years.
Answer:
Correct choice is $1413.81.
Step-by-step explanation:
Initial amount P = $900
Rate of interest = r = 4.62% = 0.0462
Number of compounding periods per year n = 1 {Compounded annually}
Time = 10 years
Then balance that is future value after 10 years in the account is given by formula :
[tex]A=P\left(1+\frac{r}{n}\right)^{\left(n\right)\left(t\right)}[/tex]
[tex]A=900\left(1+\frac{0.0462}{1}\right)^{\left(1\right)\left(10\right)}[/tex]
[tex]A=900\left(1+0.0462\right)^{\left(10\right)}[/tex]
[tex]A=900\left(1.0462\right)^{\left(10\right)}[/tex]
[tex]A=900\left(1.57089499829\right)[/tex]
[tex]A=1413.80549846[/tex]
Hence correct choice is $1413.81.
im confused (pIcTuRe aTtAcHeD)
well, let's take a peek, "m" is drawn on the x-axis most likely and H(m) is drawn on the y-axis, making a straight line.
so at m = -5, namely 5 minutes before he was told to go home, the kite was 375 meters up.
then he was told to go home, when m = 0, and the kite was 300 meters up.
now, as far as the other numbers, m = 5, 5 minutes after he was told, the kite was 225 m up, then 10 minutes later, then 15 minutes later then 20 minutes later m = 20, the kite was at 0, namely on the ground, he already had rolled up all the kite string that he was coiling up, so he can pack it in his carriage bag and go home.
What is the value of x?
Answer:
x=19
Step-by-step explanation:
Answer:
I believe 38...
Step-by-step explanation:
On a blueprint, a rectangular room 14 feet by 12 feet has a semicircular sitting area attached with a diameter of 12 feet.
(a) What is the total area of the room and the sitting area? Show your work. (2 points)
Click or tap here to enter text.
(b) What is the perimeter of the room (including the sitting area)? Show your work. (2 points)
Answer:
a) [tex]A=224.55\ ft^2[/tex]
b) [tex]P = 58.85\ ft[/tex]
Step-by-step explanation:
a) The area of a rectangle is calculated as the product of its length by its width.
[tex]A = lw[/tex]
Then the area of the rectangular room is:
[tex]A = 14 * 12\\\\A = 168\ ft ^ 2[/tex]
The area of a semicircle is[tex]A = \frac{1}{2}\pi r ^ 2[/tex]
We know that the diameter is 12 feet, then the radius is:
[tex]r = \frac{12}{2} = 6\\\\r = 6\ ft[/tex]
[tex]A = \frac{1}{2}\pi(6) ^ 2\\\\A = 56. 55 ft ^ 2[/tex]
Finally, the total area is:
[tex]A=56. 55\ ft ^ 2+168\ ft ^ 2[/tex]
[tex]A=224.55\ ft^2[/tex]
b) The perimeter of a rectangle is:
[tex]P = 2l + 2w[/tex]
The perimeter of a semi-circle is:
[tex]P = 0.5 * 2\pi r[/tex]
In this case r = 6
Since the semi-circle is attached to one of the sides of the room and its diameter is 12 feet, you cannot add one of the sides of rectangle that measures 12 feet to the perimeter (Observe the figure attached, which is not drawn to scale).Then the perimeter is:
[tex]P = (12 + 2 * 14)+(0.5 * 2\pi (6))\\\\P = 58.85\ ft[/tex]
The “pay upfront” car rental company charges an insurance and gas fee of $33 and daily rental fee of $8 per day. The “drive now pay later” car rental company charges an insurance and gas fee of $18 and has a daily rental fee of $11 per day.
What’s the x variable represent
The variable x represents the total number of days in the total fees equation of “pay upfront” y = 33 + 8x, and “drive now pay later” Y = 18 + 11x.
What is the equation?In other terms, an equation is a mathematical statement stating that "this is equivalent to that." It appears to be a mathematical expression on the left, an equal sign in the center, and a mathematical expression on the right.
Given:
The “pay upfront” car rental company charges an insurance and gas fee of $33,
Daily rental fee = $8 per day,
The “drive now pay later” car rental company charges an insurance and gas fee of $18,
Daily rental fee = $11 per day,
Write the equation for the total fees by “pay upfront” as shown below,
y = 33 + 8x
Here, y is the total fees and x is the number of days,
Write the equation for the total fees by “drive now pay later” as shown below,
Y = 18 + 11x
Here, Y is the total fees and x is the number of days,
Thus, x represents the number of days.
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Final answer:
The variable x represents the number of days a car is rented at two different car rental companies. Calculations can be made to compare total costs based on this variable, determining which company offers the better deal for a given rental period.
Explanation:
Comparing Car Rental Company Costs
The question asks us to interpret the role of the variable x in the context of comparing costs between two different car rental companies, one with the option to pay upfront and the other with the option to drive now pay later. The "pay upfront" company charges a flat fee for insurance and gas at $33, with an additional daily rental fee of $8. On the other hand, the "drive now pay later" company has a lower initial fee for insurance and gas at $18, but a higher daily rental fee of $11. The variable x represents the number of days the car is rented.
To determine which option is more cost-effective, one can set up equations for each company's rental costs in terms of x (the number of days) and compare the total costs. For the "pay upfront" company, the cost equation is C = $33 + $8x. For the "drive now pay later" company, it is C = $18 + $11x. By analyzing these equations, one can determine the breakeven point or compare costs for a specific rental period.
Please I really need help with this
Answer:
x = 8
3rd choice
Step-by-step explanation:
8x - 18 + 5x + 4 = 90
13x - 14 = 90
13x = 104
x = 8
https://mathbitsnotebook.com/Geometry/Trigonometry/TGTrigSineCosine.html
Line n passes through the points (-3,-7.5) and (2,-5). Tahila determined that the equation of line n is y = 0.5x. Explain the error Tahila made while determining her equation. Be sure to include the correct equation in your explanation.
Answer:
She omitted the y- intercept
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept)
To calculate m use the slope formula
m = (y₂ - y₁ ) / (x₂ - x₁ )
with (x₁, y₁ ) = (- 3, - 7.5) and (x₂, y₂ ) = (2, - 5)
m = [tex]\frac{-5+7.5}{2+3}[/tex] = [tex]\frac{2.5}{5}[/tex] = 0.5, thus
y = 0.5x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (2, - 5), then
- 5 = 1 + c ⇒ c = - 5- 1 = - 6
y = 0.5x - 6 ← equation if line
A line has a slope of -4 and passes through the point (0,5). Write the equation of this line in standard form. Be sure to express the equation without fractions or decimals. (2 points, 1 for work, 1 for equation)
Answer:
Final answer in standard form of the line is [tex]4x+y=5[/tex].
Step-by-step explanation:
Given that slope of the lime m = -4
Now we need to find the equation of a line that has a slope of -4 and passes through the point (0,5). Write the equation of this line in standard form.
So plug the given slope m=-4 and the point (0,5) into point slope formula:
[tex]y-y_1=m\left(x-x_1\right)[/tex]
[tex]y-5=-4\left(x-0\right)[/tex]
[tex]y-5=-4\left(x\right)[/tex]
[tex]y-5=-4x[/tex]
[tex]y=-4x+5[/tex]
[tex]4x+y=5[/tex]
Hence final answer in standard form of the line is [tex]4x+y=5[/tex].
Answer:
The equation of this line in standard form is
[tex]4x + y = 5[/tex]
Step-by-step explanation:
To find the equation of a line we need to know two points by which the line passes. You can also find the equation if you know a point through which the line passes and its slope.
For the equation of the line:
[tex]y = mx + b[/tex]
m is the slope and b is the section.
Sane that
[tex]m = -4[/tex]
To find b we substitute the point (0,5) in the equation and solve for b[tex](5) = -4 (0) + b[/tex]
[tex]b = 5[/tex]
The equation is
[tex]y = -4x +5.[/tex]
We rewrite the equation as:
4x + y = 5
If the movie starts at 6:05 and ends at 9:17 how long is it
Answer:
3h and 12min = 3.2hStep-by-step explanation:
From 6:05 to 7:00 there are 55 minutes.
From 7:00 to 9:00 there are two hours.
From 9:00 to 9:17 there are 17 minutes.
Therefore we have
2h + 55min + 17min = 2h + 72min = 2h + 60min + 12min = 2h + 1h + 12min
= 3h + 12min = 3h + 12/60h = 3h + 1/5h = 3h + 0.2h = 3.2h
1h = 60min → 1min = 1/60h
What is the constant of proportionality In the equation y=2x
Answer:
2
Step-by-step explanation:
The constant of proportionality In the equation y=2x is 2. For every unit by which x increases, y increases twice as much.
The constant of proportionality In the equation y=2x is 2.
Given that,
The equation is y = 2x.Based on the above information, the information is as follows:
In the case when each and every unit is increased by which x increased so here the y should be increased twice as much.Learn more: brainly.com/question/17429689
4 divided by one half
Answer:
The Answer is 2
Step-by-step explanation:
The reason why it is 2 is because just say that If a pie is cut into 4 pieces, then two pieces represent the same amount of pie that 1/2 did. We say that 1/2 is equivalent to 2/4. Fractions are determined to be equivalent by multiplying the numerator and denominator of one fraction by the same number.
The value of expression 4 divided by one half would be; 8
Known that 'a' is divided by 'b', then the result we get from the division is the part of 'a' that each one of 'b' items will get. Since Fractions are determined to be equivalent by multiplying the numerator and denominator of one fraction by the same number.
We need to find the expression of 4 divided by one half.
A negative divided by a negative is positive;
4 / 1/2
4 x 2 = 8
Therefore, The value of expression 4 divided by one half would be; 8
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a triangular prism has an equilateral base with each side of the triangle measuring 8.4 centimeters The height of the prism is 10.2 centimeters Which triangular prism is similar to the described prism
The triangular prism with a side of 16.8 cm and a height of 20.4 cm will be similar to the triangular prism with a side of 8.4 cm and a height of 10.2 cm.
What are Similar figures?Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".
As we know for similar figures, the ratio of their corresponding sides is in ratio, therefore, if multiply the dimension of the given prism by 2, we will get the similar triangular prism that we need.
[tex]\text{Side of the triangle} = 8.4\rm\ cm \times 2 = 16.8\ cm[/tex]
[tex]\text{Height of the prism} = 10.2\rm\ cm \times 2 = 20.4\ cm[/tex]
Thus, the triangular prism with a side of 16.8 cm and a height of 20.4 cm will be similar to the triangular prism with a side of 8.4 cm and a height of 10.2 cm.
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A radio tower is centered at (6,-16) on a coordinate grid where each unit represents 1 mile the radio signals range is 80 miles write a standard equation that describes the position and range of the tower
Answer:
[tex](x-6)^{2}+(y+16)^{2}=6,400[/tex]
Step-by-step explanation:
we know that
The equation of a circle in standard form is equal to
[tex](x-h)^{2}+(y-k)^{2}=r^{2}[/tex]
In this problem we have
The center of the radio tower (position) is the point [tex](6,-16)[/tex]
The radius of the radio tower (range) is [tex]r=80\ miles[/tex]
substitute
[tex](x-6)^{2}+(y+16)^{2}=80^{2}[/tex]
[tex](x-6)^{2}+(y+16)^{2}=6,400[/tex]
The standard equation for the radio tower's signal range is (x - 6)² + (y + 16)² = 6400, representing a circle with a center at (6, -16) and a radius of 80 miles.
The student is asking for the equation of a circle that represents a radio tower's signal range on a coordinate grid. Since the radio tower is centered at (6, -16) and has a range of 80 miles, the equation of the circle can be written using the standard form of a circle's equation, which is (x - h)² + (y - k)² = r², where (h, k) is the center of the circle and r is the radius. Substituting the given values, the equation becomes (x - 6)² + (y + 16)² = 80².
Help with # 4 show work pls
You forgot to DISTRIBUTE THE NEGATIVE, giving you this: -8 + 11x = -x - 8; 0⃣ = x.
Jim had 92 more marbles than Sam. After Sam gave Jim 18 marbles, Jim had twice as many marbles as Sam. How many marbles did Jim have at first?
Answer:
238
Step-by-step explanation:
let the number of marbles Sam has be x, then
Jim has x + 92 ← 92 more than Sam
After swap of 18 marbles
Sam has x - 18 and sam has x + 92 + 18 = x + 110
Jim now has twice as many as Sam, that is
x + 110 = 2(x - 18)
x + 110 = 2x - 36 ( subtract x from both sides )
110 = x - 36 ( add 36 to both sides )
146 = x
At first Jim had 146 + 92 = 238 marbles
Answer is 27.5
= 92+18
=110 divided by 2
=55
Haha this is wrong
find each angle measure in the regular polygon
Answer:
144°
Step-by-step explanation:
The sum of the interior angles of a polygon is
sum = 180° (n - 2) ← n is the number of sides
here n = 10, hence
sum = 180° × 8 = 1440°, thus
each angle measure = 1440° ÷ 10 = 144°
A race car was attempting to set a record the race car went 1000 feet in 4.5 seconds to the nearest Tenth what is the average speed of the race car
Answer:
222 ft/sec
Step-by-step explanation:
Essentially you're being asked to find the unit speed (that is, distance per sec).
1000 ft
------------ = 222 feet/sec is the approx. average speed / unit speed
4.5 sec
A cat is watching a bird in a tree nearby. The tree is approximately 20 ft from the cat (ground distance). If the cat’s line of sight makes a 25° with the ground when he has his eye on the bird, how high up is the bird in the tree?
A. Draw a picture
B. Solve the problem, Solve to the nearest ft.
Answer:
9.3 feet
Step-by-step explanation:
See attachment for the picture.
Let f represent how high up the bird is in the tree.
This side length of the right triangle is opposite the given angle which is 25 degrees.
The side length adjacent to the given angle is 20 ft.
We use the tangent ratio to obtain:
[tex]\tan 25\degree=\frac{opposite}{adjacent}[/tex]
We substitute the values to obtain:
[tex]\tan 25\degree=\frac{f}{20}[/tex]
[tex]f=20\tan 25\degree[/tex]
f=9.3 ft
Therefore the bird is 9.3 feet high up in the tree.
if the ratio of radius of two spheres is 4:7, the ratio of their volume is?
Answer:
64 : 343
Step-by-step explanation:
First use the radii to find the volume
1) Radius of first sphere is 4 (taken from 4:7 ratio)
Insert it into the equation for volume of a sphere: V=4 /3πr^3
V = (4/3)(π)(4^3)
V = (4/3)(π)(64)
V = 256/3 π
Volume of the first sphere = 256/3 π
2) Radius of the second sphere is 7 (also taken from 4:7 ratio)
Insert it into the equation for volume of a sphere: V=4 /3πr^3
V = (4/3)(π)(7^3)
V = (4/3)(π)(343)
V = 1372/3 π
Volume of the second sphere = 1372/3 π
Next, calculate the ratio by dividing the two numbers
256/3 π ÷ 1372/3 π
Answer should be 64 : 343
The simple way to do this problem is to just cube the numbers:
4:7 becomes 4^3 : 7^3 = 64 : 343
Either way works.
Solve the inequality represented by this situation: Six times a number
is greater than 2 less than 4 times the same number.
Answer:
n > -1Step-by-step explanation:
Six times a number is greater than 2 less than 4 times the same number.
n - the number
six times a number: 6n
is greater than: >
2 less than 4 times the same number: 4n - 2
6n > 4n - 2 subtract 4n from both sides
6n - 4n > 4n - 4n - 2
2n > -2 divide both sides by 2
2n : 2 > - 2 : 2
n > -1
The table represents the function f(x). If g(x) = -(x + 1)^2 - 10, which statement is true?
Answer:
Answer C is correct.
Step-by-step explanation:
f(x) clearly has a maximum: y = +10 at x = 0.
Analyzing g(x) = -(x + 1)^2 - 10, we see that the vertex is at (-1, -10), and that the graph opens down. Thus, -10 is the maximum value; it occurs at x = -1.
Answer A is false. Both functions have max values.
Answer B is false. One max is y = 10 and the other is y = -10.
Answer C is correct. The max value of f(x), which is 10, is greater than the max value of g(x), which is -10.
Answer D is false. See Answer B, above.
Staci is attending a music festival. The ticket to the festival costs $87.96. Staci plans to purchase $30.00 t-shirts from the event for her close friends. She is taking $200.00 to the festival. What is the maximum number of t-shirts Staci can purchase?
87.96+30x<200
Subtract 87.96 from both sides
30x= 112.04
X=3.73
She can buy 3 t shirts
Answer:
3 shirts
Step-by-step explanation:
1. Subtract the cost of tickets (87.96) from the total (200)
200-87.96 = 112.07
2. Divide 112.07 by the cost per shirt (30)
112.07 / 30 = 3.74
Since you cannot purchase part of a shirt - she can buy 3 shirts.
Anna needs 6 pints of milk to make yogurt. How many cups of milk does Anna need?
Answer:
Anna needs 12 cups.
Anna needs twice as many cups of milk as pints, so for 6 pints she needs 12 cups of milk.
The student is asking how many cups of milk are needed if Anna needs 6 pints to make yogurt. To answer this, we need to use the conversion that 1 pint is equal to 2 cups. Therefore, if Anna needs 6 pints of milk, we calculate the number of cups needed by multiplying 6 by 2.
Step-by-step conversion
Understand the conversion ratio: 1 pint = 2 cups.
Multiply the number of pints Anna needs by the conversion ratio: 6 pints × 2 cups/pint.
Calculate the total number of cups: 12 cups of milk.
So, Anna will need 12 cups of milk to make her yogurt.
At a college, 7 out of 10 students work either a full-time or a part-time job in addition to their studies. If 4900 students were involved at college, how many students do not have a full-time or part-time job
Answer:
1470 students do not have a full-time or part-time job
Step-by-step explanation:
We have a relationship between students who have a part-time job and those who do not. The ratio is 7 out of 10 students.
Then we use this relationship as a conversion factor.
If of 10 students, 7 of them have a job, then of 4900 students, how many of them have a job?
[tex]4900 * \frac{7}{10}=3430[/tex] students
Finally, those who do not have a job are:
[tex]4900- 3430 = 1470[/tex]
In the diagram below, tan theta = sqrt3. What is the value of m?
Answer:
[tex]m=\frac{\sqrt{3}}{2}[/tex]
Step-by-step explanation:
we know that
The tangent of angle theta is equal to divide the opposite side angle theta by the adjacent side angle theta
[tex]tan(\theta)=\frac{m}{(1/2)}=2m[/tex]
[tex]tan(\theta)=\sqrt{3}[/tex]
so
[tex]2m=\sqrt{3}[/tex]
[tex]m=\frac{\sqrt{3}}{2}[/tex]