Answers
1 right angle and 2 acute angles with the same measure
1 obtuse angle and 2 acute angles with the same measure:
1) Since the mentioned triangle has two congruent sides of 4cm, this is an Isosceles triangle:
2) So, a triangle has a sum of interior angles equal to 180º. An Isosceles triangle has two congruent angles. Examining the options, we can state the possible true answers are:
-1 right angle (90º) and 2 acute angles (45º and 45º) with the same measure
- 1 obtuse angle (> 90º) and 2 acute angles with the same measure:
(100º+40º+40º)
3) Hence, these are the answers:
1 right angle and 2 acute angles with the same measure
- 1 obtuse angle and 2 acute angles with the same measure:
Related Questions
A survey of 100 high school students provided this frequency table on how students get to school. What is the probability that a randomly selected student is a junior who takes the bus?
Answers
The probability of selecting a junior who takes the bus is P (Junior who takes the bus) = 12/200 = 0.06Hence, the probability that a randomly selected student is a junior who takes the bus is 0.06 or 6/100.
The given frequency table on how students get to school among the high school students is represented in the below table:Transportation Walk Bike BusDriveTotalGrade 9 11 10 14 15 50Grade 10 10 7 13 20 50Grade 11 8 6 12 24 50Grade 12 5 8 8 29 50 Total 34 31 47 88 200Given data from the above frequency table, we are interested in finding the probability of a randomly selected student being a junior who takes the bus.SolutionWe know that the total number of students is 200, and the total number of junior students is 50. Hence the probability of selecting a junior is P (Junior) = 50/200 = 0.25Similarly, the number of students who take the bus is 47 and the number of junior students who take the bus is 12.
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whats the answer to
9(w-6)=-36
Answers
w = 2
Step-by-step explanation:Hi there !
9(w - 6) = - 36
9w - 54 = - 36
9w = 54 - 36
9w = 18
w = 18 : 9
w = 2
Good luck !
water balloon was thrown from a window. The height of the water balloon over time can be modeled by the function y=-16x^(2)+160x+50. What was the maximum height of the water balloon after it was thrown?
Answers
Answer:
450 Is the maximum height.
Step-by-step explanation:
Use x=-b/(2a) to get your answer.
Solve completing the square-4x2 +32x -60 = 0divide by -4 first
Answers
Having the following equation:
-4x² + 32x - 60 = 0
we want to solve it
Step 1: we divide both sides by -4\(\frac{-4x^2+32x-60}{-4}=\frac{0}{4}=0\)we distribute the division for each term
\(\begin{gathered} \frac{-4x^2}{-4}+\frac{32x}{-4}+\frac{-60}{-4}=0 \\ x^2-8x+15=0 \end{gathered}\)Step 2: completing the squareWe want to transform the left side to the form:
\(x^2-2ax+a^2\)We are going to rearrange our equation so we have just the first and second term, in order to do so we substract 15 both sides:
\(x^2-8x=-15\)We want to express the second term, 8x, as a multiplication by 2, 2a. Since
2 · 4 = 8, then we have that a = 4.
Then
\(\begin{gathered} x^2-8x \\ =x^2-2\cdot4x=15 \end{gathered}\)Since a² = 4² = 16, we are going to add both sides 16, so we have this equation with the form of the beggining of this step:
\(\begin{gathered} x^2-2\cdot4x=15 \\ x^2-2\cdot4x+16=15+16 \\ x^2-2\cdot4x+4^2=31 \end{gathered}\)Step 3: solving the equationWe are going to factor the left side of the equation:
\(\begin{gathered} x^2-2\cdot4x+4^2 \\ =\mleft(x-4\mright)^2=31 \end{gathered}\)Now, we square root both sides:
\(\begin{gathered} (x-4)^2=31 \\ x-4=\pm\sqrt[]{31} \end{gathered}\)Now, we add 4 both sides:
\(x^{}=4\pm\sqrt[]{31}\)We have two answers now,
\(\begin{gathered} x_1=4+\sqrt{31}\approx4+5.6=9.6 \\ x_2=4-\sqrt[]{31}\approx4-5.6=-1.6 \end{gathered}\)what is a commonly accepted set of assumptions
Answers
A _______ is a commonly accepted set of scientific ideas and assumptions.
Answer: paradigm
i need help on these please
Answers
The cost of gas is proportional to the volume of gas because a constant rate of $3.15 to 1 gallon of gas.
How to calculate the constant rate of gas?From the given table;
The volume of the first gas Layla bought = 3 gallons.
The cost of the 3 gallons = 9.45
Therefore the cost of 1 gallon = ?
That is:
3 gallons = $9.45
1 gallon = X
Make X the subject of formula:
X = 9.45/3 = $3.15
Therefore, the cost of 11 gallons of gas would be = 11×3.15 = $34.65. This is because the cost of 1 gallon would be = $3.15.
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Solve for θ if −10sinθ−8=5√3−8 and 0≤θ<2π.
Answers
The value of variable θ would be,
⇒ θ = 5π/3 and θ = 4π/3
We have to given that;
Expression is,
⇒ - 10sin θ - 8 = 5√3 - 8
Now, We can simplify as;
⇒ - 10sin θ - 8 = 5√3 - 8
⇒ - 10sin θ = 5√3
⇒ sin θ = - 5√3/10
⇒ sin θ = - √3/2
We know that sinθ = -√3/2 when θ = 4π/3 and θ = 5π/3 (among other angles).
However, since 0 ≤ θ < 2π, only the angles in the second and third quadrants are valid solutions for sinθ = -√3/2.
Therefore, the solutions are θ = 5π/3 and θ = 4π/3, option D is correct.
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The solution of the inequality 20 >= 5 + 3x. is
Answers
Answer:
x ≤ 5
Step-by-step explanation:
20 ≥ 5 + 3x
20 - 5 ≥ 3x
3x ≤ 15
x ≤ 5
b) In a certain weight lifting machine, a weight of 1 kN is lifted by an effort of 25 N. While the weight moves up by 100 mm, the point of application of effort moves by 8 m. Find mechanical advantage, velocity ratio and efficiency of the machine
Answers
The mechanical advantage of the given machine is 40, Velocity ratio is 80 and efficiency is 0.5.
The given question is concerned with finding the mechanical advantage, velocity ratio and efficiency of a weight lifting machine.
The problem has provided the following information:
Weight of the object, W = 1 kN = 1000 NEffort applied, E = 25 NHeight through which the object is lifted, h = 100 mm = 0.1 m Distance through which the effort is applied, d = 8 m
We know that, mechanical advantage = load/effort = W/E and velocity ratio = distance moved by effort/distance moved by the load.Mechanical advantage
The mechanical advantage of the given machine is given by; Mechanical advantage = load/effort = W/E= 1000/25= 40Velocity ratioThe velocity ratio of the given machine is given by;
Velocity ratio = distance moved by effort/distance moved by the load.= d/h = 8/0.1= 80EfficiencyThe efficiency of the given machine is given by;
Efficiency = (load × distance moved by load) / (effort × distance moved by effort)Efficiency = (W × h) / (E × d)= (1000 × 0.1) / (25 × 8)= 0.5
Therefore, the mechanical advantage of the given machine is 40, velocity ratio is 80 and efficiency is 0.5.
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The circle graph shows how a family spends its annual income. If 27,600 is used for Food, Auto, and Clothing combined, what is the total annual income?
Answers
$60000 is the total annual income of the family
How find the total annual income using the circle graph?A circle graph is a circular chart divided into sections where each section represents a percentage of the total
Given that: $27,600 is used for Food, Auto, and Clothing combined
The percentages for Food, Auto, and Clothing are 18%, 12% and 16% respectively
Percentages for Food, Auto, and Clothing = 18+12+16 = 46%
Let T represent the total annual income
We can write that:
46% of T = $27,600
46/100 × T = 27,600
Solve for T:
46/100 × T = 27,600
T = (27,600×100) / 46
T = 27,60000/46
T = $60000
Therefore, the total annual income of the family is $60000
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Carrie has 140 coins she has 10 times as much coins as she had last month how many coins did Kerry have last month
Answers
Answer:
Carrie/Kerry had 14 coins last month.
Step-by-step explanation:
10*14=140
PLEASE HELP ASAP GEOMETRY 20 POINTS REAL ANSWERS ONLY!
Find the missing parts of the triangle. Round to the nearest tenth when necessary or to the nearest minute as appropriate.
C = 122.2°
a = 8 km
b = 10.4 km
Answers
Answer:
16.2
Step-by-step explanation:
Use the law of cos
c^2 = 8^2+10.4^2-2*8*10.4*cos(122.2 degrees)
=260.83
c = √260.83 = 16.15
The missing side of the triangle is 16.2 km (round to the nearest tenth)
What is law of cosines ?
If a, b, c are sides of a triangle & C be the angle opposite to side c, then
c²=a²+b²-2ab cosC
What is the missing side ?Here, in the given question, a = 8km & b = 10.4 km
Also the angle opposite to the third side c (say) is C = 122.2°
So, according to the law of cosines,
c²=(8)²+(10.4)²-2(8)(10.4) cos(122.2°)
⇒ c²= 64+108.16-(-88.67)
⇒ c²= 172.16+88.67
⇒ c²= 260.83
⇒ c= √(260.83)
⇒ c= 16.15 = 16.2(approx)
So, the missing side = 16.2 km
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Pls help with math !!!
Answers
Kevin's kick can be considered the best among the four.
To determine the most impressive kick, we can compare the distances and heights achieved by each player.
Andre's kick reached a maximum height of 17 yards and landed 48 yards away from the goal.
Juana's kick followed the path y = -x + 14 - 24, where y represents the height of the ball in yards and x represents the horizontal distance from the goal line. From the graph, we can estimate that her kick landed about 38 yards from the goal and reached a maximum height of 14 yards.
Kevin's kick is shown in the graph, indicating that it landed approximately 19 yards from the goal and had a peak height of 20 yards.
Emiko's kick reached a maximum height of 18 yards and landed approximately 20 yards from the goal.
Considering these measurements, Kevin's kick stands out. It traveled the farthest, landing closest to the goal line, and it achieved the highest height, reaching 20 yards. Consequently, Kevin's kick can be considered the best among the four.
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9. If H is the centroid of ABDF, DF = 50, CF = 42, and BH = 22, find each missing measure.
a) HE =
d) DE =
e) CH=
b) EF=
c) HF =
f) BE =
Answers
Answer:
HE=11
EF=25
HF=28
DE=25
CH=14
BE=33
Step-by-step explanation:
The measurements of the missing lengths are; HE = 11, DE = 25, CH = 14, EF = 25, HF = 28 and BE = 33
What is the centroid of a triangle?The centroid is a point in a triangle where all the three medians of the triangle intersects.
Given that, H is the centroid of the triangle BDF, DF = 50, CF = 42, and BH = 22,
Here, BE, CF and DG are the medians of Δ BDF
We know that,
The centroid divides the medians into two parts always, ratio 2:1
And the medians divide their corresponding sides into two equal parts.
a) HE =
BH/HE = 2/1
Let HE = x, therefore, BH/HE = 22/x = 2/1
HE = 11
b) DE = DF/2 = 50/2 = 25
c) CH = (CF/3)x1 = 42/3 = 14
d) EF = DE = DF/2= 25
e) HF = (CF/3)x2 = 14x2 = 28
f) BE = HE+BH = 22+11 = 33
Hence, Each of the missing measures are HE = 11, DE = 25, CH = 14, EF = 25, HF = 28 and BE = 33
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How can the logarithmic expression be rewritten?
Select True or False for each statement.
Answers
Answer:
True, True, False
Step-by-step explanation:
The half-life of krypton-91 (91Kr) is 10 s. At time t = 0 a heavy canister contains 3 g of this radioactive gas. Find a function m(t) = m02−t/h that models the amount of 91Kr remaining in the canister after t seconds.
Answers
Which statement is true regarding the functions on the graph?
f(–3) = g(–4)
f(–4) = g(–3)
f(–3) = g(–3)
f(–4) = g(–4)
Answers
An equation is formed of two equal expressions. The correct option is C.
What is an equation?An equation is formed when two equal expressions are equated together with the help of an equal sign '='.
The image of the two functions is given below. Since the solution of the two systems of equations is (-3,-4). Therefore, we can write f(–3) = g(–3).
Hence, the correct option is C.
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Answer: f(–3) = g(–3)
Step-by-step explanation:
2x-9
X =
X +5
Use the triangle shown above to solve for x.
A
Answers
The value of x is 14.
We know in an isosceles triangle an isosceles polygon is a polygon with at least two sides of equal length.
We have two sides measured 2x-9 and x+ 5.
From the figure the length of sides are equal then
2x-9 = x+ 5
2x- 9- x = 5
x-9 = 5
Add 9 to both sides of the equation:
x - 9 + 9 = 5 + 9
x= 14
Thus, the value of x is 14.
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The vertices of a rectangle are plotted. A graph with both the x and y axes starting at negative 8, with tick marks every one unit up to 8. The points negative 7 comma 2, 4 comma 2, negative 7 comma negative 4, and 4 comma negative 4 are each labeled. What is the perimeter of the rectangle? 11 units 66 units 17 units 34 units
Answers
According to given information the perimeter of the rectangle is 34 units.
What is rectangle?
A rectangle is a four-sided flat geometric shape in which all angles are right angles (90 degrees) and opposite sides are parallel and equal in length. The length of a rectangle is usually greater than its width, and the two pairs of opposite sides have the same length.
To find the perimeter of the rectangle, we need to find the length and width of the rectangle, and then use the formula for perimeter, which is P = 2L + 2W.
Let's plot the four given points on the graph:
(-7, 2) is 7 units to the left of the y-axis and 2 units up from the x-axis.(4, 2) is 4 units to the right of the y-axis and 2 units up from the x-axis.(-7, -4) is 7 units to the left of the y-axis and 4 units down from the x-axis.(4, -4) is 4 units to the right of the y-axis and 4 units down from the x-axis.Connecting these points, we can see that the rectangle has a length of 11 units (the distance between (-7, 2) and (4, 2)) and a width of 6 units (the distance between (-7, 2) and (-7, -4)).
Therefore, the perimeter of the rectangle is:
P = 2L + 2W
P = 2(11) + 2(6)
P = 22 + 12
P = 34
So the perimeter of the rectangle is 34 units.
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Answer: 34 units
Step-by-step explanation:
Suppose there is a simple index of two stocks, stock A and stock B. Stock A opens on Monday with 5000 shares at $2.75 per share. Stock B opens on Monday with 3000 shares at $4.30 per share. Stock A opens on Tuesday at $3.10 per share, and stock B opens on Tuesday at $4.85 per share. Both stocks have the same number of shares that they opened with on Monday. What is the rate of change of this simple index over 1 day?
Answers
The rate of change of the simple index over one day is approximately 12.78%.
To calculate the rate of change of the simple index over one day, we need to determine the percent change in the total value of the index between Monday's opening and Tuesday's opening.
On Monday, Stock A has 5000 shares at $2.75 per share, so its total value is:
Total value of Stock A on Monday = 5000 * $2.75 = $13,750
Similarly, on Monday, Stock B has 3000 shares at $4.30 per share, so its total value is:
Total value of Stock B on Monday = 3000 * $4.30 = $12,900
The total value of the index on Monday is the sum of the values of Stock A and Stock B:
Total value of the index on Monday = $13,750 + $12,900 = $26,650
On Tuesday, Stock A opens at $3.10 per share, and Stock B opens at $4.85 per share. Both stocks still have the same number of shares as on Monday.
The total value of Stock A on Tuesday is:
Total value of Stock A on Tuesday = 5000 * $3.10 = $15,500
The total value of Stock B on Tuesday is:
Total value of Stock B on Tuesday = 3000 * $4.85 = $14,550
The total value of the index on Tuesday is the sum of the values of Stock A and Stock B:
Total value of the index on Tuesday = $15,500 + $14,550 = $30,050
To calculate the percent change in the index, we use the formula:
Percent Change = ((New Value - Old Value) / Old Value) * 100
Percent Change = (($30,050 - $26,650) / $26,650) * 100 ≈ 12.78%
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fv=100000, pmt=4000, i/y=5%, n=10, what is pv?
Answers
The Present value is $6,139.132.
We have,
FV=100000, pmt = 4000, I =5%, n=10
So, The present value formula is
PV=FV / (1 + \(i)^n\)
So, PV = 100, 000 / (1+ 5/100\()^{10\\\)
PV = 100,000 / (1+ 0.05\()^{10\\\)
PV = 100, 000/ (1.05\()^{10\\\)
PV = 100,000 / 1.6288946
PV= $6,139.132
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U3L4 Slope & Rate of Change Practice #1 Find the slope of the following tables 2) 1) 3) 4) х х Y Y Y х Y х a 0 15 3 2 6 -1 -1 3 +2 1 1 0 4 10 اليا 7 1 1 6 1 2 6 5 3 3 -1 9 2 8 2 3 0 3 10 5 12 10 m= 0 = ind : 5 m = 1 = 2 M Slope Slope Slope Slope
Answers
slope of a line is expressed as;
\(m\text{ = }\frac{y_2-y_{1_{}}}{x_2-x_1}\)from the table 4
when x1 = -1, y1 =3
when x2 = 1, y2 = 6
Find the slope using this coordinates;
\(\begin{gathered} m\text{ = }\frac{6-3}{1-(-1)} \\ m\text{ = }\frac{3}{1+1} \\ m\text{ = }\frac{3}{2} \end{gathered}\)Hence the slope or rate of change is 3/2
Container A has 300 liters of water, and is being filled at a rate of 6 liters per minute. Container B has 900 liters of water, and is being drained at 2 liters per minute. How many minutes, m, will it take for the two containers to have the same amount of water?
Answers
It will take 150 minutes for the two containers to have the same amount of water.
To find the number of minutes it will take for the two containers to have the same amount of water, we need to use the following formula:
m = |A - B| / (a - b)
where m is the number of minutes, A is the initial amount of water in Container A, B is the initial amount of water in Container B, a is the rate at which water is being added to Container A, and b is the rate at which water is being drained from Container B.
In this case, the initial amount of water in Container A is 300 liters, the initial amount of water in Container B is 900 liters, the rate at which water is being added to Container A is 6 liters per minute, and the rate at which water is being drained from Container B is 2 liters per minute. Substituting these values into the formula, we get:
m = |300 - 900| / (6 - 2)
m = |-600| / 4
m = 600 / 4
m = 150 minutes
Therefore, it will take 150 minutes for the two containers to have the same amount of water.
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A car can travel 28 miles per 1 gallon of gas. How far can the car travel on 14 gallons of gas
Answers
Answer:
392 miles in all.
Answer:
392 miles
Thats it
Sean and Darryl are racing on a track. Sean runs 6 miles per hour and gets a 0.25 mile head start. Darryl runs 0.7 mile per hour faster than Sean. If Darryl and Sean run the same distance, how many hours, x, do they run? 6x + 0.25 = 0.7x 0 6x - 0.25 = 3.7x 0 6x +0.25 = 6.7x D 6x + 0.25 = 4.7x
Answers
The relation between speed, distance and time is express as :
\(\text{ Sp}eed\text{ =}\frac{Dis\tan ce}{Time}\)Sean and Darryl are racing on a track.
Sean runs 6 miles per hour and gets a 0.25 mile head start.
Speed of Sean = 6
x is the time taken by Sean
So, Distance = speed x Time
Distance travel by sean = 6x
Since, Sean gets a 0.25 mile head start.
So, total distance travel = 6x + 0.25
Darryl runs 0.7 mile per hour faster than Sean,
Speed of darryl = 0.7 + Speed of sean
Speed of daryl = 0.7 + 6
Speed of darryl = 6.7 miles per hour
x is the time taken by Darryl
So, Distance = Speed x Time
Distance = 6.7x
Distance travel by Darryl = 6.7x
Since distance travel by darryl and sean is equal so,
6x + 0.25 = 6.7x
Answer : C) 6x + 0.25 = 6.7x
A random sample of failure time of 49 kidney transplants (in months) is given: 5.27 43.72 3.96 20.34 44.06 31.18 21.98 34.99 39.36 3.39 23.42 43.41 34.35 46.71 64.87 4.53 7.02 40.50 7.38 37.74 13.49 68.48 48.74 12.85 24.15 27.33 4.82 20.00 55.28 20.83 24.13 11.80 13.82 31.55 36.69 52.57 12.45 40.07 16.86 15.54 15.54 3.85 4.08 5.62 17.44 3.38 41.61 29.52 21.61 If we assume failure time has a Gamma distribution answer the following questions (with 2 decimal points). . Find the critical value for the test (for significance level of 0.1).
Answers
Answer:
Critical value ≈ 1.299
Step-by-step explanation:
number of Kidney transplant ( n ) = 49
Determine the critical value for the test
the sample mean = ∑ failure time / n = 1252.28 / 49 = 25.56
next we determine the standard deviation of the sample
s = \(\sqrt{1/(n-1)(xi -X ) ^2}\) = 17.3126
standard error = s / √n = 17.3126 / 7 = 2.4732
Given a significance level of 0.1
df (degree of freedom ) = n -1 = 49 - 1 = 48
∝ = 0.1
critical value = 1.299 ( using excel function ; =T.INV(0.90,48) )
helpppppp ill give brainliest answer if you know
Answers
Answer:
522.67
Step-by-step explanation:
Base area= 196
Height= 8
put it into the formula
V= 1/3*196*8
196*8= 1,568
1,568*1/3= 522.67
hope this helps <3
Find the area of the region bounded by
• y = √x,
• y = 2-x², and
y = -√2x.
Answers
The area of the Region bounded by y = √x, y = 2-x², and y = -√2x is $\frac{32}{15}$.
To find the area of the region bounded by y = √x, y = 2-x², and y = -√2x, we need to graph the equations and determine the points of intersection. Then we can integrate to find the area.
Firstly, we'll graph the equations and find the points of intersection:
y = √xy = 2-x²y = -√2xGraph of y = √x, y = 2-x², and y = -√2xWe need to solve for the points of intersection, so we'll set the equations equal to each other and solve for x:√x = 2-x²√x + x² - 2 = 0Let's substitute u = x² + 1:√x + u - 3 = 0√x = 3 - u
(Note: Since we squared both sides, we have to check if the solution is valid.)u = -2x²u + x² + 1 = 0 (substituting back in for u
)Factoring gives us:u = (1, -2)We can then solve for x and y:x = ±1, y = 1y = 2 - 1 = 1, x = 0y = -√2x = -√2, x = 2y = 0, x = 0Graph of y = √x, y = 2-x², and y = -√2x with points of intersection to find the area, we need to integrate.
The area is bounded by the x-values -1 to 2, so we'll integrate with respect to x:$$\int_{-1}^0 (2 - x^2) - \sqrt{x} \ dx + \int_0^1 \sqrt{x} - \sqrt{2x} \ dx$$
We can then simplify and integrate:$$\left[\frac{2x^3}{3} - \frac{2x^{5/2}}{5/2} + \frac{4}{3}x^{3/2}\right]_{-1}^0 + \left[\frac{2x^{3/2}}{3} - \frac{4x^{3/2}}{3}\right]_0^1$$$$= \frac{4}{3} + \frac{4}{3} - \frac{4}{15} + \frac{4}{3} - \frac{4}{3}$$$$= \frac{32}{15}$$
Therefore, the area of the region bounded by y = √x, y = 2-x², and y = -√2x is $\frac{32}{15}$.
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PLEASE HELP ASAP! This composite figure is created by placing a sector of a circle on a triangle. What is the area of this composite figure? Use 3.14 for n. Round to the nearest hundredth. Show your work.
Answers
The area of this composite figure made from placing a sector of a circle on a triangle is 95.55 square cm
Calculating the area of the composite figureThe sector area
The area of the sector is calculated as
Area = x/360 * πr²
Where
r² = 8² + 6²
So, we have
r² = 100
This means that
Area = 82/360 * π * 100
Evaluate
Area = 71.55
The triangle area
This is calculated as
Area = 0.5bh
So, we have
Area = 0.5 * 8 * 6
Evaluate
Area = 24
So, the area of the figure is
Figure = 24 + 71.55
Figure = 95.55
Hence, the area is 95.55
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If Margo walks 1/4 mile in 1/12 of an hour, what is her unit rate
Answers
To find the unit rate, we need to determine how much distance Margo covers in one unit of time. We can do this by dividing the distance by the time.
Distance = 1/4 mile
Time = 1/12 hour
Unit rate = Distance ÷ Time
Unit rate = (1/4 mile) ÷ (1/12 hour)
We can simplify this division by multiplying both the numerator and denominator by the least common multiple of 4 and 12, which is 12.
Unit rate = (1/4 mile) ÷ (1/12 hour) x (12/12)
Unit rate = (3/4 mile) ÷ 1 hour
Unit rate = 3/4 mile per hour
Therefore, Margo's unit rate is 3/4 mile per hour. This means that she can cover a distance of 3/4 mile in one hour of walking.
Answer:
3mph
Step-by-step explanation:
1/12 of an hour will be 5 min. In 5 min she can walk 1/4 mile then in one hour she can walk 1/4 x 12. This means her rate will be 3 miles per hour.
60/12 = 5
12 x 1/4 = 12/4 = 3