Michelle decides to ride her bike one day. First she rides her bike due south for 12 miles, then the direction of the bike trail changes and she rides in the new direction for a while longer. When she stops, Michelle is 2 miles south and 10 miles west from her starting point. Find the total distance that Michelle covered from her starting point.
Answers
Answer:
Total Distance Michelle Covered is 26.14 miles
Step-by-step explanation:
According To the Question, We Have
Michelle First Ride Her bike In 12 miles South, then Changed her Direction & Ride Bike For A long While, and when she stopped she find Herself 2 miles south and 10 miles west from starting point. that shows she change direction and start walking in South-West Direction.
(For Diagram, Please Find in attachment)
In Triangle ABC , Apply Phythagorus Theorem
AB² = BC² + AC²
AB² = 10² + 10²
AB² = 200
AB = √2×10 ⇔ 14.14 miles
Now The Total Distance Travelled by Michelle Would be
OA + AB = 26.14 miles
Related Questions
A room has a length of 12 metres and width of 5 metres. What is the area of the room?
Working out please
Answers
Answer:
60 sq.mStep-by-step explanation:
Given,
Length of the room = 12m
Width of the room = 5m
Therefore,
Area of the room = l × w
= 12m × 5m
= 60 sq.m (Ans)
find the perimeter of this figure to the nearest hundredth. Use 3.14 to approximate π.
Answers
Answer:
P = 40.56 ft.
Step-by-step explanation:
Answer:
40.56
Step-by-step explanation:
consider the following sequence at 87;84;81 which term will be the first negative term in the sequence
Answers
Answer:
"31st in the sequence"
87/3 = 29 .. 29 subtractions needed to get to zero
the 30th position in the sequence will be zero
the 31st is the first negative term
1 87
2 84
3 81
4 78
5 75
6 72
7 69
8 66
9 63
10 60
11 57
12 54
13 51
14 48
15 45
16 42
17 39
18 36
19 33
20 30
21 27
22 24
23 21
24 18
25 15
26 12
27 9
28 6
29 3
30 0
31 -3
Step-by-step explanation:
What triangles are similar to triangle AED? Explain or show your reasoning.
Answers
Answer:
DCE is similar to AED
EBA is similar to AED
AFE is similar to AED
EFD is similar to AED
Step-by-step explanation:
Triangle AED:
D=53(alternate interior angle)
A=180-90-53=37 (angle of triangle)
AA similarity criterion
DCE is similar to AED
angle BEA=180-90-53=37=angle A of AED
Thus: AA similarity criterion:
EBA is similar to AED
The diagonal of parallelogram(here:rectangle) cut it into 2 congruent triangles
Thus:
EBA is congruent to AFE
EBA is congruent to AFEDCE is congruent to EFD
Congruent triangles are similar
Conclusion:
DCE is similar to AED
EBA is similar to AED
AFE is similar to AED
EFD is similar to AED
Please give brainliest if it helps
The triangles are similar to triangles AED are DCE is similar to AED, EBA is similar to AED, AFE is similar to AED, EFD is similar to AED.
We have to determineWhat triangles are similar to triangle AED?
According to the question
Alternate interior angles are formed when a transversal passes through two lines.
The angles that are formed on opposite sides of the transversal and inside the two lines are alternate interior angles.
In the triangle AED:
The angle is equal to 53.
Then,
A=180-90-53=37
DCE is similar to AED.
Here EBA, DCE, EF, D, and AFE bc it doesn’t matter about the size it matters about the angle whether it stays the same and you can clearly see that angle b, and f, angle, c, and angle e are all 90 degrees making the triangles I listed similar to triangle AED.
Hence, The triangles are similar to triangles AED are DCE is similar to AED, EBA is similar to AED, AFE is similar to AED, EFD is similar to AED.
To know more about Triangle click the link given below.
https://brainly.com/question/23919428
34. Find the mean for the following data X F 10 3 12 5 14 4 16 5 18 3
Answers
what is the constant of proportionality in the equations 3y=2X?
Answers
Answer:
the coefficient of x is 2/3 which is the constant.
All swimming equipment is on sale with a 30% discount. A snorkeling set regularly sells
for $50. Find the discount.
Answers
Answer:
15
Step-by-step explanation:
50 * .30=15
the graph of y=-3x+4 is?
Answers
Answer:
B
Step-by-step explanation:
that is a linear equation, therefore it makes a line, eliminating choices C and D.
Lines can literally Any x or y. So it would be B, a set of all the solutions to the equations.
Which is the graph of the system x + 3y > -3 and y < 1/2x + 1
Answers
Answer:
4th graph
Step-by-step explanation:
x + 3y > -3
3y > -x - 3
y > -(1/3)x - 1
Blue Line
y < 1/2x + 1
Orange Line
y- intercepts = -1 and 1
A) m + n
B) 0
C) m - 1
D) -(m+n)
Answers
Answer:
D
Step-by-step explanation:
Lsh=rhs
U solve using algebra
A. write the ratio of girls to boys in the class with 12 girls and 15 boys. reduce to the lowest terms.
B. use the information from part A to estimate the number of girls in the school if there are a total of 1350 students in the whole school and in part A is representative of all classes in the school
WILL GIVE BRAINLIEST
Answers
Answer:
A. 4:5
B. 600 girls
Step-by-step explanation:
A. g : b = 12 : 15 = 4 : 5
B. the numbers of girls = 4/(4+5) × 1350
= 4/9 × 1350 = 600
Find the unknown length in the picture below please help
Answers
Answer:
x = 12.65
Step-by-step explanation:
The angle between radius and tangent is 90°
Given diameter is 6, so radius = 3.
Then we use Pythagoras theorem
https://hegartymaths.com/assessment
Several points are given on the graph below.
a) A, B and C are three corners of a rectangle.
Write the coordinates of the other corner.
b) C, D and E are three vertices of a rhombus.
Write the coordinates of the other vertex.
5 ty
А.
В.
4
.
3
2
1.
-5
-4
-3
-1
2
3
4
-2
E
5
-1
D.
-2
-3
-4
-5
Answers
Answer:
??????????
Step-by-step explanation:
Answer:
need more clarification
Step-by-step explanation:
?????????????????????????????????????????????????????????????????????
Which value of a would make the following expression completely factored?
x²-a
A.12
B.36
C.49
D.81
Answers
Answer:
The answer is 12.
12 is not a perfect square like the others.
help -------------------------
Answers
Answer:
(A) -3 ≤ x ≤ 1
Step-by-step explanation:
The given function is presented as follows;
h(x) = x² - 1
From the given function, the coefficient of the quadratic term is positive, and therefore, the function is U shaped and has a minimum value, with the slope on the interval to the left of h having a negative rate of change;
The minimum value of h(x) is found as follows;
At the minimum of h(x), h'(x) = d(h(x)/dx = d(x² - 1)/dx = 2·x = 0
∴ x = 0/2 = 0 at the minimum
Therefore, the function is symmetrical about the point where x = 0
The average rate of change over an interval is given by the change in 'y' and x-values over the end-point in the interval, which is the slope of a straight line drawn between the points
The average rate of change will be negative where the y-value of the left boundary of the interval is higher than the y-value of the right boundary of the interval, such that the line formed by joining the endpoints of the interval slope downwards from left to right
The distance from the x-value of left boundary of the interval that would have a negative slope from x = 0 will be more than the distance of the x-value of the right boundary of the interval
Therefore, the interval over which h has a negative rate of change is -3 ≤ x ≤ 1
Which is equivalent to 3V8^1/4x
BROO SM PLS HELP
Answers
Answer:
= 24 3/4x
Step-by-step explanation:
3* 8 1/4x
Here 8 1/4 is a mixed fraction.
Convert it to improper fraction
8 1/4 = 33/4
So, 3*33/4 x
99/4 x
= 24 3/4x
That is
Hope this will helpful.
gimmie brainlist :)
EXPLANATION:
the third root of 8 is the same as 8 to the 1/3 power, so you’d have (8^1/3)^1/4x
Then you multiple the exponents together to get 8^1/12x, which is the same as the 12th root of 8 to the power of x.
Help!! Stuck on math problem!
Fast answers are appreciated, thanks :)
The graph of the function has a vertical asymptote of x = ______
The graph of the function has a horizontal asymptote of y = ______
Answers
x=0
x=0
Horizontal Asymptotes:
y=0
y=0
No Oblique Asymptotes
Find the value of x if necessary you may learn what the marking on a figure indicate
Answers
Answer:
Step-by-step explanation:
Can you please help me. It says to find each product
Here is the question
There is a picture
Answers
Answer:
-3/5
Step-by-step explanation:
7 * -3/7 * 1/5
Rewritng
7/7 * -3/5 *1
Simplifying fractions
1 * -3/5 *1
-3/5
A square has sides of length (2 a-b) metres. Write down an expression for the area of the square and simplify it
Answers
Answer:
A = 4a² - 4ab + b²
Step-by-step explanation:
The area (A) of a square is calculated as
A = s² ( s is the side length ) , so
A = (2a - b)² ← expand using FOIL
= (2a)² - 2ab - 2ab + (- b)²
= 4a² - 4ab + b²
Find the missing side of the triangle and leave the answer in simplest radical form
Answers
Answer:
it would be radical 7
15 = x²+ 8
x²= 15 - 8
x²= 7 >>>>> radical 7 = x
Step-by-step explanation:
hope it helps
Answer:
x = √7.
Step-by-step explanation:
Using the Pythagoras theorem:
x^2 = (√15)^2 - (2√2)^2
x^2 = 15 - 8
x = √7.
Triangle NJK is similar to triangle LMK by
Answers
Answer:
B
Step-by-step explanation:
SAS cuz ML~NJ and K is common angle
Can you please help. Evaluate angles d and e, giving reasons for your answer.
Answers
Answer:
<d = 25 degrees and <e = 130 degrees
Step-by-step explanation:
We have a vertical angle, so the opposite sides of this angle are the same. This means that the angle opposite to 25 degrees also measures 25 degrees. We have one angle of the triangle. Since the triangle is isosceles, the angle d is the same as 25 degrees.
<d = 25 degrees
The interior angles of a triangle add up to 180 degrees, and we now have 2 angles, so:
<e = 180 - 25 - d
<e = 155-25
<e = 130 degrees
Answer:
<d = 25 degree and <e = 130 degree
Step-by-step explanation:
Let <d, <e and <f be the respective angles
<f = 25 degree (Vertically opposite angles are equal)
side fe = side ed (given)
Therefore, <f = <d (angles opposite to equal sides are equal)
Therefore, <d = 25 degree
<d + <e + <f = 180 degrees (Angle sum property)
25 + 25 + <e = 180
50 + <e = 180
<e = 180 - 50
<e = 130 degree
Therefore, <d = 25 degree and <e = 130 degree
Hope u understood
Please mark as brainliest
Thank You
If pi is rounded to a whole number, what is a reasonable estimate for the circumference of a circle with a diameter of 18 cm?
57 cm
50 cm
54 cm
56 cm
Answers
Answer:
54 cm
Step-by-step explanation:
Hi there!
1) Round pi
π = 3.14159265...
Rounded to a whole number ⇒ 3
2) Determine the circumference
C = πd where d is the diameter
Plug in the diameter
C = 18π
Plug in π
C = 18(3)
C = 54
Therefore, a reasonable estimate for the circumference of this circle would be 54 cm.
I hope this helps!
What is the first step in solving for w in the equation 3W + 5 = 14?
Answers
yo brainly bolws and 2+2 is 4
Answers
Answer:
chese
Step-by-step explanation:
Cheese is a dairy product, derived from milk and produced in wide ranges of flavors, textures and forms by coagulation of the milk protein casein. It comprises proteins and fat from milk, usually the milk of cows, buffalo, goats, or sheep. During production, the milk is usually acidified and the enzymes of rennet (or bacterial enzymes with similar activity) are added to cause the milk proteins (casein) to coagulate. The solids (curd) are separated from the liquid (whey) and pressed into final form.[1] Some cheeses have aromatic molds on the rind, the outer layer, or throughout. Most cheeses melt at cooking temperature.
Answer:
2+2=4
Step-by-step explanation:
Bro, u serious?
Find m angle f.
A. 88
B. 28
C. 62
D. 70
Answers
5 - 2x^2 = -15 solve the question using inverse operations
Answers
Answer:
x= √10 and x= -√10
Step-by-step explanation:
first look to isolate the term with the variable on one side
-5 +5 -2x² = -5 -15; subtract 5 from both sides(inverse of addition)
-2x² = -20; divide both sides by -2 (inverse of multiplication)
x² = 10; square root both sides (the inverse of raising to power of 2)
√x² =√10
x =±√10
2) through:(-1,-1), slope = -4
Answers
Una escalera de 10 metros de longitud esta apoyada sobre la pared. El pie de la escalera dista 6 metros de la pared. ¿ que altura alcanza la escalera sobre la pared?
Answers
Answer:
The height reached by the ladder is 8 m.
Step-by-step explanation:
A 10 meter long ladder is leaning against the wall. The foot of the ladder is 6 meters from the wall. What height reaches the ladder on the wall?
Length of ladder, L = 10 m
foot of ladder, D = 6 m
Let the height reached is H.
[tex]L^2 = D^2 + H^2\\\\10^2 = 6^2 + H^2\\\\100 - 36 = H^2\\\\H = 8 m[/tex]
