Answer:
4 points
Step-by-step explanation:
.
Let L be the circumference of the circle.
Then the faster cyclist will catch the slower cyclist first time when the faster cyclist will cover
the distance which exactly 1 circumference longer than the distance covered by the slower cyclist
9t-5t=l
It gives the time to get first meeting point
t=l/9-5=l/4 hours
and the distance which the faster cyclist covered during this time is
d1=9t=9l/4 miles
The distance which the slower cyclist covered during this time is
d2=5t=5l/4
The meeting point is geometrically the same point on the circle for both cyclists, and its angle measure on the circle is
(1/l)(5l/(4)-l)=1/4
of the full angle of 2pi radians, or 90 degrees.
So, they started simultaneously, and their first meeting point is at the 90 degrees angle.
Next, they started from this point SIMULTANEOUSLY and . . . and everything was repeated.
Hence, their next meeting point is the point on the circle with the angle of 180 degrees.
So, there are 4 remarkable points on the circle: first point is the starting point, and 3 other points
(the points where whey meet/catch each other) are the images of the starting point, rotated 90°, 180°, and 270° along the circle.
There are 4 remarkable points on the circle which is the first point is the starting point and 3 other points.
What is the circumference of the circle?The circumference of the circle that has a radius of r is defined as the product of diameter to the pie value.
The circumference of the circle = 2πr
Let L represent the circumference of the circle.
Then the faster cyclist will catch the slower cyclist the first time when the faster cyclist will cover the distance which is exactly 1 circumference longer than the distance covered by the slower cyclist
9t - 5t = L
It gives them time to get the first meeting point
t = L/9 - 5
t = L/4 hours
The distance which the faster cyclist covered during this time;
d1 = 9t = 9L/4 miles
The distance that the slower cyclist covered during this time is
d2 = 5t = 5L/4
The meeting point is geometrically the same point on the circle for both cyclists, and its angle measured on the circle;
(1/l)(5l/(4)-l)=1/4
Therefore, their next meeting point is the point on the circle with an angle of 180 degrees.
So, there are 4 remarkable points on the circle which is the first point is the starting point and 3 other points.
Learn more about circumference here;
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What is the value of x to the nearest tenth? The figure is not drawn to scale.
5.4
6.3
11.2
x
Answers:
A. x=2.1
B. x=3.4
C. x=9.6
D. x=13.1
Answer:
we need picture
Step-by-step explanation:
probaby d tho
Sam purchased 3 1/4 pounds of cheese. He used half of the purchased cheese for a casserole and 1/4 pound for sandwiches. Express as a mixed number the number of the number of pounds of cheese he has left.
Answer:
1 3/8 lbs.
Step-by-step explanation:
3 1/4 x 1/2 = 1 5/8
1 5/8-1/4=
1 5/8-2/8=
1 3/8
How many 4-digit numbers divisible by 5, all of the digits of which are even, are there?
Answer:
100
Step-by-step explanation:
If a number is divisible by 5, then the last digit is either 0 or 5.
Since all the digits are even, the last digit must be 0.
There are 4 options for the first digit (2, 4, 6, 8).
There are 5 options for the second digit (0, 2, 4, 6, 8).
There are 5 options for the third digit (0, 2, 4, 6, 8).
So the total number of numbers is:
4×5×5×1 = 100
Plss who can solve this plsss
Answer:
The answer is B.
Step-by-step explanation:
First you have to find the angle of ATB. Given that ∠TAB and ∠TBA have the same angle and the total angle in a triangle is 180°. So you have to subtract :
∠TAB + ∠TBA + ∠ATB = 180°
∠ATB + 62° + 62° = 180°
∠ATB + 124° = 180°
∠ATB = 180° - 124°
∠ATB = 56°
A tangent to a circle will always be 90°, so ∠TAO and ∠TBO are 90°. In a quadrilateral, total angles is 360°. So the angle of AOB is :
∠ATB + ∠TAO + ∠TBO + ∠AOB = 360°
56° + 90° + 90° + ∠AOB = 360°
236° + ∠AOB = 360°
∠AOB = 360° - 236°
∠AOB = 124°
Please help me
Students in a class sit two major exams.
75% of students pass the maths exam.
80% of those who pass the maths exam
also pass the science exam. 40% of those
who fail the maths exam pass the science
exam. Find the probability that a student
chosen at random:
(a) passes both exams.
%
Answer: 60%
Step-by-step explanation:
75% passed the math exam
80% of 75% passed both exams
0.80(0.75) = 0.60
The height of the trunk is 26 inches the length of the trunk is 50 inches. The tv is 54 inches wide. And 96 inches in height. Assuming the trunk is at least 96 inches deep can the tv fit into the trunk? Explain
Answer:
It states that assuming the trunk is 96" long. So with that information assuming the trunk is at least 96 inches deep and the tv is 96” long and the length of the trunk diagonal is 56.36” which is greater than the TV length 56”, so the TV will fit diagonally in the trunk.
Step-by-step explanation:
The length of the diagonal of the trunk is 56.356011 inches.
What is Pythagoras Theorem?A theorem stating that the square of the length of the hypotenuse of a right triangle is equal to the sum of the squares of the lengths of the other sides.
Given:
height of the trunk= 26 inches
length of the trunk= 50 inches
using Pythagorean theorem,
diagonal length of the trunk=√(height² +length²)
=√(26²+50²)
=√3176
=56.356011 inches
Hence, the length of the diagonal of the trunk is 56.356011 inches.
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please help! sketch :y = 3x − 2 on a graph
Answer:
The graph of the equation y=3x-2 is shown in the picture below!!
Step-by-step explanation:
I hope this helps, if it does please mark brainliest!! Thank you!! Have a great day!
1. Create your own data set with an interquartile range of 17.
2. Explain how you decided which numbers to use.
3. Show the math that shows the interquartile range is 17.
Hey there! I'm happy to help!
The IQR is how far apart the first and third quartiles are, which are the middle numbers of the first and second halves of a data set. Let's find some random numbers that are 17 apart. We will use 3 and 20.
Now, we have to create a data set where 3 is the middle number of the first half and 20 is the middle number of the second half. Let's have one with six numbers because that's a good amount I guess. Remember that the data has to be going from least to greatest.
In our first half we will have one number that is smaller than 3 and one bigger than three so that 3 is in the middle. Here's an example of what our first half should look like:
2,3,5
Now, for our second half, we need a number smaller than 20 and one greater than 20 so 20 is the the middle. Here's the second half I've made for you.
16,20,100
So, the data set I've created for you is 2,3,5,16,20,100. However, there are many other possibilities as you've seen.
My answers for your question 1 and 2 are in the explanation I've done, and here's the math that shows that the interquartile range is 17.
You split the data in half.
2,3,5, 16,20,100
Q1 is the middle number of the first, which is 3. Q3 is the middle of the second, which is 20.
You find how far apart they are by subtracting 3 from 20.
20-3=17.
The IQR is 17.
Have a wonderful day! :D
A. There is no solution, and it is shown by region B
B. There is no solution
C. There is a solution, and it is shown by region C
D. There is a solution, and it is shown by region A
Answer:
A
Step-by-step explanation:
Describe how the graph of the equation relates to the graph of y = x2.
f(x) = -x + 5)2
Answer:
Step-by-step explanation:
It's y = x^2, not y = x2. The graph of y = x^2 is a parabola with vertex (0, 0) and which opens up.
The graph of y = (x + 5)^2 has the same shape as that of y = x^2, but has been translated 5 units to the left.
The graph of the function f(x) = - (x + 5)² will rotate along the x-axis and shift 5 units to the left.
What is translation?There are four different kinds of translation: stretching, shrinking, rotating, and shifting.
When shifting, the entire graph is moved in the XY direction. When expanding and contracting a graph, we do so by a factor of k. When rotating a graph, we do so either clockwise or counterclockwise.
We know the graph of the equation y = x² is a parabola that opens upwards.
Now, the graph of equation f(x) = - (x + 5)² will first rotate 180° along the x-axis as there is a change in sign y and shift x + 5 = 0 ⇒ x = - 5 shift 5 units to the left.
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The polynomial function F(x)= 2x^2 +4 has a critical point at which of the
following x-values?
A. X=0
B. X=4
C. X=2
D. X=-2
Order from least to greatest. √8, -3.75,3,9/4
Answer:
hope it helps
Step-by-step explanation:
-3.75 , root8 , 9/4 , 3
PLEASE READ BEFORE PROCEEDING! I want you all to get the answer without wasting money so you can still answer with something but I will still place the answer at the end of the question. What are two factors of the composite number 46 other than 1 and 46? A. 3 and 7 B. 2 and 13 C. 2 and 23 D. 3 and 33 ANSWER : C. 2 and 23
Answer:
The answer is C:2 and 23
Step-by-step explanation:
Answer:
U have told the answer in the ques. then why r u asking question.
U know the answer already...
When a business company increased its profit from 20% to 25% the amount of profit increased to Rs 26,04,000. If the company decided to distribute 50 % bonus to its 20 employees equally from the increased amount of profit, how much bonus will each employee receive?
Answer:
1 Employee gets = Rs 13,020
Step-by-step explanation:
25% profit = Rs 26,04,000
Bonus is always 20% of the profit
So, Bonus:
=> 26,04,000/5
=> Rs 520,800
50% bonus from the profit = 520,800/2
=> Rs 260,400
This was divided equally among 20 employees.
So, Each Employ gets:
=> 1 Employee = 260,400/20
=> 1 Employee gets = Rs 13,020
A 10-ounce box of cereal sells for $3.30. A larger box advertises, "10% more-free!" and sells for the same price. What is the cost per ounce of the
larger box?
Answer:
30 cents
Step-by-step explanation:
The box would have 11 oz. (10x1.1)
$3.30/11=30cents
Answer:
30 cents per ounce
Step-by-step explanation:
i got it right
5 POINTS AND BRAINLIEST
Draw the area model for 4x^(2)+12x+9 = (2x+3)^(2)
PLEASE HELP IMMEDIATELY
Answer:
all real numbers are solutions
Step-by-step explanation:
1) simplify the equation 4x^2+12x+9=(2x+3)^2 is the same as 4x^2+12x+9=4x^2+12x+9
2)subtract 4x from both sides 12x+9=12+9
3)subtract 12x from both sides 9=9
4)subtract 9 from both sides 0=0
I really hope this helps!!!:)
FIRST GETS BRAINLLEST If the triangle below is enlarged by a scale factor of 2, what will be the perimeter of the new triangle? 16 units 19 units 21 units 24 units
There are two ways to do this. The first method you would multiply each original side by 2 to get 7 for each side. The new perimeter would be 7+7+7 = 21.
Or you could find the perimeter of the original figure (3.5+3.5+3.5 = 10.5) and then multiply that by 2 to get the same result (10.5*2 = 21)
Can someone help me with this question please
Answer:
Biker 1: 20mph
Biker 2: 15mph
Step-by-step explanation:
Look at the x - axis bar thing at 1 hour, if you look up a little, you see 2 dots. Those are the dots for the mile per hour. You can see the blue dot is at 20 miles and the red one is at 15.
HERE a question........
Answer:
6
Step-by-step explanation:
Split the shape into two shapes, one square and one triangle.
Find the area of the square and area of triangle.
area of square = 2 × 2 = 4
The height of the triangle is 4 - 2 = 2 units.
area of triangle = 2 × 2 × 1/2 = 2
Add the areas.
4 + 2 = 6
The area is 6 units².
Answer:
6
Step-by-step explanation:
It would be easier to divide this shape into a square and a triangle.
square = 2*2 = 4
triangle = [tex]\frac{2*2}{1/2}[/tex] = 2 (2 triangles make squares so 1 triangle is half)
And 4 + 2 = 6
PLZ HURRY! Identify a Venn diagram to show how many students in the sixth grade belong to both cultural and sports team.
Answer:
that was my same answer:)
there very smart
Step-by-step explanation:
how would you solve this question?
Answer:
The value of a is e³ and b is e.
The steps are :
First, you have to integrate the expression shown in the first picture.
Next, you have to solve it as simultaneous equation shown in the second picture.
You have to apply :
[tex] ln(b) - ln(a) = ln( \frac{b}{a} ) [/tex]
[tex] ln(y) = x \: ⇒ \: {e}^{x} = y[/tex]
Given a line segment that contains the points A,B,& C in order, if AB = x + 12, and Bo2.4, and AC = 26 = ?
Answer:
x=11.6
Step-by-step explanation:
According to the angle addition postulate, if B lies on AC, than AB+BC=AC.
We can use this to create this equation.
x+12+2.4=26 Where x+12 is the value of AB and 2.4 is BC.
The next step is to combine like terms, so we add 12 to 2.4 to get
x+14.4=26. When trying to find the value of a variable, you must isolate it. To do this for this equation, we must subtract 14.4 from both sides which will give you.
x=11.6
Hope this helps. If you have any follow-up questions or I misunderstood the question, please tell me and I will fix it or explain more.
Have a great day! :)
(07.04 LC)What is the solution to the equation fraction 1 over 6x = 2?
Answer:
x = 12
Step-by-step explanation:
multiply both sides by the reciprocal of [tex]\frac{1}{6}[/tex], which is 6
x = 12
Answer: x is 12
Step-by-step explanation:
Which expressions are equivalent to (5g+3h+4)⋅2
Select all that apply:
(5g+3h)⋅8
(5g+3h)⋅6
None of the above
Answer:
The answer is
None of the above
Hope this helps you
Answer:
None of the above
Step-by-step explanation:
The function h is defined by h (x) = x^2 +5.
Find h (4a).
????
Answer:
16a^2+5
Step-by-step explanation:
If the rule is y=x+6, what is the y-coordinate for this ordered pair? (8,y)
Answer:
[tex]\boxed{y=14}[/tex]
Step-by-step explanation:
[tex]y=x+6[/tex]
[tex](x, y)[/tex]
The x coordinate is given.
[tex](8,y)\\x=8[/tex]
Plug x as 8.
[tex]y=8+6\\y=14[/tex]
Which of the following matches a quadrilateral with the listed characteristics
below?
1. All four sides congruent
2. Both pairs of opposite sides parallel
3. Diagonals are perpendicular
O A. All quadrilaterals
B. Rhombus
C. Parallelogram
D. Rectangle
Answer:
B. Rhombus
Step-by-step explanation:
no. You're just here for the answer, like a lot of us.
Michelle is changing her health care insurance and deciding between two different plans that charge the
same premium. Plan A has a $1,700 deductible with 20% coinsurance. Plan B has a $1,450 with 30%
coinsurance. Michelle had a total of $8,450 in medical bills last year. Under which plan would Michelle's
share have been less? Support your answer with mathematical calculations. Answer in complete
sentence.
plan B would share less
because, 20% of 1700 is 340 and 30% of 1450 is 435
I hope this helps!!
Answer:
plan A
Step-by-step explanation:
Plan A
1700-8450=6750*.20=1350+1700=3050
Plan B
1450-8450=7000*.30=2100+1450=3550
Answer=Plan A
(10 points!) Help is appreciated!! :)
Answer:
D) f(x)=(1/2)^x, g(x)=(1/8)^x, h(x)=(2/3)^x.
Step-by-step explanation:
Hows everyone today? Heres the question of the day! 5 + 34 x 19
Answer:
I'm doing good. The answer is 651.
Step-by-step explanation:
Using the order of operations, you would multiply the 34 x 39=646. Then add 5 to it: 646+5=651.
Answer:
651Step-by-step explanation:
Using BODMAS Rule:
B = Bracket
O = Of
D = Division
M = Multiplication
A = Addition
S = Subtraction
Now, Let's solve
[tex]5 + 34 \times 19[/tex]
Multiply the numbers
[tex] = 5 + 646[/tex]
Calculate the sum
[tex] = 651[/tex]
Hope this helps!