The maximum distance between them is the diameter of the circle, which is of 44 units.
The equation of a circle of center [tex](x_0, y_0)[/tex] and radius r is given by:
[tex](x - x_0)^2 + (y - y_0)^2 = r^2[/tex]
The diameter is twice the radius, and is the maximum distance between two points on the same circle.
They are running on a circular path, modeled by:
[tex]x^2 + y^2 - 10x - 18y = 378[/tex]
Completing the squares, the equation is:
[tex](x - 5)^2 + (y - 9)^2 = 378 + 5^2 + 9^2[/tex]
[tex](x - 5)^2 + (y - 9)^2 = 378 + 25 + 81[/tex]
[tex](x - 5)^2 + (y - 9)^2 = 484[/tex]
Then, the radius is: [tex]\sqrt{484} = 22[/tex], which means that the maximum distance between the runners at any given time is of 44 units.
A similar problem is given at https://brainly.com/question/25008198
Please help and hurry!
Answer: 3 option correct
Solve for m < LMN.......
Answer:
m< LMN = 111°
Step-by-step explanation:
m< LMO + m<OMN = m< LMN
[tex]58 + 53 = 111[/tex]
Harper knows he is 50 yards from school. The map on his phone shows that the school is 34 inch from his current location.
How far is Harper from home, if the map shows the distance as 3 inches?
Answer:
Step-by-step explanation:
To solve this problem you must apply the proccedure shown below:
1. We know that 1 yard is 36 inches, therefore, 50 yards expressed in inches is:
(50)(36)=1800in
2. If he is 50 yards from school and the map shows that the school is 34 inches from his current location, when it shows 3 inches the real distance is:
(1800)(3in)/24in=158.82
3. If you can to express it in yards:
158.82/36=4.41yd
Therefore, the answer is: 158.82 inches or 4.41 yards.
The time it takes for an object dropped from a height to reach the ground is given by the function time (in seconds) =(1/4)√h where h is the initial height in feet. If an object dropped from a building takes 4 seconds to reach the ground what is height of the object was dropped from, to the nearest foot?
Answer:
256 ft
Step-by-step explanation:
Assuming f(t)=(1/4)√h, we can solve for h by setting 4=(1/4)√h.
4=(1/4)√h
16=√h
h= 16^2 =256 ft
Step-by-step explanation:
h = (4 ÷ ¼)²
h = (4 × 4)²
h = 16² = 256ft
Describe how to convert a fraction to a decimal without a calculator. Be sure to use complete sentences
The length of a rectangle is six times its width.
If the perimeter of the rectangle is 70 cm, find its length and width.
Answer:
Length = 30
Width = 5
Step-by-step explanation:
So the formula for perimeter is
P = 2L+2W
And we know that:
L = 6W
So then we put in all the information that we do know
70 = 2(6W)+2W
And pop that into a calculator and you get W=5
So now we put that information into L = 6W to get:
L = 6×5
L = 30
Anybody good in math ?
Answer:
[tex]y=-0.3(x-2)^2+2[/tex]
Step-by-step explanation:
We know that the parabola faces downard, and hence must have a negative first term, so that eliminates the first and third options.
The vertex of the parabola has an x-value of 2, so it must be of the form [tex]a(x-3)^2+c[/tex].
Combining these, we have that the answer is [tex]\boxed{y=-0.3(x-2)^2+2}[/tex]
Find the measures of two supplementary angles, angle N and angle M, if the measure of angle N is 5 less than 4
times the measure of angle M.
Answer:
140 degress
Step-by-step explanation:
4(37) = 148 - 5 = 143 degrees the larger angle.
143 + 37 = 140 degrees.
At a little-known vacation spot, taxi fares are a bargain. A 14-mile taxi ride takes 18 minutes and costs $.12.60 You want to find the cost of a 41-minutes taxi ride. What unit price do you need?
I think its about 60 dollars
PLEASE HELP
PICTURE INCLUDED
Answer:
c
Step-by-step explanation:
Please answer quick hw due tonight
1/3 is what percent of 2/3 and explain the full thing and work it out
Answer:
50%
Step-by-step explanation:
2/3 * 0.5 = 1/3
0.5 = 50%
PLEASE MARK AS BRAINLIEST!!!!!Square root of 7921....
Answer:
89
Step-by-step explanation:
Which of the following statements are true about a segment in a plane? Choose all that apply.
Every segment has infinitely many midpoints.
Every segment has two bisectors.
Every segment has one perpendicular bisector.
Every segment has infinitely many congruent segments.
Every segment has one line that is perpendicular to it.
Answer:
1, 2, and 5
Step-by-step explanation:
what is The expression 12+9g-30h factored using the GCF is and btw I already tryed 3
Hello!
Answer:
3(4+3g-10h)
Step-by-step explanation:
Hope this helps!
The GCF expression is 12+9g-30h is 3(4 + 3g - 10 h)
what is GCF?A group of numbers' greatest common factor (GCF) is the biggest factor that all the numbers have in common.
For example, 12, 20, and 24 have two common factors: 2 and 4.
The largest is 4, so we say that the GCF of 12, 20, and 24 is 4.
Given:
12+9g-30h
Now, to find the GCF we have to factorize the numbers
12= 2 x 2 x3
9 = 3 x 3
30= 2x 3 x 5
So, the Greatest common factor is 3.
Thus, the GCF expression is 12+9g-30h is 3(4 + 3g - 10 h)
Learn more about GCF here:
https://brainly.com/question/11444998
#SPJ5
Ten children visited Grandma after school for cookies and milk. Grandma divides 1/2 gallon off milk into 10 equal glasses for the children. What fractional part of a gallon of milk does each child receive?
Answer:
Answer should be 1/20
Step-by-step explanation:
(x - 3 ) ( 6x -2)
help plz
6x² - 20x + 6
Step-by-step explanation:
[tex]\begin{aligned}\tt\left(x-3\right)\left(6x-2\right)&=\tt 6x^2-2x-18x+6\\&=\tt 6x^2 -20x+6\end{aligned}[/tex]
Answer:
6x^2 - 20x + 6
Step-by-step explanation:
(x - 3) (6x - 2)
6x^2 - 18x - 2x + 6
6x^2 - 20x + 6
1) soe soe had 15kg of flour. She used 4/5 of it to make some cookies. How many kilograms of flour had she left?
2) U Kyaw mixed red paint and blue paint in the ratio 5:3 for painting a wall. If he made 24 liters of paint for the painting job, how many litres of blue paint did he use?
Answer:
1) 3 liters left
2) 9 liters of blue paint
Step-by-step explanation:
1) 1/5 * 15 = 3
2) 3 liters of blue paint for each 8 liters.
24/8 * 3 = 9
Fractions and Comparisons
Level : JHS1.
The amount of flour used is :
= 4/5 × 15 kg
= 12 kg
The amount of flour left is :
= 15 kg - 12 kg
= 3 kg
2.
5 : 3 = Red : Blue
The amound of blue paint :
= 3 : (3 + 5) × 24 liters
= 3 : 8 × 24 liters
= 9 liters
So, the litres of blue paint did he use is 9 liters
#LearnWithEXO
!30 POINTS! How can I use this trapezoid to prove the Pythagorean Theorem?
Answer:
Pythagorean Theorem: c2 = a2 + b2
Find the area by adding the areas of the three triangles. The area of a right triangle is: A = ½bh
Two triangles are identical so you can just multiply the area of the first triangle by two: 2A1 = 2(½bh) = 2(½ab) = ab.
The total area of the trapezoid is : A1 + A2 = ab + ½c2
You multiply both sides by 2 to get rid of the ½: (a2 + 2ab + b2) = 2ab + c2
You subtract out the 2ab: a2 + b2 = c2.
Then what is left is the proof: a2 + b2 = c2
Can you solve this equation with work? I can't figure out how to show my work for this one.
2(y+x+14) = 14 + 2x
2(y + x + 14) = 14 + 2x
2(y) + 2(x) + 2(14) = 14 + 2x
2y + 2x + 28 = 14 + 2x
2y + 2x - 2x = 14 - 28
2y = -14
2y / 2 = -14 / 2
y = -7
A student can solve 12 math problems in 45 minutes. How long will it take the student to complete 20 problems if all the problems take the same amount of time?
Answer:
75min or 1 hour 15min
Step-by-step explanation:
45/12 = 3.75min per problem
3.75 x 20 = 75min or 1 hour 15min
What is an equation of the line that passes through the point (-8, -1) and is
parallel to the line x – 4y = 4?
Answer:
y = 1/4x + 1
Step-by-step explanation:
x - 4y = 4
x - 4 = 4y
1/4x - 4/4 = y
1/4x -1 = y
Slope: 1/4
Point: (-8,-1)
y-intercept = -1 - (1/4)(-8)=
-1 + 2 = 1
100 points
.
I know the answer I just need explanation as to why this is the answer!
The question:
3. Two students created a list of steps for the following construction. Which student has steps in the correct order, and which does not? Explain.
The answer:
Student A is Wrong and student B is correct!
The work of the students:
You are given line AB and point C. Construct a line parallel to line AB that passes through point C.
Student A Steps:
Draw a line that intersects points B and C.
Draw a line through point C and point G.
Keep the compass at the same width, and place it on point C.
Keeping the compass at the same width, place it on point F.
Mark the intersection of the two arcs as point G.
Open the compass to the width between points D and E.
Place the compass on point B, and swing an arc that crosses line AB and line BC. Label the points D and E.
Swing an arc that crosses line BC, and label the point F.
Swing an arc that intersects the arc created from line BC at point C.
Student B steps:
Draw a line that intersects points B and C.
Place the compass on point B, and swing an arc that crosses line AB and line BC. Label the points D and E.
Keep the compass at the same width, and place it on point C.
Swing an arc that crosses line BC, and label the point F.
Open the compass to the width between points D and E.
Keeping the compass at the same width, place it on point F.
Swing an arc that intersects the arc created from line BC at point C.
Mark the intersection of the two arcs as point G.
Draw a line through point C and point G.
Student A is wrong and Student B is correct.
How?
Direction is saying to construct a line that passes through C The last step is enough to describe that A is wrong.Its saying to swing an arc(Should be line).On the other hand Student B has done correct By passing point through C and G it satisfies our required construction.Can you help me on 16, 17, 18, 19, and 20
I will mark brainliest
I will report for spam, stealing points, and links
Answer:
16. C 17.A 18.D 19.c
hope this helps
On a particular day, an airliner has 150 flights arrive early, 500 flights arrive on time, and 75 flights arrive late. What is the experimental probability that a flight will not be late?
a. 75/725
b. 75/650
c. 500/650
d. 650/725
Answer:
[tex]650/725[/tex]
Step-by-step explanation:
The probability a flight will not be late is (flights that are not late)/(total flights).
If you're early or on time, you're not late. So, the probability is [tex](150+500)/(150+500+75)=\boxed{650/725}[/tex]
Answer:
D. 650/725
Step-by-step explanation:
D is the correct answer
is it
A)55
B)49
C)100
D)68
Answer:
49 as the lines have to equal 90 so 51 degrees plus 49 degrees equals 90
I'm genuinely confused
Answer:
Basically what you wanna do is find all points on the x axis since it is at 0 y
So the answer is -2 1 or 3 only
Graph the image of the given segment under a dilation with scale factor - 1/3 and center of dilation (0, 0)
Answer:
its hard to see
Step-by-step explanation:
Good day dear friends,
The expression 2L + 2W is used to find the perimeter of a rectangle with length L and width of W.
What is the perimeter of a rectangle with length 15cm and width 4cm?
Show your work.
A. 38
B. 60
C. 239
D. 23
Answer:
A, 38cm
Step-by-step explanation:
since u have to take 15cm (the length) then multiply by 2 to take both the sides of the rectangle
then you have to take the width 2 times to take the perimeter and add it up. so 15x2 and 4x2 added is 38. there!
a bread slicer runs 29 hrs per day for 30 days and slices 144,000 loaves of bread. how many loaves per hr are sliced?
conversions
Is it 4965 sph (slices per hour)
Solve the equation: 8 = 1/3(a+5)
Answer:
a=19
Step-by-step explanation:
8=1/3(a+5) by dividing both sides by 1/3
24 = a+5 get 5 to other side with oposite sign
24-5 = a
a = 19
Answer:
a = 19
Step-by-step explanation:
8 = [tex]\frac{1}{3}[/tex] ( a + 5) ← multiply both sides by 3 to clear the fraction
24 = a + 5 ( subtract 5 from both sides )
19 = a