It would take her 4590 seconds to jog round the track 51 times
Speed is the ratio of the total distance travelled to total time taken. It is given by:
Speed = distance / time
Kat uses 40 seconds to jog 160 m, hence:
Speed = 160 m / 40 s = 4 m/s
The track length = 140 m + 2 * (π * 70) = 360 m
Time taken to jog round the track (t) is:
4 m/s = 360 m / t
t = 90 s
To jog round the track 51 times, time taken = 51 * 90 s = 4590 seconds
It would take her 4590 seconds to jog round the track 51 times
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PARKING Stephanie is drawing the layout of a parking lot on a coordinate grid and needs to verify that two
sides meet in a right angle. In her sketch, one side of the parking lot has endpoints A(0,0) and B(50,0). The
second side of the parking lot has endpoints B(50,0) and C(18, 24). How can Stephanie prove that the two
sides of the parking lot meet in a right angle? Select all that apply.
® Find the slopes of AC and CB. If the product of the slopes is -1, then the sides meet in a right angle.
B Find the slopes of AB and AC. If the product of the slopes is -1, then the sides meet in a right angle.
© Find the slopes of CB and AB. If the slope of AB is the opposite of the slope of AC, then the sides meet in
a right angle.
Find AB, BC, and AC. If AB + BC = AC, then the sides meet in a right angle.
Find AB, BC, and AC. IfAB2+ BC = AC?, then the sides meet in a right angle.
Answer:
The answer is: Find the slopes of AB and AC. If the product of the slopes is -1, then the sides meet in a right angle.
Step-by-step explanation:
From Analytical Geometry, two lines are perpendicular to each other if and only if [tex]m_{1}\cdot m_{2} = -1[/tex], where [tex]m_{1}[/tex] and [tex]m_{2}[/tex] are the slopes of each line, respectively. According to this, the following expression must be observed:
[tex]m_{AB} \cdot m_{BC} = -1[/tex] (1)
Each slope can be determine by definition of the slope of a Secant Line:
[tex]m_{AB} = \frac{y_{B}-y_{A}}{x_{B}-x_{A}}[/tex] (2)
[tex]m_{BC} = \frac{y_{C}-y_{B}}{x_{C}-x_{B}}[/tex] (3)
Where:
[tex]x_{A}[/tex], [tex]x_{B}[/tex], [tex]x_{C}[/tex] - x-Coordinates of points A, B and C.
[tex]y_{A}[/tex], [tex]y_{B}[/tex], [tex]y_{C}[/tex] - y-Coordinates of points A, B and C.
If we know that [tex]x_{A} = 0[/tex], [tex]y_{A} = 0[/tex], [tex]x_{B} = 50[/tex], [tex]y_{B} = 0[/tex], [tex]x_{C} = 18[/tex] and [tex]y_{C} = 24[/tex], then the relationship between slopes is:
[tex]m_{AB} = \frac{0-0}{50-0}[/tex]
[tex]m_{AB} = 0[/tex]
[tex]m_{BC} = \frac{24-0}{18-50}[/tex]
[tex]m_{BC} = -\frac{3}{4}[/tex]
[tex]m_{AB}\cdot m_{BC} = 0\cdot \left(-\frac{3}{4} \right)[/tex]
[tex]m_{AB}\cdot m_{BC} = 0[/tex]
Which means that both line segments are not perpendicular to each other.
In a nutshell, we need to find the slopes of AB and CB, if the product between both slopes is -1. Then, the sides meet in a right angle.
what is the difference of -25 and -125?
Answer:
100
Step-by-step explanation:
Please convert these! (Scientific Notation)
Answer:
Below
Step-by-step explanation:
1.
[tex]4.2*10^{-1}[/tex]
2.
[tex]2.875*10^{3}[/tex]
3.
[tex]1.4031 *10^{6}[/tex]
4.
[tex]8.3*10^{-2}[/tex]
If you need help understanding why you move the decimal places, you can ask in the comments. :).
Pet Supplies make a profit of $5.50 per bag on the nine of natural dog food. If the store wants to make a profit of no less than $5200, how many bags of dog food does the store I need to sell?
Answer:
=> (5200 X 9)/5.5=8509
Step-by-step explanation:
6h+(-7.3d)-13+5d-2.6h=? PLEASE HELP ASAP
Answer:
-2.3d+3.4h-13
Step-by-step explanation:
Answer:
this is the answer -2.3d+3.4h-13
Step-by-step explanation:
I hope u got it right Have a good day
The volume of a cylinder is 1767 cm and its height is 11 cm.
What is the length of the cylinder's radius?
Enter your answer in the box.
Answer:
1778 cm
Step-by-step explanation:
7). What is the area of a
rectangle with a base of
17in and height of 23in?
Answer:
80inches
Step-by-step explanation:
17+17=34
23+23=46
34+46=80
The point (x, y) is proportional to the point (2, 5).
Select all the true statements.
A. (x,y) is a solution to y=5/2x.
B. (x, y) is a solution to y=x+3.
C. The ratio of is equivalent to 5/2:
D. Point (x,y) is the same point as (5,2).
E. A straight line through points (2, 5) and (x,y) will pass through the origin.
Answer:
did u get the answer??
Step-by-step explanation:
if so plz help
Clark is removing dirt from a rectangular section of his backyard to build a water feature. The section is 2.9 meters long and has an area of 8.7 square meters.
2.9x = 8.7
What is the width of the section of Clark's backyard?
A.
3 meters
B.
5.8 meters
C.
4 meters
D.
2.23 meters
Answer:
B
Step-by-step explanation:
Janice drew a scale drawing of a house. The scale of the drawing was 1 inch : 3 feet. If the actual length of a rug in the hallway is 9 feet, how long is the rug in the drawing?
Answer: 3 inches
Step-by-step explanation: Divide the actual length, 9 feet by 3, since that is the scale. then convert to inches
9/3 =3
- Question 11
Mrs. Pitoya has 30 apples and is buying more apples in crates containing 20 apples each. She needs 130 apples for a harvest celebration at her school,
Which equation and solution correctly represent x, the number of crates of apples Mrs. Pitoya needs to buy?
Answer:
Mrs pitoya has to buy 9 crates of apples
Answer: She only needs to buy 5 more crates of apples.
30 + 20(x) = 130
30-30+20(x)=130-30
20x = 100
x = 5
Step-by-step explanation:
A saving account earns 4.5 simple interest per year. If 650.00 is deposited and no withdrawals or deposits are made during one year how much interest will be earned after one year
Answer:
29.25 Interest
Step-by-step explanation:
Take the formula: I=PRT
The principal is 650.00, 4.5 is the rate, 1 year is the time, We do not know the interest.
Change the rate, 4.5 to 0.045 to help solve the problem.
Times 650.00, 0.045, and 1 together.
You will get 29.25, Which is the answer!
Booyah! You are done.
Hope this helps!
Use the description below for Exercises. A rectangle has a length of 12 inches and a perimeter of 42 inches.
The rectangle is dilated using a scale of 4. Find the perimeter and the area of the dilated rectangle.
Answer:108
Step-by-step explanation:
12+12+42+42
1) The bakers at Healthy Bakery can make 290 bagels in 10 hours. How many
bagels can they bake in 23 hours? What was that rate per hour?
Answer:
667 bagels in 23 hours
29 bagels per hour
Step-by-step explanation:
We first find the unit rate in bagels per hour.
(290 bagels) / (10 hours) = 29 bagels/hour
Now we find the number of bagels made in 23 hours.
23 hours * 29 bagels/hour = 667 bagels
please help. I need the answer to the question circled in red. thanks!!
Answer:
35 units
Step-by-step explanation:
Choose 3 values that would make this inequality true. 12 57 +n
Answer:
8, 10, 5
Step-by-step explanation:
7+8=15, 7+10=17, 7+5=12. You’re basically substituting the numbers in for n and seeing if its greater than or equal to 12.
Adam bike 15 miles in 3 hours. Ben bike 12 miles in 2 hours. What was there speed?
When changing 67, 430,000 to scientific notation, how many places is the decimal point moved?
1. how long will it take to run 1.5 kilometres if you run a 10 metre per second
2.Steve travels at 36 kilometre per hour for 20 seconds how far does he go
Answer:
1.150 seconds or 2.5 minutes
2. 0.2km
Step-by-step explanation:
1. 1.5 x 1000=1500
1500/10=150
150/60=2.5minutes
2. 60mins = 36km -Divide both sides by 60 to get how far he would go in 1 minute/60 secs
1min/60secs=0.6km -Divide both sides by 3 to get how far he would go in 20 secs
20secs=0.2km
what is 2.6 multiplied by
15.9
Answer:
41.34Step-by-step explanation: Can I have Brain plz?
At a Chinese buffet, there are five
entree selections. If two entrees may be
selected, how many ways may the
plates be filled?
Answer:
I know I'm a little late, but there are 10 different ways the plate can be filled.
Step-by-step explanation:
Formula:
Enter the value of n for the equation 26 * 2n = 213
Answer:
4.09
Step-by-step explanation:
Need help with questions and will give brainest to good answers. Bad answers or jokes will be reported thanksssssss
Answer:
3, 10, -2/3
Step-by-step explanation:
I don't speak spanish, so I hope i did this right.
Problem 1
set equal to each other
2x+1=x+4
-4 -4
2x-3=x
-2x -2x
-3=-x
times -1 to get a positive x
3=x
Problem 2
repeat steps
4x-5=3x+5
+5 +5
4x=3x+10
-3x -3x
x=10
Problem 3
repeat steps
x=4x+2
-4x -4x
-3x=2
divide
x=- 2/3
to find the y's, go back and plug in
Prob 1: y=(3+4) =7
Prob 2: y=[3(10)+5] =35
Prob 3: y=(-2/3) =-2/3
Answer:
1.)
y = 2x + 1
y = x + 4
Substitute
2x + 1 = x + 4
Subtract 1 on both sides
2x + 1 - 1 = x + 4 - 1
2x = x + 3
Subtract x on both sides
2x - x = x - x + 3
x = 3
Now that we have x we can use that for finding y
y = x + 4
y = 3 + 4
y = 7
x = 3
y = 4
( 3, 4 )
__________________________________________________________
2.)
y = 4x - 5
y = 3x + 5
Substitute
4x - 5 = 3x + 5
Add 5 on both sides
4x - 5 + 5 = 3x + 5 + 5
4x = 3x + 10
Subtract 3x on both sides
4x - 3x = 3x - 3x + 10
x = 10
Now that we have x, we can use that to find y
y = 3x + 5
y = 3 (10) + 5
y = 30 + 5
y = 35
x = 10
y = 35
( 10, 35)
__________________________________________________________
3.)
y = x
y = 4x + 2
Substitute
x = 4x + 2
Subtract 4x on both sides
x - 4x = 4x - 4x + 2
-3x = 2
Divide -3 on both sides to isolate the variable
-3x/-3 = 2/-3
x = -2/3
Now that we have that we can use it to find y
y = x
y = -2/3
x = -2/3
y = -2/3
( -2/3, -2/3)
Hope this helped!
Have a supercalifragilisticexpialidocious day!
state if polygons are similar
Answer:
B
Step-by-step explanation:
someone help work out the mean!!
Answer:
8.2
Step-by-step explanation:
..Kyle purchased a plant that was 2 inches tall. The function h(t) = 2 + 0.75t models the height of the plant t months after Kyle purchased the plant. What is the meaning of h(11)?
a. The plant is 12 inches tall after 11 months.
b. The plants is 11 inches tall after 12 months.
c. The plant is 11 inches tall after 10.25 months
d. The plant is 10.25 inches tall after 11 months.
Answer:
a
Step-by-step explanation:
Solve.
3/5x - 7 = 23
A. x = 40
B. x = 45
C. x = 50
D. x = 55
Answer:
(C) x=50
Step-by-step explanation:
[tex]\frac{3}{5 }x -7=23[/tex]
[tex]\frac{3x}{5} -7=23[/tex]
[tex]\frac{3x}{5} -7+7=23+7[/tex]
[tex]\frac{3x}{5}=30[/tex]
[tex]3x=30* 5[/tex]
[tex]3x=150[/tex]
[tex]x=50[/tex]
Answer:
(C) X = 50
Step-by-step explanation:
(3/5)*x-7 = 23 // - 23
(3/5)*x-23-7 = 0
3/5*x-30 = 0 // + 30
3/5*x = 30 // : 3/5
x = 30/3/5
x = 50 (Sorry if it's wrong)
How to solve 2x-3(9-2x)=-11
Answer:
x=2 hope this helps
Step-by-step explanation:
What is 33127 rounded to the nearest 100
Answer:
33127 rounded to the nearest 100 is 33100
Step-by-step explanation:
Answer:
33100
Step-by-step explanation:
the numbers themselves dont go over 50
since its 27 its at tens are 2
we need a five to go over
therefore it doesnt
round up it stays at 100
use this answer hope it helped !
how do you find the axis of symmetry?
Answer:
The axis of symmetry always passes through the vertex of the parabola . The x -coordinate of the vertex is the equation of the axis of symmetry of the parabola. For a quadratic function in standard form, y=ax2+bx+c , the axis of symmetry is a vertical line x=−b2a .
Step-by-step explanation:
Answer:
x=-b/2a
Step-by-step explanation:
axis of symmetry is the line that across the vertex from a parabola(ax^2+bx+c).
The expression to find vertex is -b/2a
Thus, x=-b/2a is a vertical line that across the vertex aka the axis of symmetry.