16. To get to school, Enzo can travel 1.2 km
east on Rutherford Street and then south
on Orchard Avenue to his school. Or, he
can take a shortcut through the park, as
shown. His shortcut takes him 20 min.
a
Rutherford Street
home
Orchard Avenue
shortcut
school
Enzo's walking speed is 6 km/h.
a) What angle does Enzo's shortcut make
with Rutherford Street? Describe any
assumptions you must make.
b) How much time does Enzo save by
taking his shortcut? Explain your answer.
Answers
Answer:
a)it is a 45 degree angle
b) Enzo saves 8 minutes if he takes the shortcut
Step-by-step explanation:
a) In the picture it looked like a square and if Rutherford street is 1.2 km so is Orchard avenue, and if its a true square it must be 90 degrees so you cut that is half and you get your answer of 45 degrees .
b) It takes Enzo 20 min to walk the shortcut and his walking speed is 6 km/h
you divide 20 by 1.3 or one third and you get 2 so the short cut is 2 km long, and we know Rutherford st. and Orchard ave. is 1.2 km each
2.4 km=length of Rutherford and Orchard together
shortcut is 2 km
divide 2.4 by 0.4 or .4 and you get 6
so if it takes him 20 min on the shortcut it should save him 8 minutes.
Related Questions
Which place value first determines which of the numbers 6.399 or 6.400 is the larger number?
thousandths
hundredths
tenths
ones
Answers
Comparing the numbers, it is found that the tenths value first determines which of the numbers 6.399 or 6.400 is the larger number.
The decimal numbers are 6.399 and 6.400.
The ones value for each is 6.For the first value, the tenths digit is of 3, while for the second is of 4.The tenths digit is the first in which there is a difference, hence, it determines which of the numbers 6.399 or 6.400 is the larger number.
A similar problem is given at https://brainly.com/question/17248958
If the ratio of grapes to walnuts to oranges is 6:6:12, how many grapes are there if the total number of fruits is 192?
Answers
Answer:
48 grapes,
Step-by-step explanation:
Firstly, let's sum up the ratio,
6+6+12=24
The fraction of grapes is therefore, 6÷24 or ¼
A ¼ of 192 is 48.
Signifying, there are 48 grapes.
A cheerilee teen willing to help,
stay positive, safe and Brainly!
If the ratio of grapes to walnuts to oranges is 6:6:12, how many grapes are there if the total number of fruits is 192?
Answer:-48 grapes
Explanation:-look at the attached picture :)
. A man bought a car for $60 800. After one year, it was worth $51 680. What is its depreciation as a percentage of the selling price?
Answers
Answer:
c 3
Step-by-step explanation:
= -50880/800 = -318/5 x 20/20
= -6360/100
= -6360%
how what is 3/56 as a percentage
Answers
Answer:
5.4% rounded to the tenths place.
Reasoning:
To convert 3/56 to a percentage, multiply the decimal version of 3/56 by 100.
Estimated, 3/56 as a percentage is 5.4%
Geometry!
Use the diagram of triangle MNO where, X, Y, and Z are the midpoints of the sides.
Answers
Answer:
YZ = 7 , MO = 8
Step-by-step explanation:
A segment joining the midpoints of 2 sides of a triangle is half the length of the third side.
(11)
YZ = [tex]\frac{1}{2}[/tex] MN , that is
3x + 1 = [tex]\frac{1}{2}[/tex] (10x - 6) = 5x - 3 ( subtract 5x from both sides )
- 2x + 1 = - 3 ( subtract 1 from both sides )
- 2x = - 4 ( divide both sides by - 2 )
x = 2
Then
YZ = 3x + 1 = 3(2) + 1 = 6 + 1 = 7
(12)
XY = [tex]\frac{1}{2}[/tex] MO , that is
x - 1 = [tex]\frac{1}{2}[/tex] (3x - 7) ← multiply through by 2 to clear the fraction
2x - 2 = 3x - 7 ( subtract 3x from both sides )
- x - 2 = - 7 ( add 2 to both sides )
- x = - 5 ( multiply both sides by - 1 )
x = 5
Then
MO = 3x - 7 = 3(5) - 7 = 15 - 7 = 8
You alright today? <3
Answers
Answer:
No because No one will brianliest me
Step-by-step explanation:
Answer:
I am alright. What about you?
How to solve algebraic inequalities.
Answers
Algebraic inequalities can be solved in the same way in which algebraic equations are solved.
Please help, I need this done within 2 hours...
Please do the 4 problems circled in blue, show work if possible
Answers
Answer:
12. 108 degrees
13. 150 degrees
15. 40 degrees
16. 30 degrees
Step-by-step explanation:
12. 540 is the total degrees inside a pentagon, and since it is regular (every side is equal) you divide 540/5 to get 108
13. 1800 is the total degrees inside a dodecagon, and since it is regular (every side is equal) you divide 1800/12 to get 150
15. 1260 is the total degrees inside a nonagon however since it is asking for the exterior angle you take 1260/9 to get 140 and since every straight line is 180 degrees you subtract 140 from 180 to get 40 degrees.
16. 1800 is the total degrees inside a 12-gon (dodecagon) however since it is asking for the exterior angle you divide 1800/12 to get 150 degrees which since every straight line is 180 you subtract 150 from 180 to get 30 degrees.
Josh works in a balloon store he will put 45 balloons into bunches he must use the same number of balloons in each bunch the number of balloons in each bunch must be greater than one and less than 10 how many balloons could be in each bunch what I wrote was 357 balloons is that wrong or right?
Answers
Answer: 5 or 9
Find the factors of the number 45.
1, 5, 9, 15
The numbers must be greater than 1 and less than 10.
Now, we must take 5 and 9.
5 x 9 = 45
9 x 5 = 45
The answers are 5 & 9.
Step-by-step explanation:
I am a student in 7th honers and was wondering if someone can help me learn the basics of pre-algebra because I understand none of it.
Answers
Answer:
I reccommend using an AoPS book. You can learn more at aops.com
Step-by-step explanation:
he 134 sixth grade students sit together in the auditorium. Each row has 12 seats. How many rows do the sixth graders need
Answers
Answer:
Approximately 11.1666666667 rows
Step-by-step explanation:
134/12= 11.1666666667
Answer:
12 rows
Step-by-step explanation:
(134 students) / (12 students/row) = 11 2/12 rows
The 6th-graders will need 12 rows of seats. The last row will not be filled.
6 1/2 divided by 3/4 in simplest form
Answers
Answer:
26/3
Step-by-step explanation:
6 1/2 divided by 3/4 = 13/2 divided by 3/4
[tex]\frac{13}{2} / \frac{3}{4}\\[/tex]
[tex]=\frac{13}{2} * \frac{4}{3}[/tex]
=[tex]\frac{26}{3}[/tex]
in the diagram below M is the midpoint of KL
Answers
f(x)=-x^2+9x+4f(x)=−x2+9x+4\text{Find }f(-8)Find f(−8)
Answers
Answer:
-74
Step-by-step explanation:
f(x) = -2x^2 +8x -10
Let x = -4
f(-4) = -2 ( -4)^2 +8(-4) -10
= -2(16) -32-10
= -32 -32-10
= -74
Which is a solution for 7 (x plus 2) equals 35?
Answers
x = 5
Find an ordered pair (x,y) that is a solution to the equation. 3x-y=8
Answers
Answer:
(2,-2)
Step-by-step explanation:
[tex]3x-y =3(2) -(-2)= 6 +2 = 8[/tex]
The lines represented by the equations 5y - x = 5 and y - x = 1 are
Answers
Answer:
Same line
Step-by-step explanation:
5y - x = 5 y - 1/5x = 1
5y = x + 5 y = 1/5x + 1
5y/5 = x/5 + 5/5
y = 1/5x + 1
Can you help me plzzzzzzz
Answers
Answer:
Step-by-step explanation:u have to add x+6 = ur answer there u go
workout the perimeter of this shape 3cm 5cm 2cm 6cm
Answers
Answer:
Perimeter is 16 cm
Step-by-step explanation:
3+5+2+6=16
im assuming the amounts given are the side lengths
In 2013 the population of Indonesia was 200 million. The population was increasing by 2.3% per year. What will the population of Indonesia be in 2022.
Answers
28 points I really need helppppppp
Answers
Please 10 points for one question
Please don’t answer if you don’t know
Answers
Answer:
answer is 60° hope it will help you
True answer only) branlest)
Answers
Answer:
The perimeter of this triangle is 33m.
We can find this by knowing a few things.
1. All sides of this triangle are the same because all the angles are the same.
2. This is an equilateral triangle.
The first thing we need to do is find out what x equals. We can do this by taking 2 of the equations and setting them up like so...
[tex]( 7x - 17 ) = ( 4x - 5 )[/tex]
Then we can plug this into a calculator and find out that x equals 4. And from there we can plug that x value into the equation. And since all sides are the same we just need to find the length of one side and multiply that by 3. So...
[tex]2x+3 = (2*4) +3[/tex]
Then we do some simple math to find that one side has a length of 11m so the entire perimeter is 33.
Step-by-step explanation:
hope this helps. . .<3
good luck! UwU
Daniel is a piano teacher. He charges the same amount, s, for every teaching session. After 19 sessions, he has earned $1,235. How much does Daniel charge for 1 teaching session? Write a division equation.
Answers
Answer:
£65
Step-by-step explanation:
1235 / 19 = 65
(Meeting character limit)
The data for the distance d, in miles, remaining for a train to travel to its destination t hours after it departs a station are
shown in the scatter plot. Which of the following functions best fits the data?
Answers
Using the slope - intercept format, the equation which models the data represented by the graph is d(t) = -50t + 300
According to the general form of a linear regression equation :
y = bx + c b = slope ; c = interceptSlope, b = (Δy ÷ Δx)
Slope = (200 - 50) ÷ (2 - 5)
Slope = 150 ÷ -3 = -50
Intercept is the point where the regression line crosses the y - axis.
From the graph, the intercept = 300
Hence, the regression equation is y = -50t + 300
Learn more : https://brainly.com/question/19017188
whoever answers i’ll mark brainliest
Answers
Answer:
D is (-5,0)
E is (-1,2)
F is (-3,-2)
Step-by-step explanation:
:P
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Answers
Jeff decides to ride his bike in the summer, too. At the end of the summer, he has rode his bike for 1,890 minutes. If he rode the same amount every day for 9 weeks, how many minutes did he ride per day? He rode minutes per day.
Answers
Answer:
30 minutes
Step-by-step explanation:
9 weeks = 1890 minutes
=> 1 week = 210 minutes
=> 7 days = 210 minutes
=> 1 day = 30 minutes.
Therefore, he rode 30 minutes per day in the summer.
Answer:
30 min / dayStep-by-step explanation:
Riding total = 1890 min
Number of days:
9*7 = 63Daily riding:
1890/63 = 30 minHelp please I rlly don’t understand
Answers
a) 2
b) 93
that's the answer
How many students read in 15 minutes between 8am and 9am