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.

16. To Get To School, Enzo Can Travel 1.2 Kmeast On Rutherford Street And Then Southon Orchard Avenue

Answers

Answer 1

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

I need help pls I'll give brainliest!!!!!!!!!!!!!!!!!!!!!!

Answers

Answer:

[tex]\sqrt{32}[/tex]

Step-by-step explanation:

4^2+ 4^2=c

16+16=32

[tex]\sqrt{32}[/tex]

=5.65685424949

The ratios of boys to girls in a class is 6:9. If there are 39 girls in the class, how many boys would be in the class?​

Answers

Answer:

6.5

Step-by-step explanation:

6 to 9 so 39 divided by 6 and you get 6.5

Answer:

6:9 in-simplified is 23:39

Step-by-step explanation:

So 6:9 written in lowest terms is 23:39, this is known as reducing fractions.

4d=12 solve for the variable

Answers

Answer; d=3
Let me know if you need an explanation!

I NEED HELP WITH MATH QUESTION PLEASE HELP ME NO LINKS !!!

Answers

Answer:

21.8

Step-by-step explanation:

1.9 + 9 = 10.9

10.9 x 2 = 21.8

Answer:

21.8

Step-by-step explanation:

2×1.9=3.8

2×9=18

total=21.8

Select the values that make the inequality n > 1 true.
(Numbers written in order from least to greatest going across.)

Answers

All of the answers from 1-9

can someone please help me!! this assignment is due at 11:59 I need this done

Answers

Answer:

Step-by-step explanation:

Tan (theta) = opposite / adjacent

theta = 60 degrees

opposite = 15

adjacent = opposite / Tan(theta)

adjacent = 15 / tan(60)

tan(60) = sqrt(3)

sqrt(3) =  1.732

adjacent = 15 /1.732

answer: adjacent = 8.6603

Molly can received her weekly paycheck and she earned a total of $339.25. If she makes
$14.75 per hour, how many hours, h. did she work?

Answers

Answer:

2267.25

Step-by-step explanation:

add that fisrt one

In the partial sequence …, 987, N, 2584, 4181, …, each new term is the sum of the two previous terms. Find the whole number value of N.

Answers

Answer: 2584

Step-by-step explanation:

We can find N with 2584 and 4181.

4181 - 2584

= 1597

We can also check our answer by adding 1597 and 987

1597 + 987

= 2584

A sequence can be arithmetic, geometric or neither.

The value of N is 1597

The partial sequence is given as:

.... 987, N, 2584, 4181......

From the question, the current term is the sum of two previous terms.

This means that:

[tex]\mathbf{987 + N = 2584}[/tex] and

[tex]\mathbf{N + 2584 = 4181}[/tex]

Make N the subject in both equations

[tex]\mathbf{N = 2584 - 987}[/tex]

and

[tex]\mathbf{N = 4181 - 2584 }[/tex]

So, we have:

[tex]\mathbf{N = 1597}[/tex]

and

[tex]\mathbf{N = 1597}[/tex]

Hence, the value of N is 1597

Read more about partial sequence at:

https://brainly.com/question/12914852

Please help mee …………..

Answers

Answer: i think its A

Step-by-step explanation:

Let's say that a is 8, b is 17, and c is x,

Maximum:

a + b > c  

8 + 17 >c  

c < 25

Minimum:

b + c > a  

17 + c > 8  

c > -9

(As it cannot be negative, we will call this 9.)

So, our answer is D as c, x, must be less than 25 and greater than 9.

Have a nice day!

    I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)

- Heather

2x-4>-14 or 2x-4\leq10

Answers

Answer:

x>0

Step-by-step explanation:

2x−4>−142x−4

Multiplica −14 y 2 para obtener −28.

2x−4>−28x−4

Agrega 28x a ambos lados.

2x−4+28x>−4

Combina 2x y 28x para obtener 30x.

30x−4>−4

Agrega 4 a ambos lados.

30x>−4+4

Suma −4 y 4 para obtener 0.

30x>0

El producto de dos números es >0 si ambos son >0 o <0. Puesto que 30>0, x debe ser >0.

x>0

What is the length of the hypotenuse? If necessary, round to the nearest tenth.

Answers

Answer:

17

Step-by-step explanation:

Answer:

The hypotenuse is 17.

Step-by-step explanation:

a^2+b^2=c^2.

Let's plug in a and b.

15^2 + 8^2 = c^2

Simply.

225+64=c^2

Add.

289=c^2.

Square 289 and c^2 to cancel out the ^2.

17=c

The hypotenuse is 17.

Hope I helped. :)

if "-3(y-10=9" what is the value of y-12

Answers

Answer:

the correct answer is -5 since y=7

18917-8- 1819-7 18918

What is the area of this tile?

Answers

Answer:

Area: 9 in.²

Step-by-step explanation:

Area of square: side²

=> Area of Square tile: 3²

=> 9 in.²

Hoped this helped.

Answer:

9

Step-by-step explanation:

To find the area of a square, multiply both sides.

3*3=9

11 times 11 in binary . Help i need it today!

Answers

Answer:

1011×1011 = 11110011

Step-by-step explanation:

11 in binary is 1011

121 in binary is 1111001

0b1111001. this is the answer in binary, i hope it helps :)

Plz help fast I will mark brainliest

Answers

Base angle theorem proves that

Help.....Me...........PLEASE

Answers

Answer:

~corresponding angles

~congruent

~7x-10=6x so x=10

~60⁰ and 60⁰

Jake sold 39 tickets to the school fair and jeanna sold 12 tickets. What is the ratio in simplest form of the number of tickets jeanna sold to the number of tickets jake sold?

Answers

Step-by-step explanation:

12 to 39 divide each by 3

4 to 13 is the simpliest ratio

Mindy can a drive a total of 375 miles on a full tank of gas, which is 25 gallons. Based on this information, what is the constant of proportionality?

25

15

375

10

Answers

Answer:

15

Step-by-step explanation:

[tex]\frac{25}{375} = \frac{1}{x}[/tex]

Cross multiply to get 25x = 375

Divide each side by 25 to get x = 15

ne ajudemmmm pfvvv ...​

Answers

Answer:

NEED TRANSLATOR

Step-by-step explanation:

ENGLISH PLEASE

I’m working on 3 and 4 only maybe if I can have some explanation so I can understand and do more of these next week.

Answers

4.b.

Answer:  See below.

Step-by-step explanation:

For the equation f(x) = 2x

3.a.  f(6) means use x = 6 in the equation f(x) = 2x

so f(6) would be f(6)= 2(6)

f(6) = 12

3.b.  f(-11) = 2(-11)

f(-11) = -22

3.c.  f(2.75) = 2(2.75)

f(2.75) = 5.5

3.d.  This is turned around.  We are told f(x)=20, so what would x need to be for f(x) to be 20?  Since f(x) = 2x, we can say 20 = 2x.  Therefore x = 10

f(10) = 20

The rest of (3) are solved in the same fasion.h

For the equation  f(x)= 5x+50

4.a.  f(7) = 5(7)+50

f(7) = 85

4.b. f(-12)

  f(-12) = 5*(-12)+50

f(-12) = -60

Continue in the same fashion for these types of problems.

How many rows would be returned from a cross join of tables A and B, if A contains 8 rows and B contains 18

Answers

The number of rows that would be returned from the cross join of tables A and B is 144 rows.

The cross join of table A and table B is the cartesian product of A and B.

Since table A = 8 rows and table B = 18 rows, the cartesian product of the rows is 8 × 18 = 144 rows.

So, the number of rows that would be returned from the cross join of tables A and B is 144 rows.

Learn more about cross join here:

https://brainly.com/question/24263570

Given the complementary angle of y is 43º. Find the supplementary angle of y​

Answers

Step-by-step explanation:

complementary = adds up to 90 degrees.

supplementary = adds up to 180 degrees.

the complementary angle of y is 43 degrees.

so, y = 90 - 43 = 47 degrees.

the supplementary angle of y = 47 is

180 - 47 = 133 degrees

Hello!

Given the complementary angle of y is 43º.

90 - 43 => 47°

Find the supplementary angle of y​

180-43 => 137°

A fisherman has 420 crabs. He sold one tenth of the crabs for a party. Then he sold two-thirds of the remaining crabs to a restaurant. The fisherman estimates that he has 232 crabs left. How far off is the fisherman's estimate?

Answers

Answer:

The answer I'd 28464835383637533

Find the area of the composite figure made up of a square and a semicircle. Use 3.14 as an approximate for pi and give your nearest square inch. Enter only the number.

Answers

Answer:

200.52 in^2

Step-by-step explanation:

to find the area of a circle, you square 6 and multiply it by pi in this case 3.14.

that gives you 113.04 but because this is only a half circle, it is 56.52 in^2.

Next, you need to find the rectangle. multiply 12(length) by 12(Width) to get 144 add 144 to 56.52 to get 200.52.

Hope this helped if it did please give me brainliest it helps me a lot. :)

Hope this helped!

please help and show work

Answers

Answer:

Just do scan and solve by brainly really helpful ngl

Step-by-step explanation:

(a) Aradh borrows R30 000 from the bank at 15% p.a simple interest, payable over 4 years. Calculate his monthly repayments.​

Answers

Answer:

R834.92 is the monthly repayments.

Step-by-step explanation:

Pls help ::::………..
——-////

Answers

Answer:

you will have $133920 intrest monthly and $151920 in the bank

Step-by-step explanation:

Suppose you give $100 to a bank which pays you 5% simple interest at the end of every year. After one year you will have $105, and after two years you will have $110. This means that you will not earn an interest on your interest. Your interest payments will be $5 per year no matter how many years the initial sum of money stays in a bank account.


Which postulate or theorem proves that these two triangles are
congruent?
O ASA Congruence Postulate
O AAS Congruence Theorem
O HL Congruence Theorem
O SAS Congruence Postulateo

Answers

Answer: O AAS Congruence Theorem is your answer

Step-by-step explanation:   plz give brainliest

Solve for value of y

Answers

(9y - 6) + 51 = 90 (right angle)

9y - 6 + 51 = 90

9y - 6 = 90 - 51

9y - 6 = 39

9y = 39 + 6

9y = 45

y = 45/9

y = 5

_______

Hope it helps!

꧁✿ ᴿᴬᴵᴺᴮᴼᵂˢᴬᴸᵀ2222 ✬꧂

what is a two way frequency table

Answers

Answer:

A two-way table is a way to display frequencies for two different categories gathered from a one group of people.

Step-by-step explanation:

Answer:

A two-way or contingency table is a statistical table that shows the observed number or frequency for two variables, the rows indicating one category and the columns indicating the other category.

Step-by-step explanation:

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