16. You and a friend are going shopping. You leave school and drive 10 miles
due west on 26th Street. You then drive 7 miles NW on Raspberry Street to the
grocery store. Your friend leaves school and drives 10 miles due east on 26th Street.
He then drives 7 miles SE on Cascade Street to the movie store. Each of you has
driven 17 miles. Which of you is farthest from your school?

16. You And A Friend Are Going Shopping. You Leave School And Drive 10 Milesdue West On 26th Street.

Answers

Answer 1

Answer:

My friend is farthest from my school

Step-by-step explanation:

Let the distance from the movie store to school be x and the distance from the grocery store to school be y

Using Cosine rule,

x²= 10²+7² - 2×10×7Cos120

x²= 149 -140(-0.5)

x²= 149+70

x²= 219

x= √219

= 14.8miles

y²= 10²+7² - 2×10×7Cos100

y²= 149 -140(-0.1736)

y²=149+24.2704

y²=173.2704

y=√173.2704

y=13.4miles


Related Questions

Today 90 students bought lunch from the cafeteria. If this was 60% of the students, how many students are there in total?

Answers

Answer:  150 students

Step-by-step explanation:

Let X be the total number of students.  We are told that:

0.60X = 90 students

X = (90 students)/0.60

X = 150 students

If b = ⟨6,5⟩, and c = ⟨2,9⟩, find a = 5b − 6c.

Answers

Answer:

< 18, - 29 >

Step-by-step explanation:

a = 5b - 6c

   = 5 < 6, 5 > - 6 < 2, 9 > { multiply each element by the scalar ]            

   = < 30, 25 > - < 12, 54 > [ subtract corresponding elements ]

   = < 30 - 12, 25 - 54 >

    = < 18, - 29 >

Answer:

a=(18,-29)

Step-by-step explanation:

You plug (6,5) in for 5b and you plug (2,9) in for -6c so now you get a=5(6,5)-6(2,9) then you cross multiply the 5 and the -6 therefore you get a=(30,25)+(-12,-54) then you add them together getting the answer a=(18,-29).

Y=-1,X+2y=-6 solve by substitution show all work

Answers

Answer:

[tex]x=-4[/tex]

Step-by-step explanation:

[tex]x+2y=-6[/tex]

[tex]y=-1[/tex]

_________

[tex]x+2\left(-1\right)=-6[/tex]

[tex]x-2\times \:1=-6[/tex]

Multiply: 2*1= 2

[tex]x-2=-6[/tex]

Add 2 to both sides:

[tex]x-2+2=-6+2[/tex]

[tex]x=-4[/tex]

________________

* Hope it helps

* Have a good day!

________________

Answer:

x = -4, y = -1

Step-by-step explanation:

Simple, just plug the Y in

(Pemdas)

x+2(-1) = -6

x-2 = -6

x = -4

-4+2y = -6

2y = -2

y = -1

You guys can write a story or a situation that can be represented by the given equation.

4a + 5 = 12a - 11

Thank you :)​​

Answers

Answer: Situation:

Step-by-step explanation:

You are walking in a grocery store and you see a nice deal saying that if you buy 4 batches of 2 bananas, you will get 5 extra bananas free of charge. However you see in another store that for the same price, you can buy 12 batches of 2 bananas but 11 of them are always bad and are needed to be thrown out. You calculate which deal is better and you decide on the first one because you hate stinking bananas. Hope this helps!

:)

According to legend, in 1589 the Italian scientist Galileo

Galilei dropped two rocks of different weights from the top of the Leaning Tower

of Pisa. He wanted to show that the rocks would hit the ground at the same time.

Given that the tower's height is about 177 feet, how long would it have taken for

the rocks to hit the ground?

1

To solve this problem solve the equation

O= 16t² + 177 Round to the hundrettes place,

Don't forget

to label your

answer

Answers

From the information given, the time taken for the rock to hit the ground will be 3.326 seconds.

From the information given, the formula for the height is given as:

h(t) = -16t² + v + h0

where,

h0 = 177

h(t) = 0

We'll put the values back into the formula. This will be:

h(t) = 16t² + v + h0

0 = -16t² + 177

16t² = 177

t² = 177/16

t = 3.326

Therefore, the time taken will be 3.326 seconds.

Learn more about time on:

https://brainly.com/question/2147281

1. Look at the figure. Find y.
A)15
B)-3
C)2
D)3

Answers

Answer:

y = 3

Step-by-step explanation:

The triangles are congruent by AAS.

Sides 5y and 3y + 16 are congruent by CPCTC.

5y = 3y + 6

2y = 6

y = 3

What is x? Show your work.

Answers

Answer: x=2

Step-by-step explanation: 28/4-5= 2

Please Help Me Out Show You Work :) I will appreciate much

Answers

Step-by-step explanation:

6)

[tex]k = \frac{6}{4} \\ k = \frac{3}{2} [/tex]

7)

[tex] \frac{ab}{mn} = \frac{bc}{no} = \frac{cd}{op} = \frac{da}{pm} [/tex]

8)

[tex]y = 8 ( \frac{3}{2} ) \\ y = 12[/tex]

[tex]z = 6 ( \frac{3}{2} ) \\ z = 9[/tex]

9)

[tex]5k = 8 \\ k = \frac{8}{5} \\ x( \frac{8}{5}) = 32 \\ x = 20ft[/tex]

need help on this one

Answers

Answer:

[tex]g(x)=\frac{1}{8} x^{3} -\frac{3}{2} x^{2} +6x-5[/tex]

Step-by-step explanation:

[tex]x=2\sqrt[3]{y-3} +4[/tex]

switch the x and y, then use order of opperations

the actual height of the building in this scale drawing is 144 feet what is its actual width?

Answers

90 ft.

Set up this proportion:
144/x = 24/5

QUICK I NEED HELP ANSWERING THIS I WILL GIVE YOU BRAINLIST

Answers

Answer:

Step-by-step explanation:

Rule: the largest angle is ALWAYS opposite the longest side, and the converse is also true: the longest side is always opposite the largest angle. So the largest side is E which is B

a perfect score in bowling is 300 points. you get a perfect score if you knock down 120 pins in 10 frames. what are the decimal value and percent of the number of pins knocked down in a relation to a perfect score?

Answers

Answer:

number of pins to perfect score

120/300=40/100

percent means parts out of 100

40/100=40%

answer is 40% or 0.40

NOTE: To find the percentage we will multiply decimal value of  number of know down pins to a perfect score by 100

Number of know down pins to a perfect score= 0.4 x 100

Number of know down pins to a perfect score=40%

If correct please give brainliest

Stay safe and healthy

Thank You

Calculate the average speed of an airplane, in miles per hour, if it travels 1,000 miles in 2

2 1 2

hours.

Answers

speed=distance ÷time1000m÷212 hours 4.71698m i hope this helps

The average speed of the airplane which travels the given distance and time is 400mph.

Speed

Speed is simply defined as distance traveled per unit of time. It is the change of position of a moving object per unit of time.

It is expressed as;

s = distance / time = d / t

Given the data in the question;

Distance travelled d = 1000miTime taken t = 2 and 1/2 hrs = 2.5hrsAverage speed; s = ?

To determine the average speed of the airplane, we substitute our given values into the expression above.

s = d / t

s = 1000mi / 2.5hrs

s = 400mph

Therefore, the average speed of the airplane which travels the given distance and time is 400mph.

Learn more about Speed and Velocity here: https://brainly.com/question/10566304



At what point does the terminal side of the angle 7pi /4 in standard position intersect the unit circle

Answers

Answer: it’s A

Step-by-step explanation: I just did the quiz

hi guys need some help with this one question thanks

Answers

Take two co-ordinates

(-2,0)(0,4)

[tex]\\ \sf{:}\Rrightarrow m=\dfrac{4-0}{0+2}=\dfrac{4}{2}=2[/tex]

Equation in point slope form

[tex]\\ \sf{:}\Rrightarrow y-y1=m(x-x1)[/tex]

[tex]\\ \sf{:}\Rrightarrow y-4=2(x-0)[/tex]

[tex]\\ \sf{:}\Rrightarrow y=2x+4[/tex]

Find the common ratio of the geometric sequence 9, -18, 36, ...

Answers

Answer:

-2.

Step-by-step explanation:

-18/9 = -2.

36/-18 = -2.

We multiply by -2 to get the next number in the sequence.

Common ratio is -2.

in the diagram m∠UYF= 42 1/8

What is ∠FYT?

Answers

Step-by-step explanation:

FYT and UYF are supplementary angles (together they cover all angles around Y on one side of the line TU, and that's is in total 180°).

so,

FYT = 180 - 42 1/8 = 137 7/8°

as 180 - 42 = 138, and then we subtract another 1/8. that gives 137 7/8.

C.
Minh and Mikayla are selling wrapping paper for a school fund-raiser. Customers can
buy either packages of folded paper or rolls of paper. Minh sold 6 rolls of paper and 2
packages of folded paper for a total of $44. Mikayla sold 3 rolls of paper and 9 packages
of folded paper for a total of $54. How much does each roll cost? How much does each
package of folded paper cost?

Answers

Answer:

Rolls $6, Folded $4

Step-by-step explanation:

Minh: 6r + 2f = 44

Mikayla: 3r + 9f = 54

Multiply Mikayla's x 2:  6r + 18f = 108

Subtract Minh:               6r + 2f = 44

                                    16f = 64

f = 4, Folded paper is $4.

Substitute 4 for f into one of the equations.

6r + 2(4) = 44

6r + 8 = 44

6r = 36

r = 6 Rolled paper is $6

5+(3²-4)-6/3 please help

Answers

Answer:8 is the answer.Step-by-step explanation:5 + (3² - 4) - 6/3=> 5 + (9 - 4) - 6/3=> 5 + 5 - 6/3=> 5 + 5 - 2=> 8Conclusion:

Therefore, 8 is the answer.

Hoped this helped.

[tex]BrainiacUser1357[/tex]

a √(x^2-n/m)= a^2/b make x subject

Answers

[tex]\sqrt{x^2 -\dfrac nm} = \dfrac{a^2}b\\\\\implies x^2 - \dfrac nm = \dfrac{a^4}{b^2}\\\\\implies x^2 = \dfrac{a^4}{b^2} + \dfrac nm}\\\\\implies x = \pm \sqrt{ \dfrac{a^4}{b^2} + \dfrac nm}}[/tex]

Which one is not a function??

Answers

Answer:

The first one. All the x values are 2. So it wouldn't pass the vertical line test.

Step-by-step explanation:

Write the statement "cars are vehicles" as a conditional statement. Then write the converse. Also, write the inverse.

Answers

Cars be CVehicles be V

Cars are vehicles means cars=Vehicles

So

[tex]\\ \sf\longmapsto C=V[/tex]

Converse statement:-

Vehicles are cars

[tex]\\ \sf\longmapsto V=C[/tex]

Please help me with this question​

Answers

Answer:

F

Step-by-step explanation:

Answer:

  F

Step-by-step explanation:

You only need to read as far as ...

  y ≤

to choose the correct graph. The values in the solution will be less than or equal to those on the boundary line. That means the graph will be shaded below the line, and the line will be solid (because it is part of the solution).

The graph with a solid line and shading below is graph F.

Hello could someone help me I don’t get this? Will name brainliest :D if correct answer please no links

Answers

Answer:

  A -- only

Step-by-step explanation:

A segment bisector intersects a segment at its midpoint.

S is the midpoint of segment PQ, so ST is a segment bisector. (It intersects PQ at its midpoint, S.)

No other midpoints are shown in this drawing.

__

A perpendicular bisector is perpendicular to the segment it bisects. None are shown in this drawing.

__

An angle bisector divides an angle into two congruent parts. None are shown in this drawing.

__

The vertex of a right angle is often marked with a small square. Only point P is the vertex of a right angle in this drawing. (We cannot assume OPQR is a square.)

show that 12n cannot end with the digit 0 or 5 for any natural number​

Answers

Answer:

Step-by-step explanation:

It can end with a 0.

For example 12 * 5 = 60.

Answer two questions about Equations AAA and BBB:
\begin{aligned} A.&&3x-1&=7 \\\\ B.&&3x&=8 \end{aligned}
A.
B.




3x−1
3x


=7
=8

Answers

Answer:

I don,t knowe wallh

Step-by-step explanation:

Kate took out a subsidized Stafford loan worth $9,710 to pay for college. The interest rate on the loan was 5. 9%, compounded monthly. It took Kate 5 years to pay off the loan after graduation. What portion of the total amount she paid represented the interest? a. $11,236. 22 b. $9,710. 00 c. $1,526. 22 d. $2,942. 37.

Answers

Answer:

the answer is 10,0000

Step-by-step explanation:

round 849,354 to the nearest hundredth.

Answers

Answer:

849,400

Step-by-step explanation:

hi

Answer:

I thinks it 849,400 bc you would round it up because it over half

HELP It's due in 15 minutes​

Answers

Answer:

L

Step-by-step explanation:

30x - 12y
i need help

Answers

Step-by-step explanation:

if you factor it will be 6(5x-2y)

if you graph the slope will be 5/2

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