Part A: What is the shortest distance between the gymnasium and the library? Round your answer to the nearest tenth of a kilometer.


Part B: Gabe walks the shortest distance from his house to the gymnasium, then the shortest distance to the library. What is the total distance Gabe walked?

Answer:

25sqrt(3)

Step-by-step explanation:

The answer to b would be 12 because 4sqrt(3) * sqrt(3) = 12

The area is bh/2, so take 12 * 4sqrt(3) and divide by two

Answer:

What is the magnitude and direction of the PQ−→− with tail and head points P(-6, 0) and Q(2, 4)? magnitude = √(64+16) = √80 = appr 8.9 , ruling out c.

hope this helps

The magnitude of PQ is 8.9 and PQ is making an angle of 26.57° so 8.9 units, 26.6° north of east will be the correct answer.

A vector is a quantity in which direction and magnitude both matters called a vector.

A vector joining by two points (x₁,y₁) and (x₂,y₂) will be (x₂-x₁)[tex]\hat{i}[/tex] + (y₂-y₁)[tex]\hat{j}[/tex]

The magnitude of this vector will be  

[tex]\sqrt{(x_2-x_1)^2+(y_2-y_1)^2[/tex]  

The direction of this vector will be  

[tex]\\tan^{-1}(\frac{y_2-y_1}{x_2-x_1)}[/tex]

Given P(-6,0) and Q(2,4) so vector joining by

[tex]\vec{PQ}[/tex] = [2-(-6)][tex]\vec{i}[/tex]  + [4-0][tex]\vec{j}[/tex]

[tex]\vec{PQ}[/tex] =  8[tex]\vec{i}[/tex] + 4[tex]\vec{j}[/tex]

now, the magnitude  [tex]\vec{PQ}[/tex] will be

⇒  [tex]\sqrt{(8^2+4^2)}[/tex]

⇒ 8.944

The direction of the vector [tex]\vec{PQ}[/tex] will be

⇒  [tex]\tan^{-1}(\frac{4}{8})[/tex]

⇒26.57°

So, the magnitude of PQ is around 8.944 and the direction is 26.57° from the positive x axis so it's north of the east.

For more information about vector

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Answer:

an=8n−14

Step-by-step explanation:

for an AP

where

a

1

=

the first term

d

=

the common difference

then we have

a

1

,

(

a

1

+

d

)

,

(

a

1

+

2

d

)

,

...

,

a

1

+

(

(

n

−

1

)

d

)

,

.

.

we are given the third term

10

=

a

1

+

2

d

−

−

(

1

)

and the fifth term

26

=

a

1

+

4

d

−

−

(

2

)

subtract

(

2

)

−

(

1

)

16

=

2

d

⇒

d

=

8

sub into

(

1

)

10

=

a

1

+

2

×

8

⇒

a

1

=

−

6

so the nth term

a

n

=

a

+

(

n

−

1

)

will be

a

n

=

−

6

+

8

(

n

−

1

)

a

n

=

8

n

−

14

Answer:

1 1/7

Step-by-step explanation:

By the way for help on math I would reccomend Mathpapa it helps a lot!

Slope-Intercept Form: y=mx+b

Slope: m

HOW TO FIND m:

Rise/Run

4/6 (it can be simplified)

We get two thirds (2/3)

y-intercept: (b)

4

Equation: y=2/3x+4

I really hope it helps:)

- An Acellus Student

Plus a scientific fact:

We have 100 billion neurons in our brain:)

Answer:

35% chance

Step-by-step explanation:

Answer:

x = 17

Step-by-step explanation:

Angle A and angle B are complementary.

Therefore,

(2x + 16)° + 40° = 90°

(2x + 16)° = 90° - 40°

(2x + 16)° = 50°

2x + 16 = 50

2x = 50 - 16

2x = 34

x = 34/2

x = 17

Answer:

omg I absolutely love your profile picture:)

Answer:

1. 1/7

2. 1/5

3. 5/7

4. 5/6

5. 1/3

6. 2/5

7. 2/3

8. 3/7

9. 1/10

10. 4/7

Step-by-step explanation:

Hope this helps!

Answer:

2/14 =  1/7

3/15  =  1/5

25/35  =   7/5

20/24   =   5/6

6/18  =   1/3

8/20  =    2/5

10/15  =    2/3

6/14  =      3/7

4/40  =    1/10

20/35 =  4/7

Step-by-step explanation:

9514 1404 393

Answer:

  629 kilopascals

Step-by-step explanation:

The tire pressure is given by the exponential function ...

  p(t) = 900·0.95^t

where t is in minutes and p is in kilopascals.

  p(7) = 900·0.95^7 ≈ 629 . . . . kilopascals

Answer:

1.827

Step-by-step explanation:

Answer:

I got 2

Step-by-step explanation:

The final cost of meal is $171.35

The unitary method is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

price of food = $137 . 61

Tip = 18%

tax = 6.5%

Now, price after giving tip

=137.61 x 0.18

= 24.7698

and, after tax

=137.61 x 0.065

=8.94465

Hence, final cost of meal = 137.61 + 24.7698 + 8.94465 = $171.35

Learn more about unitary method here:

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Answer:

The answer is 3x +y^3

Step-by-step explanation:

I hope this helps

Answer:

ew math yuck

Step-by-step explanation:

Answer:

(-4, -5)

Step-by-step explanation:

-4x + 2y = 6

-4x + 2(x - 1) = 6

-4x + 2x - 2 = 6

-2x - 2 = 6

-2x - 2 + 2 = 6 + 2

-2x = 8

-2x/-2 = 8/-2

x = -4

------------------------

y = x - 1

y = -4 - 1

y = -5

-------------------------

-4(-4) + 2(-5) = 6

16 + -10 = 6

6 = 6

Answer:

1-8x

Step-by-step explanation:

1/x - 8

x × 1/x - 8× x

1-8x

Answer: The answer is B.

Step-by-step explanation:

Just multiply -2 five times.

-2 * -2 * -2 * -2 * -2

-2*-2 = 4

-2*-2 * -2 = -8

4 * -8

=  -32

decimal form: .03125

Answer: I think the answer is B.

Answer:

quadrant 3 ( bottom left)

Step-by-step explanation:

Answer:

Quadrant || so point D

Step-by-step explanation:

the coordinates are (-4,5)

Answer: 36

Step-by-step explanation:

(7x4) +8 (4-3)

Answer:

22

Step-by-step explanation:

If x = 4 then the equation will be

7(4) + 8(4 -3)

14 + 32 - 24

= 22

Answer:

504

step by step : 14x18=252. 20x18=360. 18x18=324. 58x18=1044. 71x18= 1278. 36x18=648. 28x18=504.

Arrange the data in an ascending order and the median is the middle value. If the number of values is an even number, the median will be the average of the two middle numbers.

504

Answer:

school a

Step-by-step explanation:

240 students

brbdbbsguZkks

Answer:

A=246cm

Step-by-step explanation:

L= 9

W= 3

H= 8

2·(3·9+8·9+8·3)= 245

Formula= A=2(wl+hl+hw)

Answer:

m∠E = 38.7°

Step-by-step explanation:

If you make a drawing it will help.  What you have is a right triangle where you are given the adjacent side to ∠E and the hypotenuse.

The cosine of a angle = adjacent side/hypotenuse.

Therefore cos E = 32/41

arccos (32/41) = 38.7°

Answer:

The answer is 38.7

Step-by-step explanation:

Answer:

Answer = 37

Step-by-step explanation:

= (5)² + (2)³ + (4)¹

= 25 + 8 + 4

= 37 Answer

Answer: The answer is 37

Step-by-step explanation:

Step 1: Use Negative Power Rule: x^-a=1/x^a. So 1/(1/5)^2+(1/2)^-3+(1/4)^-1

Step 2: Use Division Distributive Property: (x/y)^a=x^a/y^a. So 1/1/5^2+(1/2)^-3+(1/4)^-1

Step 3: Simplify 5^2 to 25. So 1/1/25+(1/2)^-3+(1/4)^-1

Step 4: Use Negative Power Rule: x^-a=1/x^a. So 1/1/25+1/(1/2)^3+(1/4)^-1

Step 5: Use Division Distributive Property: (x/y)^a=x^a/y^a. So 1/1/25+1/1/2^3+(1/4)^-1

Step 6: Simplify 2^3 to 8. So 1/1/25+1/1/8+(1/4)^-1

Step 7: Use Negative Power Rule: x^-a=1/x^a. So 1/1/25+1/1/8+1/1/4

Step 8: Invert and multiply. 25+1/1/8+1/1/4

Step 9: Invert and multiply. 25+8+1/1/4

Step 10: Invert and multiply. 25+8+4

Step 11: Simplify 25+8 to 33. So 33+4

Step 12: Simplify. So the answer is 37

Answer: 13.99

Step-by-step explanation:

Using sine rule

((sin 90)/18)= ((sin (180-(90+39)))/x)

((sin 90)/18)=((sin 51)/x)

(1/18)=(0.7771/x)

Cross multiply

x= 0.7771*18

x= 13.99

Answer:

It's below in the explanation

Explanation

1. x has to be greater than 2. So 3 and 4 both work

2. x has to be less than 22. So 21 and 20 both work

3. t has to be less than 5. So 3 and 4 both work

4. There isn't a number there. what is 5 less that?

5. j has to be less than 5 so 5 and 4 both work

6. y has to be less than 4. So 4 and 3 both work

7. B has to be greater than 26. so 26 27 and 28 all work

8.There isn't a number there

9.b can be 3 or greater than 3.

10.z can be 6 or greater than 6

Hope this Helps!

Answer:

1.35

Step-by-step explanation:

Answer:

43.00 this is correct!!!!!

Answer:

slope:3/5

Step-by-step explanation:

Answer:

59/12

Step-by-step explanation:

2 1/4=9/4

9/4+8/3=27/12+32/12=59/12