Sherbrooke, Quebec is 210 miles from Boston, MA. A train leaves Boston at noon and arrives in Sherbrooke at 4:40 PM. On the return trip to Boston, the train travels 50.4 mph. How many times greater (or less) is the train’s speed on the return trip to Boston than on the trip to Sherbrooke?

Answer:

Step-by-step explanation:

<C = ?

a = 22

b = 20

c = 18

Formula

c^2 = a^2 + b^2 - 2*a*b* cos(C)

Solution

18^2 = 22^2 + 20^2 - 2*22*20*cos(C)

324 = 484 + 400 - 880*cos(C)

324 = 884 - 880*Cos(C)

-560 = - 880 * cos(C)              

-560 / - 880 = cos(C)

0.63636   =  cos(C)

C = cos-1(0.63636)

C =50.48

Answer:

20

Step-by-step explanation:

Answer:

o. k this is a required answere

Answer:

if Cary works at 8 hours per hour, then she will have $440

Step-by-step explanation:

this is, if you are referring to your previous question about Cary making $56 in 7 hours.

Answer:0.714 not sure exactly  if i need to simplify, mullitiply,  or divide.

Step-by-step explanation:

Answer:

I believe it is D. at least -4 and also D. greater than 8

Step-by-step explanation:

The solution set includes all values of x that are a. no more than -4 or d. greater than 8.

Comparing linear expressions which are non equal by inequity signs.

According to the given data.

Complete the statement describing the solution set to this compound inequality 3 − 2x ≥ 11 or x + 6 > 14.

For 3 - 2x ≥ 11

3 - 2x ≥ 11

- 2x ≥ 11 - 3

-2x ≥ 8

 - x ≥ 4

Now make x positive by moving it to the other side and this also switches the inequality.

∴ x ≤ - 4.

For x + 6 > 14

x + 6 > 14

x > 14 - 6

x > 8.

So we have two value of x one is less than or equal to -4 and the other is greater than 8.

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Answer:

I chose a box of cereal-------> rectangular prism

see the attached figure

Part 1)List the dimensions of your box. Be sure to include the units (in, cm, ft, etc.).

Length: 20 cm

Width: 8 cm

Height: 32 cm

Part 2).

Describe the shape of the cross-section when the box is cut parallel to the base

the shape of the cross-section would be a rectangle of dimensions

20 cm x 8 cm

Part 3)

What is the surface area of the box?

surface area=2*area of the base+perimeter of the base*height

area of the base=20*8=160 cm²

perimeter of the base=2*[20+8]-----> 56 cm

height=32 cm

surface area=2*160+56*32------> 2,112 cm²

the answer part 3) is

2,112 cm²

Part 4)

What is the surface area of the box if it is scaled up by a factor of 10?

we know that

surface area of the larger box=[scale factor]²*surface area original box

scale factor=10

surface area original box=2,112 cm²

so

surface area of the larger box=10²*2,112-----> 211,200 cm²

the answer part 4) is

211,200 cm²

Part 5)

What is the volume of the box?

volume of the box=L*W*H-----> 20*8*32------> 5,120 cm³

the answer Part 5) is

5,120 cm³

Part 6)

What is the volume of the box if it is scaled down by a factor of 1/10

we know that

volume of the smaller box=[scale factor]³*volume original box

scale factor=1/10

volume original box=5,120 cm³

so

volume of the smaller box=[1/10]³*5,120-----> 5.12 cm³

the answer part 6) is

5.12 cm³

Step-by-step explanation:

Answer:

541/2 square

Step-by-step explanation:

we know that

the volume of the smaller box=[scale factor]³*volume original box

scale factor=1/10

volume original box=5,120 cm³

so

volume of the smaller box=[1/10]³*5,120-----> 5.12 cm³

the answer part 6) is 541/2 square

Answer:

C

Step-by-step explanation:

Have a great day ^^ :)

Answer:

Jane is 13.

Step-by-step explanation:

Nolan is 11

Jillian is 12 because Jillian is 1 year older than Nolan.

Jane is one year older than Jillian. Which leads to the statement that Jane is 13 years old.

Answer:

A

Step-by-step explanation:

Answer:

23 m, South

Step-by-step explanation: He traveled 25 m north then he went 48 m south so that means you would have to subtract 25 from 48 to get 23 m, south

where's the sample?

lol

Answer:

3 scoops for $3.69 is the best deal

Step-by-step explanation:

Side A is 4

Side B is 6

Perimeter is 28

Answer:

perimeter = 2(length) + 2(width)

Step-by-step explanation:

Answer:

4.9%

Step-by-step explanation:

Answer:

48/70 = 24/35 = 0.685714 = 68.57%

Answer:

48 acopf70 (eg)3 ( nt)2

Step-by-step explanation:

48 acopf70 (eg)3 (nt)2

Step-by-step explanation:

C

good luck

:) :) :) :) :) :) :)

The value of x and y are respectively, 30°, 60°. So option C is correct.

Trigonometry is a branch of mathematics, which deals with the study of right angle triangles. Trigonometry is concerned with specified functions of angles and their applications to calculations.

There are 6 commonly used functions in trigonometry with their name and abbreviations-

sine (sin), cosine (cos), tangent (tan), cotangent (cot), secant (sec), cosecant (cosec)

If sin(x) = cos(y), then x and y must satisfy the following relationship:

sin(x) = cos(90 - x)

So, x and 90 - x must both be in the range of 0 to 90 degrees, or x must be in the range of 0 to 45 degrees.

Therefore, the only possible values of x and y that satisfy this relationship are:

x = 30 degrees and y = 60 degrees

Thus, the value of x & y are 30° & 60°

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Answer:

27 feet

Step-by-step explanation:

There are 3 feet in 1 yard. 9×3=27

Answer:

[tex]P_{20} = 20[/tex] --- 20th percentile

[tex]P_{25} = 21.75[/tex]  --- 25th percentile

[tex]P_{65} = 27.85[/tex]   --- 65th percentile

[tex]P_{75} = 29.5[/tex]   --- 75th percentile

Step-by-step explanation:

Given

27, 24, 21, 16, 30, 33, 28, and 24.

N = 8

First, arrange the data in ascending order:

Arranged data: 16, 21, 24, 24, 27, 28, 30, 33

Solving (a): The 20th percentile

This is calculated as:

[tex]P_{20} = 20 * \frac{N +1}{100}[/tex]

[tex]P_{20} = 20 * \frac{8 +1}{100}[/tex]

[tex]P_{20} = 20 * \frac{9}{100}[/tex]

[tex]P_{20} = \frac{20 * 9}{100}[/tex]

[tex]P_{20} = \frac{180}{100}[/tex]

[tex]P_{20} = 1.8th\ item[/tex]

This is then calculated as:

[tex]P_{20} = 1st\ Item +0.8(2nd\ Item - 1st\ Item)[/tex]

[tex]P_{20} = 16 + 0.8*(21 - 16)[/tex]

[tex]P_{20} = 16 + 0.8*5[/tex]

[tex]P_{20} = 16 + 4[/tex]

[tex]P_{20} = 20[/tex]

Solving (b): The 25th percentile

This is calculated as:

[tex]P_{25} = 25 * \frac{N +1}{100}[/tex]

[tex]P_{25} = 25 * \frac{8 +1}{100}[/tex]

[tex]P_{25} = 25 * \frac{9}{100}[/tex]

[tex]P_{25} = \frac{25 * 9}{100}[/tex]

[tex]P_{25} = \frac{225}{100}[/tex]

[tex]P_{25} = 2.25\ th[/tex]

This is then calculated as:

[tex]P_{25} = 2nd\ item + 0.25(3rd\ item-2nd\ item)[/tex]

[tex]P_{25} = 21 + 0.25(24-21)[/tex]

[tex]P_{25} = 21 + 0.25(3)[/tex]

[tex]P_{25} = 21 + 0.75[/tex]

[tex]P_{25} = 21.75[/tex]

Solving (c): The 65th percentile

This is calculated as:

[tex]P_{65} = 65 * \frac{N +1}{100}[/tex]

[tex]P_{65} = 65 * \frac{8 +1}{100}[/tex]

[tex]P_{65} = 65 * \frac{9}{100}[/tex]

[tex]P_{65} = \frac{65 * 9}{100}[/tex]

[tex]P_{65} = \frac{585}{100}[/tex]

[tex]P_{65} = 5.85\th[/tex]

This is then calculated as:

[tex]P_{65} = 5th + 0.85(6th - 5th)[/tex]

[tex]P_{65} = 27 + 0.85(28 - 27)[/tex]

[tex]P_{65} = 27 + 0.85(1)[/tex]

[tex]P_{65} = 27 + 0.85[/tex]

[tex]P_{65} = 27.85[/tex]

Solving (d): The 75th percentile

This is calculated as:

[tex]P_{75} = 75 * \frac{N +1}{100}[/tex]

[tex]P_{75} = 75 * \frac{8 +1}{100}[/tex]

[tex]P_{75} = 75 * \frac{9}{100}[/tex]

[tex]P_{75} = \frac{75 * 9}{100}[/tex]

[tex]P_{75} = \frac{675}{100}[/tex]

[tex]P_{75} = 6.75th[/tex]

This is then calculated as:

[tex]P_{75} = 6th + 0.75(7th - 6th)[/tex]

[tex]P_{75} = 28 + 0.75(30- 28)[/tex]

[tex]P_{75} = 28 + 0.75(2)[/tex]

[tex]P_{75} = 28 + 1.5[/tex]

[tex]P_{75} = 29.5[/tex]

Answer:

10 : 30

Step-by-step explanation:

Answer:

10:30

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

Answer:

19

Step-by-step explanation:

Answer:

[tex]y = x - 4[/tex]

Step-by-step explanation:

Given

[tex]2y - 2x = -8[/tex] -- correct expression

Required

Represent as slope intercept form

[tex]2y - 2x = -8[/tex]

Make 2y the subject

[tex]2y = 2x - 8[/tex]

Divide through by 2

[tex]\frac{2y}{2} = \frac{2x}{2} - \frac{8}{2}[/tex]

[tex]y = x - 4[/tex]

Answer:

x = 120 degress

Step-by-step explanation:

I can help with more, I have the answers.

Supplementary: 1 and 2 & 3 and 4

Supplementary angles: A pair of angles whose sum is equal to 180°.

Vertical: 1 and 3 & 2 and 4

Vertical angles: A pair of opposite angles that are made by two intersecting lines.

Complimentary: None

Complimentary angles: A pair of angles whose sum is equal to 90°.

Hope this helps! :D

Answer:

1/3

Step-by-step explanation:

The answer is 1/3 to find out how look at the picture above!

Answer:

x = 18

Step-by-step explanation:

Add both distances together:

50 + 22 = 72 feet total distance.

Answer:

5

Step-by-step explanation:

d(5(x+2))/dx

d(5x+10)/dx

d(5x)/dx + d(10)/dx

5+0

5

Answer:

-3

Step-by-step explanation:

The number connected to the x is the slope, the number being added on or subtracted is the y-intercept

Answer:

m=-5

Step-by-step explanation: