A car travels 60 miles due north then makes a turn due west. It travels 72 miles west. How far is the car from ils starting point?​

Answer:

a: (4,4)  B:(10,6)  C:(0,2)  D: over 12  E: over 3, up 2  F: up 7

Answer:

B

Step-by-step explanation:

r=48.5/2

r=48.5/6.2831853071796

r=7.71901474

7.7

Answer:

x = 5

Step-by-step explanation:

5x + 30 and 2x + 45 are alternate exterior angles and are congruent, thus

5x + 30 = 2x + 45 ( subtract 2x from both sides )

3x + 30 = 45 ( subtract 30 from both sides )

3x = 15 ( divide both sides by 3 )

x = 5

Answer:

B. no, the relation is not a function

Step-by-step explanation:

Answer:

Yes, your total savings on gas is proportional to the number of beverages you purchase.

Step-by-step explanation:

What is a proportional relationship?

A proportional relationship, also known as direct relation, between two variables exists when the ratio between every pair of data is constant.

In this case the variables are:

number of beverage purchased

savings

Thus, as per every beverage purchase you save $ 0.20 the ratio of total savings to the number of beverage purchases is:

savings / beverages purchase = $ 0.20 / beverage

That means that you can determine the savings by multipliying the number of beverages times $ 0.20.

For proportional relationships it is easy to build a table that shows the behavior of the variables. This shows you that:

Number of beverages   savings    ratio

        1                              $ 0.20      $0.20 / 1 beverage = 0.20

        2                             $ 0.40      $0.40 / 2 beverages = 0.20

        3                             $ 0.60       $0.60 / 3 beverages = 0.20

        4                             $ 0.80       $0.80 / 4 beverages = 0.20

The equation of the line passing through the point ( -1,-3) will be y = -2x - 5.

An equation of the line is defined as a linear equation having a degree of one. The equation of the line contains two variables x and y. And the third parameter is the slope of the line which represents the elevation of the line.

The general form of the equation of the line:-

y = mx + c

Given that the line passes through the point (-1, -3) and is perpendicular to the line x –2y = 14. the equation of the line will be calculated as:-

Make equation: y = mx + b

x = 2y + 14

2y = x - 14

y = 1/2x - 7

For a line perpendicular, the sign will be opposite and the slope will be reciprocal.

y = -2x + b

-3 = -2(-1) + b, b = -5

The equation of the line will be written as below:-

y = -2x - 5

Therefore, the equation of the line passing through the point ( -1,-3) will be y = -2x - 5.

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Answer:

2/25

Step-by-step explanation:

Answer:

Step-by-step explanation:

if we have 42 students which are divided in group of 4 we will have

42/4=10 groups and 2 students left

if we would have a group out of 3 students, we will have 14 groups and 14 chaperones

a group will have 3 students and one chaperone

42 students and 14 chaperones

Answer:

360in²

Step-by-step explanation:

The base of the rectangular prism is a rectangle. Since we are to find the area of the base of the cabinet, then we just need to get the area of the rectangle.

Area of a rectangle = Length * Width

Given

Length = 9in

Width = 40in

Area of the base = LW

Area of the base  = 9 * 40

Area of the base  = 360in²

Therefore the area of the base of the cabinet in square inches is 360in²

Answer:

y = -2x + 5

Step-by-step explanation:

y = mx + b                  points on the graph: (0,5)    (1,3)

y = mx + 5

[tex]\frac{5-3}{0-1}[/tex] = [tex]\frac{2}{-1}[/tex] = -2

y = -2x + 5

Answer:

A) 4k + 3p < 36

B) 3 kitten magazines and 4 puppy magazines

4 kitten magazines and 6 puppy magazines

C) If bill bought 3 kitten magazines, then he buys less than 8 puppy magazines.

Step-by-step explanation:

Let:

The number of kitten magazines = k

The number of puppy magazines = p

A) Write an inequality that describes the situation

We are told:

Bill spent less than $36 on Kitten and puppy magazines kitten magazines cost $4 each and puppy magazines cost $3 each

Hence:

$4 × k + $3 × p < 36

4k + 3p < 36

B) List two possible combinations of puppy and kitten magazines

4k + 3p < 36

Bill can buy:

3 kitten magazines and 4 puppy magazines

4 kitten magazines and 6 puppy magazines

C) If bill bought 3 kitten magazines, how many puppy magazines can he buy?

Using the inequality above:

4k + 3p < 36

4k + 3p < 36

4 × 3 + 3p < 36

12 + 3p < 36

3p < 36 - 12

3p < 24

p < 24/3

p < 8

If bill bought 3 kitten magazines, then he buys less than 8 puppy magazines.

Solution: [tex]x \ge 11[/tex]

Graph: Closed circle at 11, shading to the right

======================================================

Work Shown:

[tex]x+7 \ge 18\\\\x+7-7 \ge 18-7\\\\x \ge 11[/tex]

In the second step, I subtracted 7 from both sides to undo the "plus 7".

To graph this, we place a closed or filled in circle at 11. Then we shade to the right. The endpoint x = 11 is included as part of the solution set, which is why we use a closed circle instead of an open hole.

This visually describes all values that are equal to 11 or larger than 11.

Answer:

Joe will run 22.08 miles in 230 minutes.

Step-by-step explanation:

so Joe running the miles in 1 minute is = 12/125 = 0.096 miles

As Joe runs 0.096 miles in one minute.

Thus, in 230 minutes, Joe will run = 0.096 × 230 = 22.08 miles

Therefore, Joe will run 22.08 miles in 230 minutes.

Answer:

A dog kennel owner wants to enclose a rectangular dog run. She

wants it to be five times as long as it is wide. She cannot use

more than 100 feet of fencing. Describe the dimensions of the

dog run.

****For word problems you must define the variable for the situation & write a

sentence to describe the solutions. **

Step-by-step explanation:

Answer:

This graph has been translated. Translation is when the image on the graph has been shifted along one or both of the axis. In this case, the graph has been shifted up two units as shown by the operation of addition on the y-value. Remember that translations are rigid movements, so the new image will be congruent to the pre-image.

Answer:

37

Step-by-step explanation:

Answer:

add up ??

Step-by-step explanation:

Answer:

haha troll go brrr

Step-by-step explanation:

2,4,5 (actual answer)

2-angle MNP (38) is less than angle ONP (39)

4- they are equal by the reflexive property of congruence op

5-is MNP has a lower angle, side MP should have a longer side

Answer:

Option 4 is correct

Step-by-step explanation:

The formula of the Trigonometric Identity Sine is,

[tex]Sin\ \theta=\frac{perpendicular}{hypotenuse}\\\\sin\ 40 =\frac{x}{b}[/tex]

Answer:

Step-by-step explanation:

Let the original width be x

Then the original length = x + 11

Area = x * (x + 11)

If you decrease each side by 7 you get

Area 1 = (x - 7)(x + 4)

So area - area1 =

x (x + 11) -98 = (x - 7)(x + 4)                  Remove the brackets

x^2 + 11x - 98 = x^2 - 7x + 4x - 28      Combine the like terms

x^2 + 11x - 98 = x^2 - 3x - 28              Add 98 to both sides

x^2 + 11x = x^2 - 3x + 70                     Cancel the x^2

11x = -3x + 70                                       Add 3x to both sides

14x = 70                                               Divide by 14

x = 70 / 14

x = 5

=====================

Original conditions

Answer width = 5

Length = 16

If you check this, you will get totally bizarre answers. Don't check it. It gives negative results. You can do this in math, but not in the real world.

Answer:

Sometimes, “I don't know” or “Let me get back to you” just doesn't cut it. ... Most of the time it's no big deal when you don't have a solid answer right away. ... get back to you,” can risk diminishing your credibility–especially if those are your ... Related: 5 Credibility-Busting Responses You Need To Stop Using .

Step-by-step explanation:

Credibility-Busting Responses You Need To Stop Using .

Answer:

-8=6-7x (subtract 6 from both sides)

-14=-7x (divide each side by -7)

x=2

the answer is C

Answer:

c: 2

Step-by-step explanation:

-8 = 6 -7x, isolate the -7 by moving the 6 to the left side of the equation so it becomes -8-6 = -7x --> -14 = -7x and then divide by both sides by -7 and then you get x =2, you can plug in the number back into the equation to make sure

Answer:

Step-by-step explanation:

the longest length is always the hypotenuse

Use Pythagorean theorem

a^2+b^2=c^2

5^2+10^2=c^2

c=11.18

Note: if c=13 than it is a right triangle

since 11.18 not=13

not right triangle

Answer:

It is not a right triangle

Step-by-step explanation:

a(squared) + b(squared) = c(sqaured)

a = 13, b = 5, c = 10

13 times 13 is 169

5 times 5 is 25

169 + 25 = 194

but that's not all.

10 times 10 is 100.

the problem is 169 + 25 is 194, not 100. for the triange to be a right triangle, all the numbers have to make sense. i don't know if this helps but again, it is not a right triangle.

Answer:

117

Step-by-step explanation:

Got it from calucaltor and did it to make sure

Answer:

117

Step-by-step explanation:

Answer

The arc length of the semicircle is  5[tex]\pi[/tex] units or 15.7[tex]\pi[/tex] units

The arc length of the semi-circle will be equal to 11π.

The arc length of the semicircle is defined as the length of the curved path of the circle.

The arc length will be calculated as follows:-

Arc = π x r

Arc = π x 11

Arc = 11π

Therefore the arc length of the semi-circle will be equal to 11π.

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Answer:

4

Step-by-step explanation:

Answer:

22=4/8 if needed to simplify that is 1/2

Answer:

22. 1/2

23. 11/6

24. 10/19

Step-by-step explanation:

Answer: c

Step-by-step explanation:

bc i said