Find the measure of the exterior angle.

The number of years before the new car becomes $5700 is 11.4 years.

Depreciation is when the value of an asset declines with the passage of time.

Number of years = (In FV / PV) / r

(IN 5700 / 20,000) / 0.11 = 11.4 years

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Answer:

Given data:

Radius r = 50cm

Time taken by the wheel to turn 80 degree = 1/9 seconds

= > In one second, wheel turns 720 degree

We know that one revolution is 360 degree

Therefore in one second, it takes 2 revolutions

In one hour i.e. 3600 seconds, it takes 7200 revolutions

Distance travelled by the wheel in one revolution is equal to the circumference of the wheel.

Distance travelled in one revolution = 2 π r = 2 π x 50 = 100 π cm

Distance travelled in one hour i.e. for 7200 revolution = 720000 π cm

So, distance travelled by the point on the rim of the wheel in an hour = 7.2 π km = 22.6 km

Step-by-step explanation:

Answer:

30.5°

Step-by-step explanation:

Supplementary angles add up to 180°. You know one angle is 149.5°, so you can find the other angle.

Measure of its supplementary angle = 180° - 149.5°

                                                             = 30.5°

Answer:

The people can seat themselves in 20160 different ways.

Step-by-step explanation:

Arrangements of n elements:

The number of arrangements of n elements is given by the following formula:

[tex]A_{n} = n![/tex]

In this question:

For the first seat, that is, the driver seat, 4 possible people can sit.

For the remaining 7 seats, the number of ways in which the people can sit is an arrangement of 7 elements. So

[tex]T = 4*7! = 4*5040 = 20160[/tex]

The people can seat themselves in 20160 different ways.

Answer:

16

Step-by-step explanation:

Arrange date in order

3,5,8,12,15,16,20

find median  in this case its 12 also khown as 2nd quartile know  find the themedian of data that is on the right right of median or 2nd Quartiles  That will be the 3rd quartile...

Answer:

to eat a healthier meal

Step-by-step explanation:

hope this helps :)

plz give me brainlist

Answer:

C

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer: 66ft

Step-by-step explanation:

9 x 5 = 45 + 7 x 3 = 21

45+21=66

Answer:

I am pretty sure it is 66 ft

Step-by-step explanation:

If u just do the top 2x3= 6 and then u multiply 5x12=60 then you add 6 and 60 which is 66

Answer:

area = 10 squares units

if points changes

Answer:

∠DAB = 133°

Step-by-step explanation:

Given - Quadrilateral ABCD is a parallelogram. ∠D = 3x + 17, ∠B = 5x - 3

To find - What is the measure of ∠DAB?

Proof -

We know that In a parallelogram, opposite angles are equal.

So, ∠A = ∠C and ∠B = ∠D

Now,

As ∠B = ∠D

⇒3x + 17 = 5x - 3

⇒17 + 3 = 5x - 3x

⇒20 = 2x

⇒x = 10

So,

∠B = 5(10) - 3 = 50 - 3 = 47

⇒∠B = 47°

Also, we know that

∠A + ∠B = 180°

⇒∠A = 180° - ∠B

⇒∠A = 180° - 47° = 133°

⇒∠A = 133°

⇒∠DAB = 133°

Answer:

The 2nd one

Step-by-step explanation:

Answer:

b

Step-by-step explanation:

because when you work it out it becomes that,

 have a spectacular day

Answer:

1. 17.6

2. 8.8

3. 4.79

4. 3.92

Answer:

33: 17.6

34: 8.8

35: 4.79

36: 3.92

Step-by-step explanation:

Please note that threatening people isn't the best way to get them to help! Thx!

Answer:

-6x-5

Step-by-step explanation:

(2x - 3)2 + 5(3 - 2x) - 14​

Distribute

2x*2 -3*2 +5*3 -5*2x -14

4x -6 +15 -10x -14

Combine like terms

4x -10x   -6 +15-14

-6x                 -5

Answer:

k = 5/2

Step-by-step explanation:

.....................

Answer:

.20

Step-by-step explanation:

According to what are written in the table the probability for x=-10 is .20

The probability distribution  at x= -10 is 0.20.

A mathematical function called a probability distribution explains the likelihood of many alternative values for a variable. Graphs or probability tables are frequently used to represent probability distributions.

Given:

We have table as,

x                  -10    -5      0      5      10    15     20

Probability 0.20 0.15 0.05 0.10 0.25 0.10 0.15

So , we have to find probability that x = -10 then by looking at table the corresponding value to x= -10 the probability is 0.20.

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Step-by-step explanation:

Pythagorean Theorem

a^2+b^2=c^2

8^2+15^2=c^2

64+225=c^2

289=c^2

Now square both sides

x=17

Answer:

x = 17

Step-by-step explanation:

[tex]c^{2} = a^{2} + b^{2}[/tex]

[tex]c^{2} = 8^{2} + 15^{2}[/tex]

[tex]c^{2} = 64 + 225[/tex]

[tex]c^{2} = 289[/tex]

[tex]\sqrt{c^2} = \sqrt{289}[/tex]

[tex]c = 17[/tex]

Answer:

zjzjzjznnznzkznnznzidddx

Answer:

3.56

Step-by-step explanation:

just did it on delta math

Answer:

0.20

Step-by-step explanation:

8 divided by 40 equals 0.2

0.20 is the decimal is equivalent to 8/40.

A group of numbers between integers on a number line are known as decimals. They are merely an additional mathematical representation of fractions. Decimals allow us to express measurable quantities like length, weight, distance, money, etc. with greater accuracy. Integers, also known as whole numbers, are represented to the left of the decimal point, while decimal fractions are represented to the right of the decimal point. The next place, which is (1/10)th or tenth place value, is (1/10) times smaller if we move immediately from the first place.

Given:

Fraction = 8/40

Now, simplifying the given fraction

8/40

= 8/( 8x 5)

= 1/5

=0.20

Hence, 0.20 is the decimal is equivalent to 8/40.

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Answer:

7) =41 (5) Angle one is 154 and Angle two is 26 or atleast what it should be

Step-by-step explanation:A complementary angle is 90 degrees in total,so you do 90-49=41. I do not know about question 6 tho.

Answer:

81 Degrees

Step-by-step explanation:

The triangles are congruent and a triangle is 180 degrees total. So, 57+42=99. 180-99=81

So the answer is 81 degrees.

250 ÷5 = 50

$50

Hope this helps!

Answer:

6

Step-by-step explanation:

Answer:

Step-by-step explanation:

Let the equation of the line 'a' is,

y = mx + c

Here, m = slope of the line

c = y-intercept

For line 'a',

Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

m = [tex]\frac{10}{16}[/tex]

m = [tex]\frac{5}{8}[/tex]

y-intercept = 20

Therefore, equation of the line 'a' is,

y = [tex]\frac{5}{8}x+20[/tex]

Similarly, equation of the line 'b' is,

y = m'x + c'

Slope of the line = [tex]\frac{\text{Rise}}{\text{Run}}[/tex]

m' = [tex]\frac{20}{16}[/tex]

m' = [tex]\frac{5}{4}[/tex]

y-intercept = 0

Therefore, equation of the line is 'b' is,

y = [tex]\frac{5}{4}x[/tex]

1). Line 'b' represents a proportional relationship → FALSE

2). The constant of proportionality of y to x for line 'a' is [tex]\frac{1}{2}[/tex] → FALSE

3). The ratio of y-coordinate to x-coordinate of one of the points on line b is 25 : 8 → FALSE

4). let a passes through the point [tex](1,\frac{5}{4})[/tex] so the constant of proportionality is [tex]\frac{5}{4}[/tex] → TRUE

Answer:Parts of the Arctic have 21 hours of daylight each summer day. What fraction of the day is dark? Show your work. Write your answer in lowest

terms.

Step-by-step explanation: 24 hours

Day Length. Day length varies with the time of year and the latitude at which you are situated. Because of the earth's tilt, areas above the Arctic Circle receive 24 hours of sunlight each summer, but 24 hours of darkness each winter.