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3 years ago

Find a positive angle less than one revolution around the unit circle that is co-terminal with the given angle: 52pi/5

2 answers:

7 0

We know that
Two angles are said to be co-terminal if they have the same initial side and 
the same terminal side.

(52π/5)-----> 10.4π
so
(52π/5)-5*2π------> (2π/5)

the answer is
the positive angle less than one revolution around the unit circle that is co-terminal with angle of 52π/5 is 2π/5

cluponka [151]3 years ago

3 0

Answer:

72°

Step-by-step explanation:

Given angle = $\dfrac{52\pi}{5}$

we know, $\pi=180^\circ$

so, given angle = $\dfrac{52}{5} \times 180 = 1872^\circ$

Also, one complete revolution = 360°

we can write the given angle as

1872° = 5 x 360° + 72°

So, the given angle is the sum of five complete revolutions (1800°) and 72°

Therefore, positive angle less than one revolution around the unit circle that is co-terminal with the given angle is 72°.

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Ted and Jude are each saving money each month. After x months, the amount of money, in dollars, that Ted has saved is represente

Nadusha1986 [10]

Answer:

True Statements are -

B. In 3 months, Ted will have saved the same amount that Jude saved in 2 months.

D. The total amount of money Jude has saved is always $20 more than the total amount Ted has saved.

Step-by-step explanation:

Given - Ted and Jude are each saving money each month. After x months, the amount of money, in dollars, that Ted has saved is represented by the

equation T = 40x, and the amount of money that Jude has saved is represented by the equation J = 60x.

To find - Choose all of the statements that are true.

A. Each month, Jude saves two-thirds as much money as Ted saves.

B. In 3 months, Ted will have saved the same amount that Jude saved in 2 months.

C. The amount of money Jude saves each month is $20 more than the amount Ted saves each month.

D. The total amount of money Jude has saved is always $20 more than the total amount Ted has saved.

Proof -

Given that,

After x months,

Ted saved the amount of money, T(x) = 40x

Jude saved the amount of money, J(x) = 60x

Now,

In 1 month,

Ted saved money, T(1) = 40(1) = 40

Jude saved money, J(1) = 60(1) = 60

So,

In 1st month, Jude saved money 20 more than Ted saved.

Now,

In 2 month,

Ted saved money, T(2) = 40(2) = 80

Jude saved money, J(2) = 60(2) = 120

So,

In 2nd month, Jude saved money 40 more than Ted saved.

Now,

In 3 month,

Ted saved money, T(3) = 40(3) = 120

Jude saved money, J(3) = 60(3) = 180

So,

In 3rd month, Jude saved money 60 more than Ted saved.

So,

Option C is incorrect

Because

In 1st month, Jude saves is $20 more than the amount Ted saves

In 2nd month, Jude saves is $40 more than the amount Ted saves

Now,

In 1st month,

Ted saves = 40

and

$\frac{2}{3}(40)$ = 26.67

So, Jude will save = 40 + 26.67 = 66.67

But Jude saves 60

So,

Option A is incorrect.

i.e. A. Each month, Jude saves two-thirds as much money as Ted saves.

Now,

We can see that,

In 3 months, Ted will have saved the money = 120

In 2 months, Jude will have saved the money = 120

So,

Option B is correct.

i.e. B. In 3 months, Ted will have saved the same amount that Jude saved in 2 months.

Also,

We can see that

In 1st month, Jude saved money 20 more than Ted saved.

In 2nd month, Jude saved money 40 more than Ted saved.

In 3rd month, Jude saved money 60 more than Ted saved.

So,

Option D is correct.

i.e. D. The total amount of money Jude has saved is always $20 more than the total amount Ted has saved.

∴ we get

True Statements are -

B. In 3 months, Ted will have saved the same amount that Jude saved in 2 months.

D. The total amount of money Jude has saved is always $20 more than the total amount Ted has saved.

7 0

2 years ago

Which is equal to (2x − 3y + 5z) − (−4x − y + 8z)?

Fittoniya [83]

(2x - 3y + 5z) - (-4x - y + 8z)
= 2x - 3y + 5z + 4x + y - 8z
= 6x - 2y - 3z

In short, Your Answer would be Option D

Hope this helps!

8 0

3 years ago

If 18.9 million computers were in use in 1980 and the number is rising by 19% annually, predict the number of computers in use i

4vir4ik [10]

18.9(1+0.19)^35, 35 is the number of years
use your calculator, you should get 661.5, round to the newest whole number 662million

4 0

2 years ago

EMERGENCY PLEASE HELP STRUGGLING! The triangles in each pair are similar.

Ludmilka [50]

Answer: The missing length is 120 {option C}

Step-by-step explanation: What we have in the question is a triangle placed on top of another triangle and as shown in the attached diagram we can separate them into triangles BFC and GFH.

A close observation shows that line BC is parallel to line GH. Hence we have two similar triangles, and we can determine their similarity ratios as follows;

BF/FC = GF/FH

Similarly BF/BC = GF/GH

We can also express the following ratio

FC/FH = BC/GH

Therefore to calculate the missing side, which is GF, we can use the ratio

FC/FH = FB/FG

30/100 = 36/FG

By cross multiplication we now have 30 (FG) = 100 (36)

30FG = 3600

Divide both sides of the equation by 30

FG = 120

5 0

2 years ago

The diagram represents the process of enlarging a rectangle using a scale factor of 3. The width of the original rectangle must

yaroslaw [1]

The figure is not attached. So we will assume a rectangle that has sides of lengths 2 cm and width 3 cm and It is enlarged with scale factor 3.

The width of the original rectangle must be one-third of the enlarged rectangle.

The lengths of the sides of the enlarged rectangle will be:
3 × 2 cm = 6 cm (Length)
3 × 3 cm = 9 cm (Width)

7 0

3 years ago

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