hello me again, answer this question, please show work

Thee intersection point of the terminal side which measure the angle pi/6 radians  is (0.886, 0.5).

A circle is a special type of ellipse in which the eccentricity is zero and the two foci are coincident.

The distance from the center to the circumference is called the radius of the circle.

Given that  the terminal side of an angle measuring π/6 radians.

The coordinate point on the circle has to be find out It is known that, the formula for the coordinate is given by

x = r cos∅   and y = r sin∅

Let the r be unity.

Then, x will be

[tex]x=\frac{\pi }{6} \\x=cos(\frac{\pi }{6}) \\\x=0.866[/tex]

The variable y will be

[tex]y=sin\frac{\pi }{6}[/tex]

y=0.5

Thus, the intersection point is (0.886, 0.5).

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[tex]\qquad\qquad\huge\underline{{\sf Answer}}♨[/tex]

Let's find the Radius ~

[tex]\qquad \sf  \dashrightarrow \: area = \frac{ \theta}{360} \times \pi {r}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: 80= \frac{ 72}{360} \times \pi {r}^{2} [/tex]

[tex]\qquad \sf  \dashrightarrow \: {r}^{2} = \frac{80 \times 360}{72 \times \pi} [/tex]

[tex]\qquad \sf  \dashrightarrow \: {r}^{2} = \frac{80 \times 5}{ \pi} [/tex]

[tex]\qquad \sf  \dashrightarrow \: {r}^{} = \sqrt\frac{400}{ \pi} [/tex]

[tex]\qquad \sf  \dashrightarrow \:r = \frac{20}{ \sqrt{\pi} } [/tex]

or

[tex]\qquad \sf  \dashrightarrow \:r \approx 11.28 \: ft[/tex]

I hope you understood the whole procedure, let me know if you have doubts ~

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Answer:

D

Step-by-step explanation:

C666666666666666666666

Answer:

Total floor: 150 sq ft = $450

Wall and Ceiling: 550 sq ft = $60

Total cost $510

Step-by-step explanation:

Floor: 15 sq ft * 10 sq ft (L * W) = 150 sq ft

150 sq ft * $3 = $450

Walls: 2(H * L) = 2(8*15) = 240 sq ft

2(H * W) = 2(8*10) = 160

Total walls sq ft = 400 sq ft

Ceiling is same as floor = 150 sq ft

Total sq ft painted = 550 sq ft

550 sq ft / 275 sq ft (covered per paint) = 2 paints = $60

$450 floor + $60 paint = $ 510

Answer:

$510

Step-by-step explanation:

The floor of the room measures 15 ft in length and 10 ft in width.

The area of the floor is length × width = 15 ft × 10 ft = 150 ft².

The hardwood costs $3/ft².

The cost of the hardwood is: $3/ft² × 150 ft² = $450

The area of the walls is the lateral surface area of the rectangular prism.

The lateral surface area of the rectangular prism is the perimeter of the base times the height.

perimeter of the base = 15 ft + 15 ft + 10 ft + 10 ft = 50 ft

height = 8 ft

lateral area = total area of the walls = perimeter × height = 50 ft × 8 ft = 400 ft²

The paint costs $30/(275 ft²).

She needs to paint 400 ft².

400 ft² / 275 ft² = 1.45

She needs 1.45 containers of paint, but she must buy full containers of paint, so she must buy 2 containers since 1 container is not enough.

Cost of paint: 2 × $30 = 60

Total cost of hardwood and paint = $450 + $60 = $510

Answer:

2x1 mabe

Step-by-step explanation:

im just doing that because they are next to eatch other but im in 6 grade so if i get it wrong dont blame me

Andre's account after t years is [tex]V_h=538.45(1.025)^t[/tex] since is option C.

The Amount accumulated at the end of a interest year is the sum of the principla amount and the interest gained on the principal amount.

As Andres start the savings account after 3 years so, the equation representing the value of Andre's account after t years is-[tex]v_h=500(1.025)^{t-3}[/tex].

Also, the amount accumulated in the mean 3 years will be-

[tex]A=500(1.025)^3[/tex]

=$538.45

Hence, another way of writing the equation representing the value of Andre's account after t years is-[tex]V_h=538.45(1.025)^t[/tex]

As a result, option C is the correct answer.

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Answer:

it should be (2.8,-1.7) hope it helps

the answer is a i hope this helps

Step-by-step explanation:

hope this helps

Answer:

A and C

Step-by-step explanation:

Both A and C are the same shape, same size, but C is flipped over. If you were to cut out the two shapes and put them over one another, they would be the same. You can also count the blocks that are in the shape itself to see if they match.

The longer side on both has 2.5 blocks in it, the side is two blocks tall, and the smaller line has 1.5 of the block shown.

I'll will implement a sketch to show you what I mean and submit it here. Look at it if you are still confused

I hope this helps!

-No one

102 is what percent of 120? = 85.

Answer:

122.4

Step-by-step explanation:

this is easy, all we need to do is multiply 120 by 1.02, since it is 2%, and it is increasing not decreasing. when we do that, we get 122.4. to check, you can also do .02x120, to get 2.4. please mark as brainlest.

Step-by-step explanation:

1-(a)

2-(c)

3-(d)

4-(b)

I hope it helped you

If u didn't understand anything pls ask in comment

Answer:

12

Step-by-step explanation:

it would be 12 if it is unknown so 12 because y and x are used for unknown numbers.

i hope i got it right just tell me if this is wrong, please

The expression for the smaller number is q = x - 4

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

Let the greater number be p = x

Let the smaller number be q

If the greater number is x, then the other number must be 4 less than x.

We can express this algebraically as:

On simplifying the equation , we get

q = x - 4

Hence , the other number is x - 4.

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Answer:

C. 200 hours

Step-by-step explanation:

According to the given Question ,

It means that the aeroplane covers 400 miles in 60 minutes.

and it is asked for 30 minutes , so

We know that 30 minutes is equal to 0.5 hours

By the formula ,

Distance = Speed × Time

putting the values given , we get

= 400×0.5

Distance = 200 miles

Answer:

3 feet by 7 feet

Step-by-step explanation:

perimeter = 20 feet

area = 21 feet²

If the desk is a rectangle:

perimeter = 2l + 2w = 2 (l+w) = 20

                                    2 (l+w) = 20 , divide both sides by 2

                                          l+w = 10

area = l · w = 21

What numbers we know that have sum as 10 and their product as 21?

l + w = 10

l · w = 21

factors of 21 are 1,3,7

3+7 = 10

3 ·7 = 21

The dimensions of the desk could be 3 feet by 7 feet.

Answer:

x = 46°

Step-by-step explanation:

the opposite angles of a cyclic quadrilateral are supplementary, sum to 180° , then

x + 134° = 180° ( subtract 134° from both sides )

x = 46°

Answer:

i think it B

Step-by-step explanation:

Answer:

c. 4/5

Step-by-step explanation:

Answer:

4 1/14

Step-by-step explanation:

1 5/14 x 3 = 4 1/14

Answer:

4 1/14 pages

Step-by-step explanation:

multiply 1 5/14 by 3

start by multiplying 1 by 3 which is 3

then multiply 5/14 by 3, you just have to multiply the 5 and you get 15/14 which is 1 1/14

add 3 and 1 1/14 and you get 4 1/14

Answer:

504

Step-by-step explanation:

40%=.40

360*.40=144

original number + increase = x

360+144=504

Answer: 7 more than 2 times a number

Step-by-step explanation:

To describe 2m it would by 2 times m since it is multiplication

When describing a variable simply call it a number

Now we have "2 times a number", but we still need to incorporate the +7

To represent +7 we can say "7 more" since that represents addition

So we end up with "7 more than 2 times a number"

Answer:

2 times m + 7

Step-by-step explanation:

2 is the coeficient

m is the y additive

The number of dolls Jacky is 50 and the number of dolls Peter is 20. Then the total number of dolls is 70.

A ratio is an ordered couple of numbers a and b, written as a/b where b can not equal 0. A proportion is an equation in which two ratios are set equal to each other.

The ratio of the number of dolls Jacky had to the number of dolls Peter had was 5: 2.

[tex]\rm \dfrac{x}{y}=\dfrac{5}{2}[/tex]

Let the number of dolls Jacky be x and the number of dolls Peter be y.

But, after Jacky gave 15 dolls to Peter, they have an equal number of dolls. Then we have

x - 15 = y + 15

     x = y + 30

Then we have

[tex]\begin{aligned} \rm \dfrac{y+30}{y} &=\dfrac{5}{2}\\\\2y + 60 &= 5y \\\\3y &= 60 \\\\y &= 20 \end{aligned}[/tex]

Then x will be

x = y + 30

x = 20 + 30

x = 50

Then the total number of dolls they have altogether will be 70.

More about the ratio and the proportion link is given below.

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Answer:

70

Step-by-step explanation:

BECAUSE

Answer:

It's 10(10+3)

Step-by-step explanation:

10x10 is 100 and 3x10 is 30 which gives you 100+30

Answer:

a) 10(10 + 3)

Step-by-step explanation:

Which expresison is equivalent to 100 + 30 (130)?

a) 10(10 + 3)

10(10) + 10(3)

100 + 30 <== equivalent

130

b) 10(10 + 2)

10(10) + 10(2)

100 + 20 <== NOT equivalent

120

c) 5(20 + 25)

5(20) + 5(25)

100 + 125 <== NOT equivalent

225

d) 10(10 + 4)

10(10) + 10(4)

100 + 40 <== NOT equivalent

140

Therefore, the correct answer is 10(10 + 3)

Hope this helps!

Answer:

k= -5

Step-by-step explanation:

The equation for slope is rise over run which is also (y2-y1)/(x2-x1)

with the given coordinate being (x,y)

So, we just plug the given values into the equation in order to solve for k.

(9-k)/(-6-1)= -2

First let's simplify the denominator:

(9-k)/(-7)= -2

then we get rid of the denominator by multiplying it on both sides:

(9-k)= (-7)*(-2)

(9-k) = 14

-k = 5

k=-5

Answer:

14,085m³

Step-by-step explanation:

9*5*13

9*5=45

45*313=14,085

14,085

Answer:

⊕ y=2x+4

Step-by-step explanation:

1) all the answers are provided in slope-interception form, then

2) the slope of the required line is: (12-8)/(4-2)=2. The required line is like to y=2x+??;

3) if the points (2;8) and (4;12) belong to the line required, then the point (0;4) also belongs to this one. It means, the interception is 4;

4) finally, the line required is y=2x+4.

PS. note, the suggested solution is not the only way.

Answer:

1 foot

Step-by-step explanation:

you multiply 5 1/4 inches by two, you would get 10 1/2 inches. if 2 inches equals 1 foot then 5 inches would equal 10 inches and 1/4 would equal 1/2. If you put those numbers together, you get 10 1/2 inches. Therefore the answer is 2 inches = 1 foot. 

Answer:

The correct answer is "the term number, n."

Step-by-step explanation:

Answer:

Step-by-step explanation:

on edge!! dear student... you got this.. don't procrastinate and more importantly don't doubt yourself. You CAN and WILL make it to 100%

Answer:

f=9

Step-by-step explanation:

f+5=323f+5=32

We move all terms to the left:

3f+5-(323f+5)=0

We get rid of parentheses

3f-323f-5+5=0

We add all the numbers together, and all the variables

-320f=0

f=0/-320

f=9

Answer:

9

Step-by-step explanation:

The parabolic motion is an illustration of a quadratic function

The equation that models that path of the rocket is y = -16/31x^2 + 256/31x - 880/31

Given that:

x stands for time and y stands for height in feet

So, we have the following coordinate points

(x,y) = (5,0), (11,0) and (10,80)

A parabolic motion is represented as:

y =ax^2 + bx + c

At (5,0), we have:

25a + 5b + c = 0

c= -25a - 5b

At (11,0), we have:

121a + 11b + c = 0

Substitute c= -25a - 5b

121a + 11b -25a - 5b = 0

Simpify

96a + 6b = 0

At (10,80), we have:

100a + 10b + c = 80

Substitute c= -25a - 5b

100a + 10b - 25a -5b = 80

75a -5b = 80

Divide through by 5

15a -b = 16

Make b the subject

b = 15a + 16

Substitute b = 15a + 16 in 96a + 6b = 0

96a + 6(15a + 16) = 0

Expand

96a + 90a + 96 = 0

This gives

186a = -96

Solve for a

a = -16/31

Recall that:

b = 15a + 16

So, we have:

b = -15 * 16/31 + 16

b =-240/31 + 16

Take LCM

b =(-240 + 31 * 16)/31

[tex]b =256/31

Also, we have:

c= -25a - 5b

This gives

c= 25*16/31 - 5 * 256/31

Take LCM

c= -880/31

Recall that:

y =ax^2 + bx + c

This gives

y = -16/31x^2 + 256/31x - 880/31

Hence, the equation that models that path of the rocket is y = -16/31x^2 + 256/31x - 880/31

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