If the sum of the interior angles of a polygon is 4680°, how many sides does the polygon have?

Answer:

Please check explanations

Step-by-step explanation:

Mathematically;

csc 2 theta = 1 / sin 2 theta

Sin 2 theta = sin (theta + theta)

= 2sin theta cos theta

So therefore;

csc 2 theta = 1/2(sin theta cos theta)

= 1/2 * 1/sin theta * 1/ cos theta

1/sin theta = csc theta

1/cos theta = sec theta

Thus;

csc 2 theta = 1/2 * csc theta * sec theta

csc 2 theta = 1/2 sec theta csc theta

Answer:

I think the answer to the question is C

Answer:

A

Step-by-step explanation:

The sign means that x is smaller than 3. There is no need for the line underneath since the dot is not filled in.

Answer:

96

Step-by-step explanation:

First we can express in numbers how many students are freshman :

(28:100)=0.28 (percent into integer)

Then we multiply this number with 1600

1600*0.28=448 (this is the number of freshman)

Now we do it again with the number of juniors

(22:100)=0.22

1600*0.22= 352

Now we only subtraction these two numbers

448-352= 96

So we now know that there is 96 more freshmens than juniors

Answer:

_______Y=0.75X-2_______

Answer: 6 in.

Step-by-step explanation:

Hope this helped! :)

Answer:

6 ft

Step-by-step explanation:

The cube root of 216 is 6. So 6x6x6 = 216. A cube has all equal sides resulting in the length, 6 ft.

Step-by-step explanation:

First one is -12

Second one is -29

Answer:

C

Step-by-step explanation:

two side and one angle are the same.

Answer:

I thinks it 3/10

Step-by-step explanation:

m=slope, so use the formula m=y2-y1/x2-x1 you get 3/10.

Hope this helps!

Answer:

6 weeks

Step-by-step explanation:

Given that :

Nikki :

Initial amount = $1100 ;

Amount spent per week = $35

Mich:

Initial amount = $520

Amount saved per week = $55

Number of weeks they'll both have the same amount :

Let number of weeks = w

For Nikki who is spending :

1100 - 35w - - - (1)

For Mich who is saving :

520 + 55w - - - (2)

Equate (1) and (2)

1100 - 35w = 520 + 55w

1100 - 520 = 55w + 35w

580 = 90w

w = 580 / 90

w = 6.444

About 6 weeks

Given:

The triangle PQR on a coordinate plane.

To find:

The image of point Q after a rotation of 90° counterclockwise about the origin.

Solution:

From the given graph, it is clear that the coordinates of point Q are (5,0).

If the figure is rotated 90° counterclockwise about the origin, then the rule of rotation is defined as

[tex](x,y)\to (-y,x)[/tex]

Using this rule, we get

[tex]Q(5,0)\to Q'(-(0),5)[/tex]

[tex]Q(5,0)\to Q'(0,5)[/tex]

So, the image of point Q is (0,5).

Therefore, the correct option is (a).

Answer:

This applies to ANY Equation

Step-by-step explanation:

Remove any grouping symbol such as brackets and parentheses by multiplying factors.

Use the exponent rule to remove grouping if the terms are containing exponents.

Combine the like terms by addition or subtraction.

Combine the constants.

Answer:

A choice.

Step-by-step explanation:

Irrational number is a number that cannot be written in a fraction form. All square roots are classified as an Irrational number unless can be evaluated to Rational number.

From A choice, you cannot evaluate the square root of 7 into any rational number. Therefore, it is an Irrational number.

B choice, even though there is a square root, but you can still evaluate from square root of 4 to 2.

For C and D, both are integers. Integers are classified to be Rational Number. Therefore, C and D both are rational.

Answer:

[tex]12 < 8 + x \\ 12 - 8 < x \\ 4 < x \\ \boxed{ x > 4}✓[/tex]

Answer:

The honey bee would go 38.85 feet if it was traveling at 10.5 feet per second for 3.7 seconds

Step-by-step explanation:

Take the speed the bee is flying (10.5) and times it by the time (3.7) and you get 38.85 which is the answer. 38.85 feet

A is the answer for this problem

Answer:

49, first option!

Step-by-step explanation:

Ok before we get started we need to know that: negative x negative is a negative.

1. Make them into improper fraction.

-35/3 x (-21/5)

2. Multiply.

-35/3 x (-21/5)=-35/3 x -21/5 = 735/15=49

Hope this helps :)

Answer:

6 pieces

Step-by-step explanation:

Total pieces of art = 120

He puts 5% of them in an art show

How many pieces of art dose Jason put in the art show ?

pieces of art dose Jason put in the art show = 5% of 120

= 5/100 × 120

= 0.05 × 120

= 6

Therefore, Jason put 6 pieces of art dose in the art show

Answer:

19.3 cm

Step-by-step explanation:

From the question given above, the following data were obtained:

Angle B = 71°

Adjacent = 6.3 cm

Hypothenus = BC =?

The length BC can be obtained by using cosine ratio. This is illustrated below:

Cos B = Adjacent / Hypothenus

Cos 71 = 6.3 / BC

0.3256 = 6.3 / BC

Cross multiply

0.3256 × BC = 6.3

Divide both side by 0.3256

BC = 6.3 / 0.3256

BC = 19.3 cm

Thus, Lenght of side BC is 19.3 cm

Answer:

-8/5

Step-by-step explanation:

Answer:

1over1 because it goes up by 1 and right by 1. u welcome

Answer:

the baking club made 8 pies

Step-by-step explanation:

80 (the total amount of peices) devided by 8 (the amount each is sliced into) is equal to 10

10 - 2(the two pies donated) = 8

the baking club baked 8 pies

Answer:

Slope: -1/2

Y-Intercept: (0,-3)

Step-by-step explanation:

y=mx + b

m is the slope, b is the y-intercept

Answer

The tool set costs $68 during the sale this week.

Explanation

We know that...

Normally the tool set costs $80.

During the sale, the tool set costs $12 less than usual.

So you should subtract to find the cost of the tool set during the sale.

80-12=68

So the tool set would cost $68 during the sale.

Answer:

Step-by-step explanation:

This is estimated, so I would draw a line-of-best-fit.

You need a point with a Y of 1800, so it would be located around halfway the two upper-points

It looks to be about 10C, but I'm in USA so I use bad Fahrenheit D:

Answer: 3:30 per gallon

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

Answer: 9 - 8n

A - B = -3n + 2 - (5n - 7) = -3n - 5n + 2 + 7 = 9 - 8n

Step-by-step explanation:

Step-by-step explanation:

The value of A-B would be: 2n-(-5)