The sun of interior angles of a regular polygon is 1260°.Calculate the number of sides of the polygon and the size of each exterior angle.

Number 6 is B. And Number 7 is C

Answer: The answer of number 6 is D. The answer of number 7 is D.

Step-by-step explanation:

For number 6, y=110° because they are vertical angles. x=y=70°=180°-110°

For number 7, 180°-63°=117°=a

Answer:

[tex] \displaystyle {r}^{} = 6[/tex]

Step-by-step explanation:

remember that,

[tex] \displaystyle V _{ \rm sphere} = \frac{4}{3} \pi {r}^{3} [/tex]

given that,

thus substitute:

[tex] \displaystyle \frac{4}{3} \pi {r}^{3} = 288\pi[/tex]

divide both sides by 4/3π:

[tex] \displaystyle {r}^{3} = 216[/tex]

cubic root both sides:

[tex] \displaystyle {r}^{} = 6[/tex]

and we are done!

Answer:

C

Step-by-step explanation:

Find the graph that shows temperatures decreasing. Two of the graphs show that it's decreasing; C and D. When something is in a constant rate, it is going to be a straight line (doesn't mean it can't be slanted!). Therefore it is C.

Answer:

c

Step-by-step explanation:

i dont know how to explain it but yeah

Answer:

c

Step-by-step explanation:

Answer:

29/56

Step-by-step explanation:

Here we're combining two fractions of different denominators, 7 and 8.  The LCD is the product of 7 and 8:  56.

1/7 is rewritten as 8/56 and 3/8 as 21/56.

Summing these up, we get 29/56

Answer:

12 months

Step-by-step explanation:

community gym = 50 + 50x

workout gym = 170 + 40x

you need to find out how many months it will take for them to be equal, so:

50+50x = 170+40x

solve for x

10x = 120

x = 12

after 12 months, they will cost the same

Rewrite 50% as a decimal : 0.50

Multiply the price by 0.50:

18 x 0.50 = 9

The sale price is $9

Answer:

$9

Step-by-step explanation:

price of an item=$18

discount=50%

sale price =? (be x)

sale price= original price -discount% of original price

x=$18 -50/100 * $18

x=$1800-$900/100

=$900/100

=$9

therefore sale price of an item is $9.

Answer:

22

Step-by-step explanation:

number of gum = x

number of candy bar = y

0.54x + 0.88y = 26.38

x + y = 35

         0.54x + 0.88y = 26.38

(+)      -0.54x - 0.54y = -18.9

-----------------------------------------

                       0.34y = 7.48

y = 7.48/0.34

y = 22

Answer: 22

The number of the gum is 13 and the number of the candy will be 22.

A linear system is one in which the parameter in the equation has a degree of one. It might have one, two, or even more variables.

Jane and Sophia went to the corner store where packages of gum cost 54¢ each and candy bars cost 88¢ each.

They spent $26.38 total and bought 35 items total.

Let x be the number of the gum and y be the number of the candy.

Then the equation will be

x + y = 35 ...1

0.54x + 0.88y = 26.38 ...2

By solving the equations 1 and 2, then we have

x = 13 and y = 22

Then the number of the gum is 13 and the number of the candy will be 22.

More about the linear system link is given below.

https://brainly.com/question/20379472

#SPJ2

Answer:

logx=120

Step-by-step explanation:

Answer:

it will be 603.00

it will. e counted from the right to the left

Step-by-step explanation:

maybe this can help you with your problem

a) The exact value of tan 60 degree is [tex]\sqrt{3}[/tex].

b) The value of h in the given triangle is √3.

c) The area of the given triangle is 24[tex]\sqrt{3}[/tex].

The tangent of an angle is the ratio of the length of the opposite side to the length of the adjacent side.

The value of tan 60 degree is [tex]\sqrt{3}[/tex].

[tex]Area = \frac{1}{2}bh[/tex]

Where,

b is the base of the triangle.

h is the height of the triangle.

a) Since, the value of tan60 degree is [tex]\sqrt{3}[/tex].

Hence, the exact value of tan 60 degree is [tex]\sqrt{3}[/tex].

b). According to the given question, we have a right angled triangle in which

The length of the adjacent side w.r.t angle 60 degrees is [tex]4\sqrt{3}[/tex].

And, the length of the opposite side w.r.t angle 60 degrees is h.

Therefore, the value of h in the given triangle is given by

[tex]tan60 = \frac{h}{4\sqrt{3} }[/tex]

⇒[tex]\sqrt{3} =\frac{h}{4\sqrt{3} }[/tex]                   (because tan60=√3)

⇒[tex]h=4\sqrt{3} \sqrt{3}[/tex]

⇒[tex]h = 12[/tex]

Hence, the value of h in the given triangle is √3.

c) For the given triangle

Length of base = 4[tex]\sqrt{3}[/tex] unit.

And, the height of the given triangle is 12 unit.

The area of the given triangle is given by

[tex]Area = \frac{1}{2} (4\sqrt{3} )(12)[/tex]

⇒[tex]Area =24\sqrt{3}[/tex]

Hence, the area of the given triangle is 24[tex]\sqrt{3}[/tex].

Learn more about tangent of an angle and area of a triangle here:

https://brainly.com/question/15110994

#SPJ2

Answer:

Domain: x is greater than or equal to 0

Range: y is greater than or equal to -5

So the answer for domain is e.

And the answer for range is a.

Answer: 2

Step-by-step explanation:

3x+4y=10

3x+4(x-1)=10

3x+4x-4=10

7x-4=10

Add 4 to both sides

7x=14

x=2

Answer:(2,1)

Step-by-step explanation:ap3x beans

Answer:

9x²+42x+49

Step-by-step explanation:

that is not the correct way to foil.

the correct way would be (3x+7)²= (3x+7)(3x+7)

simplifying that would give us 9x²+42x+49

his mistake was multiplying wrong because he did not foil

Answer:

[tex](x-1)^2 + (y-1)^2 = 10[/tex]

Step-by-step explanation:

From the graph ,

Centre of the circle is (1, 1)

To find radius we find a point through which the circle passes and find the distance between the Centre and the point.

Let that point be (4, 0)

[tex]radius = \sqrt{(x_2 - x_1)^2 + (y_2-y_1)^2} = \sqrt{(1-4)^2 + (1-0)^2} = \sqrt{10}[/tex]

Equation of the circle :

[tex](x - a)^2 + (y-b)^2 = r^2 \ , \ where \ (a,b)\ is\ the\ centre\ of\ the\ circle\ and\ r\ is\ the\ radius\\\\(x-1)^2 + (y-1)^2 = 10[/tex]

Answer: 1.67 mph

Step-by-step explanation:

Given

Sam walk one-third of a mile in 12 minutes

There is 60 minutes in an hour i.e. Sam take

[tex]\Rightarrow t=\dfrac{12}{60}\\\\\Rightarrow t=0.2\ hr[/tex]

Average speed is given by

[tex]\Rightarrow v_{avg}=\dfrac{\text{distance}}{\text{time taken}}\\\\\Rightarrow v_{avg}=\dfrac{\frac{1}{3}}{0.2}\\\\\Rightarrow v_{avg}=\dfrac{5}{3}\ \text{or}\ 1.67\ mph[/tex]

Answer:

12? 10 + d = 15 so d = 5.

Step-by-step explanation:

Answer:

d = 5

Step-by-step explanation:

The common difference d is the difference between consecutive terms, then

d = a₁₂ - a₁₁ = 15 - 10 = 5

Answer:

184 m²

Step-by-step explanation:

Surface Area = 2(10*2) + 2(10*6) + 2(2*6)

Surface Area = 2(20 + 60 + 12)

Surface Area = 2(92)

Surface Area = 184 m²

If my answer is incorrect, pls correct me!

If you like my answer and explanation, mark me as brainliest!

-Chetan K

Answer:

im in ur math class dawg lol

Step-by-step explanation:

Step-by-step explanation:

The y intercept is when x=0 what is the y value.

When x=0, the y intercept is 1.

b. A gradient is the slope of the line. We need to find the rise and run of the line between two points.

Let use points 0,1 and 1,3

Our y values rise by 2 values and our x values change by 1 value so our slope is

[tex] \frac{2}{1} = 2[/tex]

Answer:

a. At the y-intercept,x=0

This implies the y-intercept=1

b. Taking points (0,1) and (1,3), the gradient of the line is given by (3-1)/(1-0) =2/1 =2

Answer:

40% markup means the scale price is 1.40 times the cost. 1.40 ($20) = $28

Step-by-step explanation:

multiple the price by 1.40

hopefully this helped :)

Answer:

$28

Step-by-step explanation:

We can split this problem into two parts: the original price of the CD set and the 40% extra. We already know the original price of the CD set, so we just need to find the 40% extra. Let's convert 40% to a decimal instead of a percentage. We can do this by dividing by 100.

40/100 = 0.4.

Next, we multiply 20 by 0.4 to find the extra price:

20 * 0.4 = 8

So, the answer is 20 + 8 = $28

We can skip the step of adding the two items together by saying the CD set sells for 140% the original price. 20 * 1.4 = $28

Hope this answer helps you :)

Have a great day

Mark brainliest

Answer:

sometimes

Step-by-step explanation:

Answer:

AB = 8.66 m

Step-by-step explanation:

Here, we want to get the length AB

What we have is a right triangle

so to get the length AB, we are going to use the appropriate trigonometric ratio

From the question, AB faces the given angle and that makes it the opposite

AC faces the right angle and that makes it the hypotenuse

The relationship between the hypotenuse and the opposite can be defined by the sine

the sine of an angle is the ratio of the length of the opposite to the hypotenuse

so, we have it that;

sine 60 = AB/10

AB = 10 * sine 60

AB = 8.66 m

Answer:

180cm^3

Step-by-step explanation:

All you have to do is multiply everything together to get the volume. l x w x h

Answer:

The answer is 180 cubic centimeters.

Step-by-step explanation:

To find the volume of the rectangular prism, use the formula V= LWH. Next, plug in the information given from the question, and the formula will look like V= (5cm) (4cm) (9cm).

Then, solve the equation for the answer, and the answer will be 180 cubic centimeters.

Answer:

r = 6cm

Step-by-step explanation:

The area of a circle is given by

A = pi r^2 where r is the radius

36 pi = pi r^2

Divide each side by pi

36 pi/pi = pi r^2/ pi

36 = r^2

Take the square root of each side

sqrt(36) = sqrt(r^2)

6 =r

The radius is 6 cm

r = 6cm

Answer:

radius, r = 6cm

Step-by-step explanation:

[tex]Area = 36 \pi \\\\\pi r^2 = 36 \pi\\r^2 = 36\\r = \sqrt{36} = 6 \ cm[/tex]

Answer:

1st option

Step-by-step explanation:

Solving the inequality

5.25 - b ≥ 6.5 ( subtract 5.25 from both sides )

- b ≥ 1.25

Divide both sides by - 1, reversing the symbol as a result of dividing by a negative quantity.

b ≤ - 1.25

Since less than or equal to the number line will have a solid circle at - 1.25 and the arrow pointing left.

The solution is represented on the first diagram