What is the number of sides of a regular polygon whose exterior and interior angles are in the ratio 1:5?

Answer:

The depth of oil in the tin is 9cm

Step-by-step explanation:

The first thing we need to do here is to calculate the volume of the cylindrical tin.

Mathematically, that would be;

V = pi * r^2 * h

now, r = d/2 = 12/2 = 6cm

h = 14 cm

Thus the volume would be;

V = 22/7 * 14 * 6^2 = 1,584 cm^3

Now, to find the the depth of the tin, we have to realize that the content of the cylinder should fill in the tin to a particular height.

Now let’s say the height of the tin is x, this means its volume which is l * b * h = 16 * 11 * x = 176x

So the depth x would be;

176x = 1584

x = 1584/176 = 9 cm

Answer: 18:25

Step-by-step explanation:

Tuna : Salmon

180 : 250

18:25

Answer:

Step-by-step explanation:

87

Answer:

The answer is though, 8

Step-by-step explanation:

10/ x Is equal to 15/12

so it’s 8

hope this helps :))

Answer:

One solution

Step-by-step explanation:

By inspection, you can see that adding either 3x or 4x to y yields the same result of 7, meaning that x must be 0. If x is 0, y must be 7, meaning that this equation has only one solution. Hope this helps!

Answer:

Order from the greatest yield to the least as follows

1. Situation B=$2,119.8949

2. Situation A=$2,095.3078

3. Situation C=$2,022.7789

Step-by-step explanation:

Situation A

A=P(1+r/n)^nt

=500(1+0.12/12)^12*12

=500(1+0.01)^144

=500(1.01)^144

=500(4.1906155936008)

=$2,095.3078

Situation B

A=P(1+r/n)^nt

=500(1+0.1/4)^4*15

=500(1+0.025)^60

=500(1.025)^60

=500(4.3997897488150)

=$2119.8949

Situation C

A=P(1+r)^t

=500(1+0.15)^10

=500(1.15)^10

=500(4.0455577357079)

=$2022.7789

Order from the greatest yield to the least as follows

1. Situation B=$2,119.8949

2. Situation A=$2,095.3078

3. Situation C=$2,022.7789

Step-by-step explanation:

x³ - 4x = 0

x (x² - 4) = 0

x (x + 2) (x - 2) = 0

Thus the answer is (b) (-2 , 0) , (0 , 0) , (2 , 0)

Answer:

A1= 10×15=150

A2= 5²×3.14/2=39.3

so the A total is 150+39.3=189.3

Answer:

PD

Step-by-step explanation:

The answer is PD, just did this one. :)

Answer:

answer is d, pd

Step-by-step explanation:

answer 19-11+(-17)+(-19)+11= -17

Step-by-step explanation:

Answer:

465g

Step-by-step explanation:

Answer:

Step-by-step explanation:

This models the standard form of an exponential equation:

[tex]y=a(b)^x[/tex], where a is the intial value and b is the growth rate. The number in our function that holds position a is 1200. So the initial population is 1200.

Answer:

y = 2x or x = 1/2y or if you would like numerical values then x = 3, y = 6 and z=4

Step-by-step explanation:

x : y = 1 : 2

y : z = 3 : 2

If x : y = 1 : 2 then we know that 1y = 2x ∴ y = 2x or x = 1/2y

If y : z = 3 : 2 then we know that 3z = 2y ∴ z = 2/3y

Answer:

I think y is 2 as well as 3

Answer:

They sold 120 milkshakes.

Step-by-step explanation:

Answer:

250+20 = 270 cents or $2.70

Step-by-step explanation:

Each quarter is 25 cents

Each dime is 10 cents

Answer:

it would be 10

Step-by-step explanation:

Answer:

Scientific notation simply refers to the process of expressing long numbers in decimal.

Answer:

Step-by-step explanation  

Scientific notation is a way of writing numbers that is often used by scientists and mathematicians to make it easier to write large and small numbers. A number that is written in scientific notation has several properties that make it very useful to local scientists. It makes very large numbers into smaller numbers using decimals and exponents.

Answer:

(-3,7)

Step-by-step explanation:

Answer:

(-3,7)

Step-by-step explanation:

Answer:

Step-by-step explanation:

To find the value of x, solve the equation. Do this by rearranging the equation to make x the subject.

Answer:

x=32761 /4

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4x+7=32768

Step 2: Subtract 7 from both sides.

4x+7−7=32768−7

4x=32761

Step 3: Divide both sides by 4.

Answer: 0.12

Step-by-step explanation:

An exponential decay can be written as:

C(t) = A*r^t

Where A is the initial amount of cookies, A = 100

r is the rate that we are searching.

t is time in minutes, we know that at t= 0m

C(0) = 100*r^0 = 100

so at t = 0m we have 100 cookies.

now, we know that at t = 15m we have.

C(15s) = 100*r^(15m) = 15

r^15 = 15/100 = 0.15

r = (0.15)^(1/15) = 0.88

So the rate at which the cookies decrease is 0.88, and 1 - r = 0.12 is the rate at which the kids eat the cookies (meaning that the students ate 12% of the cookies per minute), so the answer is 0.12

Answer:

C. 1 hundred 9 tens 15 ones

Step-by-step explanation:

Which shows how to regroup 205 to subtract 205-147?

A. 2 hundreds 9 tens 15 ones

B. 1 hundred 10 tens 15 ones

C. 1 hundred 9 tens 15 ones

D. 1 hundred 8 tens 15 ones

To regroup 205, you can write 1 hundred, 9 tens, and 15 ones or option C.

Since 100+90+15=205.

Answer:

52

Step-by-step explanation:

If ABCD ~ EFGH

AND AB = 15 and EF = 18 and ABCD = 40

then

each side of ABCD should be 3cm less then side of EFGH

AB + BC + CD + DA = 40

AB + 3 + BC + 3 + CD +3 + DA + 3= P(EFGH)

40+12 = 52 = P(EFGH)

Answer: Isosceles Triangle

Step-by-step explanation:

Looking at this problem, we can easily say this this is a right triangle, by looking at the labeled angle. This questions asks for you to look at the angles and side lengths. Because the sides are both equal in length, this is an isosceles triangle.

Answer:

0 < y <= 6

Step-by-step explanation:

Given:

√(x² - 6x + 9)

if -3 <= x < 3

you can write (x² - 6x + 9)

as (x-3) * (x- 3) which is (x-3)²

so now you have √{(x-3)²}, which is the same as the absolute value of x-3. In mathematics it is written as:

| x - 3 |

So √(x² - 6x + 9) = | x - 3 |

See the graph in the attachment.

for -3 <= x < 3

you get the y values bigger then ( but not equal to) 0 and smaller then or equal to 6.

This is written as 0 < y <= 6

Answer:

x-3

Step-by-step explanation:

[tex]\sqrt{x^2 -x+9\\[/tex]

First rewrite 9 as 3^2 so... [tex]\sqrt{x^2 -6x+3^2}[/tex]

Next multiply the equation by 2ab so... 2ab =  2 · x · -3

Simplify so... 2ab = -6x

Then use the Perfect Square Trinomial rule: a^2 - 2ab + b^2 = (a-b)^2

so.. a = x and b = -3 to look like this: [tex]\sqrt(x- 3^2)[/tex]

And then finally pull out terms under the radical to get...

x-3

Answer:

C

Step-by-step explanation:

We shall be using the formula for simple interest to calculate this

Mathematically;

I = PRT/100

where P is the amount deposited = $8,500

R is the rate = 4%

and T is the time which is 2 years

Plugging these values, we have

I = (8500*4*2)/100 = $680

Answer:

[tex]3x-7y[/tex]

Step-by-step explanation:

[tex]9x-7y-6x[/tex]

[tex]9x+-7y+-6x[/tex]

[tex]9x+-6x+-7y[/tex]

[tex]3x+-7y[/tex]

Answer:

3x-7y

Step-by-step explanation:

9x and 6x are like terms

We subtract 6x from 9x because it is a negative

9x-6x= 3x

7y is also negative that's why the answer is 9x-7y

But you can also do -7y + 3x

It doesn't matter it's still the same

Hope this helps!

Answer:

x^3−2x^2−24x

Step-by-step explanation:

Answer:

x^3 - 2x^2 - 24

Step-by-step explanation:

FOIL:  first, outer, inner, last

This becomes

x^3 + 4x^2 - 6x^2 -24x  =  x^3 - 2x^2 - 24

Answer:

Juan can make 6 groups having the same number of pencil

Step-by-step explanation:

42/7=6

36/6=6

42+36=78

78/6=13

Each group will get 13 pencils