The diagram shows a regular pentagon.
a)
Work out the sum of the interior angles.
b)
Work out the size of one interior angle.

Answer:

12

Step-by-step explanation:

6 X 2

the 6 sides of the spinner and the two faces of the coin

Answer: 36

Step-by-step explanation:

I just took the test on Edge :)

Answer:

175000

Step-by-step explanation:

If the 1 is centimeters, then you would take 7 centimeters and multiply it by 25000 to get 175000.

To calculate this sort of problem:

 ⇒ involves calculating the total profits over each year

 ⇒ with a constant increase periodically

    ⇒ need to use the Compound Interest Equation

           [tex]A = P(1+\frac{r}{n})^{nt}[/tex]

Let's fill in some variables:

What do we want to know:

Let's solve:

    [tex]A= 247500*(1+\frac{0.16}{1} )^{1*10}=\\A=247500*(1+0.16)^{10}\\A=247500*(1.16)^{10} \\A= 1,091,830.18[/tex]

To the nearest whole number

Hope that helps!

Answer:

10.

Step-by-step explanation:

median means the "middle" number in a set of numbers.

(I always the meaning of median by remembering "middle" because they rhyme).

NOTE: to find the median of a set of numbers you have to arrange that set of numbers in either ascending order (smallest to biggest value) or descending order (biggest to smallest value) .

sooo....

we were given :

11, 17, 7, 4, 15, 19

let's arrange in ascending order

4, 7, 11, 15, 17 , 19

now you can cancel them out ( cancel left number, right number)

i mean....

cancel out 4, cancel out 19

cancel out 7, cancel out 17

and we are left with 2 numbers which are11 and 15.

NOTE; (when you have two numbers or values remaining instead of one number, add those two numbers and divide by 2).

soooo...

11 + 15 = 20

20/2 = 10

median of the set of numbers is equal to 10.

Hope this helps.

Good luck ✅.

Hey there!

Do PEMDAS to solve.

PEMDAS simply means.

• Parentheses
• Exponents
• Multiplication
• Division
• Addition
• Subtract

Some people use this method to make PEMDAS easier to understand

• Please
• Excuse
• My
• Dear
• Aunt
• Sally

4 + 4(5 + 2^2)

= 4 + 4(5 + 2 * 2)

= 4 + 4(5 + 4)

= 4 + 4(9)

= 4 + 36

= 40

Therefore, the answer should be: 40

Good luck on your assignment & enjoy your day!

~Amphitrite1040:)

Using sampling concepts, it is found that the correct statement is given by:

c. the sample is 85 people. the population is 2,534 people.

It is a common statistics practice, when we want to study something from a population, we find a sample of this population, which is a group containing elements of a population. A sample has to be representative of the population, that is, it has to involve all segments of the population.

In this problem, a group of 85 people, which is the sample, is taken from the entire population of 2,534 people, hence option c is correct.

More can be learned about sampling concepts at https://brainly.com/question/25122507

#SPJ1

Answer:

The solution is in the image

Answer:

The volume is 452 square inches.

Step-by-step explanation:

Volume=area of base*height

just plug in the values

Answer:

Step-by-step explanation:

Area of sector :

Answer:

949$

Step-by-step explanation:

You get 460$ the first year, then 488 in the second.

Answer:

5 seconds and 488 ft

Step-by-step explanation:

(a)

given a quadratic in standard form

y = ax² + bx + c ( a ≠ 0 ), then

the x- coordinate of the vertex is

x = - [tex]\frac{b}{2a}[/tex]

y = - 16x² + 160x + 88 ← is in standard form

with a = - 16 and b = 160 then

[tex]x_{vertex}[/tex] = - [tex]\frac{160}{-32}[/tex] = 5

the maximum height is at the vertex, the turning point on the graph

then it takes 5 second to reach its maximum height

(b)

to find the maximum height substitute x = 5 into the equation

y = - 16(5)² + 160(5) + 88

  = - 16(25) + 800 + 88

 = - 400 + 888

 = 488

maximum height is 488 ft

Answer:

Associative Property of Addition

Step-by-step explanation:

Associative Property of Addition:

For any real numbers a, b, and c, (a + b) + c = a + (b + c).

Answer:

Commutative Property of Addition

Step-by-step explanation:

don't know please clue question not written well

Answer:

She sold 5 pitchers of lemonade.

Step-by-step explanation:

She sold 2 on Friday and she sold 2 1/2 times that on Saturday so we have to do 2 x 2 1/2 in other words 2 x 2.5 which gives you 5.

:33333

Answer:

70

Step-by-step explanation:

using the Pythagorean theorem we see that the side length is 29, meaning the perimeter is 70

Answer:

8 and 4

Step-by-step explanation:

let the 2 numbers be a nd b

equations :

a + b = 12

a - b = 4

Adding the two equations

a + b + a - b = 12 + 4

2a= 16

a = 8

b = 4

[tex]\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}[/tex]

the given expression can be solved as follows ~

[tex] \frac{x}{13} - 1 = \frac{5x}{2} + \frac{1}{2} \\ [/tex]

taking LCM both the sides ,

[tex] \frac{x - 13}{13} = \frac{5x + 1}{2} \\ [/tex]

on cross multiplying ,

[tex](x - 13)2 = (5x + 1)13 \\ \\ \implies \: 2x - 26 = 65x + 13[/tex]

let's now gather the like terms at either sides of the equation ~

[tex]65x - 2x = - 26 - 13 \\ \\ \implies \: 63x = - 39 \\ \\ \implies \: x = \frac{\cancel{ - 39}}{\cancel{63}} [/tex]

on simplifying the equation ,

[tex] \implies \frac{-13}{21}\\[/tex]

hope helpful ~

Answer:

1.

3.5 days

2.

6.75 minutes, 6 minutes 45 seconds, 6.8 minutes to 1 dp

Step-by-step explanation:

1.

With double the amount of tractors it will take half the time.

7 divided by 2 is 3.5

2.

This is an example of inverse proportion. The job that has to be done to to prepare the vegetables, That stays the same.

However, the more people there are to do the work, the quicker it will get done.

There is a constant to be found:

x multiplied by y equals k

3 x 45 = 135

For 20 people:

20 x y = 135

135 divided by 20 is:

6.75, or 6.8

Answer:

Relative frequency for each discount :

10% - 0.4925, 20% - 0.3325, 40% - 0.175

Since only 33.25% of customers got 20% discount, it is not an appropriate method.

Step-by-step explanation:

relative frequency = number of frequency/total number of frequency

you can find out relative frequency for each number and add them up to get relative frequencies of discounts.

Answer:

he gave away 96 but depends how many friends he gave them to.

Step-by-step explanation:

Answer:

It depends if you pick a D or a T for P(not a vowel)

Answer:

[tex]x = 0.2[/tex]

Step-by-step explanation:

In the question since the angle we were given was 41°, whereby x was the adjacent and 0.3 was the hypothenus. We have to use cosine to find the value of x.

[tex]recall: \: cosine = \frac{a}{h} \\ \\ a = x \: \: \: h = 0.3 \: \: \: \: angle = 41[/tex]

Therefore:

[tex] \cos(41) = \frac{x}{0.3} \\ \\ 0.75 = \frac{x}{0.3} \\ \\ 0.8(0.3) = x \\ \\ 0.24 = x[/tex]

Since we were asked to round it to the nearest tenth, then the answer would be 0.2.

Answer:

x = 0.2

Step-by-step explanation:

Given: Right angle DEF, angle E = 90°, angle D = 41°, angle DF = 0.3

To find value of x:

Solution: In angle DEF, angle E = 90°.

[tex] cos \: 41° = \frac{adjacent \: side}{hypotenuse} = \frac{DE}{DF} [/tex]

[tex]cos \: 41° \: = \frac{x}{0.3} [/tex]

x = 0.3 × cos 41° = 0.226 ≈ 0.2

Hence x = 0.2

HOPE THIS HELPS AND HAVE A NICE DAY <3

The series of transformations that moves quadrilateral ABCD onto quadrilateral A'B'C'D' is C. reflection, translation.

It should be noted that transformation simply means the movement of object in a coordinate plane.

The common type of transformation in mathematics include translation, rotation, reflection, and dilation.

Here, the series of transformations that moves quadrilateral ABCD onto quadrilateral A'B'C'D' is reflection, and translation. Reflection is flipping the pre image and producing the mirror image while translation is movement of the pre image

Learn more about transformation on:

brainly.com/question/9028159

#SPJ1

Answer:

A

Step-by-step explanation:

[tex]\dfrac{4v^2}{wu+u^2} \times \dfrac{7w+7u}{4v-8v^2}\\\\\\=\dfrac{4v^2(7w+7u)}{(wu+u^2)(4v-8v^2)}\\\\\\=\dfrac{4v^2 \cdot 7(w+u)}{u(w+u)\cdot 4v(1-2v)}\\\\\\=\dfrac{7v}{u(1-2v)}[/tex]

answer is: Notice that if the population doubles every 12 years, it quadruples (4 times) in 24, multiplies by 8 in 36, and multiplies by 16 in 48 years.

Answer:

Amelias salary increase by $12,000 every year so 12*20 = $240,000 salary in 20th year.