Determine the missing side of the triangle.

Answer: mutually exclusive are:

ii. Sit down and stand up

ii. Sit down and stand upiii. Two dice: Odd and Even

because they can not occur same time

Mutually exclusive events don't occur at same ineterval and are not dependent upon each other

Here

They are

Answer:

the sequence is adding 5 the next number would be 22

hope this helps

have a good day :)

Step-by-step explanation:

7, 12, 17, 22, 27 . . .  (5n + 2)

n = 1, => 7

n = 2, => 12

n = 3, => 17

n = 4, => 22

Step-by-step explanation:

The exact question is as follows :

Given - The value of π up to 35 decimal places is given below:

3.14159265358979323846264338327950288

To find - Make a frequency distribution of the digits 0 to 9 after the decimal point.

Proof -

The Frequency Distribution Table for digits after decimal point in the value of Pi is :

Digits        Frequency after decimal point

0                               1

1                               2

2                               5

3                               6

4                               3

5                               4

6                               3

7                               2

8                               5

9                               4

Total Digits =               35

Answer:

Larger groups tends to take less time to solve the puzzle.

Step-by-step explanation:

It is given that Vincent gathered few groups from 1 to 8 people and he gave them the same puzzle to solve for each group. The graph is provided which show the relationship between the number of groups and the time taken by each group to solve the puzzle.

From the graph, it cam be seen that, the larger groups is more likely to take less amount of time to solve the puzzle as compared to the smaller groups.

Answer:

B

Step-by-step explanation:

Khan Academy says so

Answer:

the new area is 1% smaller.

Step-by-step explanation:

the area of a rectangle is length times breadth.

let's call them a and b

Area = a × b

now, a is increased by 10%. that means it is multiplied by 11/10.

because 100% means the whole thing, 1% means a 1/100th part of the whole. and 10% then means 10 times the 1/100th part of 10 × 1/100 = 10/100 = 1/10

if then simmering increases by 10% it means that it is the original 100% plus 10%.

so, it is 100/100 + 10/100 = 10/10 + 1/10 = 11/10

therefore the new length is

a(new) = a(old)×11/10

in exactly the same way, when the breadth is reduced by 10% we get then

breadth(new) = breadth(old)×9/10

so, Area(new) = a(new)×b(new) = a(old)×11/10 × b(old)×9/10

remember, Area(old) = a(old)×b(old)

so, Area(new) = a(old)×b(old) × 11/10 × 9/10 =

= Area(old) × 11/10 × 9/10 =

= Area(old) × 99/100

that means the new area has lost compared to the old area 1/100th of its size. 1/100th = 1%

Answer:

51.

Step-by-step explanation:

Step 1: Define/explain.

To find the range of a data set, subtract the smallest number from the largest number.

Step 2: Solve.

[tex]14, 23, 6, 54, 30, 26, 17, 3, 26[/tex]

[tex]54-3=51[/tex]

Step 3: Conclude.

I, therefore, believe the range of this data set is 51.

Answer:

B. (2, 1/64)

Hope this helps!

Answer:

VF= $25.088.000

Step-by-step explanation:

Dada la siguiente información:

Inversión inicial (VP)= $20.000.000

Tasa de interes (i)= 12% anual

Número de periodos (n)= 2 años

Para calcular el falor futuro (VF) de la inversión, debemos usar la siguiente formula:

VF= VP*(1 + i)^n

VF= 20.000.000*(1,12^2)

VF= $25.088.000

First the top right quart

area = 16, 4 * 4

Then the top left quart

making a 2 by 4 triangle followed with 4 additional square

making 2 * 4 * 1/2 = 4 + 4 meaning area = 8

then the bottom quart

Making a large triangle of 7 by 3

meaning 7 * 3 * 1/2 = 10.5

total area = 16 + 8 + 10.5 = 34.5

Answer:

0.75 cups

Step-by-step explanation:

2.25 cups/3 dozen = x / 1 cup        Cross multiply

2.25 * 1  = 3*x                                   Divide by 3

2.25/3 = x

x = 0.75

To make 1 dozen cookies, she will need 0.75 cups (3/4 cup).

Answer:

Yes.

Step-by-step explanation:

A triangle is a right triangle if the sides satisfy the Pythagorean Theorem, or:

a² + b² = c².

So input the values.

a² + b² = c²

3² + 4² = 5²

9 + 16 = 25

25 = 25

The triangle with sides 3 m, 4 m, and 5 m is a right triangle.

Answer:

Yes, it's a right triangle.

Step-by-step explanation:

We can use the Pythagorean theorem to help.

The theorem states that if a triangle is right, [tex]a^{2} + b^{2} = c^{2}[/tex].

C is the longest side of the right triangle or the hypotenuse.

A and b are the other 2 sides

5 is the greatest so that must be [tex]c[/tex].

4 and 3 are [tex]a[/tex] and [tex]b[/tex]. (It doesn't matter which is a and which is b)

Plug in the numbers:

[tex]4^2 + 3^2 = 5^2[/tex]

Solve:

16 + 9 = 25

25 = 25

This triangle is a right triangle!

Answer:

Two solutions

Step-by-step explanation:

Answer:

-5,4

Step-by-step explanation:

Answer:

Michelle. 70cm³

Step-by-step explanation:

Michelle's popcorn volume: 10cm x 10cm x 13.5cm = 1350cm³

Beyunka's popcorn volume: 8cm x 8cm x 20cm = 1280cm³

Therefore, Michelle's popcorn container can hold more.

1350 - 1280 = 70cm³

Answer:

c. 39

Step-by-step explanation:

you have to find the middle of this. 39 is the middle.

Answer:

A)

Step-by-step explanation:

if you use the foil method on A you get '100k² - m²'

Answer:7

Step-by-step explanation:

Answer:

105

Step-by-step explanation:

Answer:

245,564people

Step-by-step explanation:

The population of Algebra City is approximately 314,159 people, but the rate decreases at 2.7% each year. About how many people will live in Algebra City in 9 years?

We solve for the above question using the formula for Exponential decrease. =

P(t).= Po(1 - r)^t

Where

P(t) = ?

Po = Initial population = 314159

r = 2.7% = 0.027

t = time = 9 years

P(t) = 314159(1 - 0.027)⁹

= 245564.2088

Approximately to the nearest whole number = 245,564people

Answer:

Step-by-step explanation:

By its reciprocal.

Answer:

Solution given;

for sphere

radius [r]:12inches

another

radius [R]:9inches

Now

difference in volume of sphere:

volume of sphere of having radius [r-R]

=[tex] \frac{4}{3} πr³[/tex]-[tex] \frac{4}{3} πR³[/tex]

=[tex] \frac{4}{3} π[/tex](12³-9³)

= 1332π cubic inches

The volume of the larger sphere is ___1332__π cubic inches greater than the volume of the smaller sphere.

Answer:Divide that by 365 to get about 1.9. Thats 1,000,000 minutes in years. So yes, the average person lives for at least 1,000,000 minutes, in fact they live for a lot more than that!

Step-by-step explanation:

hope it helps

Answer:

No

Step-by-step explanation:

1,000,000 minutes is about 2 (1.9) years.

The average person lives for 78 years, or 41,000,000 minutes

Answer:

Answer:it’s 1/4

Step-by-step explanation:

Answer: 1/4

Step-by-step explanation:

Answer:

36

Step-by-step explanation: