What is the earliest known reference to pi in history.

We know that,

[tex]V = \frac{1}{3} (a{}^{2} + ab + b{}^{2})h \\ [/tex]

Also,

[tex]l {}^{2} = h {}^{2} + (b - a) {}^{2} [/tex]

[tex]6{}^{2} = h {}^{2} + (9 - 5) {}^{2} [/tex]

[tex]36 = h {}^{2} +16[/tex]

[tex]h {}^{2} = 36 - 16[/tex]

[tex]h = \sqrt{20} [/tex]

[tex]h = 4.47[/tex]

Now , putting the value in the formula of volume

we get,

[tex]V = \frac{1}{3} (5{}^{2}+ 5 \times 9 + 9{}^{2})4.47 \\ [/tex]

[tex]V = \frac{1}{3} (25 + 5 \times 9 + 81)4.47 \\ [/tex]

[tex]V = \frac{1}{3} (25 + 45 + 81)4.47 \\ [/tex]

[tex]V = \frac{1}{3} \times 151 \times 4.47 \\ [/tex]

[tex]V = 224.99[/tex]

Hence, the volume of the given frustum is 224.99 cubic unit

Answer:

1.) -4x+30y 2.) distributive property 3.) -4x+30y, (-0.4(3)+3(2)), 10(-1,2)+10(6), -12+60, =48

Step-by-step explanation:

10(-0.4x+3y)= 10(-0.4x)+10(3y)= -4x+30y

10(-0.4(3)+3(2))

10(-0.4(3))+10(3(2))

10(-1.2)+10(6)

-12+60

= 48

Answer:

800

Step-by-step explanation:

When we say estimate, we must estimate the 2 numbers to their closest answer:

398- 400 when rounded to the nearest 100

1.9- 2 when rounded to the nearest whole number

So we get the estimate equation as: 400×2= 800

Solution:

We know that:

This means that:

Simplifying "400 x 2"

Thus, the estimate of 398 x 1.9 is about 800.

Answer:

y=-1/2x+2

Step-by-step explanation:

2-1/2x=y

y=2-1/2x

y=-1/2x+2

Answer: x=-1

Step-by-step explanation:

Answer:

46% of 115 gives 52.9 because it is the total of books that is not given

Answer:

for lines to be Parallel it means they will never touch. Think of train tracks. The two rails will never touch each other. For lines to be perpendicular they have to meet each other to form a corner. think the edge of a desk.

Step-by-step explanation:

Rational number because it's terminating

Step-by-step explanation:

no calculator or Excel sheet ?

(4×(4 + 3)) - 3 = (4×7) - 3 = 28 - 3 = 25

((7 - 5) ÷ 1/2) × 2 = (2 ÷ 1/2) × 2 = (2 × 2) × 2 = 4×2 = 8

(5.4 + 3) × (6 - 2) = 8.4 × 4 = 33.6

(9 ÷ 3 + 6) × 3 = (3 + 6) × 3 = 9×3 = 27

(4 + 3.2) × ((9 - 2) + 2.5) = 7.2 × (7 + 2.5) = 7.2 × 9.5 = 68.4

remember 2 things :

1. first priority for the sequence of operations is defined by brackets. second priority are multiplication and division (both are on the same level, and you can do them either way). and only third priority is addition and subtraction (they come last, and if you keep the "-" signs with the numbers, you can do them also in any sequence among each other : a - b = -b + a).

2. when you divide by a fraction, then this is the same as multiplying with the upside-down version of that fraction.

a / 1/b = a × b/1 = a × b

Step-by-step explanation:

½+⅛ = ⁴/8 + ⅛ = ⅝

bold one's are answer.

hope this helps you.

Select all expressions that are equal to 5/8.

Let's review each option one by one.

Option A

Thus, Option A is correct.

Option B

Thus, Option B is incorrect.

Option C

Thus, Option C is incorrect.

Option D

Thus, Option D is correct.

Option E

Thus, Option E is incorrect.

Answer:

1/3

Step-by-step explanation:

The probability that a number greater than 2 is rolled is 4/6 {2, 3, 4 and 6} The probability that the coin lands on heads is 1/2

You can multiply 1/2 and 4/6 to find out the total number of possible outcomes: 1/2 × 4/6 = 4/12. This can be simplified to 1/3.

Hope this helps!

Answer:

the answer is 16 okay it simple ok

Answer:

10x-3y=12

Step-by-step explanation:

In algebra, we always add alike terms. Meaning, when a set has numbers with the same variable, in this case it was x, we can add/substract/divide them to simplify the equations.

Answer:

y=-3

Step-by-step explanation:

5(y+2/5)=-13

5y+2=-13

5y=-15

y=-3

Answer:

aₙ=0.25*10ⁿ.

Step-by-step explanation:

0.25*10=2.5; 2.5*10=25; 25*10=250.., then it can be written as aₙ=0.25*10ⁿ

Answer:

to find the mean you must add all of the numbers in a data set together and then divide by how many numbers there are.

Answer:

give brainliest?

Step-by-step explanation:

the mean or average of a data set is found by adding all numbers in the data  and then dividing by the number of values in the set.

For example, if you have 10 numbers, you add them up and divide by 10. This would give you the mean of the data.

Here's another example with the numbers: 9,8,22,7,7,8,17

First add the numbers up: 9+6+20+7+7+8+20+2+2 = 81 Then divide 81 by the total number of data points, 9, and you get 9.

Theerefore the mean is 9.

The multiples of 5 include 5, 10, 15, 20, 25, 30, 35, 40, 45, 50, 55, 60, 65, 70, 75, 80...

Given that its a straight line, so the sum of three angles is 180°

So possible angles:

..

Answer: C. is not correct because angle 2 and angle 5 are same side interior angles. Same side interior angles of parallel lines always add up to 180 degrees. Therefore, the only way angle 2 would be equal to angle 5 would be if they were both 90 degrees, which the two angles are not always right angles.

The polynomial [tex]3x^2+x-6x+3[/tex] is a prime polynomial because it is not reducible or does not have factors.

Given polynomials are:

[tex]1)x^4+3x^2-x^2-3\\\\2)x^4-3x^2-x^2+3\\\\3)3x^2+x-6x-2\\\\4)3x^2+x-6x+3[/tex]

A polynomial not having more than one factor is called a prime polynomial.

Factors of the first polynomial are [tex](x^2-1),(x^2+3)[/tex]

Factors of the second polynomial are [tex](x^2-1),(x^2-3)[/tex]

Factors of the third polynomial are [tex](x-2) (3x+1)[/tex]

There are no factors of the fourth polynomial so this is a prime polynomial.

Therefore, the polynomial [tex]3x^2+x-6x+3[/tex] is a prime polynomial.

To get more about the polynomial visit:

https://brainly.com/question/2833285

Part A

Answers:

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

Explanation:

The two terms are separated by a plus sign. Since we have two terms, we have a binomial.

The variables are p and q, acting as placeholders for unknown numbers.

The coefficients are the numbers to the left of the variables, which are the 4 and 7.

The degree of multivariable polynomials is found by adding up the exponents for each term, then picking the largest sum. In each case, we get a sum of 3 for each monomial. The degree of the entire polynomial is therefore 3.

==============================================

Part B

Answer:   t^3 - 20t + 26

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

Explanation:

We have an expression of the form

(6t^3-3t+5) - x = (5t^3 + 17t - 21)

which rearranges to

-x = (5t^3 + 17t - 21) - (6t^3-3t+5)

-x = 5t^3 + 17t - 21 - 6t^3 + 3t - 5

-x = (5t^3 - 6t^3) + (17t+3t) + (-21-5)

-x = -t^3 + 20t - 26

x = -(-t^3 + 20t - 26)

x = t^3 - 20t + 26

Answer:

8

Step-by-step explanation:

Answer:

x=2

Step-by-step explanation:

5x+3=x+11

5(2)+3=2+11

10+3 = 2+11

13=13

Therefore, x=2

(basically you just plug in random numbers and see if it gets you the same answer on both sides)

Hope this helps!!

d + c = 19

100d + 15c = 1390

we can simplify the second equation

20d + 3c = 278

now d + c = 19

c = 19 - d

3c = 57 - 3d

now plug into second equation

20d + 57 - 3d = 278

17d = 278 - 57

17d = 221

d = 221 / 17

d = 13

now we can plug this into the first equation

13 + c = 19

c = 19 - 13

c = 6

13 dogs were sold and 6 cats were sold

Answer:

23, 25, 27

Step-by-step explanation:

n + (n+2) + (n+4) = 4n - 17

3n + 6 = 4n - 17

3n - 4n = -17 - 6

-n = -23

n = 23

therefore,

23, 25, 27 are the 3 consecutive odd integers

Answer:

C. y≥2

Step-by-step explanation:

y+5≥7

You must subtract 5 from both sides

y≥7-5

y≥2

Answer:

47.46 dollars

Step-by-step explanation:

If the store Macy has to increase the retail by 13%, then Macy store must increase the shirt. So you must increase 42 dollar by 13%.

Answer:

I dont see options, but the answer should be: X(2+5)≤40

Step-by-step explanation:

Answer:

x is given as -1.5. Substitute to confirm