MATHEMATICS MIDDLE SCHOOL

The length of two sides of a triangle are 14 inches and 4 inches. Which of the following dimensions is the third side of this triangle

Answers

Answer 1

Answer:

The length of the two sides of a triangle is 14 inches and 4 inches.

We have given that,

The length of the two sides of a triangle is 14 inches and 4 inches.

We have to determine the which of following dimensions is the third side of this triangle.

What is the triangle?

A triangle is a polygon with three edges and three vertices. It is one of the basic shapes in geometry. A triangle with vertices A, B, and C is denoted \triangle ABC. In Euclidean geometry, any three points, when non-collinear, determine a unique triangle and simultaneously, a unique plane

The answer would be 11 believe.

The length of the two sides of a triangle is 14 inches and 4 inches is 11.

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Answer 2

Answer: The length oftwo sides of a triangle are 14 inches and 4 inches. The answer would be 11 i believe.

The first term of the given sequence (a) = 6561

Step-by-step explanation:

Let the first term = a and common difference = d

Given,

$a_(3)$ = 729 and $a_(4)$ = 243

To find, the first term of the given sequence (a) = ?

We know that,

The nth term of a G.P.

$a_(n) =ar^(n-1)$

The 3rd term of a G.P.

$a_(3) =ar^(3-1)$

⇒ $ar^(2)$ = 729 ..............(1)

The 4th term of a G.P.

$a_(4) =ar^(4-1)$

⇒ $ar^(3)$ = 243 ..............(2)

Dividing equation (2) by (1), we get

$(ar^(3))/(ar^(2))$ = $(243)/(729)$

⇒ $r=(1)/(3)$

Put $r=(1)/(3)$ in equation (1), we get

$a((1)/(3))^(2)$ = 729

⇒ $a((1)/(9))$ = 729

⇒ a = 9 × 729 = 6561

∴ The first term of the given sequence (a) = 6561

Final answer:

The first term of the geometric sequence is 6561 and the recursive rule of the sequence is a(n) = a(n-1) * 1/3.

Explanation:

In a

geometric sequence

, each term after the first is found by multiplying the previous term by a fixed, non-zero number called the

common ratio

. In your case, you are given the third term, a3=729, and the fourth term, a4=243 in the sequence. We know that in a geometric sequence, any term divided by the previous term gives the common ratio. So 243/729 = 1/3, which is the common ratio, r.

Now, to find the first term, we use the provided values and the formula for the nth term in a geometric sequence which is a = a3 / r^n, where a is the first term, r is the common ratio, and n is the term number. Therefore, to find the first term, we go back two steps from the third term (729) dividing by 1/3 each time: (729/1/3) = 2187 (which is the second term) and again (2187/1/3) = 6561 (which is the first term).

So, the first term, a1=6561, and the recursive rule that describes this sequence is a(n) = a(n-1) * 1/3

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Stacey filled her 1/2 cup measuring cup seven times to have enough flour does the cake récipe. How much flour does the cake recipe call for?

Answers

All we need to do to find the answer is to multiply 1/2 by 7:

1/2 * 7 =
= 7/2 =
= 3 1/2

Answer: The cake recpipe calls for 3 1/2 cups of flour.

I hope it will help you ;)

Round the number to the nearest thousandth 5.7935

Answers

Number round to the nearest thousandth is 6.458.

What is Algebra?

Algebra is the study of abstract symbols, while logic is the manipulation of all those ideas.

The acronym PEMDAS stands for Parenthesis, Exponent, Multiplication, Division, Addition, and Subtraction. This approach is used to answer the problem correctly and completely.

We are given that;

Number = 5.7935

Now,

To round 6.4578 to the nearest thousandth, you look at the digit 7 in the ten-thousandth place. Since 7 is more than 5, you round up by adding 1 to the digit 8 in the thousandth place and dropping the digit 7.

Therefore, by algebra the answer will be 6.458.

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The answer would be 5.794.
The thousandths place is where the 3 is. If the number to the right of it is 5 or bigger, than you can round up. If not, then you round down.

A beach ball has a radius of 12 in.. How much air will the beach ball hold? (leave your answer in terms of π)

Answers

V=(4/3)pir^3
r=12
V=(4/3)pi12^3
V=(4/3)pi1728
V=2304pi in^3

Hi There!

A beach ball has a radius of 12 in.. How much air will the beach ball hold? (leave your answer in terms of π)?

$Vol = (4* \pi * x^(3) )/(3)$

Therefore the answer would be
V = 2304π cubic inches

Another way is?

V = 4/3πr³
r = 12 in.

V = 4/3π(12 in)³

V = 4/3π(1728 in³)

V = 2304π in³

there are 5 times as many yellow labs as terriers in the dog park. if there are a total of 18 dogs, how many dogs are terriers?

Answers

3 is the answer
5x3=15 then 15+3=18

there are 3 terriers and 15 yellow labs

A number multiplied by itself, then added to five

Answers

Final answer:

The phrase 'a number multiplied by itself, then added to five' is describing an algebraic operation. This operation involves squaring a number (multiplying it by itself), and then adding five to result. The equation for this operation can be represented as n² + 5.

Explanation:

The subject of this question is in the field of mathematics, specifically algebra. The phrase 'a number multiplied by itself, then added to five' is describing a basic mathematical operation involving squares. When a number is multiplied by itself, this is referred to as 'squaring' the number. It is such named because it's akin to creating a square using sides of equal length. In algebra, this would be expressed as n², where n represents any number.

To add five to the square of a number, an equation might look something like n² + 5. This equation denotes that whatever number n is, it should be squared, and then five should be added to the result. For example, if n=2, the equation would calculate as follows: 2² + 5 = 4 + 5 = 9.