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lina2011 [118]
3 years ago
11

What is the common difference for this arithmetic sequence 45, 39, 33, 27, 21, ...

Mathematics
1 answer:
frosja888 [35]3 years ago
6 0

Answer;

It's B.-6

Step-by-step explanation:

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If a right angled triangle has 3 sides a,b and c when a=3,b=6 ,what is the value of c?​
Nataliya [291]

Answer:

c = 3√5 ≈ 6.708

Step-by-step explanation:

Use the Pythagorean Theorem because this is a right triangle.

a^2 + b^2 = c^2

3^2 + 6^2 = c^2

9 + 36 = c^2

45 = c^2

√45 = c

<u>c = 3√5 ≈ 6.708</u>

5 0
3 years ago
What is the simplified form of the following expression?
Amanda [17]
You have sqrt(8), sqrt(18), and sqrt(2).
You need to simplify the radicals.
sqrt(2) is already simplified.
For both sqrt(8) and sqrt(18), you need to factor out the greatest perfect square.

8 = 4 * 2
You can take the square root of 4 and put it outside the root.

18 = 9 * 2
You can take the square root of 9 and put it outside the root.

5 \sqrt{8} - \sqrt{18} -2 \sqrt{2} =

= 5 \sqrt{4 \times 2} - \sqrt{9 \times 2} -2 \sqrt{2}

= 5 \times 2\sqrt{2} - 3 \sqrt{2} -2 \sqrt{2}

= 10\sqrt{2} - 3 \sqrt{2} -2 \sqrt{2}

= 5\sqrt{2}
8 0
4 years ago
Read 2 more answers
The carpet used in Parkers bedroom covers an area of 121 square feet. If the carpet is square, what is the length of each side o
steposvetlana [31]

The length of the carpet's side is 11 feet

Step-by-step explanation:

Step 1 :

The area covered by the carpet = 121 square feet

We need to find the length of side of  carpet

Step 2 :

Since it is given that the carpet is square, the length of all sides are the same

The area is obtained by squaring the side. Hence to find the side from the given area we need to take the root of the area.

Side²  = 121

Therefore side = √121 = 11 feet

Step 3 :

Answer :

The length of the carpet's side is 11 feet

8 0
4 years ago
I really need help with these two questions. I wrote what I think they are, but I'm not sure. Please help me double check them.
guapka [62]

1. The first polynomial listed is just the number 9.

We can identify two key things here:

There is one term, so it's a monomial.

There are no factor's, so it has a degree of 0, or is constant.

Your answer is correct.


2. In the next polynomial, we can identify the same things:

There are three terms, so it's a trinomial.

The degree of the polynomial is determined by observing the higher power in a given term, in this case, it's three.

The prefix for relating to a multiple of three is cubic, we so know that this is a cubic trinomial.

Your answer is correct again, well done!

5 0
3 years ago
At Maxx Middle School, there are 30 times as many students as teachers. If there are 450 students, how many teachers are there?
vredina [299]
30 times as many students than teachers
Equation = 450/30 = 15 teachers
8 0
3 years ago
Read 2 more answers
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