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iren2701 [21]
3 years ago
9

the following sequence is an arithmetic sequence.you are now shown very many terms of this sequence,but you are shown enough to

fill in the missing number.what number goes in the blank? 14, _,56 ...?
Mathematics
1 answer:
aivan3 [116]3 years ago
8 0

because it is arithmetic not geometric 14,x,56 An = An-1 + d x = 14 +d --> d = x-14 56 = x +d --> d = 56-x By substitution x-14 = 56-x 2x = 70 x = 35 the sequence is 14,35,56

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Turner measured the floor of his storage unit, which is rectangular. It is 48 feet wide and 52 feet from one corner to the oppos
saveliy_v [14]

Answer:

<u>The storage unit is 20 feet long.</u>

Step-by-step explanation:

1. Let's use the Pythagorean Theorem to find the unknown side or length of the storage unit:

With the information given, we have a right triangle with 52 feet of hypotenuse and 48 feet as one of its sides and width of the storage unit.

Length of the storage unit ² = Hypotenuse ² - Width of the storage unit ²

Replacing with the real values:

Length of the storage unit ² = 52² - 48²

Length of the storage unit ² = 2,704 - 2,304

Length of the storage unit ² = 400

√Length of the storage unit ² = √400

<u>Length of the storage unit = 20 feet</u>

4 0
3 years ago
Find the area of the largest circle that can be inscribed inside a square whose diagonal is 5" ( with explanation )
sweet-ann [11.9K]

Answer:

19.625

Step-by-step explanation:

If the square's diagonal is 5 and the circle is inscribed in it, that means that the radius is 2.5

2.5^2*3.14

=19.625

6 0
3 years ago
Identify the terms. Then identify the coefficients of the variable terms of the expression. (Enter your answers as a comma-separ
tino4ka555 [31]

Answer:

The set of coefficients asociated with the given polynomial in ascending order is [C] = \{4,0,5\sqrt{3}\}.

Step-by-step explanation:

Let y = 5\sqrt{3}\cdot x^{2}+4, which is a polynomic function, defined as:

y = \Sigma_{i=0}^{n}c_{i}\cdot x^{i} (1)

Where:

c_{i} - i-th Coefficient.

x^{i} - i-th Power.

n - Grade of the polynomial.

We notice that given polynomial has degree 2 and can be rewritten by applying this definition:

y = 4 + 0\cdot x + 5\sqrt{3}\cdot x^{2}

Then, the set of coefficients asociated with the given polynomial in ascending order is:

[C] = \{4,0,5\sqrt{3}\}

7 0
3 years ago
Solving simultaneous equations by algebraic methods <br> 3a+4x=29<br> 2a-3x=-9
kogti [31]
<span>3a+4x=29 (1st)
2a-3x=-9 (2nd)

multiply (1st) by 3 and (2nd) by 4

</span>9a + 12x = 87 (1st)
8a - 12x = -36 (2nd)
---------------------add
17a = 51
   a = 3

<span>2a-3x=-9
</span><span>2(3)-3x=-9
6 - 3x = -9
-3x = -15
   x = 5

answer
x = 5 and a = 3</span>
4 0
3 years ago
Your family wants to purchase a new laptop with a 19" widescreen. Since the 19 inches represents the diagonal measurement of the
loris [4]

Answer:

14.7 inches

Step-by-step explanation:

To solve this we use Pythagorean Theorem, so a**2 + b**2 = c**2

Since we have The hypotenus (19”) and the opposite (12”), we rearrange it to be , b equals the square root of c squared - a squared.

When we plug the numbers in the formula, the answer is 14.73, which is therefore 14.7 inches!

Hope this helps!

6 0
2 years ago
Read 2 more answers
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