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aleksklad [387]
3 years ago
10

Is it ever possible for the height of a parallelogram to be one of the parallelogram’s sides? Explain

Mathematics
2 answers:
lapo4ka [179]3 years ago
7 0

Answer:

yes

Step-by-step explanation:

Parallelogram has two sides equal to each other. If that sides are kept vertical instead of horizontal the it is possible.

12345 [234]3 years ago
4 0

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Solve for x.<br><br> y=4+bx^2
kicyunya [14]
y=4+bx^2

bx^2 = y - 4

x^2 =  \dfrac{y-4}{b}

x = \pm \sqrt{ \dfrac{y-4}{b} }
3 0
4 years ago
Determine whether the geometric series 27 + 18 + 12 + 8 + ... converges or diverges, and identify the sum if it exists.
Ne4ueva [31]

The given geometric series as shown in the question is seen to; Be converging with its' sum as 81

<h3>How to identify a converging or diverging series?</h3>

We are given the geometric series;

27 + 18 + 12 + 8 + ...

Now, we see that;

First term; a₀ = 27

Second Term; a₁ = 2(27/3)

Third term; a₂ = 2²(27/3²)

Fourth term; a₃ = 2³(27/3³)

Thus, the formula is;

2ⁿ(27/3ⁿ)

Applying limits at infinity gives;

2^(∞) * (27/3^(∞)) = 0

Since the  terms of the series tend to zero, we can affirm that the series converges.

The sum of an infinite converging series is:

S_n = a/(1 - r)

S_n = 27/(1 - (2/3)

S_n = 81

Read more about converging or diverging series at; brainly.com/question/15415793

#SPJ1

6 0
2 years ago
Multiply. Express your answer in simplest form.
DENIUS [597]

Answer:

Bet

Step-by-step explanation:

It’s a simple one to write. There are many trios of integers (x,y,z) that satisfy x²+y²=z². These are known as the Pythagorean Triples, like (3,4,5) and (5,12,13). Now, do any trios (x,y,z) satisfy x³+y³=z³? The answer is no, and that’s Fermat’s Last Theorem.

On the surface, it seems easy. Can you think of the integers for x, y, and z so that x³+y³+z³=8? Sure. One answer is x = 1, y = -1, and z = 2. But what about the integers for x, y, and z so that x³+y³+z³=42?

That turned out to be much harder—as in, no one was able to solve for those integers for 65 years until a supercomputer finally came up with the solution to 42. (For the record: x = -80538738812075974, y = 80435758145817515, and z = 12602123297335631. Obviously.)

8 0
3 years ago
What’s £8 in ratio 1:1 I’m stuck ?
Varvara68 [4.7K]
£4:£4 is the answer.
5 0
3 years ago
Which of the following is not part of the Triangle Proportionality Theorem?
natka813 [3]

Answer:

A. AA Similarity Theorem  . True

B. Two sides divided proportionally. True

C. A parallel line to one side of a triangle.  True

D. A perpendicular line to one side of a triangle. False

Step-by-step explanation:

The Triangle Proportionality Theorem says that if a line is parallel to one side of a triangle, then it splits the other two sides into proportional sections.

Now, here the given statements are:

<u>A. AA Similarity Theorem </u>

TRUE, as the angles opposite to equal sides are equal.

And if lines are divided proportionally, both the triangles are Similar by AA similarity theorem.

<u>B. Two sides divided proportionally. </u>

TRUE,as the other two sides of the triangle are divided proportionally by the parallel line.

<u>C. A parallel line to one side of a triangle. </u>

TRUE, as the parallel line divides the other two  non- parallel sides in equal proportions.

<u>D. A perpendicular line to one side of a triangle.</u>

FALSE, this part is not required anywhere in the given theorem result.

3 0
3 years ago
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