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2 years ago

Can you form a right triangle with the three lengths given? Why or why not? 5 cm, 12 cm, 13 cm

1 answer:

4 0

Yes, I form a right triangle with the three lengths given, because The largest side which is 13cm can be squared and will be set to equal to the sum of squares of smaller two side.

<h3>What is a right-angled triangle?</h3>

A right-angled triangle serves as the triangle having one of its angles equal to 90 degrees.

It should be noted that the other two angles sum up to 90 degrees., hence I form a right triangle with the three lengths given, because The largest side which is 13cm can be squared and will be set to equal to the sum of squares of smaller two side.

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Given that set A has 48 elements and set B has 21 elements, determine each of the following. (a) The maximum possible number of

yKpoI14uk [10]

Answer: The required answers are

(a) 69, (b) 21, (c) 21 and (d) 0.

Step-by-step explanation: We are given that the set A has 48 elements and the set B has 21 elements.

(a) To determine the maximum possible number of elements in A ∪ B.

If the sets A and B are disjoint, that is they do not have any common element. Then, A ∩ B = { } ⇒ n(A ∩ B) = 0.

From set theory, we have

$n(A\cup B)=n(A)+n(B)-n(A\cap B)=48+21-0=69.$

So, the maximum possible number of elements in A ∪ B is 69.

(b) To determine the minimum possible number of elements in A ∪ B.

If the set B is a subset of set A, that is all the elements of set B are present in set A. Then, n(A ∩ B) = 21.

From set theory, we have

$n(A\cup B)=n(A)+n(B)-n(A\cap B)=48+21-21=48.$

So, the minimum possible number of elements in A ∪ B is 21.

(c) To determine the maximum possible number of elements in A ∩ B.

If the set B is a subset of set A, that is all the elements of set B are present in set A. Then, n(A ∩ B) = 21.

So, the maximum possible number of elements in A ∩ B is 21.

(d) To determine the minimum possible number of elements in A ∩ B.

If the sets A and B are disjoint, that is there is no common element in the sets A and B . Then, n(A ∩ B) = 0.

So, the maximum possible number of elements in A ∩ B is 0.

Thus, the required answers are

(a) 69, (b) 21, (c) 21 and (d) 0.

6 0

3 years ago

Which decimal is equivalent to 26/9

grandymaker [24]

Answer:

The decimal 2.8 is equivalent to 26/9

Hope this helps

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3 years ago

What makes headlines? (Geojoke answer) (this is for trigonometric ratios)

Fudgin [204]

Answer:

sorry what do you mean

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Angle ABC is formed by segments AB and BC on the following coordinate grid: A coordinate grid is shown from positive 6 to negati

Nadusha1986 [10]

Answer:

B) m∠ A'B'C' = m∠ABC

Step-by-step explanation:

A rotation does not change angle measure or side length. It preserves congruence.

This means that the image angle, A'B'C', will be congruent to the pre-image angle, ABC.

5 0

3 years ago

Read 2 more answers

The exponential function f(x) = 2^x undergoes two transformations to

Eddi Din [679]

Option A: It is vertically stretched

Option B: it is shifted down

Solution:

The exponential function $f(x)=2^{x}$ undergoes two transformations to $g(x)=5 \cdot 2^{x}-3$ .

<u>To determine how the graph changes:</u>

Consider the given exponential function $f(x)=2^{x}$ .

Let y = f(x)

Vertically compressed or stretched:

A vertically compression (stretched) of a graph is compressing the graph toward x-axis.

• if k > 1 , then the graph y = k• f(x) , the graph will be vertically stretched by multiplying each y coordinate by k.

• if 0 < k < 1 if 0 < k < 1 , the graph is f(x) vertically shrunk (or compressed) by multiplying each of its y-coordinates by k.

• if k should be negative, the vertical stretch or shrink is followed by a reflection across the x-axis.

Here, k = 5

So the graph will be vertically stretched.

Also, Adding 3 to the graph will move the graph 3 units down so, the graph is shifted down.

So, The graph is shifted down.

Hence option A and option B is the correct answer.

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3 years ago