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Zarrin [17]
2 years ago
11

Is the length of the hypotenuse of a right triangle with legs that mea-

Mathematics
1 answer:
icang [17]2 years ago
4 0
Answer:
Irrational Number

Step-by-step explanation:
So, since it's a right triangle, you can use Pythagorean Theorem to calculate the measure of the hypotenuse.

Pythagorean Theorem says the hypotenuse squared = the sum of the sides squared.

5² + 6² = 25 + 36 = 61

And the square root of 61 is 7.8102496.... and the decimal continues in no distinguishable pattern. Therefore, the length of the hypotenuse is an irrational number.
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Answer the following true or false. Justify your answer.
Anna007 [38]

Answer:

a) False b) False c) True d) True e) True

Step-by-step explanation:

a) If A is a subset of B, and x∈B, then x∈A. False

Suppose A is Z (Set of Integers), and B is R (Set of Real Numbers). Then A is a subset of B. x ∈ B, let's say x equals π. If x ∈ B (B = Real Numbers) and x=π then x ∉ A (Z).

We could call A, any other subset of Real numbers (Q, I,..) and we both would come up to the same conclusion when it comes to Real numbers the Set.

So this conclusion is False. Not always an element of a subset is an element of a set.

b) False

For this one, I've drawn some lines, and it is useful to work with them.

Given the set {(x,y) ∈ R²| 0<x<0} then all negative and positive numbers but zero belong to this set.

c) If A and B are square matrices, then AB is also square. True

Taking into account the rules for multiplying matrices. The number of columns of A must be the same number of lines of B to there can be a matrix product.

Whenever we multiply square matrices, we'll always get square matrices. Then this conclusion is true.

d) A and B are subsets of a set S, then A∩B and A∪B are also subsets of S. True

Suppose A= Z (Integer Numbers) and B=Q (Rational Numbers) and S= R (Real Numbers)

A∩B = Z∩Q=∅ and A∪B =Z∪Q = subset

Since the ∅ empty set ⊂ in every set and ZUQ is another Subset of R this is a True conclusion.

e) True. For a matrix A, we define A²= AA

For any Power of Matrices, all we have to do is multiply any given matrix by itself for a given number of times.

M²=M*M

M³=M*M*M

7 0
3 years ago
A total of $37185 is invested at an annual interest rate of 2% compounded quarterly. Find the balance after 11 years.
vazorg [7]
A=37,185×(1+0.02÷4)^(4×11)
A=46,309.97
8 0
3 years ago
PLEASE HELP I WILL GIVE BRAINLIEST <br><br> Which statement accurately describes the scatterplot
d1i1m1o1n [39]

Answer:

B is the answer for sure, because there are two outliers, there is a visible line, and they are not at all clustered around a single point

3 0
2 years ago
Read 2 more answers
PLEASE HELP FAST!!!!!
lakkis [162]

Answer:

< W  ≅ < P.

Step-by-step explanation:

< W  ≅ < P.

< W is the refection of < P over the x-axis.

7 0
3 years ago
If the Zeros are 2 and 8 what's the axis of symmetry?
lions [1.4K]

Answer:

Step-by-step explanation:

x=2,x-2=0

x=8

x-8=0

y=(x-2)(x-8)=x²-2x-8x+16=x²-10x+16

=x²-10x+25-25+16

=x²-10x+25-9

y=(x-5)²+9

axis of symmetry is x-5=0 or x=5

8 0
2 years ago
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