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Leviafan [203]
3 years ago
12

The Pythagorean Identity states that:

Mathematics
1 answer:
Oksi-84 [34.3K]3 years ago
7 0

Answer:

1/2

Step-by-step explanation:

According to pythagoras theorem;

(sinx)²+(cosx)² = 1

Given that sinФ = √3/2

Substitute into the formula

(√3/2)²+(cosx)² = 1

3/4+(cosx)² = 1

(cosx)² = 1 - 3/4

(cosx)²  = 1/4

cos x = √1/4

cos x = 1/2

Hence the value of cosФ is 1/2

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Annette [7]
The answer is 22, good luck on you work
7 0
4 years ago
Simplify 3/4 - 1/6 v + 7/15 v - 1/2
Debora [2.8K]

Answer:

Simplified form of 3/4 - 1/6 v + 7/15 v - 1/2 is (1/4) - (-3/10 v)

Step-by-step explanation:

To simplify: 3/4 - 1/6 v + 7/15 v - 1/2

We can simplify this as:

3/4 - 1/2 - 1/6 v + 7/15 v

or (3/4 - 1/2) - (1/6 v - 7/15 v)

or (1/4) - (-3/10 v)

or (1/4) + (3/10 v)  , This is the simplified answer.

So we got, 3/4 - 1/6 v + 7/15 v - 1/2 = (1/4) - (-3/10 v)

7 0
3 years ago
The set of integers is closed under the operation of addition.
Brut [27]

Answer:

A: 2+27=29

B: The sum of the integers 2 and 27 is the integer 29, which demonstrates that integers are closed under addition.

Step-by-step explanation:

Since, closed property of addition for a set A is defined as,

∀ x, y ∈ A ⇒ x + y ∈ A,

∵ Set of integer is closed under multiplication,

If Z represents the set of integer,

Then 2, 27 ∈ Z  ⇒ 2 + 27 = 29 ∈ Z,

Hence, the equation illustrates given statement,

2+27 = 29

The statement that correctly explains given statement,

The sum of the integers 2 and 27 is the integer 29, which demonstrates that integers are closed under addition.c

6 0
3 years ago
Write the equation for the following relation.
krok68 [10]
Y= 1/2x plus three
This works for all of the ordered pairs so will most likely be correct
5 0
3 years ago
Which pair shows equivalent expressions?
DENIUS [597]

2(\frac{2}{5}x + 4) =  \frac{4}{5}x + 4 which is the second option is the equivalent expression.

Explanation:

First,  we need to calculate the value of two-fifths of x. It means 2 portions out of the five portions of x which equates to \frac{2}{5}x.

Now we calculate the values of the two expresssions on the LHS.

1) 2 (two-fifths x + 2) = 2 (\frac{2}{5}x + 2) = \frac{4}{5}x + 4.

2)  (two-fifths x + 4) = 2(\frac{2}{5}x + 4) =  \frac{4}{5}x + 8.

Now we determine values of the four expressions on the RHS.

1) Two and two-fifths x + 1 = 2\frac{2}{5}x + 1

2) Four-fifths x + 4 = \frac{4}{5}x + 4

3) Four-fifths x + 2 = \frac{4}{5}x + 2

4) Two and two-fifths x + 8 = 2\frac{2}{5}x + 8.

Out of the various LHS and RHS values, the 1^{st} LHS value and 2^{nd} RHS value is the same. So option 2 is the answer.

7 0
3 years ago
Read 2 more answers
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