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3 years ago

Identify the conclusion of the conditional statement.

Mathematics

2 answers:

gogolik [260]3 years ago

8 0

<h2>Answer:</h2>

The conclusion of the given conditional statement is:

You live in Arizona

<h2>Step-by-step explanation:</h2>

We know that a conditional statement is a statement in which with the help of some valid hypothesis we can reach to a valid conclusion.

The conditional statement is written in the form:

If p then q

where p is the hypothesis of the statement

and q is the conclusion of the statement.

We are given a conditional statement as:

If you live in Phoenix, then you live in Arizona.

Here

Hypothesis-- You live in Phoenix

and Conclusion-- You live in Arizona

Ksenya-84 [330]3 years ago

7 0

A conditional statement is simply an "if-then" statement.

The conclusion is the "then" part of the conditional statement.

So here, the conclusion is <em>you live in Arizona</em>.

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What is the solution? pls help

loris [4]

Answer:

Solve by substitution

[y=5/2x-4]

[y= -x+3]

Substitute y = -x +3

[-x+3=5/2x-4]

Isolate x for -x+3=5/2x-4: x=2

For y = -x+3

Substitute x = 2

y= -2+3

Simplify

y=1

The solutions to the system of equations are:

y=1 x=2

3 0

2 years ago

A car salesman sold a cat for $23,575, earning a commission of 4%. How much was his commission? '

Liono4ka [1.6K]

Answer:

The commission is 943

Step-by-step explanation:

Take the price of the cat and multiply by the commission rate

23575 * 4%

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943

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3 years ago

Which choice shows the coordinates of C' if the trapezoid is reflected across the y-axis?

nirvana33 [79]

Answer:

(5,3)

Step-by-step explanation:

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3 years ago

Read 2 more answers

The sum of two integers is 26. the sum of the squares of the two integers is 340. what is the product of the two numbers?

Phoenix [80]

Lets say that the two unknown integers are $n$ and $m$ .

We know the following things about $n$ and $m$ :

$n+m=26$
$n^2+m^2=340$

And, we want to find $nm$ .

To solve this, we'll use the expansion of the squared of the sum of any two inegers; this is expressed as:

$(n+m)^2=n^2+2nm+m^2$

So, given what we know about the unknown integers, the previous can be written as:

$(26)^2=340+2nm$

We can easily solve for $nm$ :

$nm= \frac{(26)^2-340}{2}= \frac{676-340}{2}= \frac{336}{2}=168$

The answer is 168.

Another approach to solve the problem is, from the two starting equations, compute the values of $n$ and $m$ , which are 12 and 14, and directly compute their product; however, the approach described is more elegant.

5 0

3 years ago

Question in picture<br><br>A) 16/63<br><br>B)-16/63<br><br>C) 63/16<br><br>D) -63/16

Orlov [11]

ANSWER
$\tan(x + y) = - \frac{63}{16}$

EXPLANATION

We were given that,

$\csc(x) = \frac{5}{3}$

This implies that,

$\sin(x) = \frac{3}{5}$

We use the Pythagorean identity

$\sin^{2} (x) + \cos^{2} (x)= 1$
to get,

$\cos(x) = \sqrt{1 - ( { \frac{3}{5} })^{2}} = \frac{4}{5}$

We were also given that,

$\cos(y) = \frac{5}{13}$

This means that,

$\sin(y) = \sqrt{1 - {( \frac{5}{13}) }^{2} } = \frac{12}{13}$

This is because,

$0 < \: x \: < \frac{\pi}{2}$

$0 < \: y \: < \frac{\pi}{2}$

This angles are in the first quadrant so we pick the positive values.

$\tan(x + y) = \frac{ \sin(x + y) }{ \cos(x + y) }$

$\tan(x + y) = \frac{ \sin(x ) \cos(y) + \sin(y) \cos(x) }{ \cos(x) \cos(y) - \sin(x) \sin(y) }$

$\tan(x + y) = \frac{ \frac{3}{5} \times \frac{5}{13} + \frac{12}{13} \times \frac{4}{5} }{ \frac{4}{5} \times \frac{5}{13} - \frac{3}{5} \times \frac{12}{13} }$

$\tan(x + y) = - \frac{63}{16}$

The correct answer is D

4 0

3 years ago