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elena-s [515]
11 months ago
8

Which sign makes the statement true? (3 × 7) 21 = 1

Mathematics
1 answer:
Aleksandr-060686 [28]11 months ago
8 0

The sign that would make the statement true is the division sign which would then make the full expression, (3 × 7) ÷ 21 = 1.

<h3>How to find the sign?</h3>

The statement given is (3 × 7) 21 = 1. There is therefore a need to find the sign that would be between the brackets and "21" which would lead to the answer being 1.

The brackets have to be solved first according to the PEMDAS rule which calls for parenthesis being solved first.

Solving the expression in the brackets gives:

= 3 x 7

= 21

We therefore need a sign that when related to 21 would give the result, 1.

The only sign that can relate 21 to 21 such that the answer would be 1, is division:
= 21 / 21

= 1

In conclusion, the sign that would make the statement true is a division sign.

Find out more on mathematical signs at brainly.com/question/24034494

#SPJ1

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If cos(x) = Three-fourths and tan(x) &lt; 0, what is cos(2x)?
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Step-by-step explanation:

The value of sin(2x) is \sin(2x) = - \frac{\sqrt{15}}{8}sin(2x)=−

8

15

How to determine the value of sin(2x)

The cosine ratio is given as:

\cos(x) = -\frac 14cos(x)=−

4

1

Calculate sine(x) using the following identity equation

\sin^2(x) + \cos^2(x) = 1sin

2

(x)+cos

2

(x)=1

So we have:

\sin^2(x) + (1/4)^2 = 1sin

2

(x)+(1/4)

2

=1

\sin^2(x) + 1/16= 1sin

2

(x)+1/16=1

Subtract 1/16 from both sides

\sin^2(x) = 15/16sin

2

(x)=15/16

Take the square root of both sides

\sin(x) = \pm \sqrt{15/16

Given that

tan(x) < 0

It means that:

sin(x) < 0

So, we have:

\sin(x) = -\sqrt{15/16

Simplify

\sin(x) = \sqrt{15}/4sin(x)=

15

/4

sin(2x) is then calculated as:

\sin(2x) = 2\sin(x)\cos(x)sin(2x)=2sin(x)cos(x)

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\sin(2x) = -2 * \frac{\sqrt{15}}{4} * \frac 14sin(2x)=−2∗

4

15

∗

4

1

This gives

\sin(2x) = - \frac{\sqrt{15}}{8}sin(2x)=−

8

15

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