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victus00 [196]
3 years ago
14

An algebraic expression use to represent the number. One third subtracted from 3

Mathematics
1 answer:
Andrews [41]3 years ago
4 0

Answer:

m/3

Step-by-step explanation:

13 m or m 3

Explanation:One third = 13 (the number)'Of' = multiplication (symbol : ×)

a number m = m (variable)

One third of a number m= (one third)(a number m)= (13)(a variable)  = (13)

(m)= 13 m or m 3 since 13 m = m/3

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If cos(x) = Three-fourths and tan(x) < 0, what is cos(2x)?
makvit [3.9K]

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)

So, we have:

\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

6 0
2 years ago
Read 2 more answers
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IrinaK [193]

Answer:

True.

Step-by-step explanation:

It would be better if it was clearer, but I stand by my answer. "True".

6 0
2 years ago
The central angle of a circle is equal in measure to one radian when the corresponding arc length is equal to which of the follo
irinina [24]
The formula to find the arc length L is
L = r*theta
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If the central angle is 1 radian, then theta = 1 and
L = r*theta
L = r*1
L = r
So the arc length is the same as the radius

Answer: Choice A) The radius of the circle
5 0
3 years ago
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Answer:

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Step-by-step explanation:

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2 years ago
2(-3x + 4) + 3x – 3 = -29 Submit Answe​
ivolga24 [154]

Answer:

exact form:34/3

decimal form:11.3333333333

mixed number form: 11  1/3

Step-by-step explanation:

6 0
3 years ago
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