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Effectus [21]
3 years ago
8

5•x=12 help me help me!

Mathematics
1 answer:
Zarrin [17]3 years ago
4 0

Answer:

x=2.4

Step-by-step explanation:

5·x=5x

5x=12

12/5=2.4

x=2.4

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Sari has 3 times as many pencil erasers asSam. Together they have 28 erasers. How many erasers does Sari have?
wel

3x +x = 28

4x = 28

x = 28/4 = 7

7x3 = 21

Sari has 21 erasers

4 0
3 years ago
Given: cosθ= -4/5 , sin x = -12/13 , θ is in the third quadrant, and x is in the fourth quadrant; evaluate tan 1/2 θ
mrs_skeptik [129]

Answer:

Step-by-step explanation:

If you're looking for what the half angle of the tangent of theta is, I'm a bit confused as to why you think the angle in the 4th quadrant, x, is relevant.  But maybe you don't know it isn't and it's a "trick" to throw you off.  Hmm...

Anyways, the half angle identity for tangent is

tan(\frac{\theta}{2})=\frac{sin\theta}{1+cos\theta}

There are actually 3 identities for the tangent of a half angle, but this one works just as well as either of the others do, so I'm going with this one.  

If theta is in QIII, the value of -4 goes along the x axis and the hypotenuse is 5.  That makes the missing side, by Pythagorean's Theorem, -3.  Filling in our formula:

tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{1+(-\frac{4}{5}) } which simplifies a bit to

tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{\frac{5}{5} -\frac{4}{5} }  and a bit more to

tan(\frac{\theta}{2})=\frac{-\frac{3}{5} }{\frac{1}{5} }

Bring up the lower fraction and flip it to divide to get

tan(\frac{\theta}{2})=-\frac{3}{5}*\frac{5}{1} which of course simplifies to

-3.  Choice A.

6 0
3 years ago
What is the slope of a line that is perpendicular to the graph of y = –3x?
Morgarella [4.7K]

Step-by-step explanation:

Hey there!

The equation is; y= -3x

or, 3x+y = 0.......... (I)

From equation (I)

slope(m1) =  \frac{ - coeff. \: of \: x}{coeff. \: of \: y}

m1=  \frac{ - 3}{1}

Therefore, m= -3

Now, As per the condition of perpendicular lines;

M1*M2 = -1

-3*M2 = -1

M2= -1/-3

Therefore, the slope of a line which is perpendicular to the equation is; 1/3.

<em><u>Hope</u></em><em><u> </u></em><em><u>it</u></em><em><u> helps</u></em><em><u>.</u></em><em><u>.</u></em><em><u>.</u></em>

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3 years ago
One-third of the dairy cattle on a farm are in the barn. Three-fifths of the beef cattle are in the barn. There are 30 dairy cat
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There are 50 more dairy cattle than beef cattle.
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Please help me with this math problem
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It should be c really hope this helps and im right have a blessed day:)

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