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weqwewe [10]
2 years ago
7

If 6:2:8:x, then a. 2x=14 b. 2x=48 c. 6x=10 d. 6x=16

Mathematics
1 answer:
Annette [7]2 years ago
3 0

Answer:

D) 6x=16

Step-by-step explanation:

6 : 2 = 8 : x  

=> x = 8/(6/2 )  

=> x = 8/3  

=> 6x = (8/3) * 6 = 8 * 2 = 16  

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Solve the equation for all real values of x.<br> cosxtanx - 2 cos x=-1
IceJOKER [234]

Solution to equationcosxtanx - 2 cos^2 x=-1 for all real values of x is  x=2k\pi + \frac{\pi}{6}  , x=2k\pi + \frac{5\pi}{6} .

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

Here we have , cosxtanx - 2 cos^2 x=-1. Let's solve :

⇒  cosxtanx - 2 cos^2 x=-1

⇒  cosx(\frac{sinx}{cosx}) - 2 cos^2 x=-1

⇒  sinx = 2 cos^2 x-1

⇒  sinx = 2 (1-sin^2x)-1

⇒  sinx = 1-2sin^2x

⇒  2sin^2x+sinx-1=0

By quadratic formula :

⇒ sinx = \frac{-b \pm \sqrt{b^2-4ac} }{2a}

⇒ sinx = \frac{-1 \pm \sqrt{1^2-4(2)(-1)} }{2(2)}

⇒ sinx = \frac{-1 \pm3}{4}

⇒ sinx = \frac{1}{2} , sinx =-1

⇒ sinx = sin\frac{\pi}{6} , sinx = sin\frac{3\pi}{2}

⇒ x=\frac{\pi}{6} , x=\frac{3\pi}{2}

But at x=\frac{3\pi}{2} we have equation undefined as cos\frac{3\pi}{2}=0 . Hence only solution is :

⇒ x=\frac{\pi}{6}

Since , sin(\pi -x)=sinx

⇒ x=\pi -\frac{\pi}{6} = \frac{5\pi}{6}

Now , General Solution is given by :

⇒ x=2k\pi + \frac{\pi}{6}  , x=2k\pi + \frac{5\pi}{6}

Therefore , Solution to equationcosxtanx - 2 cos^2 x=-1 for all real values of x is  x=2k\pi + \frac{\pi}{6}  , x=2k\pi + \frac{5\pi}{6} .

3 0
3 years ago
Aldon and Jamal raised the same amount of money for the school fundraiser. Aldon
Naddika [18.5K]

Answer: $5

Step-by-step explanation: This can be represented by the equation

40 + 12T = 25 + 15T

We just solve for T.

Subtract 12T from both sides

40 = 25 + 3T Subtract 25

15 = 3T Divide by 3

5 = T

7 0
3 years ago
Write 10 5/12 as an equivalent improper fraction.
allochka39001 [22]

125/12 would be your equivalent improper fraction

3 0
2 years ago
Read 2 more answers
£99 is shared in the ratio 6 : 5<br><br> What is the larger share?
nordsb [41]

Answer:

54

Step-by-step explanation:

6x + 5x = 99

11x = 99

x=99/11

x=9

6x = 6x9 = 54

5x = 5x9 = 45

<em>ans: </em><u><em>54</em></u>

4 0
2 years ago
If the market price for chair is $24 in the marginal cost for the chairs seven dollars the marginal revenue from the chair would
joja [24]
$17 (it's just the market price - the marginal cost)
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