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3 years ago

6x + 15xy Looking For Factor

Mathematics

1 answer:

padilas [110]3 years ago

6 0

Answer:

x(6 + 15y)

Step-by-step explanation:

In this instance, you can divide by a factor of x.

6x/x = 6

15xy/x = 15y

Therefore, we are left with 6 + 15y.

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What is m∠1?............

gogolik [260]

the answer is 148

hope that helped lol

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3 years ago

If sin(x) = 5/13, and x is in quadrant 1, then tan(x/2) equals what?

Rufina [12.5K]

$x$ is in quadrant I, so $0$ , which means $0$ , so $\dfrac x2$ belongs to the same quadrant.

Now,

$\tan^2\dfrac x2=\dfrac{\sin^2\frac x2}{\cos^2\frac x2}=\dfrac{\frac{1-\cos x}2}{\frac{1+\cos x}2}=\dfrac{1-\cos x}{1+\cos x}$

Since $\sin x=\dfrac5{13}$ , it follows that

$\cos^2x=1-\sin^2x\implies \cos x=\pm\sqrt{1-\left(\dfrac5{13}\right)^2}=\pm\dfrac{12}{13}$

Since $x$ belongs to the first quadrant, you take the positive root ( $\cos x>0$ for $x$ in quadrant I). Then

$\tan\dfrac x2=\pm\sqrt{\dfrac{1-\frac{12}{13}}{1+\frac{12}{13}}}$

$\tan x$ is also positive for $x$ in quadrant I, so you take the positive root again. You're left with

$\tan\dfrac x2=\dfrac15$

4 0

3 years ago

A store is having a going -out-of buisness sale.a television set that orginally cost 3000 has been marked down by30% what do you

allsm [11]

2,247

Step-by-step explanation:

take 3000 and minus that by 30 percent, then after that, add 7 percent to get your total.

7 0

3 years ago

Sam really wanted to buy a car, but did not have the money at the moment. He was talking to the salesman and they said that he c

wolverine [178]

Answer:

1) $30,821 ( loan balance after 3 months in )

2) 8.56%

Step-by-step explanation:

Final Amount of compound interest: A = P ( 1 + i ) ^ n

p = principal = $30,000

r = interest rate = 11.41% = 0.1141

n = number of years

1) Loan balance after 3 months

n = 3/12 = 0.25 years

A = 30,000 ( 1 + 0.1141 ) ^ 0.25

= $30,821 ( loan balance after 3 months in )

2) Loan Balance after 1 year

A = 30,000 ( 1 + 0.1141 ) ^ 1

= $33423

interest on loan = 33423 - 30,000 = $3423

percentage of $40,000 is $3423

= 3423 / 40,000 * 100

= 8.56%

8 0

3 years ago

Helppppppppppppp meeeeeeeeee

kari74 [83]

42.50 is the answer because you have to add them and then divide the answer by 3

7 0

3 years ago