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never [62]
3 years ago
14

What value of Y makes the equation true ?

Mathematics
1 answer:
Viefleur [7K]3 years ago
4 0

Answer:

y = -5/2 or -2.5

Step-by-step explanation:

3y + 4 = -y - 6

<em>add y to both sides</em>

4y + 4 = -6

<em>subtract 4 from both sides</em>

4y + 4 - 4 = - 6 - 4

4y = -6 - 4

4y = -10

<em>divide both sides by 4</em>

4y/4 = -10/4

y = -10/4

y = -5/2 or -2.5

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3241004551 [841]
<h3>Sin\theta_{1}=\frac{3\sqrt{21}}{17}</h3>

Solution given:

Cos\theta_{1}=\frac{10}{17}

\frac{adjacent}{hypotenuse}=\frac{10}{17}

equating corresponding value

we get

adjacent=10

hypotenuse=17

perpendicular=x

now

by using Pythagoras law

Hypotenuse ²=perpendicular²+adjacent ²

substituting value

17²=x²+10²

17²-10²=x²

x²=17²-10²

x²=189

doing square root

\sqrt{x²}=\sqrt{189}

x=3\sqrt{21}

now

In I Quadrant sin angle is positive

Sin\theta_{1}=\frac{perpendicular}{hypotenuse}

<h3>Sin\theta_{1}=\frac{3\sqrt{21}}{17}</h3>
7 0
3 years ago
Read 2 more answers
3(x-4)=-5 solve for x
tiny-mole [99]

Answer:

x = 7/3

Step-by-step explanation:

3(x-4)=-5

Distribute

3x - 12 = -5

Add 12 to each side

3x -12+12 = -5+12

3x = 7

Divide by 3

3x/3 = 7/3

x = 7/3

5 0
4 years ago
Read 2 more answers
Please help with 4. And 5
Hoochie [10]
More info please thanks
6 0
4 years ago
Which equation can be used to solve for the measure of
lapo4ka [179]

tanx = 36

Step-by-step explanation:

tabsnmshsggshsjsjsksmsndndndjf

6 0
3 years ago
The probability that a house in an urban area will develop a leak is 55​%. if 2020 houses are randomly​ selected, what is the pr
k0ka [10]
<span>The probability that a house in an urban area will develop a leak is 55​%. if 20 houses are randomly​ selected, what is the probability that none of the houses will develop a​ leak? round to the nearest thousandth.

Use binomial distribution, since probability of developing a leak,  p=0.55 is assumed constant, and
n=20, x=0
and assuming leaks are developed independently between houses,
P(X=x)
=C(n,0)p^x* (1-p)^(n-x)
=C(20,0)0.55^0 * (0.45^20)
=1*1*0.45^20
=1.159*10^(-7)
=0.000

</span>
7 0
4 years ago
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