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2 years ago

Sinx + cosx= 1 then find the value of x

1 answer:

4 0

$1√2sinx+1√2cosx=1√2.

This can be written as

cos(x−π4)=cos(π4)

The general solution of this equation ls

x−.π4=2nπ±π4,n=0,±1,±2,...,

So, x=2nπandx=(4n+1)π2,n=0,±1,±2,±3....

 ANSWER: x=2nπandx=(4n+1)π2,n=0,±1,±2,±3....$

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Factor completely 10xy + 3y + 20ax + 6a.

stiv31 [10]

10 xy + 3y + 20 ax + 6a = y(10x+3) + a(20x+6) = y(10x+3)+2a(10x+6)=
(y+2a)(10x+3)

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3 years ago

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Find a polar equation for the curve represented by the given cartesian equation. X2 + y2 = 2cx

Tanzania [10]

Hi,

Work:

Equation;

$x2 + y2 = 2cx$

Factor out 2x from expression.

$2x \times (1 + yc)$

Use commutative property to reorder yc.

$2x \times (1 + cy) \: \: \: \: \: \: \: \: \: \: \: \: \: result$

Hope this helps.
r3t40

4 0

2 years ago

A random variable x takes four possible values, 0, 2, a, and b, where a and b are unknown numbers. if pr[x = 0] = 0.2, pr[x=2] =

Alexus [3.1K]

$\displaystyle\sum_{x\in\{0,2,a,b\}}\mathbb P(X=x)=1$
$\mathbb P(X=0)+\mathbb P(X=2)+\mathbb P(X=a)+\mathbb P(X=b)=1$
$0.2+0.4+0.3+\mathbb P(X=b)=1$
$\implies\mathbb P(X=b)=0.1$

$\mathbb E(X)=\displaystyle\sum_{x\in\{0,2,a,b\}}x\mathbb P(X=x)=2.8$
$0\mathbb P(X=0)+2\mathbb P(X=2)+a\mathbb P(X=a)+b\mathbb P(X=b)=2.8$
$0.8+0.3a+0.1b=2.8$
$0.3a+0.1b=2$

$a+b=6\implies0.3a+0.1b=0.2a+0.1(6)=2$
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2 years ago

Roger Brown works for the sanitation department. He earns a salary of $721.00 biweekly. His boss gave him

liq [111]

Answer:

2249 dollars more

Step-by-step explanation:

52 weeks in one year so divide by 2 and then multiply by 721 and then take that amount and dubtract the new salary 20.995 and subtract the previous annual amount and then boom 2295 more

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2 years ago

Daniel has 15 yards of fabric to make a baby blanket

zubka84 [21]

Answer:

Than the baby blanket area is 15 yards. The length is 5 yards and the width is 3 yards.

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2 years ago

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