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3 years ago

6

Please help me with this problem.

1 answer:

MrRa [10]3 years ago

3 0

Step-by-step explanation:

$cos(x + 45 \degree) + cos(x - 45 \degree) = \sqrt{2} \\ cosx \: cos45 \degree - sinx \: sin45 \degree \\ + cosx \: cos45 \degree + sinx \: sin45 \degree = \sqrt{2} \\ 2cosx \: cos45 \degree = \sqrt{2} \\ 2cosx \times \frac{1}{ \sqrt{2} } = \sqrt{2} \\ 2cosx = \sqrt{2} \times \sqrt{2} \\ 2cosx = 2 \\ cosx = \frac{2}{2} \\ cosx = 1 \\ cosx = cos \: 0 \degree \\ \huge \red{ \boxed{ x = 0 \degree}} \\$

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Ten thousand more than 300,000+90,000+5000+40

mina [271]

300,000+90,000+5,000+40=395,040
395,040+10000=405,040

6 0

3 years ago

The population of a city has decreased by 38% since it was last measured. If the current population is 27,900, what what the pre

Varvara68 [4.7K]

<u>Answer: </u>

The population of a city has decreased by 38% since it was last measured. If the current population is 27,900 .Previous population of city was 45000.

<u> Solution: </u>

Given that current population of city is 27900.

Also, population of a city has decreased by 38% since it was last measured.

Let assume that population of city when it was last measured = x

Decreased of 38% means x-38% of x . we can write this as,

$=x-\frac{38}{100} \times x$

$=\frac{100 x-38 x}{100}$

$=\frac{62 x}{100}=\frac{31 x}{50}$

So current population is $\frac{31 x}{50}$

Equating above expression to the given value of current population, we get

$\frac{31 x}{50}=27900$

$x=\frac{27900 \times 50}{31}$

x=45000

Hence previous population of city was 45000.

7 0

3 years ago

The cost, in dollars, of producing x belts is given by Upper C (x )equals 970 plus 12 x minus 0.076 x squared. The revenue, i

umka21 [38]

Answer:

$68.44 for each additional belt

Step-by-step explanation:

The cost and revenue functions are:

$C(x) = 970+12x - 0.076x^2\\R(x) =43x^{\frac{3}{4}}$

The profit function, P(x), is given by subtracting the cost function from the revenue function.

$P(x) = R(x) - C(x)\\P(x)=43x^{\frac{3}{4}}+0.076x^2-12x-970\\$

The derivate of the profit function gives us the rate at which profit changes:

$\frac{dP(x)}{dx} =P'(x)=32.25x^{\frac{-1}{4}}+0.152x-12\\$

For x = 484, the rate of change is:

$P'(484)=32.25*484^{\frac{-1}{4}}+0.152*484-12\\P'(484) = \$68.44/belt$

Profit is increasing by $68.44 for each additional belt

3 0

3 years ago

Need the answer please answer my question

meriva

Answer:

166.336 Cubic Centimeters

Step-by-step explanation:

Volume is calculated by L x W x H

11.3 x 4.6 x 3.2 is 166.336

3 0

2 years ago

A cylinder and a cone have the same volume. the cylinder has a radius of 2 inches and a height of 3 inches. the cone has a radiu

Sati [7]

Answer:h = y^2 / 27

Step-by-step explanation:

Volume of a cylinder = pi*(xx)^2*yy

= x^4*pi*yy

Volume of a cone = 1/3*pi*(9x^2)^2*h

= 27pi*x^4*h

x^4*pi*y^2 = 27pi*x^4*h

h = y^2 / 27

4 0

3 years ago

Read 2 more answers