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3 years ago

Find cos x if sin x =0.82.

Mathematics

1 answer:

True [87]3 years ago

5 0

Answer:

cosx= 35. Use Trignometrical identity cosx = √1−sin2x . cos x = √1−1625 = √925 = 35 to be the ...

Missing: =0.82 ‎| Must include: =0.82

Step-by-step explanation:

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Find the missing exponent. 10 =1,000

Hoochie [10]

Answer:

$10^3$

Step-by-step explanation:

An easy way to get exponents done if you're dealing with a multiple of 10, is to count the number of 0's present.

Since there are 3 0's in 1000, 10*10*10 = 1000 which just so happens to be the exponent needed

5 0

2 years ago

A sanitary landfill has available space of 16.2 ha at an average depth of 10 m. Seven hundred sixty-five (765) cubic meters of s

AfilCa [17]

Answer:

16.3 years

Step-by-step explanation:

1 ha = 10,000 m^2

The total capacity of the landfill is:

$C = 16.2*10,000*10 = 1,620,000\ m^3$

If waste is compacted to twice its delivered density, its volume is half of the delivered volume. Assuming that a year has 52 weeks, the volume of compacted solid waste dumped per year is:

$V=52*(5*0.5*765)\\V=99,450\ m^3$

The expected life of the landfill is given by its capacity divided by the yearly volume:

$L=\frac{C}{V}=\frac{1,620,000}{99,450} \\L=16,3\ years$

The landfill has an expected life of 16.3 years.

6 0

3 years ago

A group consists of fivefive men and fivefive women. ThreeThree people are selected to attend a conference. a. In how many ways

dem82 [27]

a). Three people can be selected from a group of ten in

(10 · 9 · 8) = 720 ways.

(But every group of 3 different people can be selected in 6 different ways. So there are actually only (720/6) = 120 different groups of 3 different people.)

b). Three women can be selected from a group of five women in

(5 · 4 · 3) = 60 ways.

(But every group of 3 different women can be selected in 6 different ways. So there are actually only (60/6) = 10 different groups of 3 different women.)

c). Start with 3 men and 3 women.

The probability of the first selection being a woman is (3/6) = 50% .

Then there are 3 men and 2 women.

The probability of the 2nd selection being a woman is (2/5) = 40% .

Then there are 3 men and 1 woman.

The probability of the 3rd selection being a woman is (1/4) = 25% .

The probability of all 3 selections being women is

(50% ·40% ·25%) = (0.5 ·0.4 ·0.25) = 0.05

The probability that the selected group will consist of all women is 5% .

8 0

3 years ago

Do you know the answer to this one I need answer plz

Jlenok [28]

The correct option is first option: x=t(y-4f)

Further explanation:

Given equation is:

$\frac{x}{t}+4f=y$

In order to solve the equation for x, we have to isolate x on one side of the equation

Using Subtraction property of equality

Subtracting 4f from both sides

$\frac{x}{t}+4f-4f=y-4f\\\frac{x}{t}=y-4f$

Multiplication property of equality

Multiplying both sides by t

$\frac{x}{t}*t=t(y-4f)\\x=t(y-4f)$

Hence, the correct option is first option: x=t(y-4f)

Keywords: Linear equation, Equation solution

Learn more about keywords about:

#LearnwithBrainly

7 0

3 years ago

Please help with step by step

gregori [183]

$f(x)=10e^{\frac{x-1}{2}}$

substitute f(x) for y
$y=10e^{\frac{x-1}{2}}$

solve for x

$\frac{y}{10}=e^{\frac{x-1}{2}}$

$ln( \frac{y}{10}) = \frac{x-1}{2}$

$2ln( \frac{y}{10})=x-1$

$2ln( \frac{y}{10})+1 =x$

$2ln( \frac{y}{10})$ is esquivent to $2ln(y) - 2ln(10)$

$2ln(y)-2ln(10)+1=x$

Change x to y and y to x

$2ln(x)-2ln(10)+1=y$

Flip formula and substitute y for g(x)

$g(x)=2ln(x)-2ln(10)+1$

7 0

3 years ago