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2 years ago

What is 2/5 y + 1/5 x -0.2y-6+(-2)

Mathematics

1 answer:

Sliva [168]2 years ago

6 0

Answer:

$\frac{y}{5} + \frac{x}{5}-8$

Step-by-step explanation:

1) Simplify 2 /5y to 2y/5.

$\frac{2y}{5} + \frac{1}{5} x-0.2 y-6-2$

2) simplify 1/5x to x/5.

$\frac{2y}{5} +\frac{x}{5} -0.2y-6-2$

3) Collect like terms.

$(\frac{2y}{5} -0.2y) + \frac{x}{5} +(-6-2)$

4) Simplify.

$\frac{y}{5}+ \frac{x}{5} -8$

Therefor, the answer is y/5 + x/5 -8.

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Find A and C,Laws of sines and cosines

stealth61 [152]

Answer:

$AC=15.9976$

Step-by-step explanation:

Law of Sines: $\frac{sin(A)}{a} =\frac{sin(B)}{b} =\frac{sin(C)}{c}$

Step 1: Define

a = 8 ft

A = 30°

b = ?

B = 89°

Step 2: Substitute and Evaluate

$\frac{sin(30)}{8} =\frac{sin(89)}{b}$

$bsin(30)=8sin(89)$

$b=\frac{8sin(89)}{sin(30)}$

$b=16cos(1)$

$b=15.9976$

$AC=15.9976$

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3 years ago

How do you simplify sin 4 theta using the double angle theory?

S_A_V [24]

Double angle formulae involve trigonometric functions of double angles and in order to get its value you must consider the following:
-derive the double angle formula from additional formula
-write the formula for the angle in alternative form
-use the formula to write trigonometric expressions in different forms
-use the formula in the solution of trigonometric equations

And the answer would be 4sin(theta)cos(theta)cos(2theta)

3 0

3 years ago

The formula V=arh gives the volume of a cylinder with radius r and height h. Find the volume of a cylinder with radius (x + 4) c

marishachu [46]

Answer:

V = a (x + 4)*5 but see below.

Step-by-step explanation:

You're not going to get any kind of answer that gives V = 122 or some other pure number.

Formula

V = arh

Givens

a = pi * r

r = (x + 4)

h = 5cm

Solution

V = a * (x + 4)*5

V = pi * (x + 4)^2 * 5

There is no indication of which one to choose.

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3 years ago

Find the H.C.F of the following expressions.

MAVERICK [17]

Step-by-step explanation:

Hey there!

Please look your required answer in pictures.

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2 years ago

A scientist claims that 7% 7 % of viruses are airborne. If the scientist is accurate, what is the probability that the proportio

Reptile [31]

Answer:

The probability is $P(|p-\^{p}| > 0.03) = 0.0040$

Step-by-step explanation:

From the question we are told that

The population proportion is $p = 0.07$

The mean of the sampling distribution is $\mu_p = 0.07$

The sample size is n = 600

Generally the standard deviation is mathematically represented as

$\sigma_p = \sqrt{\frac{p (1 -p)}{n} }$

=> $\sigma_p = \sqrt{\frac{0.07(1 -0.07)}{600} }$

=> $\sigma_p = 0.010416$

Generally the probability that the proportion of airborne viruses in a sample of 600 viruses would differ from the population proportion by greater than 3% is mathematically represented as

$P(|p-\^{p}| > 0.03) = 1 - P(|p -\^{p}| \le 0.03)$