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2 years ago

Simplify sin(3pi minus x)

Mathematics

1 answer:

Slav-nsk [51]2 years ago

8 0

Answer:

sinx

Step-by-step explanation:

hello :

note :

for all x in ℝ : 1) sin(x+2π) = sinx 2) sin(π-x) = sinx

in this exercice :

3π - x = 2π+(π - x)

sin(3π - x) = sin(2π +(π - x)) =sin(π-x) = sinx

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Which represents a side length of a square that has an area of 450 square inches?

amm1812

The formula of an area of a square:

$A=a^2$

a - a side

We have $A=450\ in^2$

substitute:

$a^2=450\to a=\sqrt{450}\\\\a=\sqrt{225\cdot2}\\\\a=\sqrt{225}\cdot\sqrt2\\\\\boxed{a=15\sqrt2\ in}$

Used:

$\sqrt{a\cdot b}=\sqrt{a}\cdot\sqrt{b}$

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2 years ago

Based on the side lengths given (a, b, and c), which triangles are right triangles?

Mekhanik [1.2K]

Answer:

B & C

Step-by-step explanation:

Use the Pythagorean Theorem: a^2 + b^2 = c^2

A) 18^2 + 24^2 = 2,088 | 42^2 = 1,764 [NOT A]

B) 33^2 +56^2 = 4,225 | 65^2 = 4,225 [B IS CORRECT]

C) 19^2 + 180^2 = (32,761) = 181^2 = (32,761) [C IS CORRECT]

D) 3^2 + 4^2 = 25 | 7^2 = 49 [NOT D]

I hope this helped you ! In return, please deem this the most brainliest answer.

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2 years ago

Explain why 48 divided by x equal 6 is the same as 48-x-x-x-x-x-x

zhannawk [14.2K]

Answer:

Step-by-step explanation:

Well, they are not the same. For one thing, 48÷x = 6 is an equation.

48-x-x-x-x-x-x is an expression, not an equation.

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2 years ago

342 is the product of q and 214

Law Incorporation [45]

Answer:

What's the question?

Step-by-step explanation:

342 is the product of q and 214

7 0

2 years ago

Read 2 more answers

Last year, 50% of MNM. Inc. employees were female. It is believed that there has been a reduction in the percentage of females i

Serhud [2]

Answer:

We conclude that there has been a significant reduction in the proportion of females.

Step-by-step explanation:

We are given the following in the question:

Sample size, n = 400

p = 50% = 0.5

Alpha, α = 0.05

Number of women, x = 118

First, we design the null and the alternate hypothesis

$H_{0}: p = 0.50\\H_A: p < 0.50$

This is a one-tailed test.

Formula:

$\hat{p} = \dfrac{x}{n} = \dfrac{118}{400} = 0.45$

$z = \dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}$

Putting the values, we get,

$z = \displaystyle\frac{0.45-0.50}{\sqrt{\frac{0.50(1-0.50)}{400}}} = -2$

Now, we calculate the critical value.

Now, $z_{critical} \text{ at 0.05 level of significance } = -1.645$

Since the calculated z-statistic is less than the critical value, we fail to accept the null hypothesis and reject it. We accept the alternate hypothesis.

Thus, there has been a significant reduction in the proportion of females.

3 0

2 years ago