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2 years ago

What is the force, in N, when a pressure of 18 N/m2 is exerted on an area of 500 cm2?

Mathematics

1 answer:

zalisa [80]2 years ago

4 0

Answer: 1.6 N/cm^2

Step-by-step explanation:

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Simplify the left side of equation so it looks like the right side. cos(x) + sin(x) tan(x) = sec (x)

uranmaximum [27]

Step-by-step explanation:

Consider LHS

$\cos(x) + \sin(x) \tan(x) = \sec(x)$

Apply quotient identies

$\cos(x) + \sin(x) \times \frac{ \sin(x) }{ \cos(x) } = \sec(x)$

Multiply the fraction and sine.

$\cos(x) + \frac{ \sin {}^{2} (x) }{ \cos(x) } = \sec(x)$

Make cos x a fraction with cos x as it denominator.

$\cos(x) \times \cos(x) = \cos {}^{2} (x)$

$\frac{ \cos {}^{2} (x) }{ \cos(x) } + \frac{ \sin {}^{2} (x) }{ \cos(x) } = \sec(x)$

Pythagorean Identity tells us sin squared and cos squared equals 1 so

$\frac{1}{ \cos(x) } = \sec(x)$

Apply reciprocal identity.

$\sec(x) = \sec(x)$

7 0

3 years ago

The weekly incomes of a large group of executives are normally distributed with a mean of $2,000 and a standard deviation of $10

8_murik_8 [283]

Answer:

The z-score for an income of $2,100 is 1.

Step-by-step explanation:

If X $\sim$ N (µ, σ²), then $Z=\frac{x-\mu}{\sigma}$ , is a standard normal variate with mean, E (Z) = 0 and Var (Z) = 1. That is, Z $\sim$ N (0, 1).

The distribution of these z-variate is known as the standard normal distribution.

Given:

µ = $2,000

σ = $100

x = $2,100

Compute the z-score for the raw score x = 2100 as follows:

$Z=\frac{x-\mu}{\sigma}=\frac{2100-2000}{100}=\frac{100}{100}=1$

Thus, the z-score for an income of $2,100 is 1.

4 0

3 years ago

----------- are used to represent an unknown quantity in a mathematical expression.

anastassius [24]

A letter or symbol is used to represent an unknown quantity

4 0

2 years ago

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Suppose two parallel lines are cut by a transversal. What angle relationships describe congruent angles in this context?

baherus [9]

Answer:

Corresponding angles

Step-by-step explanation:

In elementary geometry the word congruent is often used as follows.

Two line segments are congruent if they have the same length.

Two angles are congruent if they have the same measure.

Two circles are congruent if they have the same diameter.

The eight angles that are produced as a result of two parallel lines are cut by a transversal will together form four pairs of corresponding angles. Corresponding angles are congruent. All angles that have the same position with regards to the parallel lines and the transversal are corresponding pairs.

5 0

3 years ago

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Solve for x (13x + 2) (5x - 7) (3x - 4) Thank you

Law Incorporation [45]

$\huge \bf༆ Answer ༄$