Sin 3pi/4 is angle 135 degrees or 45 degrees below 180 degrees. Hence it's opposite side is 1 and adjacent is 1, implying the hypothenus is sqrt(2). Hence

Sin 3pi/4 = 1/sqrt(2). Now multiply by sqrt(2)/sqrt(2) to get:

[1/sqrt(2).] * [sqrt(2)/sqrt(2)] = sqrt2)/2

6 0

3 years ago

From $18 to $45 find each percent increase round to the nearest percent please help

lapo4ka [179]

<h2>Greetings!</h2>

Answer:

250%

Step-by-step explanation:

To find the percent increase, divide the end amount by the primary amount:

45 ÷ 18 = 2.5

Now simply multiply this value by 100:

2.5 x 100 = 250

So the percent increase is 250%!

<h2>Hope this helps!</h2>

3 0

2 years ago

Read 2 more answers

The times required for a delivery firm to transport a package from one business address to another in the same metropolitan area

gladu [14]

Answer:

Step-by-step explanation:

Since; the density function diagrams were not included in the question; we will be unable to determine the best which depicts this problem.

However;

Let use X to represent the time required for the delivery.

Then X~N(3.8 ,0.8)

i.e

E(x) = 3.8

s.d(x) = 0.8

NOW; P(x>4) = P(X-3.8/0.8 > 4-3.8/0.8)

= P(Z > 0.25)

= 1-P(Z < 0.25)

=1 - Φ (0.25)

= 1 - 0.5987 ( from Normal table Φ (0.25) = 0.5987 )

= 0.4013

Thus; the probability a single delivery would take more than 4 hours is 0.4013

What is the z value corresponding to the interval boundary?

The z value is calculated as:

$z = \dfrac{X- \mu}{\sigma}$

$z = \dfrac{4- 3.8}{0.8}$

z = 0.25

3 0

2 years ago

Which organism is a tertiary consumer in this ecosystem?

tensa zangetsu [6.8K]

Answer:

hawk

Step-by-step explanation:

because it also eats big animals like foxes and baby lambs

7 0

2 years ago