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2 years ago

5

Write a simplified polynomial expression in standard form to represent the area of the rectangle below: A picture of a rectangle

is shown with one side labeled as 5 x plus 2 and another side labeled as x minus 4. 5x2 18x − 2 5x2 13x 2 5x2 − 18x − 8 5x2 13x 8.

1 answer:

ElenaW [278]2 years ago

4 0

Answer:

d

Step-by-step explanation:

d

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Rewrite the expression in terms of the first power of the cosine: cos^4xtan^2x

N76 [4]

Here's how to rewrite cos^4x tan^2x in the first power of cosine.
See the attached image.

First step, find the trigonometric identity of tan^2x.
Then simply everything until you only get cos x.
Remove all the exponents. Simplify.

8 0

3 years ago

At a fixed operating setting, the pressure in a line downstream of a reciprocating compressor has a mean value of 950 kPa with a

prisoha [69]

Answer:

4.75% probability that the line pressure will exceed 1000 kPa during any measurement

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 950, \sigma = 30$

What is the probability that the line pressure will exceed 1000 kPa during any measurement

This is 1 subtracted by the pvalue of Z when X = 1000. So

$Z = \frac{X - \mu}{\sigma}$

$Z = \frac{1000 - 950}{30}$

$Z = 1.67$

$Z = 1.67$ has a pvalue of 0.9525

1 - 0.9525 = 0.0475

4.75% probability that the line pressure will exceed 1000 kPa during any measurement

7 0

3 years ago

If a+b = 7, and a² +b²=25<br>then ab = ?

Rama09 [41]

a2+b2=25

or, (a+b)^2-2ab=25

or, (7)^2-2ab=25 [a+b=7]

or, 49-25=2ab

or, 24/2=an

•°• ab=12....

3 0

3 years ago

Allisa [31]

Answer:

Perimeter = 17a

Area = 30 square meters

Step-by-step explanation:

Perimeter = 2b + 8 = 10b + 5 + a = 15ab + 2a - b = 17a

Area = 2 + 8 = 10 + 2 = 12 × 5 = 60 simplify

I honestly don't know if this is correct, I hope it is

8 0

2 years ago

Read 2 more answers

I need help on a question

schepotkina [342]

Given the figure of a regular pyramid

The base of the pyramid is a hexagon with a side length = 6

The lateral area is 6 times the area of one of the side triangles

So, the side triangle has a base = 6

The height will be:

$\begin{gathered} h^2=6^2+(\frac{\sqrt[]{3}}{2}\cdot6)^2=36+27=63 \\ h=\sqrt[]{63} \end{gathered}$

so, the lateral area =

$6\cdot\frac{1}{2}\cdot6\cdot\sqrt[]{63}=18\sqrt[]{63}$

3 0

1 year ago