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3 years ago

Please find the missing angle

Mathematics

1 answer:

Sergeu [11.5K]3 years ago

8 0

360 degrees in a circle

360 degrees minus 90 degrees (the right angle of the square) = 270 degrees

270 degrees divided by 2 = 135 degrees

f = 135 degrees

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larisa86 [58]

Answer:

it's probably be 93690 I'm probably wrong

5 0

3 years ago

Consider the following pair of equations: y = −2x + 8 y = x − 1 Explain how you will solve the pair of equations by substitution

Rzqust [24]

Y = -2x +8
y = x-1

y=y

-2x+8 = x-1

-3x = -1 -8

-3x = -9

3x = 9

x = 3

6 0

3 years ago

Use the properties of radicals to simplify the expression

Ludmilka [50]

Given:

The expression is

$\dfrac{\sqrt[3]{9}}{\sqrt[3]{4}}$

To find:

The simplified form of given expression.

Solution:

We have,

$\dfrac{\sqrt[3]{9}}{\sqrt[3]{4}}$

It can be written as

$\dfrac{\sqrt[3]{9}}{\sqrt[3]{4}}=\sqrt[3]{\dfrac{9}{4}}$ $\left[\because \dfrac{\sqrt[a]{x}}{\sqrt[a]{y}}=\sqrt[a]{\dfrac{x}{y}}\right]$

Therefore, the simplified form of given expression is $\sqrt[3]{\dfrac{9}{4}}$ .

Note: We can further simplify this expression but be need use exponential properties.

4 0

3 years ago

What is the slope of this line?

Lynna [10]

$\frac{ - 2}{2}$

8 0

4 years ago

Relationships between means, standard deviations, X values,and z-scores

Vlada [557]

Answer:

a) The average salary of firefighters in Portugal is $583.

b) The standard deviation of the salary of firefighters in Portugal is $319.8

Step-by-step explanation:

We are given the following in the question:

a) Standard Deviation, σ = $145.80

We are given that the distribution of salary of professor is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

A salary of $510.10 has a z-score of -0.50.

Putting values, we get,

$-0.50 = \displaystyle\frac{510.10-\mu}{145.80}\\\\\mu = 0.50(145.80) + 510.10\\\Rightarrow \mu = 583$

Thus, the average salary of firefighters in Portugal is $583.

b) Mean, μ = $2,132

We are given that the distribution of salary of computer programmers is a bell shaped distribution that is a normal distribution.

Formula:

$z_{score} = \displaystyle\frac{x-\mu}{\sigma}$

The salary of $2,291.90 has a z-score of +0.50

Putting values, we get,

$0.50 = \displaystyle\frac{2291.90-2132}{\sigma}\\\\\sigma= \frac{2291.90-2132}{0.50}\\\\\sigma = 319.8$

Thus, the standard deviation of the salary of firefighters in Portugal is $319.8

6 0

4 years ago