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2 years ago

3. What is the measure of angle B from the right triangle below?

Mathematics

1 answer:

Talja [164]2 years ago

8 0

Answer:

angle B = 78.46°

Step-by-step explanation:

Use the cosine ratio

$cosB=\frac{2}{10} =0.2$

$B=cos^{-1} (0.2)=78.46^{0}$

Hope this helps

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Write an equation for each linear function described. Show your work. The graph of the function passes through the point (2,1),

svp [43]

Step-by-step explanation:

The graph of the function passes through the point (2,1), and

y increases by 4 when x increases by 1.

x y

2 1

3 5

4 9

5 13

6 17

and so on

From the table:

$\mathrm{Slope\:between\:two\:points}:\quad \mathrm{Slope}=\frac{y_2-y_1}{x_2-x_1}$

$\left(x_1,\:y_1\right)=\left(2,\:1\right),\:\left(x_2,\:y_2\right)=\left(3,\:5\right)$

$m=\frac{5-1}{3-2}$

$m=4$

As the slope-intercept form of the line is

$y=mx+b$

putting m=4 and any point, let say (2, 1) to find y-intercept 'b'.

$1=\left(4\right)2+b$

$8+b=1$

$8+b-8=1-8$

$b=-7$

So putting $b=-7$ and $m=4$ in the slope-intercept form of the line

$y=\left(4\right)x+\left(-7\right)$

$y=4x-7$

Therefore, the equation for the linear function will be:

$y=4x-7$

8 0

3 years ago

Factor the trinomial. Factor out the GCF first.<br> 5x^2y - 30xy^2 - 35y^3

anzhelika [568]

Answer: $5x^2y - 30xy^2 - 35y^3=5y(x+y)(x-7y)$

Step-by-step explanation:

GCF = Greatest common factor.

For example: 6 is the GCF of 12 and 18.

The given expression: $5x^2y - 30xy^2 - 35y^3$

It can be written as

$5x^2y - (5\times6)x( y\times y) - (5\times7)(y^2\times y)$

Taking out common factor $5y$ , we get

$5y(x^2-6xy-7y^2)\\\\ =5y(x^2+xy-7xy-7y^2)\ \ [\because-6xy=xy-7xy]\\\\=5y(x(x+y)-7y(x+y))\\\\= 5y((x+y)(x-7y))\\\\=5y(x+y)(x-7y)$

Hence, $5x^2y - 30xy^2 - 35y^3=5y(x+y)(x-7y)$

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3 years ago

What is 9 over 5 in a percent

Nataly_w [17]

So you convert the fraction into a decimal then multiply it by 100 so the percentage would be 180%

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3 years ago

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(1 + 7m)(4) what is it simplified

jek_recluse [69]

Answer
4+21m
Explanation
Use the distributive property 4 times 1 and 4 times 7m keep the m

4 0

2 years ago

The average number of employees that call in sick for the day over the course of a year is 25.

sveta [45]

Answer:

Step-by-step explanation:

The mean of a set of numbers is the sum divided by the number of terms.

x¯= <u>25+10+16+39+27+25+32+25+25+22+28+14</u>

<h3>Simplify the numerator. </h3>

x¯ = <u>261.27</u>

<h3>Divide 261.27 by 11 </h3>

x¯= 23.75 18

<h3>Divide. </h3>

x¯= 23.75 18

The mean should be rounded to one more decimal place than the original data. If the original data were mixed, round to one decimal place more than the least precise.

x¯=23.8

<h3>Simplify each value in the list. </h3>

25,10,16,39.27,25,32,25,25,22,28,14

Set up the formula for sample standard deviation. The standard deviation of a set of values is a measure of the spread of its values.

s= n^∑ i=1 √(<u>xi−xavg</u>)²

N-1

Set up the formula for standard deviation for this set of numbers.

s= ⎷(25−23.8)²+(10−23.8)²+(16−23.8)²+(39.27−23.8)²+(25−23.8)²+<u>(32−23.8)²+(25−23.8)²+(25−23.8)²+(22−23.8)²+(28−23.8)²+(14−23.8)</u>²

11−1

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s= √68.05209

The standard deviation should be rounded to one more decimal place than the original data. If the original data were mixed, round to one decimal place more than the least precise.

8.2

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3 years ago

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