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2 years ago

Her the

Mathematics

1 answer:

Otrada [13]2 years ago

5 0

Answer:

13. m∠MN + m∠NMP = m∠MP.

14. m∠NMP - m∠OMP = m∠NMO.

15. x = 3 + y and -2y + 3 < -1 : Given

16. x > y : x = 3 + y

17. -2y < -4 : -2y < -4

18. y > 2 : y > 2

19. x > 2 : x = 3 + y and y > 2

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For the function h(x) defined below, find function f(x) and g(x) so that h(x)=(f^ g)(x) . h(x) = ((x + 2)/x) ^ 3

dem82 [27]

Answer:

Step-by-step explanation:

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3 years ago

Manuel earns $7.25 per hour helping his neighbor. Last month he earned $348. Choose the correct equation and solution which dete

zysi [14]

Answer:

Number of hours= 48 hours

Step-by-step explanation:

Giving the following information:

Hourly rate= $7.25

Total earned= $348

To calculate the number of hours worked, we need to use the following formula:

Total earned= hourly rate*number of hours

number of hours= total earned / hourly rate

number of hours= 348 / 7.25

number of hours= 48 hours

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3 years ago

Given: cos α = 4/5, sin β= 4/5, and α and β are both in quadrant 1. find sin (α+β)

mezya [45]

We have the formula (sin x)^2 + (cos x)^2 = 1;
Then, sin α = $\sqrt{1- ( \frac{4}{5}) ^{2} } = \frac{3}{5} ;$
cos β = $\sqrt{1- ( \frac{4}{5}) ^{2} } = \frac{3}{5} ;$
We apply the formula sin ( α + β ) = sin α x cos β + sin β x cos α = (3/5)x(4/5) + (4/5)x(3/5) = 12/25 + 12/25 = 24/25;

8 0

4 years ago

Write the slope-intercept form of the equation of the line described below.

prisoha [69]

The equation of the line is $y=-\frac{2}{5}x-5$

Explanation:

Given that the line passes through the points (-5,-3)

The slope of the line is $m=-\frac{2}{5}$

We need to determine the equation of the line.

Equation of the line:

The equation of the line can be determined using the formula,

$y-y_1=m(x-x_1)$

Let us substitute the points (-5,-3) and the slope $m=-\frac{2}{5}$ in the above formula.

Thus, we have;

$y+3=-\frac{2}{5}(x+5)$

Simplifying, we get;

$y+3=-\frac{2}{5}x-2$

Subtracting 3 from both sides of the equation, we get;

$y=-\frac{2}{5}x-5$

Hence, the equation of the line in slope - intercept form is $y=-\frac{2}{5}x-5$

4 0

3 years ago

Let U = {3, 6, 9, 12, 15, 18, 21, 24} and A = {9, 12, 15, 21}. A'

miskamm [114]

Answer:

A¹ = { 3 , 6, 18 , 24}

Step-by-step explanation:

Explanation:-

Universal set

If all the sets under consideration are the subsets of a fixed set 'U' then the set 'U' is called the Universal set.

Given U = {3, 6, 9, 12, 15, 18, 21, 24}

Given A = {9, 12, 15, 21}

Compliment Of A

The Complement of a set A is all the objects that do not belong to set A

The Compliment of A is denoted by A¹

A¹ = U - A

= {3, 6, 9, 12, 15, 18, 21, 24} - {9, 12, 15, 21}

A¹ = { 3 , 6, 18 , 24}

4 0

3 years ago