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2 years ago

Given right triangle MNL, what is the value of cos(M)?

Mathematics

2 answers:

mr Goodwill [35]2 years ago

8 0

Answer:

C / four-fifths

Step-by-step explanation:

hram777 [196]2 years ago

3 0

Answer: C

Step-by-step explanation: I got a 100% , you can trust me :)

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The function f(x) = One-sixth (two-fifths) Superscript x is reflected across the y-axis to create the function g(x). Which order

Gekata [30.6K]

The ordered pair (-3 , $\frac{4}{375}$ ) is on g(x) ⇒ 1st answer

Step-by-step explanation:

Let us revise the reflection across the axes

If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x) (change the sign of y)
If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x) (change the sign of x)

∵ $f(x)=\frac{1}{6}(\frac{2}{5})^{x}$

∵ f(x) is reflected across the y-axis to create the function g(x)

- Change the sign of x

∴ $g(x)=\frac{1}{6}(\frac{2}{5})^{-x}$

To find the point that lies on g(x) substitute x in g(x) by the x-coordinate of the point if the answer equal to the y-coordinate of the point, then the point lies on it if not then the point does not lie on it

∵ The coordinates of the point are (-3 , $\frac{4}{375}$ )

∴ x = -3 and y = $\frac{4}{375}$

- Substitute x by -3 in g(x)

∵ $g(x)=\frac{1}{6}(\frac{2}{5})^{-x}$

∴ $g(x)=\frac{1}{6}(\frac{2}{5})^{-(-3)}$

∴ $g(x)=\frac{1}{6}(\frac{2}{5})^{3}$

∵ $(\frac{2}{5})^{3}=\frac{2^{3}}{5^{3}}=\frac{8}{125}$

∴ $g(x)=\frac{1}{6}(\frac{8}{125})$

∴ $g(x)=\frac{8}{750}$

- Divide up and down by 2

∴ $g(x)=\frac{4}{375}$

∵ The value of g(x) equal to the y-coordinate of the point

∴ The point (-3 , $\frac{4}{375}$ ) lies on g(x)

The ordered pair (-3 , $\frac{4}{375}$ ) is on g(x)

Learn more:

You can learn more about the reflection in brainly.com/question/5017530

#LearnwithBrainly

9 0

2 years ago

Read 2 more answers

An ice cream cone has a height of 4 in and a radius of 1 in. If the cone is 0.1 in thick, what is the difference (in in3) betwee

SSSSS [86.1K]

Answer:

$0.79 in^3$

Step-by-step explanation:

Given data for the cone

height h= 4 in

radius r= 1 in

hence diameter d= 2 in

thickness of cone= 0.1 in

The volume of the cone including the shell can be expressed as

$volume=\frac{1}{3} \pi r^2h$

$volume= \frac{1}{3}*3.142*1^2*4\\\volume= \frac{12.568}{3} \\\volume= 4.189 in^3$

The volume of the ice cream can be expressed as

N/B: the diameter of the ice cream is

2-(0.1*2)= 2-0.2= 1.8 in

hence the radius is 0.9 in

$volume= \frac{1}{3}*3.142*0.9^2*4\\\ volume= \frac{10.18}{3} \\\ volume= 3.39 in^3$

The difference in volume is $4.189-3.39= 0.79 in^3$

8 0

2 years ago

Express your answer as a monomial... (6a^2b)(-7a^4b^7)

Arte-miy333 [17]

I hope this helps you

6. (-7).a^2+4.b^1+7

-42.a^6.b^8

3 0

2 years ago

Which products result in a perfect square trinomial? Check all that apply.

sladkih [1.3K]

The correct answers are:

B=(xy + x)(xy + x) ; C=(2x – 3)(–3 + 2x) ; and E=(4y² + 25)(25 + 4y²)

Explanation:

In order to have a perfect square trinomial, we must multiply two binomials that are exactly the same. For (xy+x)(xy+x), are multiplying two identical binomials.

For (2x-3)(-3+2x), we are multiplying two binomials that are the same but written in a different order. The same is true of (4y² + 25)(25 + 4y²).

3 0

3 years ago

Read 2 more answers

If 4x - 8 = 4 , find the value of x

Wittaler [7]

Answer:

x=3

Step-by-step explanation:

4x-8=4

4x=12

4x/4=12/4

x=3

3 0

3 years ago

Read 2 more answers