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2 years ago

SO anyways :))))

Mathematics

1 answer:

artcher [175]2 years ago

7 0

Answer:

1 / 8², B

Step-by-step explanation:

8 / 8³

8³ = 8*8*8

So, the equation can also be written as:

8 / 8*8*8

divide the numerator and denominator by 8.

1 / 8*8

This is equal to:

1 / 8²

The answer is B.

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drawbridge at the entrance to an ancient castle is raised and lowered by a pair of chains. The figure represents the drawbridge

jasenka [17]

Answer:

4.0 meters, ∠C = 39°, ∠A = 51°

Step-by-step explanation:

Firstly, our diagram shows us that the given triangle is actually a right triangle. So we can use the <em>Pythagorean Theorem</em> to solve for the height of the chain:

$a^{2} +b^{2} =c^{2}$

$(3.3)^{2} +b^{2} =(5.2)^{2}$

$b^{2} =(5.2)^{2}-(3.3)^{2}$

$b =\sqrt{(5.2)^{2}-(3.3)^{2}}$

$b=4.0187...$

$b=4.0 m$

Now, we can use the <em>Law of Cosines</em> to figure out one of the acute angles:

$c^{2} =a^{2} +b^{2} -2ab(cos(C))$

$(3.3)^{2} =(4.0)^{2} +(5.2)^{2} -2(4.0)(5.2)(cos(C))$

$cos(C)=\frac{(3.3)^{2}-(4.0)^{2} -(5.2)^{2}}{-2(4.0)(5.2)}$

$C=cos^{-1}( \frac{(3.3)^{2}-(4.0)^{2} -(5.2)^{2}}{-2(4.0)(5.2)})$

$C=39.3915...$

∠C = 39°

And since we know that all angles in a triangle add up to 180°:

∠A + ∠B + ∠C = 180

∠A + 90 + 39 = 180

∠A = 180 - 90 - 39

∠A = 51°

However, you should always review any answers on the Internet and make sure they are correct! Check my work to see if I made any mistakes!

7 0

3 years ago

41. If n(G) = 20, n(H) = 30, n(G ⋂ H) = 5, find n(G ⋃ H) 42. If n(G) = 5, n(H) = 8, n(G ⋂ H) = 4, find n(G ⋃ H)

Sever21 [200]

Answer:

hope it will help

plz mark brainliest✌️✌️

8 0

3 years ago

Find the equation of the graphed line and select the best answer from the choices provided.

klemol [59]

Answer:

Step-by-step explanation:

The y-intercept must be at -7, so that eliminates C.

Because of the direction of the line, the slope needs to be negative. This eliminates B.

The slope of the line is -7/6, so D is the correct answer.

6 0

3 years ago

Fill in the answer.

OLEGan [10]

Answer:

-9

-2

-10

Step-by-step explanation:

Just follow the equation left to right

4 0

3 years ago

Factor Completely -5x^3 + 10x^2

Anit [1.1K]

Answer:

Step-by-step explanation:

Given

- 5x³ + 10x² ← factor out - 5x² from each term

= - 5x²(x - 2) → D

6 0

3 years ago

Read 2 more answers