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2 years ago

Which expressions are equivalent to 5^2/ 5^8? Two answers

Mathematics

1 answer:

love history [14]2 years ago

3 0

B & C

A. 2(x + 3) + 2x and 4x + 3

B. -2 + 4 (x + 3 ) and 4x + 10

C. 3x + 5 ( x - 1) and 8x - 5

D. 5x - 2 (x + 4) and 3x + 8

E. 4 - 5 (x + 2) and 5x - 6

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20 days to 2 weeks ratio

Andreas93 [3]

Answer:

20:14 = 10:7

Step-by-step explanation:

A week is equal to 7 days

2 weeks is equal to 2*7 = 14 days

8 0

2 years ago

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Which ordered pair describes a point that is located 1 unit to the left of the origin and 3 units above the x-axis?

goldfiish [28.3K]

Answer:

Cartesian plane

Step-by-step explanation:

(–1 , 3)

4 0

3 years ago

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Hi, teacher I was absent these days and I didn’t understand anything about this lesson and I need help this is not count as a te

motikmotik

Given:

There are given that the cos function:

$cos210^{\circ}=-\frac{\sqrt{3}}{2}$

Explanation:

To find the value, first, we need to use the half-angle formula:

So,

From the half-angle formula:

$cos(\frac{\theta}{2})=\pm\sqrt{\frac{1+cos\theta}{2}}$

Then,

Since 105 degrees is the 2nd quadrant so cosine is negative

Then,

By the formula:

$\begin{gathered} cos(105^{\circ})=cos(\frac{210^{\circ}}{2}) \\ =-\sqrt{\frac{1+cos(210)}{2}} \end{gathered}$

Then,

Put the value of cos210 degrees into the above function:

So,

$\begin{gathered} cos(105^{\circ})=-\sqrt{\frac{1+cos(210)}{2}} \\ cos(105^{\operatorname{\circ}})=-\sqrt{\frac{1-\frac{\sqrt{3}}{2}}{2}} \\ cos(105^{\circ})=-\sqrt{\frac{2-\sqrt{3}}{4}} \\ cos(105^{\circ})=-\frac{\sqrt{2-\sqrt{3}}}{2} \end{gathered}$

Final answer:

Hence, the value of the cos(105) is shown below: