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iogann1982 [59]
3 years ago
14

Solve 2^10 + 2^10 = 2^n.

Mathematics
2 answers:
Lina20 [59]3 years ago
8 0

Answer: n = 11

Step-by-step explanation:

2^10 = 1,024

1,025 + 1,025 = 2,048

2^11 = 2,048

Alekssandra [29.7K]3 years ago
4 0

Answer:

n=11

Step-by-step explanation:

2^10+2^10 = (2^10)(1+1) using distributive property

(2^10)x(2^1) = 2^11

2^11 = 2^n

n=11

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Find the value of x. write your answer in simplest radical form
BartSMP [9]

Answer:

<h2>x = 4 \sqrt{2}</h2>

Step-by-step explanation:

To find the value of x we can use either sine or cosine

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<h3>\cos(\theta)  =  \frac{adjacent}{hypotenuse}</h3>

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x is the hypotenuse

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in CAT the measure of the largest angle is 10 less than 5 time the smallest angle. The measure of the middle angle is 6 more tha
Vsevolod [243]

Answer:

The measure of middles angle is 113.5° .

Step-by-step explanation:

Given as :

The measure of the largest angle is 10 less than 5 time the smallest angle.

The measure of the middle angle is 6 more than twice the measure of the largest angle

Let The largest angle = L

Let The middle angle = M

Let The smallest angle = S

As per statement

Largest angle = 5 times smallest angle - 10

i.e L = 5 × S - 10                .....1

Again

Middle angle = twice largest angle + 6

i.e M = 2 × L + 6                ......2

Since for any Triangle sum of three angles = 180°

i.e ∠L + ∠M + ∠S = 180°

Or, ( 5 × S - 10 ) + ( 2 × L + 6 ) + S = 180°

Or,  ( 5 × S - 10 ) + [ 2 × (5 × S - 10 ) + 6 ] + S = 180°      

Or, 5 S - 10 + (10 S - 20 + 6) + S = 180°      

Or, 5 S - 10 + 10 S - 20 + 6 + S = 180°    

Or, (5 + 10 + 1) S - 24 =  180°    

Or, 16 S =  180° + 24

Or, 16 S = 204

∴  S = \dfrac{204}{16}

i.e S = 12.75

So, The measure of smallest angle = S = 12.75°

And

L = 5 × 12.75 - 10  

i.e L = 53.75

So, The measure of Largest angle = L = 53.75°

And

M = 2 × L + 6                

Or, M = 2 × 53.75 + 6

i.e M = 107.5 + 6 = 113.5

So, The measure of middles angle = M = 113.5°

Hence,  The measure of middles angle is 113.5° . Answer

3 0
3 years ago
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