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lina2011 [118]
3 years ago
9

Can you please solve the following equation?

Mathematics
1 answer:
AlladinOne [14]3 years ago
7 0

Answer:

x=3.903

Step-by-step explanation:

2^{x-3}.5^{x-1}=200\\2^x.2^{-3}.5^x.5^{-1}=200\\\frac{2^x}{2^3}.\frac{5^x}{5^1}=200\\\frac{2^x.5^x}{2^3.5}=200\\\frac{(2.5)^x}{8.5}=200\\10^x=200 \times 40\\10^x=8000\\log 10^x=log8000\\x=\frac {log8000}{log10}=log8000=log 8\times log1000=log 8+log 1000=log2^3+log10^3=3log2+3log10=3log2+3 \approx0.903+3 \approx3.903

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3d trigenomatry , need help , with step by step working please
Law Incorporation [45]

The angle you want - call it <em>θ</em> - is such that

tan(<em>θ</em>) = FC / AC

Find the length of the diagonal AC, i.e. a diagonal of the rectangle ABCD. ABC forms a right triangle with legs AB = 70 and BC = 50, so

AC² = AB² + BC²

→   AC = √(70² + 50²) = 10 √74

Find FC using the given angle of the sloping face:

tan(30º) = FC / BC

→   1/√3 = FC / 50

→   FC = 50/√3

Now solve for <em>θ</em> :

tan(<em>θ</em>) = (50/√3) / (10 √74)

→   tan(<em>θ</em>) = 5/√222

→   <em>θ</em> ≈ 18.6º

4 0
3 years ago
I need help it's due tomorrow
Hunter-Best [27]
The sales taxes are $3 : $37,5 x 8/100
The total is 47,79 $ because you do 37,5x8/100+37,5 and this is 40,5$ and after you do 40,5$x18/100+40,5$ and taht makes 47,79$
5 0
4 years ago
-5a + 15/2a - 25 = 53.2 + 21.8​
dedylja [7]

Answer:

a= 40

Step-by-step explanation:

-5a + 7.5a - 25 = 53.2 + 21.8​

add like terms on both sides: 2.5a - 25 = 75

add 25 on both sides: 2.5a = 100

divide both sides by 2.5: a = 40

5 0
3 years ago
Read 2 more answers
Another question please if your not busy
PSYCHO15rus [73]
The answer to this question is B
4 0
4 years ago
CHECK MY ANSWERS ASAP
AlexFokin [52]

Question 1:

For this case we must rewrite the following equation:

-3x + y = 5

If we add 3x to both sides of the equation we have:

y = 5 + 3x

Thus, we have that an equivalent expression is option C.

Answer:

Option C

y = 5 + 3x

Question 2:

For this case we must solve the following equation:

-5x + 5 = -40

Subtracting 5 from both sides of the equation we have:

-5x = -40-5\\-5x = -45

Dividing between -5 on both sides of the equation we have:

x = \frac {-45} {- 5}\\x = 9

Answer:

Option B

7 0
3 years ago
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