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tankabanditka [31]
3 years ago
5

Solve for x: ( sqrt 7) ^ 6x = 49 ^ (x-6)

Mathematics
1 answer:
LiRa [457]3 years ago
8 0
(\sqrt{7})^{6x}=49^{x-6} \\
(7^\frac{1}{2})^{6x}=(7^2)^{x-6} \\
7^{\frac{1}{2} \times 6x}=7^{2(x-6)} \\
7^{3x}=7^{2x-12} \\
3x=2x-12 \\
3x-2x=-12 \\
x=-12
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A ramp is 35 ft long rises to a platform. The bottom is 15 ft from the foot of the ramp. Find x, the angle of elevation of the r
sineoko [7]

Answer:

The angle of elevation of the ramp is 64.60°

Step-by-step explanation:

Given;

length of the ramp, L = 35 ft

distance of the platform to the foot of the ramp, d = 15 ft

The length of the ramp forms the hypotenuse side of this right angled triangle;

The angle of elevation of the ramp is in angle between the hypotenuse and adjacent side of the triangle.

Cos x =  adjacent / hypotenuse

Cos x = 15 / 35

Cos x = 0.4286

x = Cos⁻¹ (0.4286)

x = 64.62

x = 64.60°

Therefore, the angle of elevation of the ramp is 64.60°

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3 years ago
What is between 0.1 and 0.2
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3 years ago
Need the answer ASAP
romanna [79]
As from the question,

x = 60°
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Using the Arc Length formula,

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Ans: B
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3 years ago
Erica has a sphere shaped bouncy ball with
Andrej [43]

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