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Reptile [31]
3 years ago
13

Find the value of x ASAP

Mathematics
1 answer:
e-lub [12.9K]3 years ago
6 0

The correct answer is 9.

Because they share a common angle at the top, we know that we can create a proportion using similar sides.

\frac{Outside LEFT}{Bottom LEFT} = \frac{Outside RIGHT}{Bottom RIGHT}

\frac{12}{8} = \frac{x}{6}

Now we can cross multiply to solve.

12*6 = 8*x

72 = 8x

9 = x

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Tenths is after the decimal so the tenths is 5.
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5x-2y ≤ 20 can you guys solve this.
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Your answer is y ≥ −10 + 5x/2
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Luiza is jumping on a trampoline.
lyudmila [28]

Answer:

The second time when Luiza reaches a height of 1.2 m = 2 08 s

Step-by-step explanation:

Complete Question

Luiza is jumping on a trampoline. Ht models her distance above the ground (in m) t seconds after she starts jumping. Here, the angle is entered in radians.

H(t) = -0.6 cos (2pi/2.5)t + 1.5.

What is the second time when Luiza reaches a height of 1.2 m? Round your final answer to the nearest hundredth of a second.

Solution

Luiza is jumping on trampolines and her height above the levelled ground at any time, t, is given as

H(t) = -0.6cos⁡(2π/2.5)t + 1.5

What is t when H = 1.2 m

1.2 = -0.6cos⁡(2π/2.5)t + 1.5

0.6cos⁡(2π/2.5)t = 1.2 - 1.5 = -0.3

Cos (2π/2.5)t = (0.3/0.6) = 0.5

Note that in radians,

Cos (π/3) = 0.5

This is the first time, the second time that cos θ = 0.5 is in the fourth quadrant,

Cos (5π/3) = 0.5

So,

Cos (2π/2.5)t = Cos (5π/3)

(2π/2.5)t = (5π/3)

(2/2.5) × t = (5/3)

t = (5/3) × (2.5/2) = 2.0833333 = 2.08 s to the neareast hundredth of a second.

Hope this Helps!!!

4 0
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Answer:

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Step-by-step explanation:

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