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IgorC [24]
3 years ago
6

NEED HELP ASAP!!!

Mathematics
2 answers:
NISA [10]3 years ago
7 0

Answer:

Approximately 85 m

Step-by-step explanation:

Let x represent the distance between the origination point and the target

Distance between original point and mirror 1 = 120 m

Distance between mirror 1 and mirror 2 = 90 m

The measure of angle Opposite the distance between the origination point and the target = 20 + 25 = 45°

Use Cosine rule to find x as shown below:

Use The Law of Cosines to find side a first:

a^2 = b^2 + c^2 - 2bc \times Cos(A)

Where,

a = x

b = 90 m

c = 120 m

A = 45°

Plug in the values

x^2 = 90^2 + 120^2 - 2(90)(120) \times Cos(45)

x^2 = 22,500 - 21,600  \times Cos(45)

x^2 = 22,500 - 15,273.5065

x^2 = 7,226.4935

Square both sides

x = \sqrt{7,226.4935}

x = \sqrt{7,226.4935}

x ≈ 85 m

sveta [45]3 years ago
3 0

Answer: AAAAAAA-85!!!!!

Step-by-step explanation:

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The radius of a circle is 6. Using π, which equation expresses the ratio of the circumference of the circle to the circle's diam
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Read 2 more answers
After heating up in a teapot, a cup of hot water is poured at a temperature of 204°F.
laila [671]

Answer:

  • Question 1: 0.081 min⁻¹
  • Question 2: 168ºF

Explanation:

The missing equation is:

             T=T_a+(T_0-T_a)e^{-kt}

You are given:

  • Ta = the temperature surrounding the object = 73ºF
  • T₀ = the initial temperature of the object = 204ºF
  • t = 2.5 min
  • T after 2.5 min = 180ºF

Question 1: Find the the value of k.

Substitute the data into the equation and solve for k:

          180\º=73\º+(204\º-73\º)e^{-k\cdot 2.5min}\\ \\ 107\º=131\ºe^{-k\cdot 2.5min}\\\\-k\cdot 2.5min=\ln (107/131)\\\\k=0.081min^{-1}

Question 2: Find the Fahrenheit temperature of the cup of water, to the nearest degree, after 4 minutes.

Subsititute into the formula and compute:

            T=73\ºF+(204\ºF-73\ºF)e^{-0.081min^{-1}\times 4min}\\ \\ T=73\ºF+(131\ºF)(0.72325024)\\\\T=168\ºF

4 0
4 years ago
Pls help me asap!!!!
RUDIKE [14]

Answer:b

Step-by-step explanation:y=2x-3

5 0
3 years ago
What is the quadratic equation to this question
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Answer:

f(x) = 4x − 12

Step-by-step explanation:

It's not quadratic.  It's linear.  Each time x increases by 1, f(x) increases by 4.  So the slope is 4.  The y-intercept (when x=0) is -12.  The equation of the line is therefore:

f(x) = 4x − 12

5 0
3 years ago
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