Step-by-step explanation:
when scaling all dimensions must be multiplied by the same factor.
64 was first scaled ft to in, and then by 2.8/64.
now we need to do the same for the width :
80 × 2.8/64 = 3.5 in
The answer is (4, -6), or the fourth option.
Answer: Circumference of Earth= 25120 miles
Step-by-step explanation:
Given: The circumference of a circle can be found using the formula 
, where d= diameter of the circle.
Earth's diameter = 8000 miles (approx)
The circumference of circle = 
[substitute values in formula]
The circumference of circle = 25120 miles (approx)
Hence, the circumference of Earth= 25120 miles (approx)
By the law of sines, m∠<em>EFG</em> is such that
sin(m∠<em>EFG</em>) / (8 in.) = sin(m∠<em>G</em>) / (7.5 in)
so you need to find m∠<em>G</em>.
The interior angles to any triangle sum to 180°, so
m∠<em>DEG</em> = m∠<em>D</em> + m∠<em>G</em> + 43°
m∠<em>DEG</em> + m∠<em>D</em> + m∠<em>G </em>= 2 (m∠<em>D</em> + m∠<em>G</em>) + 43°
180° = 2 (m∠<em>D</em> + m∠<em>G</em>) + 43°
137° = 2 (m∠<em>D</em> + m∠<em>G</em>)
68.5° = m∠<em>D</em> + m∠<em>G</em>
But ∆<em>DEG</em> is isosceles, so m∠<em>D</em> = m∠<em>G</em>, which means
68.5° = 2 m∠<em>G</em>
34.25° = m∠<em>G</em>
<em />
Then
sin(m∠<em>EFG</em>) = (8 in.) sin(34.25°) / (7.5 in)
m∠<em>EFG</em> ≈ sin⁻¹(0.600325) ≈ 36.8932°
Answer:
use
Step-by-step explanation:
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