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°
No, triangles PRU and STQ are not congruent. Even though their angles are the same, different triangles can be constructed out of triangles with the same angles. Looking at the picture, one can also see the difference in size between the two triangles.
Answer:
0.5 %
Step-by-step explanation:
Annual rate = 6 %/yr
Monthly rate = ¹/₁₂ × 6 = 0.5 %/mo
If you invested $100 at 6 % annual simple interest, you would have <em>$106 </em>at the end of the year.
Simple interest is calculated only on the principal.
If the interest were calculated at 0.5 % monthly simple interest, you would get $0.50 at the end of each month. At the end of 12 mo, you would have <em>$106.
</em>
C. It is a basic parabola
Answer:
Step-by-step explanation:
Let X be the number of units produced, and P be the cost of production.
#Given that 
Cost of production can be calculated as:
#Mean of the total cost is calculated as;
Hence, the mean cost of production is $2,000
#Variance of the total cost is calculated as;
Hence, the variancecost of production is $3,600
