Answer:
250.
Step-by-step explanation:
3 + 5 = 8. => (3/8) * 400 = 3 * 50 = 150. => (5/8) * 400 = 5 * 50 = 250.
A 9/24 & 16/24
b 72/108 & 36/108 or 12/27 & 9/27
c 10/50 & 30/50 or 5/25 &15/25
d 15/3 & 6/3
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:
V=35
Step-by-step explanation:
Start by multiplying by 7 on both sides:
V=35
Answer:
Volume: 30
SA: 62
LA: 42
Step-by-step explanation:
Volume: V=l*w*h= 3*2*5= 30
SA: 2(lw+lh+wh)= 62
LA= 2h(l+w)= 42
