Answer:
11,448 in²
Step-by-step explanation:
The area can be computed from ...
... A = 2(LW +H(L+W))
For the given prism, the area will be ...
... A = 2(18·12 +14(18+12)) = 2(216 +420) = 1272 . . . . in²
The area of a similar figure with dimensions 3 times as long will be 3² times as much. The area of the new figure is ...
... A = 3²×(1272 in²) = 11,448 in²
Answer:
(A) 5.47 km
(B) 1.38 km
Step-by-step explanation:
The relationship between Pressure (mmHg) and Height (km) is given by the equation below:
p =760 e⁻ 0.145h----------------------------------------------------- (1)
(a) The height of the aircraft can be calculated by making 'h' the subject of equation (1)
In (p/760) = -0.145 h
h = -In (p/760) /0.145
h= In (760/p)/ 0.145------------------------------------------------- (2)
For the aircraft, p =344 mmHg; substituting into (2)
h = In (760/344)/0.145
= 0.7926/0.145
= 5.4662 km
≈ 5.47 km
(b) p= 622 mmHg at the mountain top. Substituting into equation (2) we have:
h = In (760/622)/0.145
= 0.2003 / 0.145
= 1.3813 km
≈ 1.38 km
Answer:
a rotation followed by a dilation
Step-by-step explanation:
they first rotated the figure by 90 degrees, they then dilated by a scale factor of 3
I assume you mean ' 85 ' and not ' 8585 '.
-- 85 is an odd number.
-- If the sum of 2 numbers is odd, then
one of them is odd and the other is even.
-- The only even prime number is 2 .
-- So 85 is the sum of 2 and 83 .
-- Their product is 166 .
<h3>
Answer: 24 cakes</h3>
===============================================
Work Shown:
1 gallon = 16 cups
3 gallons = 48 cups ... multiply both sides by 3
(2 cups of milk)/(1 cake) = (48 cups of milk)/(x cakes)
2/1 = 48/x
2x = 1*48
2x = 48
x = 48/2
x = 24
He can make 24 cakes.