9514 1404 393
Answer:
Step-by-step explanation:
The surface area of the triangular prism is the sum of its base areas and the lateral area. The total area of the two triangular bases is ...
A = bh = 7(6.1) = 42.7 . . . square units
The lateral area is the product of the perimeter of the base and the length of the prism. The height given for the prism is consistent with it having triangular bases that are equilateral triangles. That is, the unmarked dimension is likely 7 units, so the perimeter is ...
P = 7+7+7 = 21
and the lateral surface area is ...
LA = PL = 21·2 = 42
Then the total surface area of the prism is ...
total area = A + LA = 42.7 +42 = 84.7 . . . square units
__
The volume of a rectangular prism is given by ...
V = Bh
where B is the area of the base, and h is the height. Your prism has a volume of ...
V = (26.25 in²)(4.5 in) = 118.125 in³
Answer:
The length of the altitude is 16 centimeters and the base is 7 centimeters
Step-by-step explanation:
we know that
The area of triangle is equal to
----> equation A
where
b is the base and h is the height
----> equation B
substitute equation B in equation a
we have that
so
solve the quadratic equation by graphing
the solution is b=7 cm
see the attached figure
Find the value of h
therefore
The length of the altitude is 16 centimeters and the base is 7 centimeters
Answer:
y = m x + b equation of a straight line
m = (y2 - y1) / (x2 - x1) slope of line
m = (17 - 10) / (-36 - 48) = 7 / -84 = -1 / 12
y = -x / 12 + b equation of line
Or b = y + x / 12
If y = 10 and x = 48 then b = 10 + 48 / 4 = 14
if y = 17 and x = -36 then b = 17 - 36 / 12 = 14
So b = 14 and y = -x / 12 + 14
Answer:
B
Step-by-step explanation:
the first fish tank has 100 gallons of water and 1 gallon is removed every hour which makes 100-h
the second tank has 40 gallons in it and 2 gallons are added every hour which makes 40+2h
after 20 hours the second tank will have more gallons than the first tank
this means that 40+2h would be greater than 100-h since it's also asking you "After how many hours will the first tank have less water than the second?"
