Suppose the sides of the big triangle are called m, x and 12+4=16. We have that the big triangle and the small triangle to the right of the shape (sides x,y,12) are similar. We can take then the ratios of correponding sides and know that they will be equal. Thus, we have that 4/y=y/12. Hence, y*y=48. Thus y=
.
So, as before
curved surface area=154=2h(pi)r
total surface area=3 times curved
total=3 times 154
total =462
total=curved+2(area of base)
462=154+2(area of base)
subtract 154
308=2(area of base)
divide 2
154=area of base
area of base=pir^2
solve for radius
154=pir^2
aprox pi to 3.14
154=3.14r^2
divide both sides by 3.14
49=r^2
square root both sides
7=r
RADIUS=7
find hiehgt
we know that 154=2h(pi)r
subsittue 3.14 for pi and 7 for r
154=h2(3.14)(7)
154=h43.96
divide both sides by 43.96
3.5=h
volume=height times pi times r^2
volume=3.5 times pi times 7^2
volume=3.5 times pi times 49
volume=171.5 times pi
volume=171.5pi
aprox pi to 3.14
volume=3.14(171.5)
volume=538.51
radius=7 cm
height=3.7 cm
volume=171.5pi cm^3 or 538.51 cm^3
Answer: creds to
Walker22RB
Answer:
If Andre plans on staying within his budget, he should choose Apartment 1.
Step-by-step explanation:
Apartment 1: $1100 rent + $250 utilities = $1350 Total Monthly
Apartment 2: $1350 rent + $100 utilities = $1450 Total Monthly
Andre can spend up to $1320 on rent & $320 on utilities, totaling at $1640. In this situation, Andre needs to save as much money as possible. Either on one of these apartments stay below the budget for monthly cost, but Apartment 2's rent goes $30 higher than his budget allows. In the end, this makes apartment 1 the best option for rent, utilities, and ultimate cost.
If Andre plans on staying within his budget, he should choose Apartment 1.
How much more money does Andre budget for saving than for groceries and utilities
$312.00 savings
Answer:
The derivative of the function is 42.
Step-by-step explanation:
The derivative of an addition/subtraction of terms is the addition/subtraction of the derivatives of these terms.
The derivative of a constant is 0. The derivative of 3 is 0, for example.
The derivative of is . The derivative of 42x is 42, for example.
So, in this question, we have that:
h(x) = 42x-3
h'(x) = 42
So the derivative of the function is 42.