Answer:
a)8
b)13
Step-by-step explanation:
a) ar = c
a^2+b^2=c^2
4^2+7^2=c^2
16+49 = c2
c = 
~8
b) sa= c
a2+b2=c2
7^2 + (15-4)^2
49+121 = c2
c= 
= 13
I hope im right!!
Answer:
groceries
Step-by-step explanation:
based on the market price the grocery price will change
Answer:
B. 12 days
Step-by-step explanation:
This can be set up as an equation:
64x = 768, where x represents the days it will take to achieve 768 doughnuts.
Divide both sides by 64.
x = 12.
It will take 12 days to make an additional 768 doughnuts.
Lateral Area of a Cylinder=2πrh
= 2 x π x 7 x 24
=336π
Option D
Answer:
Step-by-step explanation:
This is a related rates problem from calculus using implicit differentiation. The main equation is going to be Pythagorean's Theorem and then the derivative of that. Pythagorean's Theorem is
where c is the hypotenuse and is a constant. Therefore, the derivative of this with respect to time, and using implicit differentiation is
and dividing everything by 2 to simplify a bit:
. Upon analyzing that equation, it looks like we need values for x, y, 
, and 
. And here's what we were given:
and 
In the greater realm of things, that's nothing at all.
BUT we can use the right triangle and the angle we were given to find both x and y. The problem we are looking to solve is to
Find at the instant that = .5.
Solving for x and y:
and
6tan45 = x ( and since this is a 45-45-90 triangle, y = x):
so
and now we can fill in our derivative. Remember the derivative was found to be
so
and
and
and multiplying by the reciprocal of the left gives us:
so
