∆ABC=∆DEF
AB=DE –>String
BC=EF–> Rib
m<C=m<F=90° –>List
AC=DF
So m<A=m<D=35 (It is not clear whether the number is 35 or 36, but the same number)
Answer:
After the discount, the customer will pay only 91.4% of the initial price.
Step-by-step explanation:
We have that the price of the current retailer, in dollars, is:
3.50
After the discount, the new price, in dollars, is:
3.20
We want to know what percentage of the original price is the final price.
To find out, we must divide the final price between the initial price and then multiply the result by 100%
So:
*100% = 0.914. * 100% = 91.4%
After the discount, the customer will pay only 91.4% of the initial price.
The discount percentage you are going to pay is 100% -91.4% = 8.6% of the initial price
Answer:
Step-by-step explanation:
The probability of drawing a red card is 1/2, since half of the cards in a deck are red. The probability of drawing an ace from a deck is 1/13, since there is an equal chance to pick any of the 13 numbers.
P(red card and ace)= P(red card)*P(ace)=1/2 * 1/13=1/26
Since this problem talks about rates of change, then the concept of calculus is very useful. But first, let's find at least two equations in order to solve this system. The first one is the area of a triangle written as
A = 1/2 ab sin θ, where a and b are the sides that from the angle θ. So, we substitute a=6 and b=10. That makes it:
A = 1/2 (6)(10)sin θ = 30 sin θ
Now, you differentiate implicitly (both sides simultaneously) with respect to time.
dA/dt = 30 cosθ (dθ/dt)
We replace dθ/dt = 0.06 rad/s, as mentioned in the problem. Then, the rate of change of the area of the triangle when θ = π/3 rad with respect to time is
dA/dt = 30cos(π/3) (0.06)
dA/dt = 1.8 m²/s
Therefore, the rate of change of the area of the triangle is 1.8 m² per second.
Answer:
the minimum is 410, the max is 450
Step-by-step explanation:
to find the minimum you would do 430-20 and the max would be 430+20
