X=length
y=width
Area (rectangle)=length x width
we suggest this system of equations:
y=x/5
xy=9/20
solve this system of equations by substitution method:
x(x/5)=9/20
x²/5=9/20
Least common multiple=20
4x²=9
x²=9/4
x=⁺₋√(9/4)
we have two solutions:
x₁=-3/2 it does not validate
x₂=3/2 ⇒y=x/5=(3/2)/5=3/10
The dimensions of the lake are:
lengh=3/2 miles
width=3/10 miles
to check:
Area=3/2 miles x 3/10 miles=9/20 miles².
width is 1/5 the length of the lake ⇒ 3/10 miles=(3/2) /5 miles
Answer:
4.25 grams
Step-by-step explanation:
100 / 5 = 20
85 / 20 = 4.25
4.25 grams of pure drug are in 85 milliliters of a solution.
From the diagram you can see that plane cuts each lateral face of hexagonal pyramid and do not cut the base. A hexagonal pyramid has six lateral faces. The intersection of each of these lateral faces with given cutting plane is segment. The figure which consists of these segments is hexagon. This hexagon is not the same as base and even is not similar to the base because the cutting plane is not parallel to the base.
Answer: resulting cross section is a hexagon, correct choice is option 4.
Hi <span>Camrynb10705oxknsv!
So let's take a look at the answers they give. A is 2.5 - 2.2 and all that is is switching the numbers so that isn't right. B they do addition instead of subtraction so that can't be right. C they do 2.2 + (-2.5) and when you add a negative number it's like subtraction because a negative number is under 0 and so your adding a number under 0 so you go down. So the answer is C.
If you need me to explain it different let me know. Hope this helps!</span>
Answer:
Distance to appointment point = 5 miles
Step-by-step explanation:
Let s be the distance to the appointment point,
We have Maria drove to a business appointment at 50mph in the morning.
Time taken in the morning
Her average speed on the return trip in the afternoon was 40 mph.
Time taken in the afternoon
Given that the return trip took 1/4hr longer because of traffic.
That is
Substituting
Distance to appointment point = 5 miles
