Answer:
3 gallons
Step-by-step explanation:
Let
x ----> the amount of pure acid (100% solution) in gallons
Remember that
we know that
solve for x
therefore
3 gallons of pure acid should be mixed with 3 gallons of a 20% acid solution in order to get a 60% acid solution
Answer:
91.8 ft
Step-by-step explanation:
So we can talk about the diagram, let's name a couple of points. The base of the tree is point T, and the top of the tree is point H. We want to find the length of TH given the length AB and the angles HAT and ABT.
The tangent function is useful here. By its definition, we know that ...
TA/BA = tan(∠ABT)
and
TH/TA = tan(∠HAT)
Then we can solve for TH by substituting for TA. From the first equation, ...
TA = BA·tan(∠ABT)
From the second equation, ...
TH = TA·tan(∠HAT) = (BA·tan(∠ABT))·tan(∠HAT)
Filling in the values, we get ...
TH = (24.8 ft)tan(87.3°)tan(9.9°) ≈ 91.8 ft
The height <em>h</em> of the tree is about 91.8 ft.
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The inequality is 1.85x - 42.55 > 100. 42.55 is the amount already raised, 1.85x is number of laps times the money raised by them.
Answer:
x = 5
Step-by-step explanation:
We need to find the value of x in this case.
For this, we need to consider that the triangles are similar. Now, we can find it as follows :
So, the value of x is equal to 5.
Answer:
one slice of pizza costs 3 dollars.
Step-by-step explanation:
you multiply 0.75 by 3.
subtract 2.25 by 9
divide 9 by 3
