From the graph, the given points are (2,-1) and (4,0). Use the distance between two points formula:
Substitute these points in the formula.
Hence, the distance is √5
Answer
Answer:
<em>About 900 cans not stamped in 3 hours</em>
Step-by-step explanation:
<u>Proportions</u>
Sally found that 150 cans were not stamped in the 1/2 hour trial run.
Following the same proportion in time, we can say:
150 cans not stamped in 1/2 hour. Multiplying by 2:
300 cans not stamped in 1 hour. Multiplying by 3:
900 cans not stamped in 3 hours
About 900 cans not stamped in 3 hours
Answer:
The area of ∆DEF = 4.5in²
Step-by-step explanation:
From the above diagram,
∆BAC ~∆DEF
It is important to note that if two triangles are similar, the ratio of their areas is equal or equivalent to the ratio of the areas of their sides
This means for the above question, that
We have the bigger triangle = ∆BAC has a side of 4 in and Area = 8 in²
The small triangle has a side of 3in
Finding the scale factor k = ratio of the sides of both Triangles
k = 4/3
k² = (4/3)²
k² = 16/9
Hence,
Area of ∆BAC/ Area of ∆DEF = 16/9
8in²/Area of ∆DEF = 16/9
We cross Multiply
8 in² × 9 = Area of ∆DEF × 16
Divide both sides by 16
Area of ∆DEF = 72/16
= 4.5in²
Therefore, the Area of ∆DEF rounded to the nearest tenth = 4.5in²
Answer:
40
Step-by-step explanation:
We have an original price p
We mark them up by 50%
p + p*50%
Changing to decimal form
p+.50p = 1.5p
The new price is 60 dollars
1.5p = 60
Divide each side by 1.5
1.5p/1.5 = 60/1.5
p =40
The original price is 40
We are given statement : 3 more than a number then divided the result by 8.
We need to write an algebraic expression for it.
Let us assume unknown number be n.
3 more than n = (n+3).
Now, we need to divide that result (n+3) by 8.
So, we would get (n+3) divided by 8 = 
.
<h3>Therefore, final expression is
</h3>
