see the attached figure to better understand the problem
we know that
The equilateral triangle has three equal sides
so
in the equilateral triangle ABC
the height of the triangle is the segment BD
in the right triangle BCD
Applying the Pythagorean Theorem
solve for BD
substitute the values
therefore
<u>the answer is</u>
the height of the triangle is 
Answer:
It is the <em><u>second one</u></em>
Step-by-step explanation:
1st option does not include the number 2 from the equation above,
and 3 and 4, you do not have to divide anywhere in the equation, so those are no possibly correct.
Answer:
- Minimum 100 bicycles
- Minimum cost is 13500
Step-by-step explanation:
<u>Given function:</u>
- C(x) = 3x^2- 600x + 43500
a.
Minimum cost is obtained at vertex.
Vertex is determined by formula x = -b/2a, in standard form of
f(x) = ax^2 + bx + c
<u>Vertex of the given function is:</u>
b.
<u>Cost at vertex is:</u>
- C(100) = 3*100^2 - 600*100 + 43500 = 13500
Answer:
0.4545 kgs.
Step-by-step explanation:
Given that 1 kg weighs approximately 22 pounds.
i.e. 1kg= 22 lbs.
We can use this to convert lbs into kg.
22 lbs = 1 kg
Hence 1 lb = 1/22 = 0.04545 kg
Now to find out the equivalent weight for 10lbs,
we have conversion factor as 1 lb= 0.04545 kg
Hence 10 lbs = 10(0.04545) = 0.4545 kgs
Hence 10 pounds written in equivalent kgs would be0.4545 kgs.
Let
x--------------> the number of slices eating by Consuela and her <span>three friends
we know that
[total slices]=8*2=16 slices
</span><span>[slices of pizza for her older brother]=2
x=16-2=14 slides
</span><span>Consuela and her friends share the rest of the pizza, each eating the same number of slices---------> 14/4= 3.5 slides of pizza each (</span><span>this part is not necessary, but it is shown in a didactic way)
</span><span>
the question is
</span><span>What fraction of the 2 pizzas is left over?
</span>[slices of pizza for her older brother]/[total slices]=2/16=1/8
<span>
the answer is (1/8)
</span>
