a rectangular swimming pool is 15 meters long, 12 1/2 meters wide and 2 1/2 meters deep. what is the pools volume?
2 answers:
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Answer:
<h2>x = 117°</h2>Step-by-step explanation:
We know:
The sum of the quadrilateral angles measures 360°.
Therefore we have the equation:
The sum of angles x and D is equal to 360°. Therefore we have the other equation:
From (1) and (2) we have:
Answer:
No, she cannot completely cover the footrest.
Step-by-step explanation:
First of all, we need to find the total surface area of the prism to be covered using the cotton cloth
the total surface area of the prism is
A = 2wl + 2lh + 2hw,
l is the length of the prism = 18 in,
w= width of the prism = 12 in,
h is the height of the prism = 10 in
hence
We need to convert the area of the fabric to be in the same unit as that of the prism
Area of cotton fabric =
since the surface area of the foot rest is more than the area of fabric she has, she cannot completely cover the footrest
Answer:
given you are asked to simplify
Step-by-step explanation:
You have to multiply the numerator and denominator by the denominator's conjugate.
The conjugate of a+bi is a-bi.
When you multiply conjugates, you just have to multiply first and last.
(a+bi)(a-bi)
a^2-abi+abi-b^2i^2
a^2+0 -b^2(-1)
a^2+-b^2(-1)
a^2+b^2
See no need to use the whole foil method; the middle terms cancel.
So we are multiplying top and bottom of your fraction by (-3+4i):
So you will have to use the complete foil method for the numerator. Let's do that:
(-3+5i)(-3+4i)
First: (-3)(-3)=9
Outer:: (-3)(4i)=-12i
Inner: (5i)(-3)=-15i
Last: (5i)(4i)=20i^2=20(-1)=-20
--------------------------------------------Combine like terms:
9-20-12i-15i
Simplify:
-11-27i
Now the bottom (-3-4i)(-3+4i):
F(OI)L (we are skipping OI)
First:-3(-3)=9
Last: -4i(4i)=-16i^2=-16(-1)=16
---------------------------------------------Combine like terms:
9+16=25
So our answer is