NiCole Spent 15% of her day doing homework. How many hours did she spend on her homework?
1 answer:
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Answer:
890 beads can be fitted in the triangular prism.
Step-by-step explanation:
If we can fill the spherical beads completely in the triangular prism,
Volume of the triangular prism = Volume of the spherical beads
Volume of triangular prism = Area of the triangular base × Height
From the picture attached,
Area of the triangular base =
=
By applying Pythagoras theorem in the given triangle,
AC² = AB² + BC²
(13)² = 5² + BC²
169 = 25 + BC²
BC² = 144
BC = 12
Area of the triangular base =
= 30 cm²
Height of the triangular prism = 18 cm
Volume of the triangular prism = 30 × 18
= 540 cm³
Volume of one spherical bead =
=
= 0.606 cm³
Let there are 'n' beads in the triangular prism,
Volume of 'n' beads = Volume of the prism
540 = 0.606n
n = 890.90
n ≈ 890
Therefore, 890 beads can be fitted in the triangular prism.
Answer:
Step-by-step explanation:
----------- (1)
-----------(2)
Adding equation (1) and (2)
Substitute y=-4 in equation (1) or (2)
<em>What is the value of c in the quadratic </em>?
Before starting to solve, you should notice something - the
quadratic is not in its standard form!
We can easily fix it by adding on both sides:-
We can switch the order of 28 and -11x:-
Now, the quadratic is in its standard form, so we can get down to
finding the value of "c".
Remember, the standard form of a quadratic looks like so:-
Now we can just write our <u>quadratic</u> here:-
Now, can you see what the value of "c" is?
An easy way to <u>remember</u> "c" in quadratics is:-
The "c" in quadratics is the constant.
Henceforth, we conclude that the value of "c" in the given quadratic is:-