First, we'll find the slope of the new line. The first line has a slope of . Take the negative reciprocal of this (Flip the numerator and denominator, then multiply by
) to get
for the new slope.
Then, we'll use the point-slope form to make the new equation, where is the slope and
is a point on the line:
Answer:
Final cost = $2388.75
Step-by-step explanation:
Cost of stereo system = $2500
Sale = 9%
Cost of sale = 9% of 2500
Cost of sale =
Cost of sale = $225
Price after sale = 2500 - 225 = $2275
Sales tax = 5% of 2275
Sales tax = 0.05 * 2275 = $ 113.75
Final cost = 2275 + 113.75 = $2388.75
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.
