Answer:
76017.69 mm²
631000 mm³
295045.04 mm³
Step-by-step explanation:
Surface area = bh + 2ls + lb
Since the sides of the triangular prism are equal (equilateral triangle) = 60 mm each
Height = 405 mm
The surface area of triangular = 76017.69 mm
The volume of triangular prism :
1/2 * base * height * length
Volume = 631000 mm³
If amount of chocolate inside = 335954.96 mm3
Empty space =
Volume of triangular prism - amount of chocolate inside
631000 - 335954.96
= 295045.04 mm³
Q1
the clothes are on 45% discount, wich mean they become 55% of their original price.
30× 55% =16.5
64×55%=35.2
the new salary is 103% of the original
10×103% = 10.3
11600×103% = 11,948
Q2:
1+0.24= 1.24
1- 0.27= 0.73
86×140%= 120.4
440×119%= 523.6
82×90% = 73.8
480× 73%= 350.4
Answer:
3
Step-by-step explanation:
because that's the communicative property
Answer:
- a) x = 4
- b) y = 1.25x + 15
- c) (-12, 0)
Step-by-step explanation:
a) PQ is parallel to the y-axis and contains point (4, 5).
<u>It means its equation is:</u>
b) RQ is parallel to OP.
Parallel lines have equal slopes.
<u>Find the slope of OP:</u>
RQ has slope of 1.25 and passes through (- 8, 5).
<u>Find its equation using point-slope form:</u>
- y - 5 = 1.25(x - (-8))
- y - 5 = 1.25x + 10
- y = 1.25x + 15
c) <u>The x-intercept is determined at y = 0:</u>
- 0 = 1.25x + 15
- 1.25x = - 15
- x = - 15/1.15
- x = - 12
