Answer:
16.9 cm
Step-by-step explanation:
The volume of a prism = Area of base × height
For a rectangular prism, the base of the area = length × breadth
The volume of the liquid = 92 L
Since 1 L = 1000 cm³, 92 L = 92000 cm³
92000 = 85 × 64 × h
5440 h = 92000
h = 92000 ÷ 5440 = 16.9 cm
We have that
<span>triangle ABC
where
A(-5, 5), B(1, 1), and C(3, 4) are the vertices
using a graph tool
see the attached figure
the hypotenuse is the segment AC
find the equation of the line AC
</span>A(-5, 5) C(3, 4)
<span>
step 1
find the slope m
m=(y2-y1)/(x2-x1)-----> m=</span>(4-5)/(3+5)-----> m=-1/8
step 2
with C(3,4) and m=-1/8
find the equation of a line
y-y1=m*(x-x1)-----> y-4=(-1/8)*(x-3)----> y=(-1/8)*x+(3/8)+4
y=(-1/8)*x+(3/8)+4----> multiply by 8----> 8y=-x+3+32
8y=-x+35
the standard form is Ax+By=C
so
x+8y=35
A=1
B=8
C=35
the answer isx+8y=35
Answer: 0.8% of 5,700 = <u><em>45.6 </em></u>
Step-by-step explanation:
0.8% × 5,700 =
(0.8 ÷ 100) × 5,700 =
(0.8 × 5,700) ÷ 100 =
4,560 ÷ 100 =
45.6;