Answer:
Volume of the prism is 648
Step-by-step explanation:
Given:
Base of the prism is rectangular in shape
Height of the prism = 6 cm
Base length of the prism= 12 cm
Base width of the prism= 9 cm
To Find:
Volume of the prism=?
Solution:
Volume of the prism ,
V= Base area of the prism x Height of the prism
Here in the figure base of the prism is in Rectangular form
So the base area of the prism = area of the rectangle
We know that the area of the rectangle is = length x height
Substituting the values
Area of the Rectangle = 12 x 9
Area of the Rectangle = 108
So the are of the base of the prism is 108
Now
Volume of the prism,
V= 108 X 6
V= 648
Answer:
Step-by-step explanation:
y=5x-6x
y=(-1x)
Answer should be $127 that she still needs to save
The problem statement tells you ∠MLK is 61°, so ∠LMK = 180° -68° -61° = 51°. Since a tangent is always perpendicular to a radius, triangles LJM and LJK are right triangles.
Trigonometry tells you ...
tangent = opposite / adjacent
so you can write two relations involving LJ.
tan(51°) = LJ/JM
tan(68°) = LJ/JK
The second equation can be used to write an expression for LJ that can be substituted into the first equation.
LJ = JK*tan(68°) = 3*tan(68°)
Substituting, we have
tan(51°) = 3*tan(68°)/JM
Multiplying by JM/tan(51°), we get
JM = 3*tan(68°)/tan(51°)
JM ≈ 6.01
The radius of circle M is about 6.01.
Answer:
m=1/7
Step-by-step explanation:
Labeled the points and used Slope of a line formula.
