Answer:
Step-by-step explanation:9m -3m +2n = 6m+2n
Answer:
13 ft.
Step-by-step explanation:
Lateral Surface area of a cube is the area of 4 sides, front side, back side, left side face and right side face.
It can be seen seen from the attached figure as well.
Each face in a cube is a square. And each side in the cube is equal.
So, Lateral surface area is nothing but 4
area of a square.
And we know that area of a square =
.
Hence, Lateral surface area = 
As per question:
= 676

Hence, side length of cube = 13 feet.
Answer:
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Answer:
( √15 + 8)/7
Step-by-step explanation:
TanA = -√15
.we are to find tan(A-π/4).
In trigonometry
Tan(A-B) = TanA - TanB/1+ tanAtanB
Hence:
tan(A-π/4) = TanA - Tanπ/4/1+ tanAtanπ/4
Substitute tan A value into the formula
tan(A-π/4) = -√15-tanπ/4 / 1+(-√15)(tanπ/4
tan(A-π/4) = -√15-1/1-√15
Rationalize
-√15-1/1-√15 × 1+√15/1+√15
= -√15-√225-1-√15/(1-√225)
= -2√15-15-1/1-15
= -2√15 -16/(-14)
= -2(√15+8)/-14
= √15 + 8/7
Hence the required value is ( √15 + 8)/7
C. 3.16 is the right answer
Step-by-step explanation:
The distance formula used in coordinate geometry is derived from the Pythagorean theorem.
The distance formula is give by:

Here (x1,y1) are the coordinates of first point and (y1,y2) are the coordinates of second point
Here,
(x1,y1) = (5,-3)
(x2,y2) = (6,0)
Putting the values in the formula

The distance between two points is 3.16 units.
Hence,
C. 3.16 is the right answer
Keywords: Coordinate geometry, Pythagorean Theorem
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