Answer:
Step-by-step explanation:
<u>The Volume of Rectangular Prism</u>
Given a rectangular prism of dimensions W, L, and H, its volume is the product of the three dimensions:
V = WLH
The figure shows the dimensions:
L=3 cm
Thus, the volume is:
Simplifying:
It is E X= 22
J LINE SUPPLEMENTARY ANGLE so
the angle is = 180 - (5x-16 ) = 180-5x +16 =196 -5x ( angle in the triangke )
the other angle in the triangle = 50 ( alt interior angles line l parallel m
then we took the triangle sum = 180
<span>196 -5x </span> + 2x +50 = 180
so x = 22
Answer:
a = l²
v = s³
Step-by-step explanation:
The area of a rectangle is the product of its length and width. When that rectangle is a square, the length and width are the same. Here, they are given as "l". Then the area of the square is ...
a = l·l = l²
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The volume of a cuboid is the product of its height and the area of its base. A cube of edge length s has a square base of side length s and a height of s. Then its volume will be ...
v = s·(s²) = s³
The two equations you want are ...
• a = l²
• v = s³
Given that,
An equation : -9c² +2c +3 = 0
To find,
Find the value of x.
Solution,
We have, -9c² +2c +3 = 0
We can solve it using the formula as follows :
Here, a = -9, b = 2 and c =3
Put the values,
So, the solution are -0.47 and 0.69.
Answer:
the prices were $0.05 and $1.05
Step-by-step explanation:
Let 'a' and 'b' represent the costs of the two sodas. The given relations are ...
a + b = 1.10 . . . . the total cost of the sodas was $1.10
a - b = 1.00 . . . . one soda costs $1.00 more than the other one
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Adding these two equations, we get ...
2a = 2.10
a = 1.05 . . . . . divide by 2
1.05 -b = 1.00 . . . . . substitute for a in the second equation
1.05 -1.00 = b = 0.05 . . . add b-1 to both sides
The prices of the two sodas were $0.05 and $1.05.
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<em>Additional comment</em>
This is a "sum and difference" problem, in which you are given the sum and the difference of two values. As we have seen here, <em>the larger value is half the sum of the sum and difference</em>: a = (1+1.10)/2 = 1.05. If we were to subtract one equation from the other, we would find <em>the smaller value is half the difference of the sum and difference</em>: b = (1.05 -1.00)/2 = 0.05.
This result is the general solution to sum and difference problems.
