The total area of the rectangles are:
a. Area = 15a
b. Area = 2x
c. Area = 3r
d. Area = 24p
e. Area = 14m
f. Area = 15x + 40
<h3>What is the Area of a Rectangle?</h3>
Th area of a rectangle is given by the formula: length × width
a. width = 3
Length = 5 + a = 5a
Area = 5a × 3 = 15a
b. width = 1/3
length = 6x
Area = 6x × 1/3 = 2x
c. width = r
length = 3
Area = 3 × r = 3r
d. width = 6
length = 4p
Area = 4p × 6 = 24p
e. width = m
length = 6 + 8 = 14
Area = 14 × m = 14m
f. width = 5
length = 3x + 8
Area = (3x + 8)5 = 15x + 40
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Answer:
Two differences: A polynomial inequality (PI) can always be replaced by a PI with one side zero. A rational inequality (RI) can not, because you do not know the sign of the denominator; a(x)b(x)>c(x)d(x) can not safely be replaced by a(x)d(x)−b(x)c(x)b(x)d(x)>0 because b(x) and/or d(x) might change signs unexpectedly.
Step-by-step explanation:
<h3><u>
Answer:</u></h3>
From the Venn diagram the value of:
P(A∩B∩C)=3/25
<h3><u>
Step-by-step explanation:</u></h3>
We are asked to find the probability of A∩B∩C.
We know that the probability of A∩B∩C is calculated as the ratio of the values of the region to the total value (i.e. whole of the given universal set)
The value of region A∩B∩C is 6.
and the value of total region is: 50
( since: 9+5+8+4+6+2+7+9=50)
Hence,
P(A∩B∩C)=6/50
On writing it in the simplest fraction we get:
P(A∩B∩C)=3/25
The equation of a circle that contains the point (–5, -3) and has a center at (-2, 1) is (x + 2)² + (y - 1)² = 25
<h3>What is an
equation?</h3>
An equation is an expression that shows the relationship between two or more variables and numbers.
The circle contains the point (–5, -3) and has a center at (-2, 1), hence:
The equation is:
(x - (-2))² + (y - 1)² = 5²
(x + 2)² + (y - 1)² = 25
The equation of a circle that contains the point (–5, -3) and has a center at (-2, 1) is (x + 2)² + (y - 1)² = 25
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Answer:
Step-by-step explanation:
Exact Form:
12 ^3/2
Decimal Form:
41.56921938