Answer:
Total area of figure = [3x² + 7x + 6] feet²
Step-by-step explanation:
By dividing both rectangle by vertical line;
Given:
Length of big rectangle = (x + 3) feet
Width of big rectangle = (x + 2) feet
Length of small rectangle = 2x feet
Width of small rectangle = (x + 1) feet
Find:
Total area of figure
Computation:
Area of rectangle = Length x width
Total area of figure = Area of big rectangle + Area of small rectangle
Total area of figure = [(x + 3)(x + 2)] + [(2x)(x + 1)]
Total area of figure = [x²+ 2x + 3x + 6] + [2x² + 2x]
Total area of figure = [3x² + 7x + 6] feet²
Answer:
90% correct
Step-by-step explanation:
You want to make calculating easy and to do this, you multiply write out 18 out of 20 like a fraction, 18/20, and multiply both the numerator and the denominator by 5 because 20*5 = 100. 18*5 = 90. 90/100 is the same thing as 90%. Hope this helps!
Step One
Solve for CE as a numerical value
CE = 1/2 * CD = 1/2 66 = 33
CE = 33
Step Two
Solve for x
CD also equals x^2 - 3 which is given.
x^2 - 3 = 33 Add 3 to both sides
x^2 = 33 + 3
x^2 = 36 Take the square root of both sides
sqrt(x^2) = sqrt(36)
x = 6
Step 3
Find the length of AE
AE is given as 6x - 10
x = 6
AE = 6*6 - 10
AE = 36 - 10
AE = 26
Step 4
Find AB
AE = 1/2 AB Definition of bisect
26 = 1/2 AB Multiply by 2
2*26 = AB
AB = 52 <<<<<<<<Answer
Answer:
Binomial distribution,
n = 36 independent events,
p = 0.5 probability of success and of failure, as 1-p = p.
Mean of binomial distribution is np=18.
Variance is np(1-p)=9
Standard deviation is sqrt(variance)=3.
<h2>$2.98</h2>
Step-by-step explanation:
5 bags of chips and 4 jars of dipping sauce cost $21.82. Also, 4 bags of chips and 3 jars of dipping sauce cost $16.86.
This problem can be modeled using linear equations in two variables.
Let 
be the cost of a bag of chip and 
be the cost of a jar of dipping sauce.
The information yields the equations
∴ A jar of dipping sauce costs 
.
