Answer:
Step-by-step explanation:
The area of a trapezoid is the average of the parallel bases times the height.
A=h(a+b)/2 and since we have two identical trapezoids the total are will be
A=h(a+b) in this case
A=15(32+25)=855mm^2
Answer:
The similarity ratio is 4 4/1 or 4
Step-by-step explanation:
You find that one of them has side lengths of 1 and the other has side lengths of 4
Like terms are those terms that are having the same variables, also the variables are of the same order as well. The first step to solving an equation is to rearrange the like terms.
<h3>What are Like terms?</h3>
Like terms are those terms that are having the same variables, also the variables are of the same order as well.
for example, 25x and 5x are like terms; 30xy and 7xy are like terms, 9x³ and 4x² are not like terms, etc.
To solve an equation the first step is to rearrange the equation such that like terms are together.
Hence, the first step to solving an equation is to rearrange the like terms.
Learn more about Like Terms:
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Answer:
P(X<65)=0.9452
Step-by-step explanation:
This is a normal distribution problem.
-Given the mean age is 53 years and the standard deviation is 75, the probability of dying before age 65 is calculated as:

#We check the value of z=1.60 on the z table:

Hence, the probability of dying before 65 is 0.9452
Answer:
x is equal to 2.5 and -4.5
Step-by-step explanation:
-4(x + 1)² - 3 = -51
-4(x² + 2x + 1) - 3 = -51
-4x² - 8x -3 - 3 = -51
-4x² - 8x - 6 = -51
-4x² - 8x = -45
-4(x^2 + 2x) = -45
-4(x^2 + 2x + 1) = -49
-4(x + 1)² = -49
(x + 1)² = 49/4
x + 1 = ± √(49/4)
x + 1 = ± 7/2
x = -1 ± 3.5
x = 2.5, -4.5