Answer:
area = 120√2 ft² or 169.71 ft²
Step-by-step explanation:
x² = 9² - 3² = 81 - 9 = 72
x = √72 = √(36 x 2) = 6√2 ft or 8.49 ft
area = 1/2(5 + 8)(6√2) = 120√2 ft² or 169.71 ft²
Number of cards in a deck = 52
Number of back sevens = 2
Number of red three = 2
P(Black seven or red three) 4/52 = 1/13
Answer: 1/13
35.937 inches cubed
To find volume: <em> length </em><em>x</em><em> width </em><em>x</em><em> height</em>
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You have to multiply the two complex numbers, and simplify the result as one single complex number.
A complex number is composed by two terms: the real part, which is a real number, and an imaginary part, which is a multiple of i, the imaginary unit.
So, for example, the first factor is , which means that the real part is 15, and the imaginary part is -4i.
To multiply two complex numbers, you multiply each terms of the first number with each terms of the second number, just like you would multiply two polynomials like . The only exception is that you have to keep in mind that .
So, if we multiply these two numbers term by term we have
This can be simplified to
Summing like terms and recalling that we have
So, the multiplication of the two factor gives as result the complex number . This means that the real part is 78, and the imaginary part is 69i. If you compare the two forms, you have
Answer:
Global prevalence among adults (the percent of people ages 15-49 who are infected) has leveled since 2001 and was 0.8%in 2018 (see Figure 1).
There were 37.9 millionpeople living with HIV in 2018 (see Table 1), up from 31.7 million in 2010, the result of continuing new infections and people living longer with HIV. Of the people living wi...
Although HIV testing capacity has increased over time, enabling more people to learn their HIV..