Luis solves the following system of equations by elimination.

Mathematics

1 answer:

Komok [63]2 years ago

5 0

The value of s is 11

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What is the area of this figure?

nalin [4]

Answer:

<em>290.5 square miles</em>

Step-by-step explanation:

Consider splitting this figure into two mini rectangles and a triangle, each of given lengths;

$Dimensions of Rectangle 1 - Height ; 5 mi, Length ; 7 mi,\\Area of Rectangle 1 - Height * Length = 5 mi * 7 mi = 35 mi^2\\\\Dimensions of Rectangle 2 - Height ; 18 mi, Length ; 8 mi,\\Area of Rectangle 2 - Height * Length = 23 mi * 8 mi = 184 mi^2\\\\Dimensions of Mini Right Triangle - Height ; 11 mi, Base ; 8 + 5 = 13 mi,\\Area of Mini Right Triangle - 1 / 2 * Base * Height = 1 / 2 * 13 mi * 11 mi = 71.5 mi^2,\\\\Area of Figure = 35 mi^2 + 184 mi^2 + 71.5 mi^2 = 290.5 square miles$

<em>Solution; 290.5 square miles</em>

4 0

2 years ago

Suppose that the probability that your mail is delivered before 2pm is .90. What is the probability that your mail will be deliv

Elden [556K]

1. The probability that your mail is delivered before 2 pm is 0.9, so the probability that the mail is delivered at 2 pm or after 2 pm (so not before 2 pm) is 1-0.9=0.1.

Remark: 0.9=9/10=90/100=90%, and 0.1 is 10%

2. Probability of the mail being delivered before 2 pm for 2 consecutive days is
$\frac{90}{100}* \frac{90}{100}= \frac{9}{10}* \frac{9}{10}= \frac{81}{100}=0.81$

3. take a look at the picture attached, the tree diagram is another method we could use.