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2 years ago

For each right triangle below, find the missing side (Pythagorean’s Theorem) and the missing angle (Angle Sum theorem.)

Mathematics

2 answers:

nalin [4]2 years ago

6 0

Answer: 180

i thank hopeful \

Ann [662]2 years ago

4 0

The sum of ALL triangle will ALWAYS = 180°

So,

90 + 45 + a = 180
135 + a = 180
a = 45°

Now let’s find the missing side:

n^2 = 6^2 + 6^2
n^2 = 36 + 36
n^2 = 72

Square root the equation:

n = 8.48

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A, B and C are events such that P(A) = 1/3, P(B) = ¼, and P(C) = 1/5. Find P(AUBUC) under each of the following assumptions: a)

marta [7]

(a) If $A,B,C$ are mutually exclusive, then

$P(A\cap B)=P(A\cap C)=P(B\cap C)=P(A\cap B\cap C)=0$

so we have

$P(A\cup B\cup C)=P(A)+P(B)+P(C)=\dfrac{47}{60}$

(b) If $A,B,C$ are mutually independent, then

$P(A\cap B)=P(A)P(B),$

$P(A\cap C)=P(A)P(C),$

$P(B\cap C)=P(B)P(C),$

$P(A\cap B\cap C)=P(A)P(B)P(C)$

so that

$P(A\cup B\cup C)=P(A)+P(B)+P(C)-(P(A\cap B)+P(A\cap B)+P(B\cap C))+P(A\cap B\cap C)$

$P(A\cup B\cup C)=\dfrac{47}{60}-\left(\dfrac1{12}+\dfrac1{15}+\dfrac1{20}\right)+\dfrac1{60}$

$P(A\cup B\cup C)=\dfrac35$

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3 years ago

an internet passcode consists of a digit followed by a letter, followed by another digit. Assuming the digits are 0-9, how many

anyanavicka [17]

There are 10 single-digits (0 through 9) and 26 letters (A through Z)

For the first slot there are 10 choices which represents selecting a single digit
For the second slot there are 26 choices because we choose a single letter here.
Finally there are another 10 choices for the third slot (assuming repeats are allowed)

Multiply the values out: 10*26*10 = 260*10 = 2600

Answer: 2600

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3 years ago

What is m∠C?<br><br><br><br> Enter your answer in the box.

suter [353]

The interior angles of a triangle add up to 180 degrees

3x + 2x + x = 180
6x = 180
x = 180/6
x = 30

< C = 2x.......2(30) = 60 <===
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6 0

2 years ago

Diana invested $3000 in a savings account for 3 years. She earned $450 in interest over that time period. What interest rate did

matrenka [14]

If I=P*r*t, we can input 450 in for I, 3000 in for the principal (P, or the starting rate), and 3 for t=time because there were three years, resulting in 450=9000*r. Next, we can divide both sides by 9000 to get 0.05 or 5% as our answer.

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2 years ago

Which is equivalent to square root 8 to the third power

xz_007 [3.2K]

Answer:

Step-by-step explanation:

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∛x = x^(⅓)

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2 years ago