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Mathematics

1 answer:

Paul [167]3 years ago

6 0

Answer: D. $\text{Area of square 1+Area of square 2=Area of square 3 }$

Step-by-step explanation:

Let the 'h' be the length of the hypotenuse of the right angle, 'a' be the side corresponding to the square 2 and 'b' be the side corresponding to the square 1 .

Since, area of square = $(side)^2$

Then, Area of square 1 = $b^2$ ......................(1)

Area of square 2 = $a^2$ ......................(2)

Area of square 3 = $h^2$ ......................(3)

Using Pythagoras theorem in given right triangle, we get

$h^2=a^2+b^2\\\\\Rightarrow\text{Area of square 3 =Area of square 1+Area of square 2 }$ [from (1),(2) and (3)]

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anygoal [31]

$\sin(30°) = \frac{6}{x} \Leftrightarrow x = \frac{6}{ \sin(30°)} = \frac{6}{ \frac{1}{2} } = 6 \times 2 = 12 \\ \Rightarrow D.\: 12$

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3 years ago

Read 2 more answers

Jessica has a four-sided die, a six-sided die, and a 12-sided die. She rolls the three dice once. Let Z be the number of fours s

yawa3891 [41]

Answer:

The value of E [Z] is 0.50.

Step-by-step explanation:

The expected value is computed using the formula:

$E(X)=\sum x\cdot P(X= x)$

Denote the three dices as follows:

X₁ = a four-sided die

X₂ = a six-sided die

X₃ = a 12-sided die

Define the indicator variables as follows:

$I_{1}=\left \{ {{1;\ X_{1}=4} \atop {0;\ X_{1}\neq 4}} \right. \\\\I_{2}=\left \{ {{1;\ X_{2}=4} \atop {0;\ X_{2}\neq 4}} \right. \\\\I_{3}=\left \{ {{1;\ X_{3}=4} \atop {0;\ X_{3}\neq 4}} \right.$