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2 years ago

What is the value of x?

Mathematics

1 answer:

Juli2301 [7.4K]2 years ago

3 0

Answer:

x = 3 sqrt 2

Step-by-step explanation:

We know that this is a 45, 45m 90 special right triangle. In this special right triangle the side lengths are x, x and the hypotenuse is x sqrt 2 (we can prove this using pythagoreans theorem). 6 is the hypotenuse, meaning that it is equal to x sqrt 2:

6 = x sqrt 2

x = 6/sqrt 2

Rationalize the denominator:

x = (6 sqrt 2)/2

x = 3 sqrt 2

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What integer is equivalent to 9 3/2

Hoochie [10]

Answer:10.5

Step-by-step explanation:

9 3/32 is equal to 9+3/2

Whuch makes it 10 1/2

10.5

3 0

2 years ago

Solutions of x^5-32i=0 in rectangular form.

elixir [45]

$\bf i^5\implies i^4i\implies 1i\implies i
\\\\\\
32=2^5\\\\
-------------------------------\\\\
x^5-32i=0\implies x^5=32i\implies x=\sqrt[5]{32i}\implies x=\sqrt[5]{2^5i^5}
\\\\\\
x=\sqrt[5]{(2i)^5}\implies x=2i\implies x=0+2i\implies (0~,~2)$

6 0

3 years ago

What z score in a normal distribution has 33% of all score above it? ap stats quiz 2.2a answers?

Sladkaya [172]

What z score in a normal distribution has 33% of all score above it?

Answer: A z score which has 33% of all scores above it, will have 67% of all scores below it.

To find the required z score, we need to find the z value corresponding to probability 0.67.

Using the standard normal table, we have:

$z(0.67)=0.44$

Therefore, the z score = 0.44 has 33% of all score above it.

8 0

3 years ago

The vertex from a quadratic function is f(x)=a(x-h)^2+k what is the vertex if each function match the function rule with the coo

MrMuchimi

Answer: (h,k)

Step-by-step explanation: remember that H is your x coordinate and should be the opposite sign of what's in the parenthesis.

7 0

3 years ago

Read 2 more answers

Alfonso scored 1818 points during his last basketball game, which was 40\%40% of the points the entire team scored. The entire t

soldi70 [24.7K]

Answer: 45 points

Step-by-step explanation:

Let the point of the entire team be represented by x.

Alfonso scored 18 points during his last basketball game, which was 40% of the points the entire team scored. This can then be represented in an equation as:

40% of x = 18

40% × x = 18

40/100 × x = 18

0.4 × x = 18

0.4x = 18

x = 18/0.4

x = 45

The team's total point is 45

8 0

3 years ago