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Mademuasel [1]
2 years ago
12

Find the missing side: What’s the missing side

Mathematics
1 answer:
Law Incorporation [45]2 years ago
3 0

Answer:

B

Step-by-step explanation:

Using Pythagoras' identity in the right triangle.

The square on the hypotenuse is equal to the sum of the squares on the other 2 sides, that is

x² = 13² + 4² = 169 + 16 = 185 ( take the square root of both sides )

x = \sqrt{185} ≈ 13.6 ( to 1 dec. place ) → B

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Find the product of 4cis (pi/4) times 5cis (pi/6) in polar form.
KengaRu [80]

We have the following expression

4\cdot\text{cis(}\frac{\pi}{4})\cdot5\text{cis(}\frac{\pi}{6})

This is equivalent to

4\cdot\text{cis(}\frac{\pi}{4})\cdot5\text{cis(}\frac{\pi}{6})=(4\times5)cis(\frac{\pi}{4}+\frac{\pi}{6})

Since

\frac{\pi}{4}+\frac{\pi}{6}=\frac{6\pi+4\pi}{24}=\frac{10}{24}\pi=\frac{5}{12}\pi

we have that

4\cdot\text{cis(}\frac{\pi}{4})\cdot5\text{cis(}\frac{\pi}{6})=20cis(\frac{5\pi}{12})

Therefore, the answer is the second option from top to bottom.

3 0
1 year ago
51. q(x) = 2 * (x - 1) ^ 2 + 5 , what is the value of q(- 3) ?
Sloan [31]

Answer:

26.69

Step-by-step explanation:

8 0
3 years ago
Diego had $21.32 and gave $9.50 to Elena. How much did he have left?
Charra [1.4K]

Answer:

11.82

Step-by-step explanation: I know this because 21.32-9.50= 11.82

7 0
3 years ago
What is the solution of the system?
evablogger [386]
Subsitution

solve for y in first equation
add 2x to both sides
y=2x+8
sub 2x+8 for y in second equation
16+4x=2(2x+8)
divide both sides by 2
8+2x=2x+8
true
there are infinite solutions for x
therefor infinite soltions for y


there are an infinite number of solutions
8 0
3 years ago
Use the figure to find x.
velikii [3]

Answer:

Step-by-step explanation:

The sides of a 30-60-90 triangle are in the ratio 1:√3:2

The side opposite the 30° angle is (12√6)÷2 = 6/√6.

The side opposite the 60° angle is √3×6/√6 = 6/√2 =3√2.

The sides of a 45-45-90 triangle are in the ratio 1:1:√2

The hypotenuse is 3√2, so the side opposite the 45° angle is 3.

x = 3

3 0
3 years ago
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