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insens350 [35]
3 years ago
12

What is the answer to number 5?

Mathematics
1 answer:
Basile [38]3 years ago
3 0
Factor out -x from the expression

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The hypotenuse of a 45°-45°-90° triangle measures 8 inches. What is the length of each leg?
LenaWriter [7]

Answer:

4.24, the hypotenuse is each leg multiplied by root 2, so you divide 6 by the root of 2

Step-by-step explanation:

4 0
3 years ago
part 3. Find the value of the trig function indicated, use Pythagorean theorem to find the third side if you need it.​
Nat2105 [25]

Answer:  \bold{9)\ \sin \theta=\dfrac{1}{3}\qquad 10)\ \sin \theta = \dfrac{4}{5}\qquad 11)\ \cos \theta = \dfrac{\sqrt{11}}{6}\qquad 12)\ \tan \theta = \dfrac{17\sqrt2}{26}}

<u>Step-by-step explanation:</u>

Pythagorean Theorem is: a² + b² = c²   , <em>where "c" is the hypotenuse</em>

<em />

9)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{4}{12}\quad \rightarrow \large\boxed{\dfrac{1}{3}}

Note: 4² + (8√2)² = hypotenuse²   →   hypotenuse = 12

10)\ \sin \theta=\dfrac{\text{side opposite of}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{16}{20}\quad \rightarrow \large\boxed{\dfrac{4}{5}}

Note: 12² + opposite² = 20²   →   opposite = 16

11)\ \cos \theta=\dfrac{\text{side adjacent to}\ \theta}{\text{hypotenuse of triangle}}=\dfrac{\sqrt{11}}{6}\quad =\large\boxed{\dfrac{\sqrt{11}}{6}}

Note: adjacent² + 5² = 6²   →   adjacent = √11

12)\ \tan \theta=\dfrac{\text{side opposite of}\ \theta}{\text{side adjacent to}\ \theta}=\dfrac{17}{13\sqrt2}\quad =\large\boxed{\dfrac{17\sqrt2}{26}}

Note: adjacent² + 7² = (13√2)²   →   adjacent = 17

5 0
3 years ago
What is the LCM of 8 and 10
iragen [17]
40


8x5=40
10x4=40

Hope this helps
3 0
2 years ago
Multiply: (5.8 x 10^-6) x (2 x 10^4).
Nitella [24]

Answer:

1.16*10^{-1}

Step-by-step explanation:

(5.8*10^{-6}) *(2*10^{4})\\=11.6*10^{-2}\\=1.16*10^{-1}

6 0
3 years ago
0.00204 written as standard form
joja [24]

Answer:

2.04 x 10^3  or 20.4 x 10^4

Step-by-step explanation:

you can count how many spaces you need to move the decimal. You need to move it 3 spaces to get 2.04 so you put 3 as the exponent to get 10^3

Can you please mark me Brainliest, It would help (✿◠‿◠)

3 0
3 years ago
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