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3 years ago

Find the squares of (x+3)

Mathematics

1 answer:

d1i1m1o1n [39]3 years ago

5 0

Answer:

${x}^{2} + 6x + 9 \\$

Step-by-step explanation:

${(x + 3)}^{2} \\ (x + 3)(x + 3) \\ x(x + 3) + 3(x + 3) \\ {x}^{2} + 3x + 3x + 9 \\ {x}^{2} + 6x + 9 \\$

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

Step-by-step explanation:

Pythagorean Theorem is: a² + b² = c² , where "c" is the hypotenuse

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

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 volume of this figure? Enter your answer in the box. yd³

tia_tia [17]

Answer:

4095

Step-by-step explanation:

This Is for the 4.07 K-12 Quiz! <3

6 0

2 years ago

Draw the multiplication table on the P=(3,5,7,9) in module 12

Lisa [10]

Answer:

Find the attached file for the solution

Step-by-step explanation: To draw the multiplication table on the P=(3,5,7,9) in module 12, create the table where all the given parameters will be at the top of horizontal axis and vertical axis,

When multiply by each other, any value that is below 12 will be written down while the value greater than 12 will be divided by 12 and the remainder will be written down.

Find the attached file for the solution and table.

8 0

3 years ago

What are the roots of 12x = 9 + 5x2?

marusya05 [52]

Minus 12x both sides
0=5x^2-12x+9
use quadratic formula
for 0=ax^2+bx+c
x=

given
5x^2-12x+9
a=5
b=-12
c=9
remember: i=√-1

3 0

3 years ago

7.) If a circle has a diameter of 40 inches, what is the same circles radius?

My name is Ann [436]

The radius is always half of the diameter so it would be 20 inches

5 0

3 years ago

Find the squares of (x+3)​

Find the squares of (x+3)