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3 years ago

Indicate If these triangles are SSS SAS SAA ASA HL or none

Mathematics

1 answer:

Setler79 [48]3 years ago

4 0

In the two triangles, all the three sides are congruent to the corresponding sides of the other triangle. And in such case, the criteria used for congruency is Side Side Side or SSS .

So the correct option is the first option .

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Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to three decimal plac

Fed [463]

Answer:

$\theta=k\pi, \hspace{3}k\in Z\\\\ or\\\theta =2\pi k \pm arccos(\frac{1 }{8} ), \hspace{3}k\in Z\\$

Step-by-step explanation:

Factor constant terms:

$-2(-4sin(2\theta)+sin(\theta))=0$

Divide both sides by -2:

$sin(\theta)-4sin(2 \theta)=0$

Expand trigonometric functions using the fact:

$sin(2 \theta) =2 sin(\theta) cos(\theta)$

So:

$sin(\theta) -8sin(\theta)cos(\theta)=0$

Factor sin(x) and constant terms and multiply both sides by -1:

$sin(\theta) (8cos(\theta)-1)=0$

Split into two equations:

$(1)=8cos(\theta)-1=0\\\\(2)=sin(\theta)=0$

For (1)

Add 1 to both sides and divide both sides by 8:

$cos(\theta)=\frac{1}{8}$

Take the inverse cosine of both sides:

$\theta =2\pi k \pm arccos(\frac{1 }{8} ), \hspace{3}k\in Z$

For (2)

Simply take the inverse sine of both sides

$\theta = k \pi, \hspace{3}k\in Z$

Therefore, the solutions are given by:

$\theta=k\pi, \hspace{3}k\in Z\\\\ or\\ \theta =2\pi k \pm arccos(\frac{1 }{8} ), \hspace{3}k\in Z\\$

8 0

3 years ago

How many times does 20 go into 110

Sindrei [870]

Answer:

20 goes into 110 five-and-a-half times

Step-by-step explanation:

Let's show our work:

20 + 20 + 20 + 20 + 20 + 10

\____\_____\____/_____/_____/

100

= 20 + 20 + 20 + 20 + 20 + 10

Half of 20 = 10

The keyword is half - so that leaves a 0.5 in your answer to "How many times does 20 go into 110."

How many 20's are there? Let's count!

20 + 20 + 20 + 20 + 20

1 2 3 4 5

So five 20's + one 0.5 = ?

That equals 5.5, because 5 + 0.5 = 5.5

Your answer is 5.5!

I hope this helps!

<h2><u>PLEASE MARK BRAINLIEST!</u></h2>

6 0

3 years ago

Convert ( 4 , 300 ∘ ) to rectangular form.

Rasek [7]

The rectangular representation of the polar point of (4 , 300) is (2,- 2√3)

According to the statement

we have given a coordinates of the rectangle and we have to find the polar coordinates.

So, For this purpose, we know that the

We Use the conversion formulas to convert from polar coordinates to rectangular coordinates which are

x = rcosθ

y = rsinθ

Substitute the given values in it then

x=(4)cos(300)

y=(4)sin(300)

Apply the reference angle by finding the angle with equivalent trig values in the first quadrant.

x=(4)cos(60) -(1)

y= - (4)sin(60) -(2)

And then

x=(4)cos(60)

x=(4)(1/2)

x = 2 -(3)

and

y= - (4)sin(60)

y= - (4)(√3/2)

y= - 2√3 -(4)

Replace (3) with (1) and (4) with (2)

then it becomes

x = 2 and y= - 2√3

The rectangular representation of the polar point of (4 , 300) is (2,- 2√3)

Learn more about polar coordinates here

brainly.com/question/4522672

#SPJ1

6 0

2 years ago

Erin wants to know if warming up will help runners sprint faster. Twenty-six track and field athletes volunteered to participate

dmitriy555 [2]

Answer:

hope it Helps

Step-by-step explanation:

Brainliest please

8 0

3 years ago

Which of the following would be the last step in evaluating the problem 7+5(6-2)%2

salantis [7]

Answer:

7+5(6-2)%2

7+20%2

7+40%

7.4

5 0

3 years ago