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3 years ago

Please help me, will mark you as brainiest! Don’t answer if you don’t know it!

Mathematics

1 answer:

Vesnalui [34]3 years ago

6 0

Answer:

The correct option is;

26.8

Step-by-step explanation:

The given parameters are;

The perpendicular bisectors of the sides of ΔMNP = Segments OQ, OR, and OS

Therefore;

in Segment MN, segment QM = segment QN, by definition of bisected line

Segment OQ = Segment OQ by reflexive property

∠OQM = ∠OQN = 90° by definition of perpendicular bisector

∴ ΔOQN ≅ ΔOQM, by SAS rule of congruency

Segment MO ≅ Segment ON by Congruent Parts of Congruent Triangle are Congruent, CPCTC

Segment MO = Segment ON = 26.8, by definition of congruency

Segment MO = 26.8

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Solve: 2cos(x)-square root 3=0 for 0 less than x less than 2 pi

Leona [35]

Answer:

The general solution of $cos x = cos(\frac{\pi }{6})$ is

x = 2nπ± $\frac{\pi }{6}$

The general solution values

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

Step-by-step explanation:

Explanation:-

Given equation is

$2cosx-\sqrt{3} =0 for 0$

$2cosx =\sqrt{3}$

Dividing '2' on both sides, we get

$cos x =\frac{\sqrt{3} }{2}$

$cos x = cos(\frac{\pi }{6})$

General solution of cos θ = cos ∝ is θ = 2nπ±∝

Now The general solution of $cos x = cos(\frac{\pi }{6})$ is

x = 2nπ± $\frac{\pi }{6}$

put n=0

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

Put n=1

$x = 2\pi +\frac{\pi }{6} = \frac{13\pi }{6}$

$x = 2\pi -\frac{\pi }{6} = \frac{11\pi }{6}$

put n=2

$x = 4\pi +\frac{\pi }{6} = \frac{25\pi }{6}$

$x = 4\pi -\frac{\pi }{6} = \frac{23\pi }{6}$

And so on

But given 0 < x< 2π

The general solution values

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

6 0

3 years ago

What is the remainder when (3x4 + 2x3 − x2 + 2x − 19) ÷ (x + 2)? 0 5 10 15

Elanso [62]

Answer: Second option is correct.

Explanation:

Since we have given that

$f(x)=3x^4+2x^3-x^2+2x-19$

And $g(x)=x+2$

To find the remainder, we use the Remainder Theorem, which states that when f(x) is divided by (x-c) then the f(c) is the required remainder.

So,

Here, we have,

$x+2=0\\\\x=-2$

So, we will find f(-2) which will give us the required remainder,

$f(-2)=3(-2)^4+2(-2)^3-(-2)^2+2(-2)-19\\\\f(-2)=(3\times 16)-(2\times 8)- 4-4-19\\\\f(-2)=48-16-36-4-19\\\\f(-2)=5$

Hence, Second option is correct.

7 0

3 years ago

Factor: x^2 + 11xy - 26y^2

irina1246 [14]

Hello.

(x + 2y) • (x - 13y) Step by step solution :Step 1 :Equation at the end of step 1 : ((x2) - 11xy) - (2•13y2) Step 2 :Trying to factor a multi variable polynomial :

2.1 Factoring x2 - 11xy - 26y2

Try to factor this multi-variable trinomial using trial and error

Found a factorization : (x + 2y)•(x - 13y)

Final result : (x + 2y) • (x - 13y)

Have a nice day

3 0

3 years ago

Read 2 more answers

Y=-3|x+1|+1 ,what is the slope and vertex?

hodyreva [135]

Answer:

Alright well Graph the absolute value using the vertex and a few selected points

X: -3, -2, -1, 0, 1

Y: -5, -2, 1, -2, -5 . Hope this helps :)

Step-by-step explanation:

4 0

3 years ago

The color distribution of Skittles is the following: 10% blue, orange, and green each, 23.3333% yellow, red, and purple each. In

irina1246 [14]

Answer:

Step-by-step explanation:

Given that:

Percentage of blue, orange and green = 10%

Percentage of yellow, red and purple = 23.3333%

Number of skittles in bag by color :

Red = 137

Orange = 39

Yellow = 130

Green = 39

Blue = 43

Purple = 112

According to the color distribution :

Number of blue, orange and green should be the same and also number of yellow, red and purple skittles must be the same.

Total number of skittles :

(137 + 39 + 130 + 39 + 43 + 112) = 500

10% of the total = 0.1 * 500 = 50

Hence,

We should have 50 blue, orange and green skittles

23.33333% of total = 116.666 (about 117 skittles of yellow, red and purple color)

3 0

2 years ago