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3 years ago

Can someone who knows geometry help me

Mathematics

1 answer:

Anuta_ua [19.1K]3 years ago

7 0

3) . Ddraw the radius to the right side of the chord. So you formed a right triangleNow let's apply Pythagoras

3.6² + 5.5²= x² ==> x = 6.57 ≈ 6.6

4) same logic but the other leg = x/2 you will find
x² = 133/4 & x =5.766≈ 5.8

5) arc ab = arc de (1st proposition)

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3x^2+2root5x-5=0 <br> Completing the square method <br> I am supposed to get answer as root 5/3

Valentin [98]

Answer:

x = ± $\frac{\sqrt{5} }{3}$

Step-by-step explanation:

Given

3x² + 2 $\sqrt{5}$ x - 5 = 0 ( add 5 to both sides )

3x² + 2 $\sqrt{5}$ x = 5

Before completing the square we require the coefficient of the x² term to be 1

Factor out 3 from each term on the left side

3(x² + $\frac{2\sqrt{5} }{3}$ x ) = 5

To complete the square

add/ subtract ( half the coefficient of the x- term)² to x² + $\frac{2\sqrt{5} }{3}$ x

3(x² + 2( $\frac{\sqrt{5} }{3}$ )x + $\frac{5}{9}$ - $\frac{5}{9}$ ) = 5

3(x + $\frac{\sqrt{5} }{3}$ )² + ( 3 × - $\frac{5}{9}$ ) = 5

3(x + $\frac{\sqrt{5} }{3}$ )² - $\frac{5}{3}$ = 5 ( add $\frac{5}{3}$ to both sides )

3(x + $\frac{\sqrt{5} }{3}$ )² = $\frac{20}{3}$ ( divide both sides by 3 )

(x + $\frac{\sqrt{5} }{3}$ )² = $\frac{20}{9}$ ( take the square root of both sides )

x + $\frac{\sqrt{5} }{3}$ = ± $\sqrt{\frac{20}{9} }$ = ± $\frac{2\sqrt{5} }{3}$ ( subtract $\frac{\sqrt{5} }{3}$ from both sides )

x = - $\frac{\sqrt{5} }{3}$ ± $\frac{2\sqrt{5} }{3}$

Thus

x = - $\frac{\sqrt{5} }{3}$ - $\frac{2\sqrt{5} }{3}$ = - $\frac{\sqrt{5} }{3}$

x = - $\frac{\sqrt{5} }{3}$ + $\frac{2\sqrt{5} }{3}$ = $\frac{\sqrt{5} }{3}$

3 0

4 years ago

At Chestatee Middle School, 120 students are in choir. The ratio of girls to boys in choir is 5:3.

Serhud [2]

Let the total number of students be x;
given that the ratio of girls to boys is 5:3, then:
The equation that represents the number of girls will be:
5/8x
The equation that represents the number of boys will be :
3/8x
The equation that represents the total number of boys and girls will be:
5/8x+3/8x

B] suppose there are g number of girls. The equation that represents the number of boys in terms of number of girls will be:
(ratio of boys to girls)×(number of girls)
3/5×(g)
=(3g)/5

8 0

3 years ago

Read 2 more answers

Which types of triangles can have three angles that measure less than 90°?

crimeas [40]

Answer:

<h2>Acute triangle </h2>

Step-by-step explanation:

<h3>An acute triangle has three angles which are less than 90°.</h3>

<h2>HOPE IT HELPS YOU!! </h2>

7 0

3 years ago

What is the unit rate of a 1.25L Coca Cola that cost $1.29

Artyom0805 [142]

a 1.25L Coca Cola that cost $1.29

Unit rate means we need to find the rate of 1 liter of Coca Cola

1.25 L Coca Cola = $1.29

1 L of Coca Cola = ?

To find 1 liter of Coca cola divide the cost by liter, so we divide 1.29 by 1.25

$\frac{1.29}{1.25}$

1.032

So the cost of 1 liter of Coco Cola = $1.032

5 0

3 years ago

six people, including A,B, and C, form a queue in a random order (all 6! orderings are equiprobable). Consider the event "B is b

mojhsa [17]

Answer:

There is a 1.39% probability that "B is between A and C in the queue".

Step-by-step explanation:

The first step to solve this problem is find the total number of possible orderings:

The first person of the queue can be any of the six. The second, can be any but the first, so five.

There are 6*5*4*3*2*1 = 720 total queue orderings.

Now we find the number of queues that B is between A and C. So:

We have:

B as the second, A as the first and C as the third

B as the second, C as the first and A as the third

B as the third, A as the second and C as the fourth

B as the third, C as the second and A as the fourth

B as the fourth, A as the third and C as the fifth.

B as the fourth, C as the third and A as the fifth.

B as the fifth, A as the fourth and C as the sixth.

B as the fifth, C as the fourth and A as the sixth.

So 8 total outcomes in which B is between A and C.

What is its probability?

$P = \frac{8}{720} = 0.0111$

There is a 1.11% probability that "B is between A and C in the queue".

6 0

3 years ago

Read 2 more answers