Plz help :)))))))))))))))))))))))))

In circle o,find the value of x, rounded to the nearest tenth.

Gemiola [76]

Answer:

$\huge\boxed{x \approx 5.4}$

Step-by-step explanation:

We can break down this problem by first realizing different parts of the circle.

The line which is 8 units long is a chord of the circle.
The line that is 3.6 is almost the radius of the circle
The line that x sits on is the radius.

With this, we can find out if we find the radius of the circle, we have our answer.

We should also note that the angle formed by the 3.6 units long line and the chord is a right angle.

What we need is a way to find the radius of the circle. This will get us x. The radius of a circle will be the length of any line that starts from point O and ends at the circle edge.

If we draw a line connecting the end of the 3.6 line at point O to the end of the 8 unit long chord, we get a triangle! (Image attached for reference).

We can solve for the hypotenuse using the Pythagorean Theorem. This theorem states that:

$\displaystyle a^2 + b^2 = c^2$

Since we know one side is 3.6, we can use that as A. The second side will be 4 since the 3.6 line lies directly in the center of the chord = 8/2 = 4!

$3.6^2 + 4^2 = c^2$
$12.96+16=c^2$
$28.96=c^2$
$\sqrt{28.96} = c$
$5.4 \approx c$

Therefore, since this is the radius of the circle (also the hypotenuse), this can be said for any line that comes from point O onto the edge of the circle.

The line X does just that. Therefore, the value of x is also 5.4.

Hope this helped!

4 0

3 years ago

Solve the equation using square roots. (X+3)^2=0

Vilka [71]

Answer:

x=3

Step-by-step explanation:

(x−3)^2=0

Set the x−3 equal to 0.

x−3=0

Add 3 to both sides of the equation.

x=3

7 0

2 years ago

Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 141 millimeters,

tiny-mole [99]

Answer:

Probability that the sample mean would be greater than 141.4 millimetres is 0.3594.

Step-by-step explanation:

We are given that Thompson and Thompson is a steel bolts manufacturing company. Their current steel bolts have a mean diameter of 141 millimetres, and a standard deviation of 7.

A random sample of 39 steel bolts is selected.

Let $\bar X$ = sample mean diameter

The z score probability distribution for sample mean is given by;

Z = $\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } } }$ ~ N(0,1)

where, $\mu$ = population mean diameter = 141 millimetres

$\sigma$ = standard deviation = 7 millimetres

n = sample of steel bolts = 39

Now, Percentage the sample mean would be greater than 141.4 millimetres is given by = P( $\bar X$ > 141.4 millimetres)

P( $\bar X$ > 141.4) = P( $\frac{ \bar X-\mu}{\frac{\sigma}{\sqrt{n} } } }$ > $\frac{141.4-141}{\frac{7}{\sqrt{39} } } }$ ) = P(Z > 0.36) = 1 - P(Z $\leq$ 0.36)

= 1 - 0.6406 = 0.3594

The above probability is calculated by looking at the value of x = 0.36 in the z table which has an area of 0.6406.

8 0

3 years ago

I WILL MARK BRAINLIEST IN ONLY 5-10 MINUTES.

Nesterboy [21]

LAMAOO I NEED A PICTURE PLS

3 0

3 years ago

The point begin ordered pair, 3, negative 3, end ordered pair is the solution to which of the following systems of equations? A

ryzh [129]

so basically for this problem you're just going to plug in the point (3,-3) into every equation, keeping in mind that the 3 is the x value and that the -3 is the y value. once you plug it in you can just use order of operations (pemdas) to solve.

the equations that do work with the point (3,-3) are (2x+4y=-6)

(2x-3y=15)

(8x+3y=15)

(7x-2y=-24)

Step-by-step explanation:

so to work one of these problems you take (2x+4y=-6) and plug in your variables.

2(3)+4(-3)=-6

then you're going to multiply

6-12=-6

the subtract the negative twelve from the 6

-6=-6

so we get a true statement. if you do this and the two numbers don't match then the equation does not work with your point. I hope this helps!

4 0

3 years ago