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kow [346]
3 years ago
8

Question is in the image

Mathematics
1 answer:
pshichka [43]3 years ago
8 0

Answer:

(x +3)^2 + (y -3)^2 = 3^2

Step-by-step explanation:

Your first task is to find the center.

The longest possible line of the circle goes from (-3,0) to (-3,6)

So the center is at the midpoint of these two points.

The midpoint is at (-3 - 3)/2 , (6+ 0)/2 or (-3,3)

That gives you the center of the circle.

So far what you have is

(x +3)^2 + (y -3)^2 = r^2

Now the distance of the center to the bottom point is (-3,3) to (-3,0)

r^2 = (x2 - x1)^2 + (y2 - y1)^2

x2 = - 3

x1 = - 3

y2 = 3

y1 = 0

r^2 = (-3 - -3)^2 + (3 - 0)^2

r^2 = 3^2

The entire answer is

(x +3)^2 + (y -3)^2 = 3^2

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cluponka [151]

Answer:

Interest She'll make in a year is $30.10125

Step-by-step explanation:

Interest = PRT ÷ 100

Principal = $523.50

Rate = 5³/₄% = 5.75%

Time= 1year

Interest I = (523.50 × 5.75 × 1) ÷ 100 = $30.10125

Interest She'll make in a year is $30.10125

5 0
3 years ago
Question 2.what is the probability that between 80 and 115 complaints are received in one week? use a n(110,20) model to approxi
AURORKA [14]

Calculate standard  Z values for the given data:-

z = (80 - 110) / 20 = - 3/2 = -1.5

and z = (115 - 110) / 20 =  0.25

so we need  Prob ( -1.5 < z < 0.25)

Using standard tables this  comes to 0.5319  Answer


6 0
3 years ago
Given right triangle QRS, what is the value of sin(30°)? StartFraction StartRoot 3 EndRoot Over 3 EndFraction One-half StartFrac
baherus [9]

Answer:

Option 2: \sin(30)=\frac{1}{2}

Step-by-step explanation:

Given:

From the triangle shown below;

A triangle QRS with angle QRS = 90°, ∠QSR = 30°.

Side QR = 5, SQ = 10 and RS = 5√3

Now, we know from trigonometric ratio that,

\sin (A) = \frac{Opposite\ side}{Hypotenuse}

Here, opposite side of angle QSR is QR and Hypotenuse is the side opposite angle QRS which is SQ. Therefore,

\sin(\angle QSR)=\dfrac{QR}{SQ}\\\\\\\sin(30)=\dfrac{5}{10}\\\\\\\sin(30)=\dfrac{5}{2\times 5}=\dfrac{1}{2}

Therefore, the value of sine of 30° is one-half. So, second option is correct.

6 0
3 years ago
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kenny6666 [7]

Answer:

B. 8 times the difference of a number <em>z</em> and 6

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Translate (z - 6)

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- = difference

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(z - 6) = The difference between a number <em>z</em> and 6

Step 2: Translate 8(z - 6)

(z - 6) = The difference between a number <em>z</em> and 6

Since we are distributing the 8, we are multiplying.

8 times the difference of a number <em>z</em> and 6

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3 years ago
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