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VashaNatasha [74]

3 years ago

13

How to do? Question #6

1 answer:

aksik [14]3 years ago

7 0

<u>STEP 1 </u>

Since AB = CD , M is the midpoint of AB , and L is the midpoint of CD

then OM = OL

2x - 3 = x + 5 → x = 8

OM = 2x - 3 → OM = 2(8) - 3 → OM = 16 - 3 → OM = 13

<u>STEP 2</u>

Since AB = 60 and M is the midpoint of AB

then MB = 30

<u>STEP 3</u>

Draw a line from O to B to create triangle OMB. Notice that OM is perpendicular so M is a 90° angle, so the Pythagorean Theorem can be used.

OM² + MB² = OB²

13² + 30² = OB² <em>substituted from steps 1 and 2</em>

169 + 900 = OB²

1069 = OB²

32.7 = OB

Realize that OB is the radius.

Answer: 32.7

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A rocket is launched from a tower. The height of the rocket, y in feet, is related to the time after launch, x in seconds, by th

olchik [2.2K]

Answer:

14.52 seconds.

Step-by-step explanation:

We have been given that the height of the rocket, y in feet, is related to the time after launch, x in seconds, by the given equation $y=-16x^2+224x+121$ . We are asked to find the time, when the rocket will hit the ground.

We know that the rocket will hit the ground, when height will be 0. So to find the time when rocket will hit the ground, we will substitute $y=0$ in our given equation as:

$0=-16x^2+224x+121$

Let us solve for x using quadratic formula.

$x=\frac{-b\pm\sqrt{b^2-4ac}}{2a}$

$x=\frac{-224\pm\sqrt{224^2-4(-16)(121)}}{2(-16)}$

$x=\frac{-224\pm\sqrt{50176+7744}}{-32}$

$x=\frac{-224\pm\sqrt{57920}}{-32}$

$x=\frac{-224\pm240.66574}{-32}$

$x=\frac{-224+240.66574}{-32}, x=\frac{-224-240.66574}{-32}$

$x=\frac{16.66574}{-32}, x=\frac{-464.66574}{-32}$

$x=-0.520804375, x=14.520804375$

Upon rounding to nearest 100th of second, we will get:

$x\approx -0.52, x\approx 14.52$

Since time cannot be negative, therefore, the rocket will hit the ground after 14.52 seconds.

6 0

3 years ago

Read 2 more answers

The Organic Cafe recently served 9 cinnamon rolls and 9 other pastries. Considering this data, how many of the next 14 pastries

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Answer

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Step-by-step explanation:

8 0

3 years ago

Zachary purchased a computer for 1100 on a payment plan. 4 months after he purchased the computer, his balance was $755. Five mo

NeTakaya

Answer:

Model is

b = 115m + 65

The slope represents the amount of balance offset per month

Step-by-step explanation:

Here, we want to model an equation.

The equation to model will be in the form;

y = mx + c

we have the following points to consider

The points are in the form;

(number of months, balance)

(m , b)

So the points we have are;

(4,755) and (5,640)

So the slope will be ;

(y2 -y1)/(x2-x1) = (755-640)/(5-4) = 115

So the equation will be;

b = am + c

where a is the slope and c is the y intercept

we already have the slope

so equation becomes;

b = 115m + c

let’s get the y-intercept

we can get the y-intercept by any of the points;

That would be; let’s use (5,640)

640 = 5(115) + c

640 = 575 + c

c = 640 -575

c = 65

So the equation of the model is;

b = 115m + 65

The slope represents the balance per month

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3 years ago

Solve the formula A = one-halfbh for h

garik1379 [7]

Answer:

$\frac{2A}{b} = h$

Step-by-step explanation:

We start with the equation $A = \frac{1}{2} bh$ . First, we multiply both sides by $2$ .

$2A = bh$

Next, we divide both sides by $b$ to get our answer:

$\frac{2A}{b} = h$

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2 years ago

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Answer:

4 different ways

Step-by-step explanation:

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2 years ago