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3 years ago

If X || Y and Y || Z, then _____ A) A || B B) X || Z C) X⊥A D) A⊥Z

Mathematics

1 answer:

iris [78.8K]3 years ago

5 0

Answer:

B) X || Z

Step-by-step explanation:

Hope it helps you in your learning process.

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7. A model rocket is launched from a roof into a large field. The path of the rocket can be modeled by the

svp [43]

Answer: 475.59 meters .

Step-by-step explanation:

The correct equation is the following:

$y =-0 .02x^2 +9.5x + 5.6$

For this exercise you need to use the Quadratic formula:

$x = \frac{-b\±\sqrt{b^2-4ac}}{2a}$

In this case you can identify that the values of "a", "b" and "c" are:

$a=-0.02\\\\b=9.5\\\\c=5.6$

Now you must substitute these values into the Quadratic formula and then evaluate. You get:

$x=\frac{-9.5\±\sqrt{(9.5)^2-4(-0.02)(5.6)}}{2(-0.02)}\\\\x_1=475.588\\x_2=-0.588$

Choose the positive one and round it to the nearest hundreth:

$x_1\approx 475.59$

4 0

2 years ago

You are looking at the New York ball drop on New Year’s Eve at a distance of 100 m away from the base of the structure. If the b

Fofino [41]

The question is an illustration of related rates.

The rate of change between you and the ball is 0.01 rad per second

I added an attachment to illustrate the given parameters.

The representations on the attachment are:

$\mathbf{x = 100\ m}$

$\mathbf{\frac{dy}{dt} = 2\ ms^{-1}}$ ---- the rate

$\mathbf{\theta = \frac{\pi}{4}}$

First, we calculate the vertical distance (y) using tangent ratio

$\mathbf{\tan(\theta) = \frac{y}{x}}$

Substitute 100 for x

$\mathbf{y = 100\tan(\theta) }$

$\mathbf{\tan(\theta) = \frac{y}{100}}$

Differentiate both sides with respect to time (t)

$\mathbf{ \sec^2(\theta) \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot \frac{dy}{dt}}$

Substitute values for the rates and $\mathbf{\theta }$

$\mathbf{ \sec^2(\pi/4) \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot 2}$

This gives

$\mathbf{ (\sqrt 2)^2 \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot 2}$

$\mathbf{ 2 \cdot \frac{d\theta}{dt} = \frac{1}{100} \cdot 2}$

Divide both sides by 2

$\mathbf{ \frac{d\theta}{dt} = \frac{1}{100} }$

$\mathbf{ \frac{d\theta}{dt} = 0.01 }$

Hence, the rate of change between you and the ball is 0.01 rad per second

Read more about related rates at:

brainly.com/question/16981791

8 0

2 years ago

What is the answer I’m not sure I’m right

trasher [3.6K]

Answer:

x=0

Step-by-step explanation:

If you combine like terms it is x^2 +6x -27=-27

x^2 +6x =0

x^2=0

x=0

3 0

3 years ago

Please i need this answer in two minutes

Travka [436]

Answer: $55,489.20

Step-by-step explanation:

Given the following information :

Base salary = $10.20 per hour

Overtime pay = $10.20 * 1.5 = $15.3

Average sale per hour = $60

Tips = 20% of sale

Regular shift hour = 8hours

Work week:

3 10-hour shift = 24hrs regular (6 hrs overtime)

1 11 - hour shift = 8hrs regular (3 hrs overtime)

1 5 - hour shift = 5 hours

Total hours per week = 37hrs regular, 9hrs overtime

WEEKLY :

Income from tips = $60 * 46 * 0.2 = $552

Regular pay: 37 * 10.20 = $377.40

Overtime: 9 * $15.30 = $137.70

Total = $(137.70 + 377.40 + 552) = $1067.10

Number of weeks in a year = 52

Annual gross = $1067.10 * 52 = $55,489.20

7 0

3 years ago

Please Help!! Find the Polynomial!!

grin007 [14]

Answer:

$\pi x^2-8\pi x+16\pi$

Step-by-step explanation:

To find the area of the inner circle, we need to find its radius. Here, we can write the radius as 4 - x. Now, we can use the formula $A=\pi r^2$ :

A = $\pi$ * $(4-x)^2$

We can expand the square:

A = $\pi *(16-8x+x^2)=\pi x^2-8\pi x+16\pi$

Thus, the polynomial is $\pi x^2-8\pi x+16\pi$ .

Hope this helps!

7 0

2 years ago

Read 2 more answers