All categories

2 years ago

Give the final simplified result.

Mathematics

1 answer:

grin007 [14]2 years ago

3 0

Answer:

-8 a

Step-by-step explanation:

i simplified -3 a (70+3a) wich came out to negative eight A

You might be interested in

The number of students at maritas school decreased to 98 percent of last years number. Currently, there are 1,170 students. How

Salsk061 [2.6K]

1055 students were in the school last year

8 0

3 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

26•26^8 i’m not sure how to solve this

alexira [117]

Answer:

26^9

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

PLS HELP QUICK! <br> LINKS WILL BE REPORTED....

Semenov [28]

I think it’s dababy I’m not sure

8 0

2 years ago

Mattie Evans drove 350 miles in the same amount of time that it took a turbo propeller plane to travel 1200 miles. The speed of

frosja888 [35]

The speed of the plane will be equal to 240 Mph.

<h3>What is speed?</h3>

Speed is defined as the ratio of the time distance travelled by the body to the time taken by the body to cover the distance.

Given that:-

Mattie Evans drove 350 miles in the same amount of time that it took a turbo propeller plane to travel 1200 miles.

The speed of the plane was 170 mph faster than the speed of the car.

The speed of the plane will be calculated as:-

Let the speed of the car will be x mph so the speed of the plane will be

(x + 170)

Now time for the plane:-

Tp = Dp / Sp

Tp = 1200 / (x+170)

Now time for the car:-

Tc = Dc / Sc

Tc = 350 / x

It is given that time taken by both the plane and the car are equal:-

Tp = Tc

1200 / x+170 = 350 / x

1200x = 350x + 59500

850x = 59500

x = 59500 / 850

x = 70mph

The speed of the plane will be calculated By:-

Sp = x + 170 = 70 + 170 = 240 Mph

Therefore the speed of the plane will be equal to 240 Mph.

To know more about Speed follow

brainly.com/question/6504879

#SPJ1

4 0

2 years ago