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3 years ago

The value of a is -3

Mathematics

2 answers:

tangare [24]3 years ago

7 0

1.2222222222222222222222222222222222222222 repeating

Tasya [4]3 years ago

6 0

- 4-5(-3) / 9
- 4+15 / 9
- 19/9 (or) -2.11111111111......

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A sprinkler sprays water in a circular area up to 30 feet. A radius reduction screw lets people reduce the radius by up to 25%.

tankabanditka [31]

Answer: $1590.63\ ft^2$

Step-by-step explanation:

Given

The sprinkler can water the area up to $30\ ft$ i.e. $30\ ft$ is the radius

If the screw leads to a reduction of 25% in radius, then the new radius is

$r'=(1-0.25)r\\r'=0.75r\\r'=22.5\ ft$

So, the area corresponding to this radius

$\Rightarrow \pi (22.5)^2\\\Rightarrow 1590.63\ ft^2$

Thus, the maximum area that can be covered is $1590.63\ ft^2$

5 0

3 years ago

Solve the following equation; domain 0< x < 360; 3 cot x + sqrt 3 = 0

kondaur [170]

ANSWER

$x =120 \degree \: or \: 300 \degree$

EXPLANATION

We want to solve the trigonometric equation

$3 \cot(x) + \sqrt{3} = 0$

We group like terms to obtain,

$3\cot(x) = - \sqrt{3}$

Divide both sides of the equation by 3 to get,

$\cot(x) = - \frac{ \sqrt{3} }{3}$

We can reciprocate both sides to get,

$\tan(x) = - \frac{3}{ \sqrt{3} }$

We simplify the right hand side to get,

$\tan(x) = - \sqrt{3}$

Since the tangent ratio is negative, it implies that it is either in the second quadrant or fourth quadrant.

In the second quadrant,

$x = 180 \degree - arctan( \sqrt{3})$

$x = 180 \degree - 60 \degree = 120 \degree$

In the fourth quadrant,

$x = 360 \degree - arctan( \sqrt{3})$

$x = 360 \degree - 60 \degree$

$x = 300 \degree$

6 0

4 years ago

jan's coffee shop is donating $300 plus $0.75 for every large coffee ordered in the next two weeks. Create an equation to model

Pavel [41]

Answer:

300+0.75x=y

Step-by-step explanation:

x(the number of large coffes ordered)

y(the total donation)

5 0

2 years ago

Read 2 more answers

Finding the size of angle x on a straight line. 2 of the angles are 29 degree and 82 degrees

Arte-miy333 [17]

Answer:

x = 111°

Step-by-step explanation:

We know that angles in a triangle add up to 180°

Step 1: Find angle supplementary to <em>x</em>

82 + 29 + x = 180

111 + x = 180

x = 69°

Step 2: Find angle <em>x</em>

Both the angles are supplementary, meaning they add up to 180°.

x + 69 = 180

x = 111°

4 0

4 years ago

You have 126 pieces of chocolate candy and 60 pieces of jolly ranchers to put into gift bags. You want identical groups of candy

madreJ [45]

Answer:

Six gift bags

Step-by-step explanation:

60/6 = 10 (limiting factor).

126/6 = 21

3 0

3 years ago