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3 years ago

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An individual head of sprinkling water system covers a circular area of grass with a radius of 25 ft the yard has three sprinkle

r heads the each cover a circular area with no overlap. What is the approximate total area that will be watered

1 answer:

Greeley [361]3 years ago

6 0

Answer:

Answer will be 5890 square feet. Step-by-step explanation: An individual head of a sprinkler system covers a circular area of grass with a radius of 25 feet. Now 3A = 3×π×625 feet²= 3×3.14×625 = 5887.5 ≈ 5890 square feet.

Step-by-step explanation:

Mark brainiest, thx

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xxMikexx [17]

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3 years ago

One positive number is 9 more than twice another. If their product is 95, find the numbers.

mafiozo [28]

Answer:

The numbers are 19 and 5

Step-by-step explanation:

Given

Let the numbers be $x\ and\ y.$

So:

$x = 9 + 2y$ --- First statement

$x*y = 95$ --- second statement

Required

Find x and y

Substitute $x = 9 + 2y$ in $x*y = 95$

$(9 + 2y) * y = 95$

$9y + 2y^2 = 95$

Rewrite as:

$2y^2 + 9y - 95 = 0$

Expand

$2y^2 -10y +19y- 95 = 0$

Factorize

$2y(y -5) +19(y- 5) = 0$

$(2y +19)(y- 5) = 0$

Solve for y

$2y + 19 =0$ or $y - 5 = 0$

$2y = -19$ or $y = 5$

$y = -\frac{19}{2}$ or $y=5$

Since the numbers are positive, we take only:

$y=5$

Substitute $y=5$ in $x = 9 + 2y$

$x = 9 + 2 * 5$

$x = 9 + 10$

$x = 19$

<em>The numbers are 19 and 5</em>

5 0

3 years ago

Solve for b.<br> 2/3+5=20-b

xenn [34]

The answer is B=14 1/3

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2 years ago

Determine the principal value of the function: Arc sin(square root of 3/2)

Drupady [299]

Answer:

π/3

Step-by-step explanation:

We have to find the principal value of $\text{arc sin}(\frac{\sqrt{3}}{2} )$

arc sin means sin inverse. The sin inverse is a one to one function with its range between $-\frac{\pi}{2} \textrm{ to } \frac{\pi}{2}$

The principal value of the arc sin will lie within the above given range.

value of sin (60) or sin( $\frac{\pi}{3}$ ) is $\frac{\sqrt{3}}{2}$ .

$\frac{\pi}{3}$ lies between $-\frac{\pi}{2}\textrm{ and } \frac{\pi}{2}$

So, from here we can say that the Principal Value of Arc sin(square root of 3/2) is π/3

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3 years ago

The diagram shows a regular dodecagon.Work out the size of one interior angle

nikdorinn [45]

Answer:

150°

Step-by-step explanation:

number of terms=12

sum of exterior angles=360

one exterior angle=360/12=30

interior angle=180-30=150°

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3 years ago