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Yakvenalex [24]
3 years ago
11

The sides of a square field are 12 meters.A sprinkler in the center of the field sprays a circular are with a diameter that corr

esponds to a side of the field.How much of the field is NOT reached by the sprinkler?
Mathematics
1 answer:
Olin [163]3 years ago
7 0

Answer:

Step-by-step explanation:

The formula for determining the area of a square is expressed as

Area = L²

Where

L represents length of each side of the square.

The side of the square is field us 12 meters long. Therefore

Area of the square field = 12² = 144ft²

The formula for determining the area of a circle is expressed as

Area = πr²

Where

r represents radius if the circle.

π is a constant whose value is 3.14

Diameter of the circular area covered by the sprinkler is 12 meters.

Radius = 12/2 = 6 meters.

Area of the field covered by the sprinkler would be

Area = 3.14 × 6² = 113.04ft²

Therefore, the area of the field that is NOT reached by the sprinkler would be

144 - 113.04 = 30.96ft²

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The sears tower in chicago is 1450 feet high. A model of the tower is 24 inches tall. What is the ratio of the height of the mod
Dominik [7]

Answer:

\frac{1}{725}

The sear tower is 725 times higher than the sears tower model

Step-by-step explanation:

we know that

The ratio of the height of the model to the height of the actual sears tower is equal to the scale factor

Let

z------> the scale factor

x-------> the height of the model

y-------> the height of the actual

so

z=\frac{x}{y}

we have

x=24\ in

y=1,450\ ft

substitute

z=\frac{24}{1,450}\frac{in}{ft}

simplify

z=\frac{12}{725}\frac{in}{ft}

Remember that

1\ ft=12\ in

so

\frac{12}{725}\frac{in}{ft}=\frac{1}{725}\frac{ft}{ft}

8 0
3 years ago
Read 2 more answers
If you bought a stock last year for a price of $67, and it has risen 12% since then, how much is the stock worth now, to the nea
lisabon 2012 [21]

Answer:$75.04

Step-by-step explanation:

last year price=$67

12% of 67

12/100 x 67

(12 x 67) ➗ 100

804 ➗ 100=8.04

Since it has risen by 12%

There new price is 67+8.04=75.04

4 0
3 years ago
Can anyone answer this?<br> x+1&lt;5
Sliva [168]
X + 1 < 5
x < 5 - 1
x < 4

u basically solve it like equations except for one important rule....with inequalities, when u multiply/divide by a negative number, the inequality sign changes directions. But we didn't have to deal with that rule in this particular problem
5 0
3 years ago
Write in point-slope form the equation of the line that is parallel to the given line and passes through the given point.Your fi
SOVA2 [1]

Answer:

y = x

Step-by-step explanation:

The given equation is

y = x + 5

The slope of this line

m = 1

Since all parallel lines have the same slope, the slope of our line is also m=1.

We now use the point-slope formula

y-y_1=m(x-x_1)

Since the line passes through (-1,-1)

We gave

x_1=-1,y_1=-1

We substitute the slope and point to get

y -  - 1 = 1(x -  - 1)

y + 1 = x + 1

y = x

6 0
3 years ago
Answer choices:<br>A (3 , -4)<br>B (4 , -7/2)<br>C (-5 , 8)<br>D (5/2 , -17/4)​
zhuklara [117]

Answer: D (5/2, -17/4)

Step-by-step explanation:  Using elimination your goal is to get rid or 1 variable  so you can solve for the one that's left.  By adding the -2y and 2y you will get 0.  You will also add the 3x+x (4x) and -1+11 (10).  You have now gotten rid of the y and have 4x=10.  By dividing each side by 4 we now know x =2.5.  D is the only possible solution with x=2.5 (5/2) but to solve for y you plug 2.5 in to an equation as x so) x-2y=11

                                                                           2.5-2y=11

                                                                            -2y=8.5                                                                        Answer D (5/2,-17/4)                                      y=-17/4 (4.25)

4 0
2 years ago
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