1.) What figures are formed inside the hexagon?
2.) Does this construction suggest another way to construct a hexagon?

The total area covered by the yard by the 3 sprinkler heads such that each covers a circular area with no overlap is 5892.857 ft².

The area of a circle is the area covered by the circle with radius r. It is given by the formula,

[tex]\text{Area of circle} = \pi r^2[/tex]

As it is given that the area covered by a single sprinkler system is of the radius of 25 feet, therefore, the area covered by a singular sprinkler system can be written as,

Area of sprinkler = Area of a circle with radius 25 feet

 [tex]\begin{aligned}\text{Area of sprinkler}&= \pi r^2\\&=\pi (25^2)\\&= 1964.2857 \approx 1964.286\rm\ ft^2\end{aligned}[/tex]

Now, as we know that the yard has three such sprinkler systems, therefore, the area covered by the sprinkler will be thrice the area covered by a single sprinkler,

The total area covered by the sprinkler = 3 x Area of sprinkler

                                                                   = 3 x 1964.286

                                                                   = 5892.857

Thus, the total area covered by the yard by the 3 sprinkler heads such that each covers a circular area with no overlap is 5892.857 ft².

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The total time taken for round trip will be  (f+g)(x) = 14x+11

We have given that

f(x)=4x+13and g(x)=10x-2

In order to find the round-trip time, we have to add both functions to represent the time taken to travel east and the time taken to travel to west.

Therefore we get,

[tex](f+g)(x)=f(x)+g(x)\\ =(4x+13)(10x-3)\\ =4x+13+10x-2\\ =4x+10x+13-2\\ =14x+11[/tex]

Hence,The total time taken for round trip will be: (f+g)(x) = 14x+11

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Answer:

8.5g

Step-by-step explanation:

Answer:

You can use a measuring cup to estimate how many ounces of cheese you have.

Step-by-step explanation:

For soft or crumbly cheeses, 1 cup is equivalent to 6 ounces. For semi-hard cheeses like cheddar, 1 cup is equivalent to 4 ounces.

Answer:

2203

Step-by-step explanation:

product of 68 and 32

= 32× 68

= 2176

adding 27

=2176 + 27

= 2203

Answer:

(68 x 32) + 27

2203

Step-by-step explanation:

(68 x 32) + 27

2176 + 27

2203

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Answer:

0.00108754758 If 4/3678 and 919.5 if 3678/4

Step-by-step explanation:

Answer:

Answer: 2/1839

Step-by-step explanation:

4 ÷ 3678 = 0.00108754758 or 2/1839

Answer:

looks like a 54 degree angle

Step-by-step explanation:

Answer:

[tex]-2z+2[/tex]

Step-by-step explanation:

Start by taking the terms out of the parentheses:

[tex]-3z-(-z-2)[/tex]

[tex]-3z-(-z)-(-2)[/tex]

Please note that two negatives make a positive:

[tex]-3z+z+2[/tex]

Combine like terms:

[tex]-2z+2[/tex]

Answer:

70%

Step-by-step explanation:

the key word is not. it says there is a 30 percent chance of it being 70. the question asks what is the percent that it is - not - 70. the equation will be 100 - 30 = 70

Answer:

about 5

Step-by-step explanation:

One 12 fl oz bottle of 7.7% beer ≈ 1.5 standard drinks

1.5 fl oz vodka ≈ 1 standard drink

Therefore,

Two 12 fl oz bottle of 7.7% beer ≈ 3 standard drinks

3 fl oz vodka ≈ 2 standard drinks

So, 2 bottles of beer and 3 fl oz of vodka ≈ 3 + 2 = 5

Answer: The area of the rectangle is 91cm

Answer:

91cm²

Step-by-step explanation:

area of rectangle = width × length

13 × 7 = 91cm²

The complete paragraph proof is explained below.

Two or more given angles are said to be supplementary when on adding there individual measure, it produce the sum of angles on a straight line i.e. 180^o.

To complete the paragraph proof, we have;

m<1 + m< = 180^o (definition of supplementary angles)

m<2 - m<3 = m<2 - m<1

m<1 + m<2 = m<2 + m<3  (by the addition property of supplementary angles)

subtract m<2 from each side,

m<1 + m<2 - m<2 = m<2 + m<3 - m<2

you will get;

m<1 = m<3

Therefore, m<1 ≅ m<3

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The area of the rectangle is the length times the width.

Now let's convert all these fractions into improper fractions to make it easier to multiply

  [tex]4\frac{3}{4} =\frac{19}{4} \\1\frac{1}{6} =\frac{7}{6}[/tex]

Now let's multiply them for the area = [tex]\frac{19}{4} *\frac{7}{6} =\frac{133}{24} =5\frac{13}{24}[/tex] square feet.

Hope that helped!

Answer:

$133.20

Step-by-step explanation:

Since the amount of hours she worked isn't a whole number, we can first separate 18 and 1/2 and work the problem out one at a time.

1. Multiply 7.20 by 18 to get 129.60

2. Multiply 0.50 by 7.20 to get 3.60.

3. Add 129.60 and 3.60 together to get the answer, 133.20.

Answer:20years

Step-by-step explanation:

Answer:

○ [tex]\displaystyle 25[/tex]

Step-by-step explanation:

[tex]\displaystyle 4 = 2\sqrt{25} - 6 \\ 4 = 2[5] - 6 \\ \\ 4 = 10 - 6[/tex]

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Answer:

9 + 10 = 19 product is 9 x 10 = 90 9^2 + 10^2 = 181

Answer:

2

Step-by-step explanation:

The image has all the steps. Remember PEMDAS

Step-by-step explanation:

straight angle a + 117 = 180

a = 180 - 117

= 63

total angle in triangle = 180

63 + b + 81 = 180

b = 180 - 63 - 81

= 36

Answer:

b = 36°

Step-by-step explanation:

the exterior angle of a triangle is equal to the sum of the 2 opposite interior angles.

117° is an exterior angle of the triangle , then

b + 81° = 117° ( subtract 81° from both sides )

b = 36°

Solving

Alright so we know there are two sticks and that one is 10cm longer than the other. Knowing this information we can start off by dividing the total to make the sticks equal in length.

80cm ÷ 2 = 40cm

^ So currently each stick is 40cm

From here we have to make one stick 10cm longer so we would subtract 10cm from one and add that 10cm to the other one.

Stick 1:  40cm - 10cm = 30cm
Stick 2: 40cm + 10cm = 50cm


Answer

This means that the longest stick is 50cm in length

The length of the longest stick is 45cm.

An equation contains one or more terms with variables connected by an equal sign.

Example:

2x + 4y = 9 is an equation.

2x = 8 is an equation.

We have,

Let's call the length of the shorter stick "x".

According to the problem, the longer stick is 10cm longer than the shorter stick, so its length is x + 10.

Now we know that when the two sticks are put end to end, the total length is 80cm.

Therefore, we can write the equation:

x + (x + 10) = 80

Simplifying the equation, we get:

2x + 10 = 80

Subtracting 10 from both sides:

2x = 70

Dividing both sides by 2:

x = 35

The length of the shorter stick is 35cm, and the length of the longer stick is:

x + 10 = 35 + 10 = 45

Therefore,

The length of the longest stick is 45cm.

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Answer:

∠SDA, ∠ADS

Step-by-step explanation:

15% was spent on props, rest on equipment 100 - 15 = 85% on equipment

.85 * 640 = $544 spent on equipment

Answer:

$544

Step-by-step explanation:

15% of 640

-----------------------

0.15 x 640

--------------

640 - 96

= 544

The equation of parabola it becomes will be x²= 4py.The y-axis passes through (0, -a), and the directrix of the parabola x² = 4ay has the equation y + a = 0

A parabola is a curve in which all points are at the same distance from two fixed points: the focus and a fixed straight line (the directrix ).

The given expression in the problem is;

[tex]x^2 +y^2-2py +p^2= y^2+2py+p^2[/tex]

On simplifying the gIven expression we get;

[tex]x^2- 2py = 2py \\\\ x^2= 2py+2py \\\\x^2=4py[/tex]

The y-axis passes through (0, -a), and the directrix of the parabola x²= 4ay has the equation y + a = 0. The y-axis passes through (0, a), and the center of the parabola x2 = -4ay has the equation y - a = 0.

Hence the equation of parabola it becomes will be x²= 4py

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Let's factorise it :

[tex]\: {\qquad \dashrightarrow \sf ( 10 - y ) ( 10 + y) }[/tex]

[tex]\: {\qquad \dashrightarrow \sf 10(10 + y) + [ - y(10 + y)] }[/tex]

Using distributive property we get :

[tex]\: {\qquad \dashrightarrow \sf {10}^{2} + 10y+ (- 10y - {y}^{2} ) }[/tex]

[tex]\: {\qquad \dashrightarrow \sf {10}^{2} \: \cancel { + 10y }\: \: \cancel{ - 10y } - {y}^{2} }[/tex]

[tex]\: {\qquad \dashrightarrow \sf 100 - {y}^{2} }[/tex]

Therefore,

[tex] {{{\qquad \dashrightarrow \sf ( 10 - y ) ( 10 + y) = 100 - {y}^{2}}}}[/tex]

Answer:

C Slope = -4/3, Y-Intercept = 4
Step-by-step explanation:

The Y- Intercept is where the line contacts the Y-Axis (the vertical line)
Since the line is going down, the slope is going to be negative. You fine the slope by finding a point the line goes through perfectly and then since its negative, go down however many it is until the line goes through another point perfectly, then go right and how many points it takes to get to the point is your denominator. (so your slope is -4/3)

Answer:

Ride a rollercoaster and Zendaya

Step-by-step explanation:

Coefficients are the number in front of the variable and constants are just plain old whole numbers. Terms are separated by signs.

Have a good one! Hope this answer helps you!

Step-by-step explanation:

Nun much take "w"outside from dis equation

w²-5w= w(w-5)

Answer:

It's the third option . it's the right ans .

pls mark my ans as brainliest.

Answer:

Option C.

Step-by-step explanation:

Let us begin by redrawing the quadrilaterals so that the congruent sides and angles become more obvious in the attachment:

From the diagrams, we have the congruent angles to be:

∠F, ∠K, ∠S

∠ I, ∠L, ∠T

∠G, ∠N, ∠R

∠H, ∠M, ∠Q

We can conclude that the correct option is:

∠M and ∠Q