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3 years ago

9

Diego is making a circular table. He is cutting the largest circle possible from a piece of square wood with sides 6 feet long.

What is the approximate area of the word left over after Diego cuts out the circle? Show your work. Use pi=3.14

1 answer:

Flauer [41]3 years ago

3 0

Area of wood = 6x6 = 36
area of circle = 3.14x9 = 28.26
left over = 36 - 28.26 = 7.74

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The temperature was -6°F at Rosewood that the temperature was 0°F what represents the change in temperature

vlabodo [156]

Answer:

+ 6°F

Step-by-step explanation:

Change is (Final - Initial) [Change is subtract old value from new value]

(0°F -(-6°F)) = +6°F

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3 years ago

Ryan is 23 years older than stacy. In 6 years he will be 2 times her age. how old is each person now?

Aloiza [94]

Answer:

Ryan 40

Stacy 17

Step-by-step explanation:

x -----> Stacy

x + 23 -----> Ryan

x + 6 Stacy

x + 23 + 6 Ryan

x + 29 Ryan

x + 29 = 2(x + 6)

x + 29 = 2x + 12

x - 2x = 12 - 29

-x = - 17

x = 17 Stacy

x + 23

17 + 23

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3 years ago

If the factory has available 270 tires, 90 frames, and 170 pedals, which item would limit the amount of complete tricycles that

Yuri [45]

Answer:

The pedals

Step-by-step explanation:

A tricycle requires 3 tires, 1 frame, and 2 pedals.

Divide all the amounts by the amounts needed for one tricycle.

270/3=90

90/1=90

170/2=85

The pedals can only be assembled onto 85 tricycles while everything else can be assembles into 90 tricycles.

7 0

3 years ago

Read 2 more answers

A quadratic function is a function of the form y=ax^2+bx+c where a, b, and c are constants. Given any 3 points in the plane, the

pochemuha

Answer:

The quadratic function whose graph contains these points is $y=-x^{2}-2x-2$

Step-by-step explanation:

We know that a quadratic function is a function of the form $y=ax^{2}+bx+c$ . The first step is use the 3 points given to write 3 equations to find the values of the constants <em>a</em>,<em>b</em>, and <em>c</em>.

Substitute the points (0,-2), (-5,-17), and (3,-17) into the general form of a quadratic function.

$-2=a*0^{2}+b*0+c\\c=-2$

$-17=a*-5^{2}+b*-5+c\\c=-25a+5b-17$

$-17=a*3^{2}+b*3+c\\ c=-9a-3b-17$

We can solve these system of equations by substitution

Substitute $c=-9a-3b-17$

$-9a-3b-17=25a+5b-17\\-9a-3b-17=-2$

Isolate a for the first equation

$-9a-3b-17=-25a+5b-17\\a=\frac{b}{2}$

Substitute $a=\frac{b}{2}$ into the second equation

$-9\left(-\frac{b}{2}\right)-3b-17=-2$

Find the value of b

$-9\left(-\frac{4b}{17}\right)-3b-17=-2\\ b=-2$

Find the value of a

$a=\frac{b}{2}\\ a=-1$

The solutions to the system of equations are:

b=-2,a=-1,c=-2

So the quadratic function whose graph contains these points is

$y=-x^{2}-2x-2$

As you can corroborate with the graph of this function.

8 0

4 years ago

A concert hall has three sections: the main floor, the balcony, and the gallery. For a recent concert, 1020 tickets were sold. T

Angelina_Jolie [31]

Answer:

Let the number of balcony seats be b

Let the number of gallery tickets be g

Let the number of main floor tickets be m

b + g + m = 1020

b = 2g

m = b + 225

The number of balcony tickets = 318

The number of gallery tickets = 159

The number of main floor tickets = 543

Step-by-step explanation:

Let the number of balcony seats be b

Let the number of gallery tickets be g

Let the number of main floor tickets be m

i) Therefore we can write b + g + m = 1020

ii) there were twice as many balcony tickets sold as gallery tickets

therefore b = 2g $\Rightarrow$ g = 0.5b

iii) there were 225 more main floor tickets than balcony tickets

therefore m = b + 225

iv) using equation ii) and equation iii) in equation i) we can write

b + g + m = b + 0.5b + b + 225 = 1020 $\Rightarrow$ 2.5b = 795 $\Rightarrow$ b = 318

v) g = 0.5 b = 0.5 $\times$ 318 = 159

vi) m = b + 225 = 318 + 225 = 543

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4 years ago

Read 2 more answers