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Korolek [52]
2 years ago
7

Jessie is completing a mental rotation experiment. her reaction time will be fastest when the objects are rotated: 120 degrees.

180 degrees. 240 degrees. 60 degrees.
Mathematics
1 answer:
MatroZZZ [7]2 years ago
8 0
<span>60 degrees it will take you longer to rotate this physical object by 180 degrees than to rotate it 90 degrees. your mental image should operate the same way the physical objects operate. then it will take you longer to rotate the mental image 180 degrees then rotate it 90 degrees. the dependent variable was reaction time not accuracy.</span>
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Solve for x in the equation ]x^{2} - 12x + 59 = 0
Vedmedyk [2.9K]

Step-by-step explanation:

x^{2} - 12x + 59 = 0

Given equaiton is in the form of ax^2 +bx+c=0

we apply quadratic formula to solve for x

x= \frac{-b+-\sqrt{b^2-4ac} }{2a}

a= 1  b = -12  and c= 59

x= \frac{12+-\sqrt{(-12)^2-4(1)(59)}}{2(1)}

x= \frac{12+-\sqrt{92}}{2}

x= \frac{12+-2\sqrt{23}}{2}

Divide the 12 and square root terms by 2

x=6+-\sqrt{23}

so x=6+\sqrt{23}    and    x=6-\sqrt{23}




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2 years ago
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A community hall is in the shape of a cuboid the hall is 40m long 15m high and 3m wide. 10 litre paint covers 25m squared costs
Darina [25.2K]

Answer:

Total cost for tiles and paints is $924.  

Step-by-step explanation:

We have been given that a community hall is in the shape of a cuboid. The hall is 40m long 15m high and 3m wide.

The paint will be required for 4 walls and ceiling.

Let us find area of walls and ceiling.

\text{Area of walls and ceiling}=(2*40*15)+(2*3*15)+(40*3)

\text{Area of walls and ceiling}=1200+90+120

\text{Area of walls and ceiling}=1410

Therefore, the area of walls and ceiling is 1410 square meters.

Given: Cost for 10 litre of paint is $10 and 10 litre paint covers 25 square meter. Therefore,  

\text{ The total painting cost}=10*(\frac{1410}{25})

\text{ The total painting cost}=10*56.4=564

Therefore, the total painting cost is $564.  

Tiles will be required for floor. Let us find the area of floor.

\text{Area of floor} = 40*3\text{ square meters}

\text{Area of floor} =120\text{ square meters}

Given: 1m squared floor tiles costs $3. So,  

\text{Total cost for tiles} = 3*120 = 360

Therefore, the total tiles cost is $360.

Now let us find combined total cost of tiles and paint.

\text{Combined total cost}= 564+360 = 924

Therefore, the combined total cost of tiles and paint is $924.

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2 years ago
Bailey likes the shape of her friend's pool, but she wants one that is half the volume. According to Cavalieri’s Principle, what
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Answer: I need a picture off the pool and measurements.

Step-by-step explanation: I need this in order to figure out the problem and give you a helpful answer.

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Answer:

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Step-by-step explanation:

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1 year ago
If LO = 15x+19 and QN = 10x+2 find PN
svet-max [94.6K]

Answer:

PN=64\ units

Step-by-step explanation:

<u><em>The complete question is</em></u>

Given the quadrilateral is a rectangle, if LO = 15x+19 and QN = 10x+2 find PN

see the attached figure to better understand the problem

we know that

The diagonals of a rectangle are congruent and bisect each other

so

QN=\frac{1}{2}LO

substitute the given values

10x+2=\frac{1}{2}(15x+19)

solve for x

20x+4=15x+19\\20x-15x=19-4\\5x=15\\x=3

Find the length of PN

Remember that

PN=LO ----> diagonals of rectangle are congruent

LO=15x+19

substitute the value of x

LO=15(3)+19=64\ units

therefore

PN=64\ units

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2 years ago
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