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Helen [10]
3 years ago
10

Pilar wanted to use a estimation to solve a decimal addition problem. She correctly used estimation to rewrite the problem as 12

+ 3 + 5 + 6. What could her original problem have been
Mathematics
1 answer:
Maksim231197 [3]3 years ago
5 0

After estimation of decimals problem is written as

=12+3+5+6

There are infinite ways of writing the original problem, i am writing few ways

1. 12.10 +2.95+5.05+6.06----Rounding tenth and Hundreth to nearest ones that is a whole number.

2. 12.25+3.05+4.75+6.42----Rounding tenth and Hundreth to nearest ones that is a whole number.

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A sub sandwich is 2.5 feet long and cut into 0.25foot pieces how many pieces are there in total?
SpyIntel [72]

Answer:

10 pieces

Step-by-step explanation:

divide the total length by length of each pieces

2.5/0.25

8 0
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A square has:<br><br> 3 lines of symmetry<br><br> 4 lines of symmetry<br><br> 2 lines of symmetry
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Answer:

Step-by-step explanation:

4 lines of symmetry

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 PLEASE HELP ILL GIVE BRAINLIESTTTT :)
Andru [333]

Angle P is 50 degrees

OP is 17cm

They are similar quadrilaterals so their corresponding parts are congruent.

5 0
2 years ago
Find an equation of the sphere containing all surface points P = (x, y, z) such that the distance from P to A(−3, 6, 3) is "twic
Marina86 [1]

Answer:

Equation of Sphere =  x^{2} + y^{2} + z^{2} - 18x - 4/3y +10z + 142/3 = 0

Step-by-step explanation:

Data Given:

P = (x,y,z)

Distance from P to A (-3,6,3) = Twice the distance from P to B(6,2,-3)

Solution:

Find the equation of the sphere:

It is given that:

PA = 2PB

Squaring both sides:

(PA)^{2} = (2PB)^{2}

(PA)^{2} = 4 (PB)^{2}

(x - (-3))^{2} + (y - 6)^{2} + (z-3)^{2} = 4 x (x-6)^{2} + (y-2)^{2} + (z-(-3))^{2}

Solving the above equation:

(x + 3))^{2} + (y - 6)^{2} + (z-3)^{2} = 4 x {(x-6)^{2} + (y-2)^{2} + (z + 3))^{2}}

x^{2} + 9 + 6x + y^{2} + 36 - 12y + z^{2} + 9 - 6z = 4 { x^{2} + 36 - 12x + y^{2} + 4 - 4y + z^{2} + 9 + 6z}

x^{2} + 9 + 6x + y^{2} + 36 - 12y + z^{2} + 9 - 6z = 4x^{2} + 144 - 48x +4y^{2} + 16 - 16y + 4z^{2} + 36 + 24z

Putting the right hand side = 0 and solving the equation:

x^{2} - 4x^{2} + y^{2} - 4y^{2} + z^{2} - 4z^{2} + 6x + 48x - 12y +16y -6z - 24z + 9 + 36 + 9 -144 - 16 - 36 = 0

-3x^{2} - 3y^{2}  -3z^{2}  + 54x + 4y -30z -142  = 0

Taking (-) common

- ( 3x^{2} + 3y^{2} + 3z^{2}  - 54x - 4y +30z + 142) = 0

3x^{2} + 3y^{2} + 3z^{2}  - 54x - 4y +30z + 142 = 0

dividing the whole equation by 3

x^{2} + y^{2} + z^{2} - 54/3x - 4/3y +30/3z + 142/3 = 0

x^{2} + y^{2} + z^{2} - 54/3x - 4/3y +30/3z + 142/3 = 0

x^{2} + y^{2} + z^{2} - 18x - 4/3y +10z + 142/3 = 0

7 0
3 years ago
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