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stiks02 [169]
2 years ago
13

A property has been assessed at $225 000. The mill rate is 14.5. To find the property tax, you would multiply the mill rate by:

*
a) 0.10
b) 0.001
c) 0.01
d) 0.0001
Mathematics
1 answer:
jarptica [38.1K]2 years ago
8 0
A would be the answer
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Find the area A of polygon CDEFGH with the given vertices. C(0,5), D(2,5), E(2,3), F(3,2), G(-1,2), H(0,3)
enot [183]

Answer:

<em>The area of the polygon CDEFGH is 7</em>

Step-by-step explanation:

<u>Area of a Polygon</u>

The area of a polygon is generally calculated as the sum of the smaller areas that form its full shape, give each partial area has a known shape, like a square, rectangle, triangle, circle, etc.

The six points given in the question are plotted in the image below. They form a polygon whose area can be divided into two smaller shapes:

The area CDHE is a square of length side 2. Area of a square:

A1=L^2

The area HEFG is a trapezoid with bases lengths 4 and 2,  and height 1. Area of a trapezoid:

\displaystyle A2=\frac{b1+b2}{2}h

Calculate both areas:

A1=2^2=4

\displaystyle A2=\frac{2+4}{2}\cdot 1=3

Total Area=4+3=7

The area of the polygon CDEFGH is 7

8 0
3 years ago
Find the total?<br><br>25% of what number is 15?____.
alexira [117]
Not sure but i think its 60 i hope its right
7 0
3 years ago
during a research experiment, it was found that the number of bacteria in a culture grew at a rate proportional to its size. At
BaLLatris [955]

Answer:

10,600

Step-by-step explanation:

The bacteria grew in 2 hours by 800. Divide that and that it by 400 per hour.

Since it is a proportional rate, we can assume that the rate continue through till midnight.

Since midnight is 12 hours after noon then the bacteria grow 400 (12)=4800.

We add this to the population at noon 5800+4800=10,600.

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
What is 29 divided by 11​
dezoksy [38]

Answer:

2.63

Step-by-step explanation:

29/11=2.63

4 0
3 years ago
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