MATHEMATICS HIGH SCHOOL

1) Alicia's gross monthly pay is $1,700.Alicia pays 5.7% of her monthly salary for
Social Security. How much does Alicia
pay?
A $0.96
C $96.90
B $9.69
D $969.90

Answers

Answer 1
Answer:

Answer:

96.90

Step-by-step explanation:

1700x.0570=96.90

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Hi can someone help me ty happy holiday days

Answers

Answer:

128 ,  512,  2048

Step-by-step explanation:

2. Given XYZ, if XY =YZ, and Y = 22,
find Z.

Answers

Answer:

79

Step-by-step explanation:

Sum of Triangle angles is 180

180 - 22 = 158

If the sides are the equal, the base angles are equal.

So, divide 158 by 2

79

The length of a swimming pool is 8m longer than its width and the area is 105m2

Answers

width : w \n length : \ l = w + 8 \n A = 105 \ m^2 \n \nA= w \cdot l \n \nw(w+l)=105 \n \nw^2+w = 105 \n \nw^2+w-105 =0 \n \n(w+15)(w-7)=0 \n \nw+15 =0 \ \ or \ \ w-7 = 0 \n \nw = -15 \ \ or \ \ w=7 \n \n width \ cant \ be \ negative, \ so \n \n w = 7 \ and \ l = w+8 = 7 +8 =15 \n \nchek : \n \n A=w\cdot l \n \nA=7\cdot 15=105 \ m^2
l\ \rightarrow\ the\ length\nw\ \rightarrow\ the\ width \n\nl=w+8\ \ \ and\ \ \ l\cdot w=105\ \ \ and\ \ \ l>0,\ w>0\n\n(w+8)\cdot w=105\ \ \ \Rightarrow\ \ \ w^2+8w=105\n\n w^2+2\cdot4w+4^2=105+4^2\n\n (w+4)^2=105+16\ \ \ \Rightarrow\ \ \ (w+4)^2=121\n\nw+4=11\ \ \ or\ \ \ w+4=-11\n\nw=7\ \ \ \ \ \ \ \ \ \ or\ \ \ w=-15<0\n\nw=7\ \ \ \Rightarrow\ \ \ l=7+8=15\n\nAns.\ the\ length\ is\ 15\ m\ \ and\ \ the\ width\ is\ 7\ m.

a container was 1/2 filled with water. When 200 ml of water was poured out, it became 1/3 full. Find the capacity of the container in milliliters.

Answers

x=whole capacity
(x/2)=original amount
orginal amount-200=x/3
so
(x/2)-200=x/3
subtract x/2 from both sides
-200=(x/3)-(x/2)
make denomenators same
x/3 times 2/2=2x/6
x/2 tiimes 3/3=3x/6
now we have
-200=2x/6-3x/6
-200=-x/6
multiply both sides by 6
-1200=-x
multiply -1
1200=x

capacity is 1200 ml

What is 5-1???????????????????????????????

Answers

Answer : 4


I hope that's help !
Oh i know this, its 4!!

A park is in the shape of a rectangle 2 miles long and 1.5 miles wide. How much shorter if you walk diaganolly across the park rather than along two sides?

Answers

You can answer this by using Pythagoras theorem. Okay, let me draw this first.

            2 miles
               V
________________________
|                                        |
|                                        |
|                                        |   << 1.5 miles
|_______________________|  

^ Assume this is the rectangle. The long side is 2 miles while the shorter side is 1.5 miles.

So, to get the shortest distance, let's cut out a triangle from the rectangle. 

                                                         /|
                                                       /  |
                                                     /    |
What we want to find is this one >  /      |  << 2 miles
                                                  /        |
                                                /______|
                                                   ^ 1.5 miles (I know the size is not logical,but imagine                                                                       it please)

So to get the diagonal length = \sqrt{{a^(2) }+ b^(2)}
                                          =  \sqrt{{2^(2) }+ 1.5^(2)}
                                          =  2.5 miles

To calculate how much shorter = ( 2 miles + 1.5 miles) - 2.5 miles
                                             = 3.5 miles - 2.5 miles
                                             = 1.0 miles

Hope this help !

Answer:

idk

Step-by-step explanation:
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