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Ronch [10]
2 years ago
6

What fraction is equivalent to. —- 0.45?

Mathematics
2 answers:
liberstina [14]2 years ago
5 0

Answer:

E. 9/20

Step-by-step explanation:

0.45= 45/100

45/100 divided by 5 is 9/20

ella [17]2 years ago
3 0

Answer:

E. 9/20

Step-by-step explanation:

0.45=45/100=9/20

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Can someone explain (with steps) how to rationalize the following expression?
insens350 [35]
F(x)=(-2/((x+y-2)^(1/2))-(x+y+2)^(1/2)
the only irrational part of this expression is the (x+y-2)^(1/2) in the denominator, so, to rationalize this, you multiply the numerator and denominator by the denominator, as well as the other parts of the expression
also, you must multiply the -sqrt(x+y+2) by sqrt(x+y-2)/sqrt(x+y-2) to form a common denominator
(-2)/(x+y-2)^(1/2)-(x+y+2)^(1/2)(x+y-2)^(1/2)/(x+y-2)^(1/2)
(common denominator)
(-2-(x^2+xy+2x+xy+y^2+2y-2x-2y-4))/(x+y-2)^(1/2)
(FOIL)
(-2-x^2-y^2-2xy+4)/(x+y-2)^(1/2)
(Distribute negative)
(-x^2-y^2-2xy+2)/(x+y-2)^(1/2)
(Simplify numerator)
(-x^2-y^2-2xy+2)(x+y-2)^(1/2)/(x+y-2)^(1/2)(x+y-2)^(1/2)
(Rationalize denominator by multiplying both top and bottom by sqrt)
(-x^2-y^2-2xy+2)((x+y-2)^(1/2))/(x+y-2)
(The function is now rational)
=(-x^2-y^2-2xy+2)(sqrt(x+y-2))/(x+y-2)
6 0
3 years ago
I need help on this
Ipatiy [6.2K]

Draw a vertical line at the number 4 on your x axis positive side which is x=4

Then anything on the left of this line you just created at x=4 will be less than 4.  But since your inequality is x  less than/equal to 4 it includes 4 as well.

5 0
2 years ago
96 quarts =how many gallons
Mrrafil [7]

Answer:

24 gallons

Step-by-step explanation:

4 quarts in a gallon. 96/4 = 24

I hope this helps!

6 0
2 years ago
Read 2 more answers
PLEASE HELP. Please show all work. Im giving 80 points to whoever answers it first.
mr_godi [17]

Answer:

1.1) B=12.42°, C=146.58°, c=15.37  

1.2) B=8°, C=124°, c=35.7  

2) In the case of SSA, when the given angle A is acute (<90°), the side "a" (opposite to the given angle "A") is less than the other given side "b" (a<b), and a > b sinA.  

3.1) Perimeter = 31.37 units, Area = 16.5 square units  

3.2) Perimeter = 73.70 units, Area = 75.6 square units  

4.1) Magnitude of vector AB=5.1

4.2) Direction of vector AB=348.69°  

5.1) The dot product of two vectors is equal to the sum of the product of their components

5.2) a . b = 10  

6.1) Trigonometric form: z = 3√2 (cos 315°+ i sin 315°)  

6.2) The 4th roots are:  

w1 = 18^(1/8) [cos(78.75°) + i sin(78.75°)]

w2 = 18^(1/8) [cos(168.75°) + i sin(168.75°)]

w3 = 18^(1/8) [cos(258.75°) + i sin(258.75°)]

w4 = 18^(1/8) [cos(348.75°) + i sin(348.75°)]


Step-by-step explanation:

3.1) Perimeter: P = a+b+c → P = 10+6+15.37 → P = 31.37  

Area: A = a b sinC / 2

Replacing the known values:

A = (10)(6) sin 146.58325418° / 2 → A = 60(0.55072472) / 2 →

A = 16.52174152 → A = 16.52 square units


3.2) Perimeter: P = a+b+c → P = 32+6+35.70 → P=73.70

Area: A = a b sin C /2

Replacing the known values:

A = (32)(6) sin 123.99036327° / 2 → A = 192(0.82913161) / 2 →

A = 75.59663485 → A = 75.6 square units

3 0
2 years ago
If Z, Y, and A are the midpoints of triangle VWX, what is true about AY and XV
Darya [45]
They are parallel to each other. and ay is half the length of xv

4 0
2 years ago
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