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Kryger [21]
2 years ago
7

how much greater is the supplement of a 35-degree angle than the measure of the complement of a 35-degree angle?

Mathematics
1 answer:
andrew11 [14]2 years ago
3 0
Sup. < of 35 degree < = 145 degree <
comp. < of 35 degree < = 20 degree <
145-20=125 degrees

the answer is:
125 degrees larger
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Factor completely: 3a4y3 − 12a3y2 + 6a2y
enyata [817]
3a^2y(a^2y^2 - 4ay + 2)
8 0
3 years ago
How much of an alloy with 30% copper must be added to 25 pounds of a second alloy that is 20% copper to create a 27% alloy? 33.8
yuradex [85]

Answer:

58.33 lbs.

Step-by-step explanation:

There are already 25 lbs of alloy of copper

Of this 25 lbs, 20% is pure i.e. copper content = 25(0.5) = 5lbs.

Now available is

Copper      Other metals

5 lbs                20 lbs

Let x lb of 30% copper is added.

Then new alloy will have 5+0.3x lb copper in total of 25+x lbs

Percentage pure = \frac{5+0.3x}{25+x} =27%

Simplify to get

\frac{5+0.3x}{25+x} =\frac{27}{100} \\\\Cross multiply:\\27(25+x) =100(5+0.3x)\\500+30x =675 +27x\\3x = 175\\x = 175/3 = 58.33 lbs

Hence answer is 58.33 lbs should be added.



8 0
2 years ago
Read 2 more answers
La altura de una portería de futbol reglamentaria es de 2.4m y la distancia desde el punto de penalti hasta la raya de gol es de
mihalych1998 [28]

Answer:

11.06 meters

Step-by-step explanation:

Given that

The height of a regulation soccer goal is 2.4 meters

And, the distance is 10.8 meters

We need to find out the hypothesis

Here we applied the pythagoreans theorem

So,

= √ (2.4m) ^2 + (10.8 m) ^2

= √5.76 m^2 + 116.64m^2

h = 11.06 m

Hence, the hypothesis is 11.05 meters

3 0
2 years ago
Solve for x:
777dan777 [17]

Answer:


Step-by-step explanation:

x^2+120=0 can be rewritten as x^2 = - 120.  Taking the square root of both sides, we get x = plus or minus i*√120 = plus or minus i*√4√30, or

x = plus or minus i*2√30

So the correct answer choice here is "None of the above."

6 0
3 years ago
How to solve for shaded area
tamaranim1 [39]

Answer:

(a)  12.96 ft²

(b)  21.5 in²

Step-by-step explanation:

(a) For the first diagram

Area of the shaded region (A) = Area of Tripezium- area of circle

A = [1/2(a+b)h]-[πr²]............... Equation 1

Where a and b are the parallel side of the tripezium respectively, h = height of the tripezium, r = radius of the circle.

From the diagram,

Given: a = 15 ft, b = 6 ft, h = 12 ft, r = h/2 = 12/2 = 6 ft.

Constant: π = 3.14

Substitute these values into equation 1

A = [12(15+6)/2]-(3.14×6²)

A = 126-113.04

A = 12.96 ft²

(b) For the second diagram,

Area of the shaded region (A') = Area of square- area of circle

A' = (L²)-(πr²)............. Equation 2

Where L = lenght of one side of the square, r = radius of the circle

From the diagram,

Given: L = 2r = (2×5) = 10 in, r = 5 in

Substitute these values into equation 2

A' = (10²)-(3.14×5²)

A' = 100-78.5

A = 21.5 in²

5 0
2 years ago
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