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tekilochka [14]
3 years ago
6

What is the exact value of cos 45° ?

Mathematics
2 answers:
kipiarov [429]3 years ago
5 0

Answer:

sqrt{2}/2

Step-by-step explanation:

Georgia [21]3 years ago
3 0
Let the two sides of a right triangle be equal to one, which means that the hypotenuse is √2

Since cosa=adjacent side / hypotenuse

cos45=1/√2

We can rationalize the denominator by multiplying numerator and denominator by √2

√(2)/2

or if you prefer:  √(1/2)
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A rectangular pool has dimensions of 40 ft. and 60 ft. The pool has a patio area around it that is the same width on all sides.I
ladessa [460]
Area of pool edge = Area of big rectangle - Area of the pool

Area of pool edge = Area of the pool = 40 × 60 = 2400 ft²

2400 = Area of big rectangle - 2400
Area of big rectangle = 2400 + 2400
Area of big rectangle = 4800

Length × width = 4800

From the diagram, we need the length to be [x + x] more than the length of the pool, where x is the distance from the pool edge to the patio edge.

We also need the width of the big rectangle to be [[x + x] more than the width of the pool.

Length = 60 + 2x
Width = 40 + 2x

Length × Width = [60+2x] × [40+2x]
4800 = 2400 + 120x + 80x + 4x²
0 = 4x² + 200x - 2400
0 = 4[x² + 50x - 600]
0 = x² + 50x - 600
0 = [x - 60] [x + 10]

x - 60 = 0 OR x + 10 = 0
x = 60 OR x = -10

We can only use the positive value of x since the context is length

Hence, x = 60


7 0
3 years ago
Read 2 more answers
The table compares x, the number of minutes of television Sam watched each day, to y, the number of minutes she spent exercising
Olegator [25]
The answer is 83minutes hope that helped
6 0
3 years ago
Read 2 more answers
Can Anyone Please HELP ME ITS DUE TOMORROW MORNING
almond37 [142]

Answer:

Step-by-step explanation:

1/8 = 1/9 + x ...multiply by LCD of 72

9 = 8 + 72x

9 - 8 = 72x

1 = 72x

1/72 = x

1/8 = 1/10 + x....multiply by 40

5 = 4 + 40x

5 - 4 = 40x

1 = 40x

1/40 = x

1/8 = 1/11 + x....multiply by 88

11 = 8 + 88x

11 - 8 = 88x

3 = 88x

3/88 = x

can all unit fractions be made in more then 1 way like this ?

not to sure because that last one....because it has been that a unit fraction is the outcome of adding together 2 unit fractions...but that last one...3/88 is not a unit fraction

4 0
3 years ago
Helppppppp meee pleaseee ill give brainliest
d1i1m1o1n [39]

Answer:

A

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Is (3,2) a solution of -8x-2y<6
BartSMP [9]

Answer:

yes

Step-by-step explanation:

-8x-2y<6

put in x and y and see if it is less than 6

-8(3) -2(2) <6

-24 -4 <6

-28 <6

yes

it is a solution

8 0
3 years ago
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