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Rama09 [41]
1 year ago
6

The terminal side of an angle intersects the unit circle at point

Mathematics
1 answer:
julia-pushkina [17]1 year ago
5 0

Answer:

-  \frac{ \sqrt{2} }{2}

Step-by-step explanation:

The sine of an angle is equal to the y coordinate point where the terminal side of the angle intersects the unit circle.

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catering company uses a linear function to determine the total cost of parties. The following table shows the costs for dinner p
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Answer:

It would be $870 because you have to add 315+555=870

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3 years ago
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If 1200 cm2 of material is available to make a box with a square base and an open top, find the largest possible volume of the b
Colt1911 [192]

Answer:

The largest possible volume V is ;

V = l^2 × h

V = 20^2 × 10 = 4000cm^3

Step-by-step explanation:

Given

Volume of a box = length × breadth × height= l×b×h

In this case the box have a square base. i.e l=b

Volume V = l^2 × h

The surface area of a square box

S = 2(lb+lh+bh)

S = 2(l^2 + lh + lh) since l=b

S = 2(l^2 + 2lh)

Given that the box is open top.

S = l^2 + 4lh

And Surface Area of the box is 1200cm^2

1200 = l^2 + 4lh ....1

Making h the subject of formula

h = (1200 - l^2)/4l .....2

Volume is given as

V = l^2 × h

V = l^2 ×(1200 - l^2)/4l

V = (1200l - l^3)/4

the maximum point is at dV/dl = 0

dV/dl = (1200 - 3l^2)/4

dV/dl = (1200 - 3l^2)/4 = 0

3l^2= 1200

l^2 = 1200/3 = 400

l = √400

I = 20cm

Since,

h = (1200 - l^2)/4l

h = (1200 - 20^2)/4×20

h = (800)/80

h = 10cm

The largest possible volume V is ;

V = l^2 × h

V = 20^2 × 10 = 4000cm^3

4 0
3 years ago
Which ordered pair is a solution of the equation? −7x+3y=2
lana66690 [7]
Answer:

(-2/7, 2/3)

step-by-step explanation:
-7x + 3y = 2
x = 0
-7(0) + 3y = 2
3y = 2
/3 /3
y = 2/3
y = 0
-7x + 3(0) = 2
-7x = 2
/-7 /-7
x = -2/7
(-2/7, 2/3)
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3 years ago
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(20 points)
vladimir1956 [14]

Answer:

B

Step-by-step explanation:

Slope is the same(x) therefore they are parallel

3 0
3 years ago
Solve the equation the square root of the quantity x minus 6 plus 2 equals 6 for the variable.
Andrej [43]
X-6+2=6
X=2
2-6=4
4+2=6
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3 years ago
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