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loris [4]
3 years ago
7

Evaluate sec 240Á without using a calculator by using ratios in a reference triangle.

Mathematics
2 answers:
s344n2d4d5 [400]3 years ago
6 0
Sec∅ = 1/cos∅
= 1/cos(240)
= 1/cos(180 + 60)
= 1/-cos(60)
= 1/(-1/2)
= -2
balandron [24]3 years ago
6 0
<span>60=pi/3
cos 60 = 0.5
</span><span>sec 240 = 1/ cos 240
 cos 240 = cos (180+60)
cos (180+x) = -cos x
</span><span>cos (180+x) = -cos x
so
cos 240 = -cos 60
              = -0.5
</span><span> sec 240 =1/ cos 240
              = 1/(-0.5)
              = -2</span>
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lord [1]
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Given that (a,b) is (-8,-3) and r=2 units
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5 0
4 years ago
Can you guy's help me quick!
nadya68 [22]

Answer:

480,700 sets (first choice)

Step-by-step explanation:

If all 25 questions are different,

When order of selection counts:

P(25,7)

= 25!/(25-7)!

= 15511210043330985984000000/6402373705728000

= 2422728000

When order of selection does not count count:

C(25,7)

=25!/(7!*(25-7)!)

=15511210043330985984000000/(6402373705728000*5040)

= 480,700

Hope this helps, have a nice day.

6 0
3 years ago
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Jet001 [13]

Answer:

answer is (d) 4/3

Step-by-step explanation:

-x+3/7=2x-25/7

25/7+3/7=2x+x

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7 0
3 years ago
Sophie pays m dollars to rent a car for the weekend on the drive home she buys $45 worth of gasoline her friend melody pays for
Hoochie [10]

Complete Question

Sophie pays m dollars to rent a car for the weekend. On the drive home, she buys $45 worth of gasoline. Her friend Melody pays for one-half the cost of the car rental only. Write an expression you could use to determine how much Sophie spent.

Answer:

1/2m + 45

Step-by-step explanation:

We are told in the question that:

On the drive home, she buys $45 worth of gasoline.

Her friend Melody pays for one-half the cost of the car rental only.

Sophie pays m dollars to rent a car for the weekend.

The amount sophie pays for car rental = m - 1/2m

= 1/2m

Therefore, the expression used to determine how much sophie spent is written as:

1/2 × $m + $45

1/2m + 45

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3 years ago
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