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asambeis [7]
3 years ago
8

kysen have $0, but he owes his friend $10 for a game. his other friend, James, bought a $6 lunch for him, and kysen said he woul

d pay him back. how much money does kysen have?
Mathematics
2 answers:
olya-2409 [2.1K]3 years ago
6 0

Answer:

A $9

Step-by-step explanation:

Paraphin [41]3 years ago
5 0

Answer:

He does not have any money but owes 16 dollars in total

Step-by-step explanation:

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Find the exact value of cos(a+b) if cos a=-1/3 and cos b=-1/4 if the terminal side if a lies in quadrant 3 and the terminal side
maria [59]

Answer:

cos(a + b) = \frac{1}{12}(1-2\sqrt{30})

Step-by-step explanation:

cos(a + b) = cos(a).cos(b) - sin(a).sin(b) [Identity]

cos(a) = -\frac{1}{3}

cos(b) = -\frac{1}{4}

Since, terminal side of angle 'a' lies in quadrant 3, sine of angle 'a' will be negative.

sin(a) = -\sqrt{1-(-\frac{1}{3})^2} [Since, sin(a) = \sqrt{(1-\text{cos}^2a)}]

         = -\sqrt{\frac{8}{9}}

         = -\frac{2\sqrt{2}}{3}

Similarly, terminal side of angle 'b' lies in quadrant 2, sine of angle 'b' will be  negative.

sin(b) = -\sqrt{1-(-\frac{1}{4})^2}

         = -\sqrt{\frac{15}{16}}

         = -\frac{\sqrt{15}}{4}

By substituting these values in the identity,

cos(a + b) = (-\frac{1}{3})(-\frac{1}{4})-(-\frac{2\sqrt{2}}{3})(-\frac{\sqrt{15}}{4})

                = \frac{1}{12}-\frac{\sqrt{120}}{12}

                = \frac{1}{12}(1-\sqrt{120})

                = \frac{1}{12}(1-2\sqrt{30})

Therefore, cos(a + b) = \frac{1}{12}(1-2\sqrt{30})

5 0
3 years ago
Find the area of the shaded regions. Give your answer as a completely simplified exact value in terms of pi (no approximations)
Kisachek [45]

Answer:

40π in^2

Step-by-step explanation:

360°/72°=5

so, each of the two shaded regions are 1/5 of the circle.

the formula for finding the area of a circle is πr^2, so:

area for one of the shaded regions:

1/5πr^2

1/5π(10)^2

1/5π100

20π in^2

this means that the area for one of the shaded regions is 20π. however, since there are two of them:

2(20π)=40π

so, the area of the shaded regions is 40πin^2

5 0
3 years ago
Quick I need help!
kkurt [141]
Im not too sure but i would say 27
5 0
3 years ago
Read 2 more answers
What values of x make the equation x^2 - 18x + 81 = 0 true?
serg [7]
Answer: X=9

x^2 −2(x) (9)+9^2 =0

(X-9)^2=0

X-9=0

X=9
3 0
2 years ago
A circle of centre M has a radius of 11CM . if CA=16.3cm ,what is AB ? give your answer to the nearest tenth!​
zhenek [66]

Answer:

16.4

Step-by-step explanation:

If it is asking for the tenth it will be the 1st one after the point and you round it to the next one.

6 0
3 years ago
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