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3 years ago

Find sin(a+B)

Mathematics

1 answer:

diamong [38]3 years ago

6 0

Answer:

Cos A=5/13

we have

Cos² A= $1-Sin ²A$

25/169=1-Sin²A

sin²A=1-25/169

sin²A=144/169

Sin A= $\sqrt{144/169}=12/13$

again

Tan B=4/3

P/b=4/3

p=4

b=3

h= $\sqrt{3²+4²}=5$

Now

Sin B=p/h=4/5

in IV quadrant sin angle is negative so

Sin B=-4/5

CosB=b/h=3/5

Now

Sin(A+B):sinAcosB+CosAsinB

now 

substitute value

Sin(A+B):12/13*3/5+5/13*(-4/5)=36/65-4/13

=16/65 is a required answer

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Answer:

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So, the increase in distance is equal to 24.61%.

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3 years ago

you have a 20 ounce bottle of juice. you pour out 1/4 of the bottle to share with a friend. if your our out 3 ounces for yoursel

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12 ounces will be left in the bottle

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3 years ago

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ale4655 [162]

Answer:

160°

Step-by-step explanation:

The way I am doing it may not be the correct way but it works. What I did was take 90° away from 120° to make it 30° as if there is a line. I did this so I could make a triangle. Using the triangle addition postulate, I Added 30 to 80 to get 110 than subtracted that from 180 to get 70. Lastly, i added 90° to 70° to get 160°

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3 years ago

Solve for variable. 3p/5 + 8/5 =1

nordsb [41]

$\\ \sf\longmapsto \dfrac{3p}{5}+\dfrac{8}{5}=1$

$\\ \sf\longmapsto \dfrac{3p+8}{5}=1$

$\\ \sf\longmapsto 3p+8=5$

$\\ \sf\longmapsto 3p=5-8$

$\\ \sf\longmapsto 3p=-3$

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2 years ago

If a population of 200 squirrels has a 10 percent growth rate each year, how many individuals will there be in the population af

Anarel [89]

For this case we have a function of the form:
y = A * (b) ^ t
Where,
A: initial amount
b: growth rate
t: time
Substituting values we have:
y = 200 * (1.10) ^ (t)
For 3 years we have:
y = 200 * (1.10) ^ (3)
y = 266.2
Rounding off we have:
y = 266
Answer:
there will be 266 squirrels in the population after 3 years

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3 years ago