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3 years ago

How do you find sin20°cos40°+cos20°sin40°

Mathematics

1 answer:

Tems11 [23]3 years ago

3 0

That's of course the sum angle formula for sine

sin(a+b) = sin a cos b + cos a sin b

We have a=20° b=40°

sin 20° cos 40° + cos 20° sin 40°

= sin(20°+40°)

= sin(60°)

= √3/2

Answer: √3/2

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The population of a rabbit colony triples each month.

djverab [1.8K]

Answer:

3645 rabbits after 6 months.

Step-by-step explanation:

The population of a rabbit colony triples each month.

This means that the population of the colony after t months is given by:

$P(t) = P(0)(3)^t$

In which P(0) is the initial population.

The population started with 5 rabbits.

This means that $P(0) = 5$

$P(t) = 5(3)^t$

How many rabbits are there after 6 months?

This is P(6). So

$P(6) = 5(3)^6 = 3645$

3645 rabbits after 6 months.

3 0

3 years ago

Please help me I need help today thank you and please show work

scoundrel [369]

17) $x-8=11$

18) $9-x=5$

19) $x+6=7$

20) $x+(-4)=-18$

Step-by-step explanation:

17) The difference between a number and 8 is 11

Let number = x

then the equation will be:

$x-8=11$

Solving:

$x-8=11$

$x=11+8\\x=19$

18) Nine less than a number is five.

Let number = x

then the equation will be:

$9-x=5$

Solving:

$9-x=5\\-x=5-9\\-x=-4\\x=4$

19) Seven is equal to a number plus 6

Let number = x

then the equation will be:

$x+6=7$

Solving:

$x+6=7\\x=7-6\\x=1$

20) The sum of a number and -4 is -18

Let number = x

then the equation will be:

$x+(-4)=-18$

solving:

$x+(-4)=-18\\x-4=-18\\x=-18+4\\x=-14$

Keywords: Algebraic Expressions

Learn more about Algebraic Expressions at:

#learnwithBrainly

5 0

4 years ago

Donnell and Maria are both members of a populationand a simple random sample is being conducted. If the chance of Donnell being

harina [27]

Answer:

289/290

Step-by-step explanation:

Given that the chance of Donnell being selected is 1/290

then P( Donnell being selected )= 1/290

Since Donnell and Maria are both member of a population.

from probability theorem which gives the likely hood of an event to happen which cannot be more than 1, then the probability of Donnell and Maria to be selected is 1

P(Donnell and Maria)= 1

But the chance of Donnell being selected is 1/290

Then,

1/290 + P(Maria)= 1

P(Maria)= 1-(1/290)

= 289/290

the chance of Maria being selected is 289/290

4 0

3 years ago

Help me plzz please please

Snowcat [4.5K]

Answer:

132 square feet

Step-by-step explanation:

a+b/2*h

20+24/2*6=132

4 0

3 years ago

Bob is having a cookout. He bought 6 gallons of seltzer water. How many full 1-pint servings of seltzer can he pour?

sergejj [24]

Answer:

48 pints

Step-by-step explanation:

3 0

3 years ago

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