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3 years ago

What is the 20th term in the following arithmatic sequence 1/2, 1, 3/2, 2...

1 answer:

4 0

The 20th term in the following arithmetic sequence1/2, 1, 3/2, 2... is 10 because;

the number are divided by 2
and the 20th number would be 20/2 which is equal to 10

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Gertrude has a life insurance policy that will pay her family $97,000 per year if

schepotkina [342]

Answer:

90000 srry if im wrong

Step-by-step explanation:

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2 years ago

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Zina [86]

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3 years ago

Prove that:<br><br>cos20°cos40°cos80°=1/8

Naya [18.7K]

Answer:

see explanation

Step-by-step explanation:

Using the double angle identity for sine

sin2x = 2sinxcosx

Consider left side

cos20°cos40°cos80°

= $\frac{1}{2sin20}$ (2sin20°cos20°)cos40°cos80°

= $\frac{1}{4sin20}$ (2sin40°cos40°)cos80°

= $\frac{1}{4sin20}$ (sin80°cos80° )

= $\frac{1}{8sin20}$ (2sin80°cos80° )

= $\frac{1}{8sin20}$ . sin160°

= $\frac{1}{8sin20}$ . sin(180 - 20)°

= $\frac{1}{8sin20}$ . sin20°

= $\frac{1}{8}$ = right side , thus proven

7 0

2 years ago

Read 2 more answers

(Ross, 4.78) A jar contains 4 white and 4 black marbles. We randomly choose 4 marbles. If 2 of them are white and 2 are black, w

KATRIN_1 [288]

Answer:

Step-by-step explanation:

Given

Jar contains 4 white and 4 black marbles

We randomly select 4 marbles out of which 2 are white and 2 are black

Probability that 2 white and 2 black marbles are selected is

$P=\frac{^4C_2\times ^4C_2}{^8C_4}$

$P=\frac{18}{35}$

The process is continue for n trails until we choose the correct order

i.e. we have to fail in n-1 trails

For exact n selection Probability is given by

$Req.\ Probability=Probability\ of\ failure\ in\ (n-1)\ trials\times Probability\ of\ getting\ exact\ order$

$=\left ( 1-\frac{18}{35}\right )^{n-1}\times \frac{18}{35}$

8 0

3 years ago

Solve the right triangle, ΔABC, for all the missing side and angles to the nearest tenth given sides a = 10.6 and b = 19.2.

Aliun [14]

Answer:

Part 1) $c=21.9\ units$

Part 2) $B=61.1\°$

Part 3) $A=28.9\°$

Part 4) $C=90\°$

Step-by-step explanation:

step 1

Find the length side c

Applying the Pythagoras Theorem

$c^{2}=a^{2}+b^{2}$

substitute the given values

$c^{2}=10.6^{2}+19.2^{2}$

$c^{2}=481$

$c=21.9\ units$

step 2

Fin the measure of angle B

we know that

In the right triangle

$tan(B)=b/a$

substitute the given values

$tan(B)=19.2/10.6$

$B=arctan(19.2/10.6)=61.1\°$

step 3

Find the measure of angle A

we know that

The measure of interior angles in a triangle must be equal to 180 degrees

∠A+∠B+∠C=180°

Remember that in a right triangle the measure of angle C is 90 degrees

we have

$B=61.1\°$

$C=90\°$

substitute

$A+61.1\°+90\°=180\°$

$A=28.9\°$

4 0

3 years ago