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3 years ago

Given that sin0=21/29 what is the value cos 0 for 0°< 0<90°

Mathematics

1 answer:

sp2606 [1]3 years ago

3 0

Answer:

20/29

Step-by-step explanation:

sin θ = 21/29

Use Pythagorean identity:

sin² θ + cos² θ = 1

(21/29)² + cos² θ = 1

441/841 + cos² θ = 1

cos² θ = 400/841

cos θ = ±20/29

Since 0° < θ < 90°, cos θ > 0. So cos θ = 20/29.

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Can someone help with these? 15 PTS

uranmaximum [27]

Answer: D/3f^2 = e

Step-by-step explanation:

D = 3ef^2

Divide by 3f^2 on both sides.

D/3f^2=e, the first option.

4 0

3 years ago

2/3 x - 4 equal negative 2

Fiesta28 [93]

Answer:

x = 3

Step-by-step explanation:

Given

$\frac{2}{3}$ x - 4 = - 2

Multiply through by 3 to clear the fraction

2x - 12 = - 6 ( add 12 to both sides )

2x = 6 ( divide both sides by 2 )

x = 3

5 0

3 years ago

If three prime numbers are randomly selected from the prime numbers less than 30 and no prime number can be chosen more than onc

Dmitry [639]

Answer:

C)30%

Step-by-step explanation:

Prime numbers less than 30 are given below

2,3,5,7,11,13,17,19,23,29

We have to find the probability that sum of three prime numbers selected will be even.

We know that

Sum of any three prime number except 2 will be odd.

Total prime numbers except 2=9

Total prime numbers=10

Probability:P(E)= $\frac{favorable\;cases}{total\;number\;of\;cases}$

Probability of getting sum of three prime numbers selected will be odd= $\frac{9C_3}{10C_3}$

$nC_r=\frac{n!}{r!(n-r)!}$

By using formula

Probability of getting sum of three prime numbers selected will be odd=P(E)= $\frac{\frac{9!}{3!6!}}{\frac{10!}{3!7!}}=\frac{9!}{3!6!}\times \frac{3!\times 7\times 6!}{10\times 9!}$

Probability of getting sum of three prime numbers selected will be odd=P(E)= $0.7$

Probability of getting sum of three prime numbers selected will be even=P(E')=1-0.7=0.3= $0.3\times 100=30$ %

By using formula P(E')=1-P(E)

3 0

3 years ago

5c+2(10−c) ????????<br><br> (x+8) - (X-8) ?????

Ghella [55]

Hi again!

$5c + 2(10-c)

Use the distributive property 

=5c+(2)(10)+(2)(-c)

=5c + 20 -2c 

= 3c + 20


--------------------------

(x+8)-(x-8)

x + 8 - x + 8 

= 16 


Best of luck!$

8 0

4 years ago

A principal of $835 is invested in an account at 4% per quarter simple interest which of the following sequences describes the d

netineya [11]

To solve the question we use the compound interest formula which is given by:
A=p(1+r)^(nt)
where:
A=future value
p=principle
r=rate
n=number of terms
t=time
thus plugging in the values in the formula we shall have:
A=835(1+0.04)^(4t)
simplifying this we get the sequence:
A=835(1.040)^(4t)
Thus the answer to the sequence will be:
A=835(1.040)^(4t)

7 0

3 years ago