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ollegr [7]
3 years ago
8

30 cos(30x) + 14 = -16

Mathematics
1 answer:
Veseljchak [2.6K]3 years ago
5 0

Answer:

x = 30/π, in general case x=30/π +2πn

Step-by-step explanation:

30 cos(30x) + 14 = -16

30 cos(30x)  = -16 - 14

30 cos(30x)  = -30

cos(30x)= - 1

30x = π

x = 30/π, in general case x=30/π +2πn

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Identify any zeros of y=x^2+4x+5.
Jet001 [13]

A there are no real zeros

using the discriminant b² - 4ac  to determine the nature of the zeros

for y = x² + 4x + 5 ( with a = 1, b = 4 and c = 5 )

• If b² - 4ac > 0 there are 2 real and distinct zeros

• If b² - 4ac = 0 there is a real and equal zero

• If b² - 4ac < 0 there are no real zeros

b² - 4ac = 16 - 20 = - 4

Since discriminant < 0 there are no real zeros



3 0
3 years ago
An ordinary Fair die is a cube with the numbers 1 through 6 on the sides represented by painted spots imagine that such a die is
Hoochie [10]

Answer:  Probability of,  Event A = 5/18

Event B = 1/2

Step-by-step explanation:

Since, The probability of an event = Number of outcomes of the event/ total number of outcomes.

Since, If a fair dire rolled two times then the total number of outcomes, n(S) = 6 × 6 = 36

And, Event A: The sum is greater than 8.

So, possible outcomes are, ( 3,6), (4,5), (4,6), (5,5), (5,6), (5,4), (6,6), (6,5), (6,4), (6,3)

Thus, n(A) = 10

Since, Probability of event A,

P(A) = n(A)/n(S) = 10/36 = 5/18

Therefore, P(A)= 5/18

Now, Event B: The sum is an even number.

So, possible outcomes are, (1,1),(1,3), (1,5), (2,2), (2,4), (2,6), (3,1), (3,3), (3,5), (4,6), (4,2), (4,4), (5,1), (5,3), (5,5), (6,2), (6,4), (6,6)

Thus, n(B)= 18

Since, Probability of event B,

P(B)= n(B)/n(S) = 18/36 = 1/2

Therefore, P(B)= 1/2


7 0
3 years ago
Use 3.14 for r. Round your answers to
galben [10]

Answer:

I think its A........ I don't really know.

Step-by-step explanation:

5 x 2 = 10

3.14 x 10 = 31.4

3 0
3 years ago
Chelsey put for $450 into an account with a simple interest rate of 2.5% when she withdrew the money she had earned a total of $
fgiga [73]

Answer:

5.66 years

Step-by-step explanation:

450 x 1.025^(n) = 450 + 67.50

450 x 1.025^(n) = 517.50

1.025^(n) =(517.50 / 450)

1.025^(n) = 1.15

n = ln(1.15) / ln(1.025)

n = 5.66

6 0
3 years ago
Triangle DEF is an isosceles, so DEF = DFE.
Katarina [22]

Answer:

m∠CFD=105\°

Step-by-step explanation:

we know that

m∠CFD+m∠DFE=180\° ------> by supplementary angles

we have

that

m∠DFE=m∠DEF=75\°

so

m∠CFD+75\°=180\°

m∠CFD=180\°-75\°=105\°

8 0
4 years ago
Read 2 more answers
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