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stiks02 [169]
3 years ago
11

Find the value of k

Mathematics
1 answer:
Readme [11.4K]3 years ago
6 0

Answer:

12

Step-by-step explanation:

A straight line is equal to 180. The line AB is 180 degrees. This means 174 + angle = 180 for the angle between point D and B. It must be 6 degrees. This is the same angle as the angle between point A and C.

Line CD is also straight and equal to 180. On the line are the angles, 4k + 90 + 3k + 6 = 180. Solve for k by combining like terms and then using inverse oeprations.

4k + 90 + 3k + 6 = 180

7k + 96 = 180

7k = 84

k = 12

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If 0 < b ≤ 90 and cos(11b + 2) = sin(12b − 4), what is the value of b?
Elza [17]

Answer:

b = 4

Step-by-step explanation:

The given expression is

Cos (11b + 2) = Sin (12b - 4)

Since, Sin(θ) = Cos(90 - θ)

Therefore, Cos (11b + 2) = Cos [90 - (12b - 4)]

Where 0 < b ≤ 90°

11b + 2 = 90 - (12b - 4)

11b + 2 = 94 - 12b

11b + 12b + 2 = 94 - 12b + 12b

11b + 12b + 2 - 2 = 94 - 2

23b = 92

\frac{23b}{23}=\frac{92}{23}

b = 4

Therefore, b = 4 will be the answer.

7 0
3 years ago
Read 2 more answers
2×(5+2)÷2 what is the answer
vlada-n [284]
The answer is 7, your welcome if this helped!

8 0
3 years ago
Read 2 more answers
Chelsey wants to join a fitness club. The fitness club charges an initial membership fee of $55 and a monthly fee of 19.50. she
Naddik [55]

Answer:

Chelsey can be a member of the fitness club for <u>10</u> months.

Step-by-step explanation:

Given:

Chelsey wants to join a fitness club.

The fitness club charges an initial membership fee of $55 and a monthly fee of $19.50.

She has $250 to spend on a membership at the fitness club.

Now, to find the number of months Chelsey can be a member of the fitness club.

Let the number of months Chelsey can be a member of the fitness club be x.

Monthly fee = $19.50.

Membership fee = $55.

Now, to get the number of months Chelsey can be a member of the fitness club we write and solve an equation:

55+19.50(x)=250.

55+19.50\times x=250\\\\55+19.50x=250

<em>Subtracting both sides by 55 we get:</em>

19.50x=195

<em>Dividing both sides by 19.50 we get:</em>

x=10.

Therefore, Chelsey can be a member of the fitness club for 10 months.

5 0
3 years ago
A bag contains 6 red balls numbered 1, 2, 4, 5, 8, 9 and 4 white balls numbered 3, 6, 7, 10,
geniusboy [140]

Answer:

60%

a. 80%

b. 70%

Step-by-step explanation:

In this case we are first asked for the probability that when drawing a ball at random it is 8, 9 and 4 white balls numbered 3, 6, 7, 10, that is 6 balls. We know that there are a total of 10 balls since they are 6 red and 4 white, 6 + 4 = 10.

Therefore the probability is:

6/10 = 0.6

that is to say that the probability that it is one of these balls is 60%

to. that is red or odd,

red are 1, 2, 4, 5, 8, 9 and in addition to that, in white there is one with 3 and with 7 that are odd, making them 8 balls, therefore:

8/10 = 0.8

In other words, the probability is 80%

b. white or even,

the white ones are 3, 6, 7, 10 and in the red ones the 2, 4 and 8 are even, that is to say that they are 7 balls, which means that:

the probability is:

7/10 = 0.7

The probability is 70%

6 0
3 years ago
Nvm no one helped me, answer is 17/25 -.-
geniusboy [140]
The answer is 17/25. Hope this helps! :) I know how you feel! 
3 0
3 years ago
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