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nikdorinn [45]
2 years ago
13

Hey there! I know this is prob really simple and I am beginning to understand it, but my problem is

Mathematics
1 answer:
gulaghasi [49]2 years ago
8 0

Answer:

sec(60) = 2

Step-by-step explanation:

sec(theta) = 1/cos(theta)

theta = 60o

cos(60) = 1/2 = 0.5

sec(theta) = 1/0.5 = 2

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Describe and correct the error in finding the solution.​
yaroslaw [1]
The error is in step 2. if you are performing an operation on one side of the equation, it must be performed on the entire expression. you can’t only divide by 2 on one term, you must do it to everything in the equation. instead, you could add 6 to both sides first, giving you 2x = -4. Then you can divide by 2 on both sides. the answer is -2.
6 0
3 years ago
There are 21 female performers in a dance recital. The ratio of men to women is 4:7. How many men are in the dance recital?
pantera1 [17]

Answer:

12

Step-by-step explanation:

let x be the number of men

4:7 = x:21

4/7 = x/21

7x = 84

x = 12

6 0
3 years ago
I need help urgent plz someone help me solved this problem! Can someone plz help I’m giving you 10 points! I need help plz help
VMariaS [17]

Answer: a) 8.779 years

               b) 8.664 years

<u>Step-by-step explanation:</u>

a)

A=P\bigg(1+\dfrac{r}{n}\bigg)^{nt}

  • A: accumulated amount (balance)
  • P: principal amount (original/initial investment)
  • r: interest rate (convert to a decimal)
  • n: number of times compounded per year
  • t: number of years

Given: A = 1800, P = 900, r = 8% = 0.08, n = 3, t = unknown

1800=900\bigg(1+\dfrac{0.08}{3}\bigg)^{3t}\\\\\\2=\bigg(1+\dfrac{0.08}{3}\bigg)^{3t}\\\\\\ln\ 2=ln \bigg(1+\dfrac{0.08}{3}\bigg)^{3t}\\\\\\ln\ 2=3t\ ln\bigg(1+\dfrac{0.08}{3}\bigg)\\\\\\\dfrac{ln\ 2}{3\ ln\bigg(1+\dfrac{0.08}{3}\bigg)}=t\\\\\\\large\boxed{8.779=t}

b)  

A=Pe^{rt}

1800=900e^{0.08t}\\\\\\2=e^{0.08t}\\\\\\ln\ 2=0.08t\\\\\\\dfrac{ln\ 2}{0.08}=t\\\\\\\large\boxed{8.664=t}

4 0
2 years ago
Omar has 2 3/4 cup of Joe to make dumplings. If he uses 3/16 cup of Joe for each dumpling how many whole dumplings can Omar make
Fiesta28 [93]

Answer:

44/3 or 14 and 2/3

Step-by-step explanation:

First convert 2 and 3/4 in a improper fraction which gives you 11/4.

Next, you divide 11/4 and 3/16.

It will give you 44/3 which can be 14 and 2/3.

6 0
3 years ago
4. Identify the conclusion of the following conditional: A number is divisible by 3 if the sum of the digits of the number is di
statuscvo [17]
X/3+x/3 that is the form of it i think
4 0
3 years ago
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