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prohojiy [21]
3 years ago
6

65 people like cricket or tennis .40 of them like cricket while 30 like cricket only .How many like tennis only?How many like te

nnis?​
Mathematics
1 answer:
evablogger [386]3 years ago
8 0

Answer:

The overlap is 40 - 30 = 10 which means 10 people like both. 65 - 40 = 25 people like tennis only and 25 + 10 = 35 people like tennis.

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To solve the equation 5sin(2x)=3cosx, you should rewrite it as___.​
galina1969 [7]

Answer:

A

Step-by-step explanation:

We want to solve the equation:

5\sin(2x)=3\cos(x)

To do so, we can rewrite the equation.

Recall the double-angle for sine:

\sin(2x)=2\sin(x)\cos(x)

By substitution:

5\left(2\sin(x)\cos(x)\right)=3\cos(x)

Distribute:

10\sin(x)\cos(x)=3\cos(x)

We can subtract 3cos(x) from both sides:

10\sin(x)\cos(x)-3\cos(x)=0

And factor:

\cos(x)\left(10\sin(x)-3\right)=0

Hence, our answer is A.

*It is important to note that we should not divide both sides by cos(x) to acquire 10sin(x) = 3. This is because we need to find the values of x, and one or more may result in cos(x) = 0, and we cannot divide by 0. Hence, we should subtract and then factor.

5 0
3 years ago
Read 2 more answers
What is shift y = 5x 3 units up.
alukav5142 [94]
Y=5x+3. because your y axis is moved
8 0
3 years ago
87/100 in simplest form
Paladinen [302]

The fraction Is already in its simplest form :)


They do not have any common factors

6 0
3 years ago
Find the distance and midpoint of a segment with the following endpoints: (5,-1) and (-9,-1)
Likurg_2 [28]

Answer:

d = 14

(-2,-1)

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Distance Formula: d = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}
  • Midpoint Formula: (\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})

Step-by-step explanation:

<u>Step 1: Define</u>

(5, -1)

(-9, -1)

<u>Step 2: Find distance </u><em><u>d</u></em>

  1. Substitute:                    d = \sqrt{(-9-5)^2+(-1-(-1))^2}
  2. Simplify:                        d = \sqrt{(-9-5)^2+(-1+1)^2}
  3. Subtract/Add:               d = \sqrt{(-14)^2+(0)^2}
  4. Evaluate:                       d = \sqrt{196}
  5. Evaluate:                       d = \14

<u>Step 3: Find Midpoint</u>

  1. Substitute:                    (\frac{5-9}{2},\frac{-1-1}{2})
  2. Subtract:                       (\frac{-4}{2},\frac{-2}{2})
  3. Divide:                          (-2,-1)
7 0
3 years ago
Combine the like terms to create an equivalent expression<br> -k - ( - 8k)
Svetllana [295]

____________________________________________________

Answer:

7k

____________________________________________________

Step-by-step explanation:

We are trying to combine like terms with the expression: -k - ( - 8k)

We are pretty much solving it.

Solve:

-k - ( - 8k)

The "- ( -" turns into a plus sign.

So it would look like:

-k - -8k or -k + 8k

Now, you would finish solving

-k + 8k = 7k

____________________________________________________

3 0
3 years ago
Read 2 more answers
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