In how many ways can 4 singers be selected from 10 who came to an audition?

Find the value of x.

Dafna11 [192]

Answer:

61.7

we have:

cos 56⁰.x = 30/tan 41⁰

=>

$x = \frac{30}{ \tan(41 {}^{0} ) \cos(56 {}^{0} ) } = 61.7$

6 0

2 years ago

Anything will help please

svp [43]

The way that I memorised how to do sin, cos, and tan is by the following: SOH, CAH, TOA

SOH = Sin is OPPOSITE / HYPOTENUSE

CAH = Cos is ADJACENT / HYPOTENUSE

TOA = Tan is OPPOSITE / ADJACENT

For example if we were to solve question 5

Sin T = 6 root 2 / 19

Cos T = 17 / 19

Tan T = 6 root 2 / 17

Repeat the steps for question 6

For the rest of the questions (7,8,9) you have to take the information given and figure out if you should us Sin, cos, or Tan. then plug the numbers in the calculator and while doing sin ^ -1, cos ^ -1, tan ^ -1

for example on question 7, to find the angle x they have given you the hypotenuse and the adjacent side so

cos x = 9 / 18

to find x plug: cos^-1 (9/18) in the calculator

8 0

2 years ago

15x-7=2+12x I need help with this

Amanda [17]

Answer:

$\huge{ \boxed{ \bold{ \tt{x = 3}}}}$

<h3>♁ Question : Solve for x</h3>

15x - 7 = 2 + 12x

<h3>♁ Step - by - step explanation</h3>

$\text{15x - 7 = 2 + 12x}$

Move 12x to L.H.S ( Left Hand Side ) and change it's sign

➛ $\sf{15x - 12x - 7 = 2}$

Move 7 to R.H.S ( Right Hand Side) and change it's sign

➛ $\sf{15x - 12x = 2 + 7}$

Subtract 12x from 15x

Remember that only coefficients of like terms can be added or subtracted.

➛ $\sf{3x = 2 + 7}$

Add the numbers : 2 and 7

➛ $\sf{3x = 9}$

Divide both sides by 3

➛ $\sf{ \frac{3x}{3} = \frac{9}{3}}$

➛ $\boxed{ \bold{ \sf{x = 3}}}$

The value of x is $\boxed{ \sf{3}}$

✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄

☄ Now, let's check whether the value of x is 3 or not!

<h3>☥ Verification :</h3>

$\sf{15x - 7 = 2 + 12x}$

$\dashrightarrow{ \sf{15 \times 3 - 7 = 2 + 12 \times 3}}$

$\dashrightarrow{ \sf{45 - 7 = 2 + 36}}$

$\dashrightarrow{ \sf{38 = 38}}$

L.H.S = R.H.S ( Hence , the value of x is 3 ).

✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄ ✄

<h3>✒ Rules for solving an equation :</h3>

If an equation contains fractions ,multiply each term by the L.C.M of denominators.
Remove the brackets , if any.
Collect the terms with the variable to the left hand side and constant terms to the right hand side by changing their sign ' + ' into ' - ' and ' - ' into ' + ' .
Simplify and get the single term on each side.
Divide each side by the coefficient of variable and then get the value of variable.

Hope I helped!

Have a wonderful time ! ツ

~TheAnimeGirl

5 0

3 years ago

Use the commutative and associative properties as needed to simplify the expression.<br>(16+a)+15

Serjik [45]

Answer:The expression can be simplified in following steps;

Step-by-step explanation:

(16+a)+15=0

16+15+a=0

31+a=0

a=-31

8 0

3 years ago

A math teacher is trying to analyze her test grades. She surveys the students to find out how many minutes they studied. She the

Natali [406]

<span>Well, they couldnt have studied negative time.. So Id say the domain is $x \ge 0$ where $x$ is the time they studied.</span>

5 0

3 years ago

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