1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
soldier1979 [14.2K]
1 year ago
10

40 points cmon someone help pls

Mathematics
2 answers:
andrezito [222]1 year ago
8 0

Answer:

\red{\sin( \theta)  =  \frac{7}{8} }

Step-by-step explanation:

We know that,

\cos( \theta)  =  \frac{adjacent}{hypotenuse}  \\  \cos( \theta)   =   \frac{ \sqrt{15} }{8}

First, let us find the length of the opposite side of the right triangle using Pythagorean theorem.

Let the opposite side of the right triangle be x.

\sqrt{15}  ^{2}   +  {x}^{2}  =  {8}^{2}  \\ 15 +  {x}^{2}  = 64 \\  {x}^{2}  = 64 - 15 \\  {x}^{2}  = 49 \\ x =  \sqrt{49}  \\ x = 7

And now we can write sin theta as:

\sin( \theta)  =  \frac{opposite}{hyotenuse}  \\  \sin( \theta)  =  \frac{7}{8}

elena-s [515]1 year ago
6 0

Answer:

sin \theta =\cfrac{7}{8}

Step-by-step explanation:

Using the given identity, find the  required value as per following steps:

(sin x)^2 + (cos x)^2 = 1

(sin x)^2 = 1 - (cos x)^2

sinx=\sqrt{ 1 - (cos x)^2}

sin \theta = \sqrt{1-(\cfrac{\sqrt{15}}{8})^2  } = \sqrt{1-\cfrac{15}{64} } =\sqrt{\cfrac{49}{64} }=\cfrac{7}{8}

You might be interested in
Find x in the figure.<br><br><br> A) x = 44<br><br> B) x = 16<br><br> C) x = 22<br><br> D) x = 66
MakcuM [25]

Answer:

<h2>C)  x = 22</h2><h2 />

Step-by-step explanation:

3x + 3x + 48 = 180

6x = 180 - 48

x = 132 / 6

x = 22

7 0
2 years ago
Read 2 more answers
Is each expression a polynomial? Drag and drop each expression to the correct box. Is a polynomial Is not a polynomial 2x−6 2x^2
Varvara68 [4.7K]

Alright , lets get started.

A polynomial can have constants, variables or exponents that can be combined using addition, subtraction, multiplication and division but not division by a variable.

2x - 6 : Polynomial

2x^2 -6x+4 : Polynomial

\frac{2}{3}x^4-6x^3+4x : Polynomial

2x^{-2}-6x+4 = \frac{2}{x^2}- 6x + 4 : Not Polynomial because it has a variable in division.

Hope it will help :)

7 0
3 years ago
Read 2 more answers
Nick can read 3 pages in 1 minute . Write the ordered pairs (numbers of minutes , number of pages read ) for nick reads 0,1,2 an
Vilka [71]
0,0     1,3 .     2,6 .       3,9       where x is the number of pages and y is the number of minutes
4 0
3 years ago
0.45m-9=0.9m, what is the least power of ten you could multiply by to write an equivalent equation with integer coefficients?
tia_tia [17]

Answer:

m = -20

Step-by-step explanation:

Step 1 :

9

Simplify ——

10

Equation at the end of step 1 :

45 9

((——— • m) - 9) - (—— • m) = 0

100 10

Step 2 :

9

Simplify ——

20

Equation at the end of step 2 :

9 9m

((—— • m) - 9) - —— = 0

20 10

Step 3 :

Rewriting the whole as an Equivalent Fraction :

3.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using 20 as the denominator :

9 9 • 20

9 = — = ——————

1 20

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

3.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

9m - (9 • 20) 9m - 180

————————————— = ————————

20 20

Equation at the end of step 3 :

(9m - 180) 9m

—————————— - —— = 0

20 10

Step 4 :

Step 5 :

Pulling out like terms :

5.1 Pull out like factors :

9m - 180 = 9 • (m - 20)

Calculating the Least Common Multiple :

5.2 Find the Least Common Multiple

The left denominator is : 20

The right denominator is : 10

Number of times each prime factor

appears in the factorization of:

Prime

Factor Left

Denominator Right

Denominator L.C.M = Max

{Left,Right}

2 2 1 2

5 1 1 1

Product of all

Prime Factors 20 10 20

Least Common Multiple:

20

Calculating Multipliers :

5.3 Calculate multipliers for the two fractions

Denote the Least Common Multiple by L.C.M

Denote the Left Multiplier by Left_M

Denote the Right Multiplier by Right_M

Denote the Left Deniminator by L_Deno

Denote the Right Multiplier by R_Deno

Left_M = L.C.M / L_Deno = 1

Right_M = L.C.M / R_Deno = 2

Making Equivalent Fractions :

5.4 Rewrite the two fractions into equivalent fractions

Two fractions are called equivalent if they have the same numeric value.

For example : 1/2 and 2/4 are equivalent, y/(y+1)2 and (y2+y)/(y+1)3 are equivalent as well.

To calculate equivalent fraction , multiply the Numerator of each fraction, by its respective Multiplier.

L. Mult. • L. Num. 9 • (m-20)

—————————————————— = ——————————

L.C.M 20

R. Mult. • R. Num. 9m • 2

—————————————————— = ——————

L.C.M 20

Adding fractions that have a common denominator :

5.5 Adding up the two equivalent fractions

9 • (m-20) - (9m • 2) -9m - 180

————————————————————— = —————————

20 20

Step 6 :

Pulling out like terms :

6.1 Pull out like factors :

-9m - 180 = -9 • (m + 20)

Equation at the end of step 6 :

-9 • (m + 20)

————————————— = 0

20

Step 7 :

When a fraction equals zero :

7.1 When a fraction equals zero ...

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

-9•(m+20)

————————— • 20 = 0 • 20

20

Now, on the left hand side, the 20 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

-9 • (m+20) = 0

Equations which are never true :

7.2 Solve : -9 = 0

This equation has no solution.

A a non-zero constant never equals zero.

Solving a Single Variable Equation :

7.3 Solve : m+20 = 0

Subtract 20 from both sides of the equation :

m = -20

One solution was found :

m = -20

6 0
2 years ago
"Ten subtracted from the quotient of a number<br> and 5 is 18."
Anika [276]

Answer: n/5 - 10 = 18: this would be the equation. Your answer would be 140.

Step-by-step explanation: Let consider the number as ‘X’

Quotient of a number and 5 can be written as

                        X divided by 5

Ten subtracted from the quotient of a number and 5 can be written as

                       (X divided by 5)-10

Ten subtracted from the quotient of a number and 5 is 18 can be written as

                       (X divided by 5)-10=18

  By solving the above equation, find ‘X’

                       (X divided by 5) = 18 + 10

                    X/5=28

                       X = 28 x 5 = 140                    

                       

                   

4 0
3 years ago
Other questions:
  • Which linear equation is represented by the table?
    13·1 answer
  • How do you do this problem
    13·1 answer
  • A class has a total of 135 absences over 18 weeks. what is the mean number of absences per week?
    5·1 answer
  • Hey guys please help me please and thank you
    8·1 answer
  • Which expression is equivalent to 9x5y16 this is timed help
    8·1 answer
  • Need answer fast pls
    5·1 answer
  • |(2,9)<br> J (79)<br> 00 -<br> H(25)
    15·1 answer
  • Find the values of x when y=1
    11·1 answer
  • 1) Find the value for a that makes sin a = cos 25 true A ) 35 B) 65 D ) 155
    9·1 answer
  • 48 / 48 hrs Completed, Read watch every Single thing and answer it in comments.<br><br> 48 / 48 = ?
    6·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!