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
Irina-Kira [14]
3 years ago
14

Given that cos (x) = 1/3, find sin (90 - x)

Mathematics
2 answers:
drek231 [11]3 years ago
3 0
\sin{(A - B)} \equiv \sin{A}\cos{B} - \cos{A}\sin{B} \\\\
\therefore \sin{(90 - x)}\\
 = \sin{(90)}\cos{(x)} - \cos{(90)}\sin{(x)} \\
= (1)\cos{(x)} - (0)\sin{(x)} \\
= \cos{x} - 0 \\
= \cos{x} \\
= \frac{1}{3}

denis23 [38]3 years ago
3 0
90а= \frac{ \pi }{2}  \\ sin(90а-x)=sin (\frac{ \pi }{2}-x)=cos (x) \\ cos(x)= \frac{1}{3}  \\ sin(x)= \frac{1}{3} \approx0.33333 \\ x=19а
You might be interested in
Find the height of the giraffe in the diagram. Show your work below.​
dlinn [17]

The distance from the person to the mirror is 5 ft. The distance from the mirror to the giraffe is 15 ft.

15/5 = 3

Multiply the height of the person by 3:

5 ft = 60 inches 60+3 = 63 inches

63 x 3 = 189 inches

189/12 = 15.75 ft = 15 feet 9 inches

The giraffe is 15 ft 9 inches tall

7 0
3 years ago
I need help on 2 and 5
BlackZzzverrR [31]

Answer:

2) d= -3

5) f= -44

Step-by-step explanation:

You're welcome :)

4 0
3 years ago
3 feet of ribbons are needed for wrapping each present. How many presents can be wrapped with 102cm of ribbons?
bagirrra123 [75]

1 imperial foot has approximately 30.48 metric centimeters, and for one present we need 3 ft, or namely 3(30.48) cm, how many can we get from 102 cm?   102 ÷ 3(30.48) ≈ 1.1155, so barely just one present.

8 0
3 years ago
Read 2 more answers
Write the equation of the line that passes through points (-4, 5) and (0,13) in slope-intercept form.
LiRa [457]

Answer:

The answer is

y = 2x + 13

Step-by-step explanation:

Remember:

Slope-intercept form: \:  \\ y = mx + b \\  \\ m = slope \\ b = y - intercept

M =  \frac{y_2 - y_1}{x_2 - x_1}

First: Find the slope.

M =  \frac{13 - 5}{0 - ( - 4)} =  \frac{8}{4}   = 2

.

Second: Solve for the y-intercept

y = mx + b \\ 5 = 2( - 4) + b \\ 5 =  - 8 + b \\   \frac{+ 8 =  + 8 \:  \:  \:  \:  \:  \:  \:  \: }{13 = b}

.

Third: Plug in.

y = mx + b \\ y = 2x + 13

8 0
3 years ago
Factor 4x^4+7x^2-2=0
natulia [17]

Answer:

(2x-1)(2x+1)(x^2+2) = 0

Step-by-step explanation:

Here's a trick:  Use a temporary substitution for x^2.  Let p = x^2.  Then 4x^4+7x^2-2=0 becomes 4p^2 + 7p - 2 = 0.  

Find p using the quadratic formula:  a = 4, b = 7 and c = -2.  Then the discriminant is b^2-4ac, or (7)^2-4(4)(-2), or 49+32, or 81.  

Then the roots are:

       -7 plus or minus √81

p=   --------------------------------

                        8

p = 2/8 = 1/4 and p = -16/8 = -2.

Recalling that p = x^2, we let p = x^2 = 1/4, finding that x = plus or minus 1/2.  We cannot do quite the same thing with the factor p= -2 because the roots would be complex.

If x = 1/2 is a root, then 2x - 1 is a factor.  If x = -1/2 is a root, then 2x+1 is a factor.  

Let's multiply these two factors, (2x-1) and (2x+1), together, obtaining 4x^2 - 1.  Let's divide this 4x^2 - 1 into 4x^4+7x^2-2=0.  We get x^2+2 as quotient.

Then, 4x^4+7x^2-2=0 in factored form, is (2x-1)(2x+1)(x^2+2) = 0.

6 0
3 years ago
Other questions:
  • 6.002 change to a fraction
    9·1 answer
  • Which is the correct graph of the inequality y >. 2x + 1
    10·1 answer
  • Help ASAP with this questions.
    6·1 answer
  • The Badys and their maid, Alice, took a trip to Hawaii for their summer vacation. The travel agent told Ike that the trip would
    11·1 answer
  • Given the following Venn diagram, choose the correct set for M UN
    7·1 answer
  • Simplify 2+3/5X subtract one subtract 1/5X
    9·1 answer
  • The vertices of Triangle ABC are Upper A (-4, 4), Upper B (-2, 3) and Upper C (- 3, 2). If Triangle ABC is reflected across the
    14·1 answer
  • At a department store, Kendra has a debt greater than $25.00. Which could be Kendra’s balance? A.Negative 32 dollars B.Negative
    12·1 answer
  • HELP HELP HELP HELP HELP HELP!!!!!!
    6·2 answers
  • Find 1n( — 290.9).<br> Help<br> Pleaseeee my test is timed
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!