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
alukav5142 [94]
2 years ago
5

Trigonometry PLEASE HELP

Mathematics
1 answer:
Natalija [7]2 years ago
6 0

Answer:

x = 13.7

Step-by-step explanation:

The side marked 22 is a leg of the right triangle. The side marked x is also a leg of the right triangle. The angle marked 58° is right next to the side marked x. It is ADJACENT to the angle. The 22 side is OPPOSITE from the angle. The trig ratio that puts together the ADJACENT side and the OPPOSITE side is the tangent.

tan Angle= OPP/ADJ

tan 58° = 22/x

Times both sides by x

xtan58° = 22

Divide by tan58°

x = 22/tan58°

at this point you need need a calculator. There will be a button "tan" enter tan 58° and hit enter. Make sure your calculator is in degree mode. There will probably be a "deg" on the screen or in the info if you hit a "mode" button (its like settings)

divide 22 ÷ (tan58°)

use parentheses.

x = 13.7

You might be interested in
What is the LCD of 1/4a and 5/6a
inessss [21]
1/(4a) & 5/(6a)
(3)(1/4a)=3/12a
(2)(5/6a)=10/12a
LCD=12a
7 0
3 years ago
Which statement is false?
mariarad [96]

Answer:

D. Every real number is also rational.

8 0
3 years ago
Find three consecutive intgers whose sum is 171
Taya2010 [7]
x,\ x+1,\ x+2\ \ - three\ consecutive\ integers\\\\Sum\ of\ those\ integers:\\\\x+x+1+x+2=171 \\\\3x=171-3\\\\3x=168\ \ \|:3\\\\x=56\\\\Three\ consecutive\ integers\ which\ sum\ is\
 171:\  56,57,58.
5 0
3 years ago
Find the slope of the tangent line of the curve r = cos (3theta) at theta = pi / 3
LiRa [457]

The slope of the tangent line to the curve at a point <em>(x, y)</em> is d<em>y</em>/d<em>x</em>. By the chain rule, this is equivalent to

d<em>y</em>/d<em>θ</em> × d<em>θ</em>/d<em>x</em> = (d<em>y</em>/d<em>θ</em>) / (d<em>x</em>/d<em>θ</em>)

where <em>y</em> = <em>r(θ)</em> sin(<em>θ</em>) and <em>x</em> = <em>r(θ)</em> cos(<em>θ</em>). Then

d<em>y</em>/d<em>θ</em> = d<em>r</em>/d<em>θ</em> sin(<em>θ</em>) + <em>r(θ)</em> cos(<em>θ</em>)

d<em>x</em>/d<em>θ</em> = d<em>r</em>/d<em>θ</em> cos(<em>θ</em>) - <em>r(θ)</em> sin(<em>θ</em>)

Given <em>r(θ)</em> = cos(3<em>θ</em>), we have

d<em>r</em>/d<em>θ</em> = -3 sin(3<em>θ</em>)

and so

d<em>y</em>/d<em>x</em> = (-3 sin(3<em>θ</em>) sin(<em>θ</em>) + cos(3<em>θ</em>) cos(<em>θ</em>)) / (-3 sin(3<em>θ</em>) cos(<em>θ</em>) - cos(3<em>θ</em>) sin(<em>θ</em>))

When <em>θ</em> = <em>π</em>/3, we end up with a slope of

d<em>y</em>/d<em>x</em> = (-3 sin(<em>π</em>) sin(<em>π</em>/3) + cos(<em>π</em>) cos(<em>π</em>/3)) / (-3 sin(<em>π</em>) cos(<em>π</em>/3) - cos(<em>π</em>) sin(<em>π</em>/3))

d<em>y</em>/d<em>x</em> = -cos(<em>π</em>/3) / sin(<em>π</em>/3)

d<em>y</em>/d<em>x</em> = -cot(<em>π</em>/3) = -1/√3

4 0
2 years ago
1eeeeeeeeeeeeeeeeeeeeeeeee
egoroff_w [7]
Wait what?????????????
6 0
3 years ago
Other questions:
  • Martha works in a toy shop and earns $44 Per day. She earns an extra $2 for each toy she sells. If Martha wants to earn at least
    12·1 answer
  • 20 points!! Need help with 8
    15·1 answer
  • What is number 2? PLS HURRY! I GIVE BRAINLIEST!
    5·2 answers
  • <img src="https://tex.z-dn.net/?f=4x%2B6%3D11" id="TexFormula1" title="4x+6=11" alt="4x+6=11" align="absmiddle" class="latex-for
    9·2 answers
  • One gallon of gasoline in Buffalo, New York costs $2.29. In Toronto, Canada, one liter of gasoline costs $0.91. How much does on
    5·1 answer
  • Multiply the following complex numbers: (4 + 7i) (-3-1)
    9·1 answer
  • Coefficient of 24x+32+4x+3
    12·1 answer
  • A farmer fills a rectangular water trough to a depth of 1 foot.
    6·2 answers
  • Hudson is making smoothies. Each smoothie uses 2/3 cup of yogurt. How many cups of
    7·2 answers
  • A car costs 20% less this year than last year. Last year, the car cost 5% less than the year before. The price of the car this y
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!