answer.
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
enyata [817]
2 years ago
6

In a right triangle, angle a measures 20. The side opposite angle a is 10 centimeters long. Approximately how long is the hypote

nuse of the triangle
Mathematics
2 answers:
AleksAgata [21]2 years ago
6 0

<span>sin(angle)=<span><span>opposite leg/</span><span>hypotenuse</span></span></span>

<span><span><span>
</span></span></span>

<span><span><span> sin(20) = 10/ hypotenuse</span></span></span>

<span><span><span>hypotenuse = 10/sin(20) = 29.238 ( round off as necessary)</span></span></span>

<span><span><span>
</span></span></span>


sergeinik [125]2 years ago
3 0

Answer:

29.24 centimeters

Step-by-step explanation:

The trigonometry of angles states that in a right angled triangle with sides a, b, c representing the opposite, adjacent and hypotenuse sides respectively, and an angle A° opposite the side a

Then,

Sin A° = a/c

Cos A° = b/c

Tan A° = a/b

Hence,

Sin 20° = 10/c

c = 10/Sin 20°

c = 29.24 centimeters

You might be interested in
Bob sets the price of the plants according to their height in inches. A plant that is 9.5 inches high costs $2.28 in his store.
antiseptic1488 [7]

Answer:

0.24 and 1.32

Step-by-step explanation:

you divide 2.28 by 9.5 for the first answer then multiply that answer by  5.5

6 0
2 years ago
Read 2 more answers
Find any relative extrema of the function. (Round your answers to three decimal places.)
Strike441 [17]

(x) = arcsec(x) − 8x

f'(x) = d/dx( arcsec(x) − 8x )

<span> 1/xsqrt( x^2 - 1) - 8</span>

f'(x) = 0

1/xsqrt( x^2 - 1) - 8 = 0

8 x sqrt (x^2-1) = 1

<span> ( 8 x sqrt (x^2-1) )^2 = 1</span>

64 x^2 ( x^2 - 1) = 1

64 x^4 - 64 x^2 =1

64 x^4 - 64 x^2 - 1 = 0

x = 1.00766 , - 1.00766

<span> x =   - 1.00766</span>

f(- 1.00766) = arcsec(- 1.00766) − 8( - 1.00766)

f( - 1.00766 ) = 11.07949

x = 1.00766

f(1.00766) = arcsec(1.00766) − 8( 1.00766)

f(1.00766 ) = -7.93790

relative maximum (x, y) = (- 1.00766 , 11.07949 ) relative minimum (x, y) = ( 1.00766 , -7.93790  )


8 0
2 years ago
Clint is in study hall reading the hunger games after 20 minutes he is on page 151 after 45 minutes he's on page 181 how many pa
Mademuasel [1]

After 20 minutes Clint is on page = 151

After 45 minutes Clint is on page = 181

Time slot = 45-20=25 minutes

Difference in pages in 25 minutes = 181-151=30 pages.

Lets suppose Clint is reading each page at same pace.

So , In 25 minutes, he can read = 30 pages

In 1 minute he can read = \frac{30}{25}=1.2 pages

Initial time is 20 minutes, so he can read the number of pages in 20 minutes = 20\times1.2=24

So, number of pages Clint read prior to study hall were =

151-24=127 pages.

6 0
2 years ago
Which graph shows data whose r-value is most likely closest to 0?
Oksanka [162]

Answer:

answer is C

Step-by-step explanation:

I just Took it on Edg

5 0
2 years ago
Read 2 more answers
Darryl deposits $1,500 into a savings account that has a simple interest rate of 2.7%. Lori deposits $1,400 into a savings accou
igor_vitrenko [27]
Darryl:
Answer:
A = $1,905.00

(I = A - P = $405.00)

Equation:
A = P(1 + rt)

Lori:

Answer:
A = $1,932.00

(I = A - P = $532.00)

Equation:
A = P(1 + rt)

Thus $532-$405= $127 more in Lori's account
3 0
1 year ago
Read 2 more answers
Other questions:
  • Bella sanchez's budget and expenditure for personal items during the month of july is shown. how much less did bella spend than
    7·1 answer
  • Eva is 29 years old and has 2 children, ages 3 and 5.  She makes $48,500 a year.  Eva decides to buy a $400,000 10-year term pol
    8·2 answers
  • Given a polynomial function f(x), describe the effects on the y-intercept, regions where the graph is increasing and decreasing,
    6·2 answers
  • An open-topped glass aquarium with a square base is designed to hold 13.513.513, point, 5 cubic feet of water. what is the minim
    13·1 answer
  • What is √6 divided by √5 in simplest radical form?
    8·1 answer
  • Which recursive formula can be used to generate the sequence below, where f(1) = 3 and n ≥ 1?
    12·2 answers
  • P is the incenter of ΔXYZ. If PY = 35 and JY = 28, find LP.
    12·2 answers
  • Gregory bought 0.85 pounds of apples, they cost 1.49 a pound. about how much did gregory spend on apples
    7·1 answer
  • Tyrone claims that the first step to simplify this expression is to raise the numerator and denominator to the third power. Alis
    9·2 answers
  • Justin traveled 70 miles from Boston to Hyannis in 1 hr and 45 minutes. He then traveled 10 more miles from Hyannis to Dennispor
    10·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!