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
mixer [17]
4 years ago
9

An acute angle θ is in a right triangle with sin θ = five sixths. What is the value of cot θ?

Mathematics
2 answers:
saw5 [17]4 years ago
8 0
I hope this helps you


sin(theta)=height/hypothenus



sin(theta)=5/6



base^2+height^2=hypothenus^2


base^2+5^2=6^2


base = sqrt 11


ctg (theta)= base/height


ctg (theta)=sqrt11/5
storchak [24]4 years ago
4 0
Assume the triangle has 3 sides with length of 5, 6, and sqrt(11)

So cotθ = 1/tan<span>θ = 1/(5/sqrt(11)) = sqrt(11)/5</span>
You might be interested in
usain bolt, a Jamaica retired sprinter and world record holder in the 100 meters, 200 meters and 4 × 100 meters relay, has an av
Novosadov [1.4K]

For this case we have the following conversion of units:

1mi = 1609m

1h = 3600s

Thus, applying the conversion of units we have:

(23.35 \frac{mi}{h}) (\frac{1609}{1}\frac{m}{mi}) (\frac {1}{3600}\frac{h}{s}) = 10.4 \frac{m}{s}

Then, the distance traveled for 5 seconds is given by:

d = (10.4) (5)

d = 52m

Answer:

he has completed 52 meters of the 80-meter race

5 0
3 years ago
What is the image of (-1, 1) when reflected across the line y = x?
MaRussiya [10]

Answer:

(1, -1)

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
Jamie used the distributive property to find the product of s(t) and h(t). His work was marked incorrect. Identify Jamie's mista
SSSSS [86.1K]

Complete Question:

Jamie used the distributive property to find the product of s(t) and h(t). His work was marked incorrect. Identify Jamie's mistake. What advice would you give Jamie to avoid this mistake in the future?

s(t)•h(t)= (3x-4)(2x-8)

= 6x² - 24x -8x - 32

= 6x² - 32x - 32

Answer:

Jamie made a mistake in his second line (6x² - 24x -8x - 32), by wrongly multiplying the operation signs. The last term should be +32, not -32.

Advice: Jamie should take note of the rule that applies when multiplying signs.

Step-by-step Explanation::

To find out where exactly Jamie made mistake, let's find the product of the given functions, step by step:

s(t)•h(t)= (3x-4)(2x-8)

Using distributive property, do the following:

3x(2x - 8) -4(2x - 8)

3x*2x -3x*8 -4*2x -4*-8

6x^2  - 24x - 8x + 32 (this is where Jamie made mistake. -4 * -8 = +32. NOT -32.)

Add like terms

6x^2  - 32x + 32

Jamie made a mistake in multiplying negative × negative. The last term in "6x² - 24x -8x - 32", should be +32. Negative × negative = +.

Therefore, it is advisable for Jamie to always take note of the rule that applies when multiplying signs.

8 0
3 years ago
If the diameter of a semi circle is 2 inches what is the semi circles perimeter
SpyIntel [72]

Answer: 5.14 cu in

Step-by-step explanation:

1/2 (π × d) + d, where d is the diameter of the semi

Perimeter = 1/2 (3.14 x 2) + 2

= 1/2 * 6.28 + 2

= 3.14 + 2

5 0
3 years ago
Justin spent a total of $40 at the grocery store. Of this amount, he spent $18 on fruit. What percentage of the total did you sp
oksano4ka [1.4K]

Answer:

45%

Step-by-step explanation:

To solve this, we can turn it into a fraction. 18/40. If we are trying to determine what percentage he spent on fruit out of the money he spent at the grocery store, then we will divide the denominator (40) by the numerator (18). 18 divided by 40 is 0.45. Next, we multiply 0.45 by 100, which leaves us with 45%. Justin spent 45% on the fruit.

3 0
3 years ago
Read 2 more answers
Other questions:
  • Write the standard form of an equation with p=12, phi=pi/4
    12·2 answers
  • The frequency of data is the higest at
    5·1 answer
  • Find the missing lengths of the sides
    10·1 answer
  • Andrew needs to print a document that is 180 pages long. How much longer will it take to print the document on a Sure-Fire print
    8·2 answers
  • What is the value of x? Enter your answer in the box. x =
    11·1 answer
  • Please help me im stuck
    5·1 answer
  • IF YOU KNKW ABOUT THIS PLEASE HELP .... What is the volume of the cone shown below?
    14·1 answer
  • What is constant terms 7k-8k
    5·1 answer
  • In April Jayveis sent 675 test messages in may jayveis sent 621 text messages by what percent did the number of text messages de
    13·1 answer
  • Elimination Method: 6x - 4y = -24 and 4x + 5y = -2
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!