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
VikaD [51]
3 years ago
14

1. The hypotenuse of a right triangle measures 2 sqrt 15 centimeters and its shorter leg measures 2 sqrt 6

Mathematics
2 answers:
Dominik [7]3 years ago
8 0

Answer:

<h2>50.8°</h2>

Step-by-step explanation:

First, we need to use the Pythagorean Theorem to find the third side. We will then use the law of cosines to find the angle.

2√15² = 2√6² + b²

60 = 24 + b²

Subtract 24

36 = b²

b = 6

Now, that we have all three sides, we will use the law of cosines to figure out the angle.

c² = a² + b² - 2abCosC°

Substitute the values in.

6² = 2√15² + 2√6² - 2(2√15)(2√6)CosC°

36 = 60 + 24 - 2(37.947331922)CosC°

36 = 60 + 24 - 75.894663844CosC°

36 = 84 - 75.894663844CosC°

Subtract 84

-48 = -75.9CosC°

0.63241106719 = CosC°

Arccos (0.63241106719) = 50.77176844°

The largest acute angle is approximately 50.8°

strojnjashka [21]3 years ago
8 0

Answer:

50.8 degrees

Step-by-step explanation:

cos^(-1)(sqrt(6)/sqrt(15)) = 50.8

You might be interested in
Please help I will mark BRAINLIEST ​
katen-ka-za [31]

Answer: Bethan: 15:30, Sioban: 8km

Hope this helps!!!!!

5 0
2 years ago
Read 2 more answers
An ancient Greek was born on April 1st, 35 B.C. and died on April 1st, 35 A.D. How many years did he live?
lara [203]

Answer:

70 years

Step-by-step explanation:

35 years before Christ and then another 35 years after:  35 + 35 = 70 years

6 0
3 years ago
Read 2 more answers
Which is more, 13 feet or 4 yards?
NikAS [45]

Answer:

it is 13 feet

Step-by-step explanation:

because it is 4.33333 yards

3 0
3 years ago
What is the solution to the equation x + 14 = 63? (Input a whole number only.) (3 points) Blank 1:
Alex

Hey there!

This is a one-step equation, meaning that we can solve it in one step.

This is the step:

  • Subtract 14 from both sides

Goal:

  • To find out the value of x

Subtract 14:

x+14-14=63-14

the 14's on the left cancel:

x=49

Hence, the answer is

\boxed{\boxed{\bold{x=49}}}

Hope everything is clear.

Let me know if you have any questions!

#LearningDoesn'tEnd

:-)

\rule{200}{2}

7 0
2 years ago
What is the estimate quotient of 31.9/4
ivann1987 [24]
8 . You round 31.9 to 32 then divide it by 4 which gives you 8

8 0
3 years ago
Other questions:
  • A computer that originally cost $850 is on sale for 15%off. What is the sale price of the computer show your work
    12·2 answers
  • A regular polygon has an exterior angle of 7.5 what is the sum of the interior angle
    15·1 answer
  • In a polygon, interior and exterior angles are adjacent. If one of the exterior angles has a measure of 113°, what is the measur
    5·1 answer
  • If Sophia's score was 76 points, what was her percentile rank in the class?
    5·1 answer
  • Can someone please help me out with this
    7·1 answer
  • I dont get this question..
    15·1 answer
  • 100q+20=20-5q<br><br> Answer pls and thank u
    7·1 answer
  • 0 If 3x+ 11 = 86-5 the x = ?
    7·2 answers
  • Joe works as a plumber. He charges $45 per hour for a house call. You can use the equation c = 45h to determine the total amount
    5·1 answer
  • Which of the following sets represent A∩B?
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!