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
sineoko [7]
2 years ago
10

#1 Using the right triangle below, find the cosine of angle A.

Mathematics
1 answer:
motikmotik2 years ago
7 0

Answer: 0.8

Step-by-step explanation:

Using the Cosine formula :

Cos A = \frac{b^{2}+c^{2}-a^{2}}{2bc}

a = 6

b = 8

c = 10

substituting into the formula , we have

Cos A = \frac{8^{2}+10^{2}-6^{2}}{2(8)(10)}

Cos A = \frac{64+100-36}{160}

Cos A = \frac{164-36}{160}

Cos A = \frac{128}{160}

Therefore :

Cosine of angle A = 0.8

You might be interested in
Find the new price for the markdown. Round to the nearest cent if necessary. $12.99 marked down 25%
Y_Kistochka [10]
$9.74

I like to do these equations backwards and multiply the first number by the opposite of it. ( think 1- the percent as a decimal) however, you can do this by converting the percent into a decimal and then subtracting that from the original number.

Have a great day!
8 0
2 years ago
How to answer this ?
hichkok12 [17]

Answer:

a)3,6,9,12,15,18,24 b)7,14,21,28,35,52,49,56

a)16 b)40 c)24 d)36

Step-by-step explanation:


5 0
3 years ago
Read 2 more answers
A ladder is leaning up against a house. The ladder is 20 feet long and the base of the ladder is 12 feet away from the house. Ho
MrRa [10]

Answer:

16 feet

Step-by-step explanation:

The length of the ladder=20 feet

Distance from the base of the ladder to the house = 12 feet

You will notice that a wall is vertical and the ladder makes an angle with the horizontal ground(making it the hypotenuse). This is a right triangle problem.

To find the how far up the house can the ladder can reach, we simply find the third side of the right triangle.

From Pythagoras theorem

Hyp^2=Opp^2+Adj^2\\20^2=12^2+Adj^2\\Adj^2=400-144\\Adj^2=256\\Adj=\sqrt{256}=16

The third side of the right triangle is 16. Therefore the ladder leans 16 feet from the ground.

8 0
3 years ago
Read 2 more answers
Four streets enter a traffic circle at points A B C and D name six arcs formed by the streets.
lilavasa [31]
Arcs are just sections of the circle
so lets say you had a pizza

and you put some points on the crust, the legnth of the crust from point to point is that arc

example
if you put poins A and B, then arc AB is the crust between points A and B

arcs can include other points as well
 and arc AB=arc BA


so
I wil name easy arcs first
arc AB
arc BC
arc CD
ard DA

now ones that include others
arc AC
arc BD

so the arcs you might want to list are
 
arc AB
arc BC
arc CD
ard DA
arc AC
arc DB

5 0
3 years ago
Solve each equation by factoring.
nevsk [136]

Answer:

k=1/3; k=-2/5

Step-by-step explanation:

15k^2+k-4=-2\\15k^2+k-2=0\\(3k-1)(5k+2)=0\\3k-1=0; 5k+2=0\\k=1/3; k=-2/5

4 0
3 years ago
Other questions:
  • Picture shown!! help pleaseer
    8·1 answer
  • Fraction and decimals , 0.48
    6·1 answer
  • 5. One canned juice drink is 15% orange juice; another is 10% orange juice. How many liters of each should be mixed together in
    8·1 answer
  • Look at the sequence given in the table. The term number is represented by the x values and the terms are represented by the y v
    5·1 answer
  • 30 POINTS!!!!
    13·2 answers
  • A window is designed as shown below. Find the value of x
    8·2 answers
  • Does anyone know this answer??<br> Choices- 333.50, 63.50, 153.50, 166.75
    15·2 answers
  • Convert 3,200,000 to scientific notation.
    7·2 answers
  • Need help with this problem ​
    14·1 answer
  • Q7Which statement is incorrect for the graph of thefunction y = -5 cosGcos( 3 (x – 3)) +62The period is 4.The amplitude is 3.The
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!