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
nikdorinn [45]
3 years ago
10

If sin θ = 2 over 7 and tan θ > 0, what is the value of cos θ?

Mathematics
1 answer:
sergey [27]3 years ago
6 0
Sin θ = 2 / 7
tan θ > 0
cos θ = ?

sin θ = opposite / hypotenuse
tan θ = opposite / adjacent
cos θ = adjacent / hypotenuse

short leg = opposite = 2
hypotenuse = 7
long leg = adjacent = ?

adjacent = √(7² - 2²)
adjacent = √(49 - 4)
adjacent = √45
adjacent = √9 * 5
adjacent = 3 √5

cos θ = adjacent / hypotenuse
cos θ = 3√5 / 7
You might be interested in
A fruit company delivers its fruit in two types of boxes: large and small. A delivery of eight large boxes and four small boxes
vazorg [7]

Answer:

Weight of Large Box = 18.5 kg

Weight of Large Box = 13.25 kg

Step-by-step explanation:

<u>Given:</u>

There are two types of boxes i.e. Large and Small

Let the weight of Large boxes = L kg

Let the weight of Small boxes = S kg

As per given statement:

  • A delivery of eight large boxes and four small boxes has a total weight of two hundred and one kilograms.

Writing equation for above:

8L + 4S = 201 ....... (1)

  • A delivery of three large boxes and two small boxes has a total weight of eighty two kilograms.

Writing equation for above:

3L + 2S = 82 ....... (2)

Now, by solving the equations (1) and (2), we can get the values of L and S.

<em>Multiplying equation (2) with 2 and subtracting from equation (1):</em>

8L + 4S = 201

-

2 \times (3L + 2S) = 82 \times 2

8L + 4S = 201

-

6L + 4S = 164

--------------------

2L = 37

L = 18.5 Kg

Putting value of L in equation (1):

8 \times 18.5 + 4S = 201\\\Rightarrow 148 + 4S = 201\\\Rightarrow  4S = 201 - 148\\\Rightarrow  4S = 53\\\Rightarrow S = 13.25\ kg

So, the answer is:

Weight of Large Box = 18.5 kg

Weight of Large Box = 13.25 kg

7 0
4 years ago
Need answer now sjdkfkfkfkggig​
mina [271]

Answer:

The area of the square should be 3

Step-by-step explanation:

a= 1.73

8 0
3 years ago
Read 2 more answers
Determine which statement is true
Ganezh [65]

Answer:

C and A are true

Step-by-step explanation:

3 0
3 years ago
Please help 20 points help asap decimals on a numberline
raketka [301]

Answer:

C (the last one)

Step-by-step explanation:

On number line #3, the point is two digits after the 1 and three digits after 1.5. That shows it is 1.2, so it's C

Hope this Helps!

4 0
3 years ago
Read 2 more answers
The associative property of addition says you can change the( order,grouping,operation) of addends without affecting the sum.
Sunny_sXe [5.5K]
An example  should help you understand

(3 + 2) + (8 +1)
= 9* + 1) + (3 + 2)
= 3 + (2 + 8 + 1)
= 2 + 3 + (1 + 8)

all of these have the same sum.
3 0
4 years ago
Read 2 more answers
Other questions:
  • Only false statements have counterexamples. true or false
    8·1 answer
  • Please help with Geometry!
    9·2 answers
  • A coral reef grows 0.18 m every week how much does it grow and 13 weeks write your answer in centimeters
    11·1 answer
  • Identify each function as linear, quadratic, or exponential.
    7·1 answer
  • A professor using an open source introductory statistics book predicts that 10% of the students will purchase a hard copy of the
    5·1 answer
  • How do you do the equation 2 to the second power over 2 to the 3rd power
    7·2 answers
  • The functions below are transformations of the parent function f(x) = 3x . Match each function to it's correct transformation. Q
    7·1 answer
  • In Cherokee County, the fine for speeding is $17 for each mile per hour the driver is traveling over the posted speed limit. In
    7·1 answer
  • Somebody this is hard if you help me I’ll MARK YOU SMARTEST PERSON IVE SEEN is so hard
    6·2 answers
  • If f(x)=(x-3)^2+1 what is f(6)<br><br> Pls help
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!