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
iris [78.8K]
3 years ago
15

An angle, θ, is in standard position. The terminal side of the angle passes through the point (4, 5).

Mathematics
1 answer:
lara31 [8.8K]3 years ago
5 0

Answer:

cos Θ = \frac{4}{\sqrt{41} }

Step-by-step explanation:

Given the angle passes through (4, 5 ) then the right triangle with sides 4 and 5 has hypotenuse h given by

h² = 4² + 5² = 16 + 25 = 41 ( take the square root of both sides )

h = \sqrt{41}

In relation to Θ, 4 is adjacent and 5 is opposite, thus

cos Θ = \frac{adjacent}{hypotenuse} = \frac{4}{\sqrt{41} }

You might be interested in
how.can you write the prime factorization and find the greatest common factor and the least common multiple of two numbers​
alisha [4.7K]

Answer:

Step-by-step explanation: you just need to find the greatest factors and least multiple then do it to two numbers

3 0
3 years ago
Bob's age is 4 times greater than Susanne's age. Dakota is three years younger than Susanne. The sum of Bob's, Susanne's, and Da
belka [17]
Susanne is 16 years old.

b = Bob's age

s = Susanne's age

d = Dakota's age

Bob's age is 4 times greater than Susanne's age:

b = 4s

Dakota is three years younger than Susanne:

d = s - 3

The sum of Bob's, Susanne's, and Dakota's ages is 93:

b + s + d = 93


 solve these equations:

b = 4s

d = s - 3

b + s + d = 93


and get:

b = 64 years

s = 16 years

(remember that s = Susanne) 

d = 13 years
5 0
3 years ago
Times
liubo4ka [24]

Answer:

40 times

Step-by-step explanation:

8 times per 2 months

10 months / 2 months = 5 months

5 months x 8 times =  40 times

8 0
3 years ago
Can someone please help me?
Reika [66]
The answer is -2 because the the next one is -3
8 0
3 years ago
Please help me answer this I'm having trouble
Alex777 [14]
The first one and the last one are correct.
6 0
3 years ago
Read 2 more answers
Other questions:
  • Mavis spends 1 1/4 hours on the bus every weekday. How many hours is she on the bus each bus?
    6·2 answers
  • How many atoms of carbon are in a single molecule of sugar?
    14·1 answer
  • Help me please.. pleaseeeee
    11·2 answers
  • You have an ant farm with 35 ants. The population of ants in your farm will double every 3 months. The table shows the populatio
    6·1 answer
  • 8x-2y=1<br> -4x+y=3 plzz answeerrr i will mark branliest who ever answers this for mee!!!!
    9·1 answer
  • X(x+7)=0<br>how do you solve this?​
    14·2 answers
  • Help please Ima give BRAINLIST:)
    15·2 answers
  • There are 16 tablespoons in 1 cup. How many tablespoons of cornstarch would Chery need to make the green slimerecipe 15 time?
    12·2 answers
  • YOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOOO
    5·1 answer
  • How can emily use the above to make an estimate for 576 ÷8
    13·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!