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
Nina [5.8K]
3 years ago
5

How do I solve these equations

Mathematics
1 answer:
Sever21 [200]3 years ago
3 0
You need to know the properties of each function.
Tan is opposite (y) over adjacent (x).  Sin>0 means that sin is positive, therefore, it is located on either quadrant 1 or 2. Tan=4/3  so it is located in quadrant 1.
The side of the triangle must be Adjacent=3  opposite=4 and hypotenuse=5
Now, you are asked to find the half angle of Cos which is 
\sqrt{\frac{1+cos}{2} }
By following the formula, cos=3/5 then:
\sqrt{ \frac{1- \frac{3}{5} }{2} }    Multiply everything (inside the square          \sqrt{ \frac{5+3}{10} }                  root) by 5
\frac{2 \sqrt{2} }{ \sqrt{10} }
\frac{2 \sqrt{20} }{10}                Then just simplify
\frac{ \sqrt{20} }{5}      The answer is Square root of 20 over 5
You might be interested in
-18x-17=-53
nydimaria [60]

-18x-17=-53 /add 17 to both sides

-18x-17+17=-53+17

-18x=-36

x=(-36)/(-18)

x=2

5 0
3 years ago
Please help me ASAP! Triangle ABC is located at A (2, 3), B (4, 4), and C (6, 3). Zackary says that triangle ABC is an isosceles
son4ous [18]
<h2>Hello!</h2>

The answer is:

The second option,

Zackery, because AB=BC

<h2>Why?</h2>

To identify which type of triangle is the triangle formed by the given points, first, we need to calculate the distance between the points.

So, finding the distances we have:

From A to B: (2,3) and (4,4)

distance=\sqrt{(x_2-x_1)^{2} +(y_2-y_1)^{2}}\\\\distance=\sqrt{(4-2)^{2} +(4-3)^{2}}=\sqrt{2^{2} +1^{2} }=\sqrt{4+1}=\sqrt{5}=2.24units

From B to C: (4,4) and (6,3)

distance=\sqrt{(x_2-x_1)^{2} +(y_2-y_1)^{2}}\\\\distance=\sqrt{(6-4)^{2} +(3-4)^{2}}=\sqrt{2^{2} +(-1)^{2} }=\sqrt{4+1}=\sqrt{5}=2.24units

Hence, since the distances AB and BC are equal, the triangle is an isosceles triangle, so the answer is:

Zackery, because AB=BC

Have a nice day!

7 0
3 years ago
Pls help me on this!
salantis [7]

Answer:

The answer is A

Step-by-step explanation:

You would measure earth's mass is kg and not in g , mg or mcg

5 0
3 years ago
During the first decade of the century, the population of a certain city was 145,380 in 2000 and 219,135 in 2010. Find the expon
Likurg_2 [28]

Answer:

The exponential growth function is P=145380e^{0.04103t}

Step-by-step explanation:

Given: The population of a certain city was 145,380 in 2000 and 219,135 in 2010.

To find: exponential growth function that models the growth of the city

Solution:

The exponential growth function is given by P=P_0 e^{kt}

Here, P denotes total population after time t

P_0 denotes initial population

k denotes rate of growth

t denotes time

As P(0)=145,380,

145380=P_0e^{0}\\145380=P_0\\P=145380e^{kt}

As P(10)=219135

219135=145380e^{10k}\\e^{10k}=\frac{219135}{145380}\\=1.507326\\k=\frac{1}{10}\ln (1.507326)\\=0.04103\\\Rightarrow P=145380e^{0.04103t}

8 0
3 years ago
How many 7 digit phone numbers are there assuming the first digit can't be a 0 or a 1?
Anettt [7]
The first digit can be any one of the numbers 2-9 That a total of 8 numbers.

The next 6 digits can be any permutation of 6  from the numbers  0 to 9.
(10 numbers)

nPr  =  n! / r!

so here we have  10P6  = 10! / 6!  =  10*9*8*7  =  5040

So final answer  is 8 * 5040 = 40,320
7 0
3 years ago
Other questions:
  • A tennis supply store pays a wholesaler $90 for a tennis racket and sells it for $144. What is the markup rate
    7·1 answer
  • What is the domain of the following quadratic function?
    10·1 answer
  • The length of a rectangular painting is 3 inches longer than its width. If the diagonal is 15 inches long, what is the length of
    14·2 answers
  • If log.. (125) = 3, then x =
    9·1 answer
  • Hi! can you please help me and show me how you got your answer? thank you!
    7·1 answer
  • Find the equation of the line.
    8·1 answer
  • Help help answer asap will give brainliest 25 points pls pls
    12·1 answer
  • Shape B is 2 times the size of Shape A. Which is the perimeter of Shape B? (1 point)
    15·1 answer
  • Answers please. First to answer all of them correctly gets brainliest.
    12·1 answer
  • Please help brainliest who answer's first and correct
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!