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
denpristay [2]
3 years ago
9

Is it true that since sin^2x + cos^2x = 1, then sin(x) + cos(x) = 1? Explain your answer.

Mathematics
1 answer:
slava [35]3 years ago
6 0

Answer:

No it is not true because plugging in something like x = pi/4 radians (equivalent to 45 degrees) leads to the left side not being equal to 1. The left side will simplify to sqrt(2). So the equation is not true when x = pi/4 radians. There are infinitely other counter examples to use

You might be interested in
What is the correct order of the following numbers from least to greater?<br> 2/3, -0.6, 0.65, 4/5
ExtremeBDS [4]
We can either convert them to decimals or to fractions
if decimals
2/3=0.66666666
4/5=8/10=0.8
so the order is
-0.6, 0.65, 0.66, 0.8 or
-0.6, 0.65, 2/3, 4/5

if conver to fractions then
since -0.6 is negative, it is smallest, no need to convert
0.65=65 hundreths=65/100
2/3=66/99=prety close
4/5=8/10=80/100
order is
-0.6, 65/100, 66/99, 80/100 or
-0.6, 0.65, 2/3, 0.8
5 0
3 years ago
Read 2 more answers
If you work 40 hours per week at $13.00 per hour and save 10% of your gross earnings, how much will you save per week?
Vesna [10]
You work 40 hours per week and make 13$ per hour, so multiply 40 and 13 and you get how much you make a week. Then find out what 10% of that number you got is and you get your answer.

You should get: 52$
3 0
3 years ago
An angle measures 12° less than the measure of its complementary angle. What is the measure of each angle?
ale4655 [162]

Let ∠1 be x

Let ∠2 be x-12

<h3>ATQ,</h3>

\rm(x - 12 )+ x = 90 \degree

\rm2x - 12 = 90 \degree

\rm2x = 90 + 12

\rm2x = 102

\boxed{ \bf \: x = 51 \degree}

<h3>So,</h3>

\sf \: ∠1 = x \\  \sf \:  = 51 \degree

\sf \: ∠2 = x - 12 \\  \sf  = \: 51 - 12 \\  \sf∠2 = 39 \degree

5 0
2 years ago
Read 2 more answers
Which expression below gives the average rate of change of the function g(x)=-x^2-4x on the interval 6
Lapatulllka [165]

Answer:

The complete question is:

Which expression below gives the average rate of change of the function g(x)= -x^2 - 4x on the interval 6 < x < 8

When we have a function f(x), the average rate of change of this function in the interval a < x < b is given by:

r = \frac{f(b) - f(a)}{b - a}

Then if we have the function g(x) = -x^2 - 4x

and we want to find the average rate of change in the interval 6 < x < 8 we need to compute:

r = \frac{g(8) - g(6)}{8 - 6} = \frac{(-(8^2) - 4*8) - (-(6)^2 - 4*6)}{2} = \frac{-96 - (-60)}{2}  = \frac{-36}{2} = -18

6 0
3 years ago
Danny carries 2 gallons of lemonade for distributing in class. How many cups of lemonade has he carried?
SSSSS [86.1K]

Answer:

32

Step-by-step explanation:

multiply the volume value by 16

6 0
2 years ago
Other questions:
  • On a trip, a family drove an average of 250 mi each day. If the family drove a total of 3,000 mi on their trip, how many days we
    10·2 answers
  • What is x ? please help :)
    5·1 answer
  • tom went to a park that is the shape of a square if he runs a total of 8 miles around the park how far would it have been if he
    5·1 answer
  • If y varies directly as x, and y is 6 when x is 72, what is the value of y when x is 8?
    12·2 answers
  • Which angles are linear pairs? Check all that apply.
    10·2 answers
  • If 45 cookies will serve 15 students, how many cookies are needed for 30 students?
    8·2 answers
  • In a different plan for area​ codes, the first digit could be any number from 2 through 5​, the second digit was either 2, 3, 4,
    9·1 answer
  • What is the measure of angle 3?
    5·1 answer
  • Which statement correctly describes the end behavior of the function f ( x ) = − x 2 + 3 x + 12
    7·1 answer
  • Francesca tried to evaluate an expression. Here is her work: 3(5)2–18÷3 = 3(25)–18÷3 = 75–18÷3 = 57÷3 = 19 Is Francesca's work c
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!