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
hodyreva [135]
3 years ago
6

If 0 < z ≤ 90 and sin(9z − 1) = cos(6z + 1), what is the value of z?

Mathematics
1 answer:
BartSMP [9]3 years ago
3 0

Answer:

The value of z is:

z = 6

Step-by-step explanation:

We have been given 4 options of z. Lets substitute each value in the given equation to see which option satisfies.

<h3 /><h3>For z = 3</h3>

sin(9z - 1) = cos(6z + 1)

sin(9(3) - 1) = cos(6(3) + 1)

sin(26) = cos(19)

0.438 = 0.945

FALSE

<h3 /><h3>For z = 4</h3>

sin(9z - 1) = cos(6z + 1)

sin(9(4) - 1) = cos(6(4) + 1)

sin(35) = cos(25)

0.574 = 0.965

FALSE

<h3 /><h3>For z = 5</h3>

sin(9z - 1) = cos(6z + 1)

sin(9(5) - 1) = cos(6(5) + 1)

sin(44) = cos(31)

0.695 = 0.857

FALSE

<h3 /><h3>For z = 6</h3>

sin(9z - 1) = cos(6z + 1)

sin(9(6) - 1) = cos(6(6) + 1)

sin(53) = cos(37)

0.799 = 0.799

TRUE

<h3 />
You might be interested in
a triangle has area 49.5 cm^2. if the base of the triangle is 9 cm, what is the height of the triangle
Anika [276]
Area of a triangle = (height * base ) / 2

height = (Area * 2) / base
height = (49.5 * 2) / 9
height = 99 / 9
height = 10 cm²
3 0
3 years ago
Dan earns $9.50 per hour as a dishwasher. Determine the fewest number of hours he must work to earn
Oksana_A [137]

Answer:

43 hours

Step-by-step explanation:

\frac{y}{1} :\frac{408}{9.5}

y × 9.5 = 408 × 1

9.5y = 408

9.5y ÷ 9.5 = 408 ÷ 9.5

y=42\frac{18}{19}

43 hours

8 0
3 years ago
Read 2 more answers
Which algebraic expression is a polynomial?
lisov135 [29]
7mn++ is the polynomial.
4 0
3 years ago
Read 2 more answers
The function f(x)=Acosh(Cx)+Bsinh(Cx). I need help determining the value of constant C&gt;0 when the second derivative f''(x)=25
Rus_ich [418]

Answer:

C = 5.

Step-by-step explanation:

First, you need to remember that:

For the function:

h(x) = Sinh(k*x)

We have:

h'(x) = k*Cosh(k*x)

and for the Cosh function:

g(x) = Cosh(k*x)

g'(x) = k*Cosh(k*x).

Now let's go to our problem:

We have f(x) = A*cosh(C*x) + B*Sinh(C*x)

We want to find the value of C such that:

f''(x) = 25*f(x)

So let's derive f(x):

f'(x) = A*C*Sinh(C*x) + B*C*Cosh(C*x)

and again:

f''(x) = A*C*C*Cosh(C*x) + B*C*C*Sinh(C*x)

f''(x) = C^2*(A*cosh(C*x) + B*Sinh(C*x)) = C^2*f(x)

And we wanted to get:

f''(x) = 25*f(x) = C^2*f(x)

then:

25 = C^2

√25 = C

And because we know that C > 0, we take the positive solution of the square root, then:

C = 5

6 0
2 years ago
Which measurement is the best estimate for the mass of an apple?
Taya2010 [7]
It would be A because an apple can't be 150 g that's way to heavy same for 150kg
3 0
3 years ago
Read 2 more answers
Other questions:
  • Write two expressions where the solution is 19
    7·2 answers
  • American football field measures 100 yards long between the end zone,are about 53 and 1 third yards wide. is the length of the d
    13·1 answer
  • The regular price of a child's entry ticket to a water park is $8 less than that for an adult's. The park offers half off all en
    9·1 answer
  • What is the value of
    15·2 answers
  • What is <img src="https://tex.z-dn.net/?f=%5Csqrt%7B%5B753743743547346x%5E%7B4346x%5E%7B434643%7Dx_%7B532523%7D%5D%7B6423%7D" id
    8·2 answers
  • If anyone can help me out I would truly appreciate it <br> Please show me step by step
    12·1 answer
  • Can someone help me please!
    5·2 answers
  • У — 3x 4<br> у &gt; 4х +1<br><br> Anyone know the answe on how to solve this???
    13·1 answer
  • Ollie has $55.75 for his visit to the zoo. He must pay $7.25 for admission and wants to feed as many animals as he can. Food for
    11·1 answer
  • PLEASE PLEASE PLEASE HELP +30 POINTS!
    9·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!