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Dima020 [189]
2 years ago
6

Angle θ is in standard position. if sin(θ) = − 1/3, and π < θ < 3π/2 , find cos(θ).

Mathematics
1 answer:
Step2247 [10]2 years ago
4 0

Answer:

Step-by-step explanation:

sin^2({ \theta})+cos^2({ \theta})=1\\cos({ \theta})=-/+\sqrt{1-sin^2({ \theta})} \\cos({ \theta})=-\sqrt{1-sin^2({ \theta})} \\  --- > sin({ \theta})=\frac{1}{3} (known)\\cos({ \theta})=-\sqrt{1-sin^2({ \theta})} =-\sqrt{1-(-\frac{1}{3})} =-\sqrt{\frac{9-1}{9}} =-\frac{2x^{2} }{3}

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Janae's savings account has $50 on September 19. If she plans to save $5 every day, how much money will Janae have in her saving
Akimi4 [234]

Janae will have $ 95 in her account after 10 days.

<h3>What is an Arithmetic Progression?</h3>

A sequence of numbers that has a fixed common difference between any two consecutive numbers is called an arithmetic progression (A.P.)

Given,

Amount in Janae's account = $ 50

Amount she wishes to save for 10 days = $ 5

This scenario models an arithmetic progression(A.P)

In an A.P,

a _n = a + (n-1)d

where a _n = nth term, a is the first term, n is the no. of terms and d is the common difference.

In this question, a = 50, n = 10, d = 5 and we have to find out a _n

Therefore, a _n = 50 + (10-1)x5

                         = 50 + 45 = 95

Answer:- Janae will have $ 95 in her account after 10 days.

To learn more about arithmetic progression, refer to:

brainly.com/question/24191546

#SPJ10

8 0
10 months ago
Question 3 (4 MARKS) Find the equation of the tangents to the curve of the function with rule y = x^2 at the points where x = a
Arte-miy333 [17]

Answer:

(0 , -a²)

Step-by-step explanation:

tangent at x = a and x = -a

y = x²     (a , a²) and (-a , a²) must be on the curve and tangent to curve

gradient dy/dx = 2x

slope (m) at x = a is <u>2a</u>     and slope (m') at x=-a is<u> -2a</u>

line1: (y - a²) / (x - a) = 2a

        y - a² = 2a (x - a)                           y = 2ax - a²   ... (1)

line2: (y - a²) / (x + a) = - 2a                   y = -2ax- a²   ... (2)

(1) - (2): 4ax = 0       a≠0    x = 0

y = - a²

I wish I did it right, or ....

3 0
2 years ago
What is the expression in factored form?
fredd [130]
9x² - 12x + 4

write the equation with two middle terms that multiply to give 36
9x² - 6x - 6x + 4

by factorisation
3x(3x - 2) - 2(3x - 2)

(3x - 2)²

Thus OPTION A
4 0
3 years ago
Solve for x and round yout answer to the nearest tenth.
Evgesh-ka [11]

Answer:

x=21.35764429=21.4

Step-by-step explanation:

Take SOHCAHTOA

in this problem you're going to use SOH, which is sine= opposite/hypotenuse

sin31=11/x

Multiply by x as a way to isolate it

x(sin31)=11

divide my sin31 to isolate x

x=11/sin31

x=21.35764429

5 0
3 years ago
Solve the problem below and enter your answer in the space below <br> 7x (3-2) = ?
postnew [5]

Answer:

7

Step-by-step explanation:

PEMDAS

3-2=1

x

7

=

7

5 0
3 years ago
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