All categories

3 years ago

Which of the following angles is in the solution set of sec^2θ - 3secθ - 2 = 0 for 0° ≤ θ < 360°.

1 answer:

4 0

1 / cos^2 O - 3 / cos O - 2 = 0
1 - 3 cos O - 2 cos^2 O = 0

2 cos^2 O + 3 cos O - 1 = 0

cos O = 0.2807 , -1.78 ( -1.78 cannot be a solution)

O = 74 degrees (from 0.2807) another solution is 360-74 = 286 degrees

Its D

You might be interested in

Please solve this question!!

GaryK [48]

Answer: (i) 1/221 (ii) 11/221 (iii) 95/663 (iv) 1/663

Step-by-step explanation:

(i) A deck of cards contains 4 Kings out of 52 total cards

1st draw: 4 Kings out of 52 total cards → 4/52 = 1/13

2nd draw: 3 remaining Kings out of 51 total remaining cards → 3/51 = 1/17

1st Draw 2nd Draw Outcome Probability

King: P(K) = 1/13 King: P(K₂/K₁) = 1/17 King, King (1/13) x (1/17) = 1/221

*************************************************************************************************

(ii) A deck of cards contains 4 Jacks, 4 Queens, & 4 Kings out of 52 total cards

1st draw: 12 Face cards out of 52 total cards → 12/52 = 3/13

2nd draw: 11 remaining Face cards out of 51 total remaining cards → 11/51

1st Draw 2nd Draw Outcome Probability

Face: P(F) = 3/13 Face: P(F₂/F₁) = 11/51 Face,Face (3/13) x (11/51) = 11/221

*************************************************************************************************

(iiI) A deck of cards contains 26 black cards out of 52 total cards but there are 2 black Jacks, 2 black Queens, and 2 black Kings.

1st draw: 20 Black (not Face) cards out of 52 total cards → 20/52 = 5/13

2nd draw: 19 remaining Black (not Face) cards out of 51 total remaining cards → 19/51

1st Draw 2nd Draw Outcome Probability

Black: P(B~) = 5/13 Black: P(B~₂/B~₁) = 19/51 B~,B~ (5/13) x (19/51) = 95/663

*************************************************************************************************

(ii) A deck of cards contains 4 Aces out of 52 total cards

1st draw: 4 Aces out of 52 total cards → 4/52 = 1/13

2nd draw: 1 Queen of Hearts out of 51 total remaining cards → 1/51

1st Draw 2nd Draw Outcome Probability

Ace: P(A) = 1/13 Qh: P(Qh₂/A₁) = 1/51 Ace,Queen(h) (1/13) x (1/51) = 1/663

7 0

4 years ago

−(−49) = −49 true or false?

vova2212 [387]

I hope this helps you

false

cause two negative numbers multiple must be positive

(-1).(-49)

+49

5 0

3 years ago

Read the following and answer the questions that follow.

user100 [1]

Answer:

Step-by-step explanation:

(7/12) of 840 attended the concert:

(7/12)*(840) = 490 students attended the Spring Concert.

(840 - 490) = 350 did not attend

(350/840) is the fraction of students who did not attend. This can be reduced to (35/84)

(350/840) = 0.4167 or 41.67% did not attend.

3 0

2 years ago

In math how do i graph the shapes doing both reflection and translation?

love history [14]

Answer:

I'm sorry my dude can't help you ther

3 0

3 years ago

Read 2 more answers

Rearrange the formula to make x the subject: A = 1/2xy

Maslowich

Answer:

x = $\frac{2A}{y}$

Step-by-step explanation:

Given

A = $\frac{1}{2}$ xy

Multiply both sides by 2 to clear the fraction

2A = xy ( divide both sides by y )

$\frac{2A}{y}$ = x

3 0

3 years ago