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murzikaleks [220]
3 years ago
14

Find values of  that satisfy the equation for 0º    360º and 0  θ  2 . Give answers in degrees and radians.

Mathematics
1 answer:
suter [353]3 years ago
8 0

Answer:

\theta = 30^\circ, 330^\circ

\theta = \frac{\pi}{6}, \frac{11\pi}{6}

Step-by-step explanation:

Given [Missing from the question]

Equation:

cos\theta = \frac{\sqrt 3}{2}

Interval:

0 \le \theta \le 360

0 \le \theta \le 2\pi

Required

Determine the values of \theta

The given expression:

cos\theta = \frac{\sqrt 3}{2}

... shows that the value of \theta is positive

The cosine of an angle has positive values in the first and the fourth quadrants.

So, we have:

cos\theta = \frac{\sqrt 3}{2}

Take arccos of both sides

\theta = cos^{-1}(\frac{\sqrt 3}{2})

\theta = 30 --- In the first quadrant

In the fourth quadrant, the value is:

\theta = 360 -30

\theta = 330

So, the values of \theta in degrees are:

\theta = 30^\circ, 330^\circ

Convert to radians (Multiply both angles by \pi/180)

So, we have:

\theta = \frac{30 * \pi}{180}, \frac{330 * \pi}{180}

\theta = \frac{\pi}{6}, \frac{33 * \pi}{18}

\theta = \frac{\pi}{6}, \frac{11 * \pi}{6}

\theta = \frac{\pi}{6}, \frac{11\pi}{6}

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Carissa counts by 5s from 32 to 62. Which number does carissa count?
Anna35 [415]

Answer:

32, 37, 42, 47, 52, 57, 62.

Step-by-step explanation:

It is given that Carissa counts by 5s from 32 to 62.

It means, we have to add 5 in the number to get the next number.

Add 5 in 32.

32+5=37

Now, add 5 in 37.

37+5=42

Similarly, continue the process.

42+5=47

47+5=52

52+5=57

57+5=62

Therefore, the numbers counted by carissa are 32, 37, 42, 47, 52, 57, 62.

4 0
3 years ago
What is the solution to 4x + 6 ≤ 18?​
maks197457 [2]
The answer would be x less than or equal to 3

(same equality symbol you used)

3 0
2 years ago
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(2.8 x 10^8) / (7 × 10^2)
raketka [301]

Answer:

(2.8 x 10^8) / (7 × 10^2) = 400'000

Step-by-step explanation:

4 0
3 years ago
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Could someone plz help I need the answers by tonight
Maksim231197 [3]

Answer:

7)  C) PQR ≈ TSR

8) B)  3

9) D) 102 ft

10) D) 21

11) C) 45

Step-by-step explanation:

7) C) PQR ≈ TSR

8) 2 * 6 = 12

so 4x = 12

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x = 24 * 85 / 20

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ΔKLM ≈ΔXYZ

9/4 = 2.25

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XY = 9 ---> given

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7 0
3 years ago
The base of a 13 foot ladder is 5 feet away from the wall. How far up the wall does the ladder reach? A)8 feet B)10 feet C)12 fe
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Isolate the a. Root both sides

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a = √144

a = √(12 x 12)

a = 12

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3 years ago
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