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EastWind [94]
3 years ago
11

If θ is an angle in standard position and its terminal side passes through the point (1/2,√3/2) on a unit circle, a possible val

ue of θ is
A)120
B)60
C)30
D)150
Mathematics
1 answer:
-Dominant- [34]3 years ago
4 0

Answer: B) 60

Step-by-step explanation:

Look on the <u>unit circle</u>

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An angle measures 111.4° more than the measure of its supplementary angle. What is the measure of each angle?
fomenos

The measure of the supplementary angles are 34.3 and 145.7 degrees.

<h3>What are supplementary angles?</h3>

Supplementary angles are those angles that sum up to 180 degrees.

In other words, two angles are Supplementary when they add up to 180 degrees.

Therefore, the angles measures 111.4° more than the measure of it's supplementary angle.

Hence,

let

x = measure of the other angle

x + x + 111.4 = 180

2x + 111.4 = 180

subtract 111.4 from both sides

2x + 111.4 - 111.4 = 180 - 111.4

2x = 68.6

divide both sides by 2

x = 68.6 / 2

x = 34.3

Other angle  = 34.3 + 111.4 = 145.7°

Therefore, the measure of the supplementary angles are 34.3 and 145.7 degrees.

learn more on supplementary angles here: brainly.com/question/15966137

#SPJ1

6 0
1 year ago
If the sum of the first 12 terms of a geometric series is 8190 and the common ratio is 2. Find the first term and the 20th term.
Reil [10]

The first term is 2 and the 20th term is 1048576 .

<u>Step-by-step explanation:</u>

Here we have , If the sum of the first 12 terms of a geometric series is 8190 and the common ratio is 2. We need to Find the first term and the 20th term. Let's find out:

We know that Sum of a GP is :

⇒ S_n = \frac{a(r^n-1)}{r-1}

So ,Sum of first 12 terms is :

⇒ S_1_2 = \frac{a(2^{12}-1)}{2-1}

⇒ 8190=a(2^{12}-1)

⇒ \frac{8190}{4095}=a

⇒ a=2

Now , nth term of a GP is

⇒ a_n = ar^{n-1}

So , 20th term is :

⇒ a_2_0 = 2(2)^{20-1}

⇒ a_2_0 = (2)^{20}

⇒ a_2_0 = 1048576

Therefore , the first term is 2 and the 20th term is 1048576 .

8 0
4 years ago
What is greater √2 or 1.8
seropon [69]
The correct answer would be 1.8 because the square root of 2 is 1.4...
3 0
3 years ago
Plssssssssssssssssss hellllllllllp meeeee
Mila [183]

Answer:4b+5=1+5b

Step-by-step explanation: b= 14b I HOPE THIS HELPS AND HAVE A GOOD DAY!!!! And i really do hope this did help.

3 0
3 years ago
There are 20 students at lunch. One-fifth of the student are in the hall. How many people are in the hall
SashulF [63]
There are 4 people in the hall
6 0
3 years ago
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