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jolli1 [7]
3 years ago
14

Solve the given equation. (Enter your answers as a comma-separated list. Let k be any integer. Round terms to two decimal places

where appropriate.)
sin(θ) = −sqrt/ 3/ 2

Mathematics
1 answer:
Leya [2.2K]3 years ago
7 0

Answer:

  θ = {(4/3 +2k)π, (5/3 +2k)π}

Step-by-step explanation:

From your knowledge of trig functions, you know that sin(60°) = sin(π/3) = (√3)/2. So, the angles of interest are in the 3rd- and 4th-quadrant and will have π/3 as their reference angle.

  θ = 4/3π +2kπ, and 5/3π +2kπ

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a 32 foot ladder is leaned against a wall. if the base of the ladder is 8 feet from the wall, how high up the wall will the ladd
Leno4ka [110]

Answer:

31 feet

Step-by-step explanation:

Given: The length of ladder, leaned against wall= 32 foot

           The base of ladder is 8 feet away from wall

Adjacent= 8 feet and Hypotenuse= 32 foot

we need to find height of wall till the ladder reach (Opposite).

We will use Pythagorean theorem; hypotenuse^{2} = adjacent^{2} +opposite^{2}

⇒32^{2} = 8^{2} +opposite^{2}

⇒1024= 64+opposite^{2}

subtracting both side by 64

⇒ Opposite^{2} = 1024-64= 960

⇒Opposite= \sqrt{960} = 30.98 ≅ 31 ft

∴ 31 ft high up the wall.

8 0
3 years ago
Four friends attend a county fair and pay $6 per ticket. Each also buys a bag of candy. If the friends spent a total of $34, how
Whitepunk [10]

Step-by-step explanation:

6×4=12

34-12=22

22÷4=c

c=$5.50

5 0
3 years ago
Read 2 more answers
A grocery store gives a 10$ gift card for every 25th customer and 20$ gift card for every 60th customer. Which customer will rec
swat32

Answer:

Number 300 client

Step-by-step explanation:

MCM of 25 and 60 is 300

6 0
3 years ago
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What is the probability that you will fail a test (pass or fail), draw a red ace, and then roll a 6?
andrey2020 [161]

Answer:

<u>0.7890176%</u>

Step-by-step explanation:

First, there is a 64% chance of failing a test.

Then there are 54 cards in a deck. There are two colors, red and black. There are two red aces and two black aces. You have a 50% chance that the card is red. Then there are 27 cards of each color. Since there are 2 aces in those 27, there is a 2/27 or ~7.4%.

Lastly there are 6 sides on a die. Each side has the same chance of landing. So this gets you 16.66%

Now we need to multiply each chance of something happening by one another

64% × 7.4% = 0.04736%

4.736% × 16.66% = 0.7890176%

So there is a 0.7890176% of all of these happening

6 0
3 years ago
What is 12ft2in = in inches
zhenek [66]
1 foot is 12 inches so 12*12=144in.
then you have to add 144+2= 146 inches
7 0
3 years ago
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