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padilas [110]
3 years ago
9

Solve the equation 2sin(x) + 1= 0

Mathematics
1 answer:
noname [10]3 years ago
8 0

Answer:

Step-by-step explanation:

+ First, we write 2sin(x) = -1 (add -1 for both sides)

Then sin(x) = -1/2 (divide both sides by 2).

+ And we know that -1/2 = sin( -pi/6)

So sin(x) = sin (-pi/6)

that implicite:

x=-\frac{\pi }{6} + 2k\pi\\x= \pi - (-\frac{\pi}{6} )+ 2k\pi= \frac{7\pi}{6} +2k\pi

Hope it useful for you.

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I need help with these 2 questions.
ahrayia [7]

Answer:

Step-by-step explanation:

6). Surface area of a triangular prism = Area of the triangular bases + (Perimeter of the triangular base)×height

Area of one triangular base = \frac{1}{2}(\text{Base})(\text{Height})

                                              = \frac{1}{2}\times 4\times 3

                                              = 6 km²

Perimeter of the triangular base = (4 + 3 + 5)

                                                      = 12 km

Height of the triangular prism = 7 km

Surface area of the given triangular prism = 2(6) + (12)(7)

                                                                      = 12 + 84

                                                                      = 96 km²

7). Surface area of a rectangular prism = 2(lb + bh + hl)

Here, l = Length, b = Width and h = Height

By substituting the values from the given question,

l = 9 in, b = 9 in, h = 4 in

Surface area of the rectangular prism = 2(9×9 + 9×4 + 4×9)

                                                               = 2(81 + 36 + 36)

                                                               = 2(153)

                                                               = 306 in²                              

7 0
3 years ago
Find the magnitude of (3,4,9)
mixas84 [53]
The answer is 5 out 5
4 0
3 years ago
Please answer this i will give brainliest asap please​
Sergio039 [100]

Answer:

{x | x<5/4}

Step-by-step explanation:

Add 2 to both sides and simplify:

4x<5

Divide both sides by 4 and simplify:

x<5/4

5 0
2 years ago
Read 2 more answers
The pH of lemon juice at 298 K is found to be 2. 32. What is the concentration of mc014-1. Jpg ions in the solution? Use StartBr
sdas [7]

The concentration of ions in the solution of lemon juice whose pH value is 2.32 is 4.79×10⁻³ M.

<h3>What is pH value?</h3>

The pH value shows that how much a solution is acidic or basic. The range of the pH value lies between the 0-14.

The pH value can be calculated with the following formula.

\rm pH=log[H^{+}]

Here, [H⁺] is the molar hydrogen ion concentration.

The pH of lemon juice at 298 K is found to be 2. 32. Put this value of pH in the above formula as,

\rm 2.32=log[H^{+}]\\\ [H^{+}]=4.79\times10^{-3} \rm \; M

Hence, the concentration of ions in the solution of lemon juice whose pH value is 2.32 is 4.79×10⁻³ M.

Learn more about the pH value here;

brainly.com/question/940314

8 0
2 years ago
You are running a fuel economy study. One of the cars you find is red. It can travel 24 4/5 miles on 4/5 gallon of gasoline. Wha
Lilit [14]

Answer:

1) 28.4 miles per gallon

2) 34 miles per gallon

3) the red car

Step-by-step explanation:

Blue car:

Travels 35 1/2 miles on 1 1/4 gallons of gasoline

Red car:

Travels 27 1/5 miles on 4/5 gallons of gasoline

We want to know the unit rate for miles per hour, and to do it we have to divide the miles they travel by the gallons each car uses:

Blue car:

(35 1/2) / (1 1/4) = 28.4 miles per gallon

Red car:

(27 1/5) / (4/5) = 34 miles per gallon

The red car travels greater distance with 1 gallon of gasoline {and thats about it!}

3 0
3 years ago
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