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WARRIOR [948]
3 years ago
12

How do I solve -5 - (15y - 1) = 2 (7y - 16) - y

Mathematics
1 answer:
Aleks [24]3 years ago
6 0
If you want to solve the equation -5 - (15 * y - 1) = 2 * (7 * y - 16) - y, you can calculate this using the following steps:

-5 - (15 * y - 1) = 2 * (7 * y - 16) - y
-5 - 15 * y + 1 = 14 * y - 32 - y
-5 + 1 + 32 = 14 * y - y + 15 * y
28 = 28 * y    /28
y = 1

The result is 1.
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Solve for x on [0, 2pi]
cluponka [151]

The required solution to the trigonometry equation is x = π/4 + π n.

The equation of trigonometry functions is given in the question as

secx - cscx = 0

We have to determine the solution to the given equation

As per the question, we have

⇒ secx - cscx = 0

⇒ 1/cosx - 1/sinx = 0

⇒ (-cosx + sinx)/cosxsinx = 0

Using property : f(x)/g(x) = 0 ⇒ f(x) = 0

⇒ -cosx + sinx = 0

Divided by cosx into the equation,

⇒ -1 + tanx = 0

⇒ tanx  = 1

The general solution for tan tanx  = 1 is

⇒ x = π/4 + π n

Learn more about Trigonometric functions here:

brainly.com/question/6904750

#SPJ1

8 0
1 year ago
Pretty Pavers company is installing a driveway. Below is a diagram of the driveway they are
prohojiy [21]

Answer:

The most correct option is;

(B) 958.2 ft.²

Step-by-step explanation:

From the question, the dimension of each square = 3 ft.²

Therefore, the length of the sides of the square = √3 ft.

Based on the above dimensions, the dimension of the small semicircle is found by counting the number of square sides ti subtends as follows;

The dimension of the diameter of the small semicircle = 10·√3

Radius of the small semicircle = Diameter/2 = 10·√3/2 = 5·√3

Area of the small semicircle = (π·r²)/2 = (π×(5·√3)²)/2 = 117.81 ft.²

Similarly;

The dimension of the diameter of the large semicircle = 10·√3 + 2 × 6 × √3

∴ The dimension of the diameter of the large semicircle = 22·√3

Radius of the large semicircle = Diameter/2 = 22·√3/2 = 11·√3

Area of the large semicircle = (π·r²)/2 = (π×(11·√3)²)/2 = 570.2 ft.²

Area of rectangle = 11·√3 × 17·√3 = 561

Area, A of large semicircle cutting into the rectangle is found as follows;

A_{(segment \, of \, semicircle)} = \frac{1}{4} \times (\theta - sin\theta) \times r^2

Where:

\theta = 2\times tan^{-1}( \frac{The \, number \, of  \, vertical  \, squrare  \, sides  \ cut  \,  by  \  the  \  large  \,  semicircle}{The \, number \, of  \, horizontal \, squrare  \, sides  \ cut  \,  by  \  the  \  large  \,  semicircle} )

\therefore \theta = 2\times tan^{-1}( \frac{10\cdot \sqrt{3} }{5\cdot \sqrt{3}} ) = 2.214

Hence;

A_{(segment \, of \, semicircle)} = \frac{1}{4} \times (2.214 - sin2.214) \times (11\cdot\sqrt{3} )^2 = 128.3 \, ft^2

Therefore; t

The area covered by the pavers = 561 - 128.3 + 570.2 - 117.81 = 885.19 ft²

Therefor, the most correct option is (B) 958.2 ft.².

4 0
3 years ago
Solve x3 = 64 over 27. ±8 over 3 8 over 3 ±4 over 3 4 over 3
sp2606 [1]

<span> x =(-12-√-432)/18=(-2-2i√<span> 3 </span>)/3= -0.6667-1.1547i</span><span> x =(-12+√-432)/18=(-2+2i√<span> 3 </span>)/3= -0.6667+1.1547i</span><span> x = 4/3 = 1.333</span>
6 0
3 years ago
Write 7.65040 x10-4 power in scientific notation
gizmo_the_mogwai [7]

It's already in scientific notation form;

Answer of your question,

3x+46 = 10x-80

7x = 34

x = 4.85

5 0
4 years ago
Graph the line y=-3/4x+1
lesya [120]

Step-by-step explanation:

That is what your line should look like :)

8 0
3 years ago
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