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Dmitry [639]
3 years ago
5

What is 8,690,000 rounded to the nearest tenth.?

Mathematics
1 answer:
Setler79 [48]3 years ago
8 0

since there is no decimal, the answer is 8,690,000.0 (the tenth place is one place after the decimal)

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Find all solutions of the equation in the interval (0,2π) <br> cot theta +root 3 = 0
Alisiya [41]

Answer:

θ = 5π/6 rad and 11π/6 rad

Step-by-step explanation:

Given the expression cotθ+√3=0

Subtract √3 from both sides

cotθ+√3-√3=0-√3

cotθ = -√3

Since cotθ = 1/tanθ

1/tanθ = -√3

Reciprocate both sides:

tanθ = -1/√3

θ = tan^-1(-1/√3)

θ = -30°

Since the angle is negative, and tanθ is negative in the second and fourth quadrant.

In the second quadrant;

θ = 180-30

θ = 150°

Since 180° = πrad

150° = 150π/180

150° = 5π/6 rad

In the fourth quadrant;

θ = 360-30

θ = 330°

Since 180° = πrad

330° = 330π/180

330° = 11π/6 rad

Hence the solutions are 5π/6 rad and 11π/6 rad.

7 0
3 years ago
you are selling pandesal to raise money for a school field trip. Pandesal with cheese cost 8.00 pesos and ube pandesal cost 9.00
Lera25 [3.4K]

Answer:

Let's define:

C = number of pandesal with cheese that you sell

U = number of pandesal with ube that you sell.

If you sell these numbers of each, the total profit you get is:

C*8.00 pesos + U*9.00 pesos.

And yo want to get at least 180 pesos, then:

C*8.00 pesos + U*9.00 pesos ≥ 180 pesos.

And you also want to sell two of each, then:

C ≥ 2

U ≥2

So the system of inequalities is:

C*8.00 pesos + U*9.00 pesos ≥ 180 pesos.

C ≥ 2

U ≥2

If U is on the x-axis, and C is on the y-axis, then the graph is: (where the region at the right of the vertical line should be shaded)

6 0
2 years ago
The length of a new rectangular playing field is 5 yards longer than double the width. if the perimeter of the playing field is
Elena L [17]
The answer is 59.6 because I divided 298 by 5
Hope this helps!!
5 0
3 years ago
In rectangle nice, the base is 2x and the height is x+1. the perimeter is 53 feet. find the height
mihalych1998 [28]
The perimeter equation for a rectangle is two times the base plus two times the height.
2B + 2H=P

Plug in the known values and solve for x.
2(2x) + 2(x+1)=53
4x+2x+2=53
6x=51
x=8.5

Now that we know what x is, put it back into the formula for the height of the rectangle to find the final answer.
H= x+1
H=8.5+1
H=9.5 ft
4 0
2 years ago
I’m supposed to find the slope intercept form. The x intercept is (2,0) and the y intercept is (0,6). I keep getting 6/2. But, t
Lilit [14]

\bf \stackrel{x-intercept}{(\stackrel{x_1}{2}~,~\stackrel{y_1}{0})}\qquad \stackrel{y-intercept}{(\stackrel{x_2}{0}~,~\stackrel{y_2}{6})} \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{6-0}{0-2}\implies \cfrac{6}{-2}\implies -3 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-0=-3(x-2)\implies y=-3x+6

5 0
2 years ago
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