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olasank [31]
3 years ago
9

Ellie started work at 8

Mathematics
2 answers:
Vadim26 [7]3 years ago
7 0

Answer:

9.25

Step-by-step explanation:

Mumz [18]3 years ago
5 0

Answer: 9.25!

Step-by-step explanation:

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Is 9090.9 a real, imaginary, or complex number
Rudiy27

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What is Twice a number plus 4 is less then 12
sertanlavr [38]

Answer:

3

Step-by-step explanation:

3 x 2 = 6

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10<12

Hope this helps!

3 0
3 years ago
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Solve each trigonometric equation such that 0 ≤ x ≤ 2????. Round answers to three decimal places.
zlopas [31]

Answer:

a) x= arccos(3/5) = 0.927

Just one solution

b) cos(x) = -\frac{5}{3}

But we know that the cosine can't be negative so then this equation no have solutions on the reals.

c) x = arcsin(\frac{1}{3})=0.3398

This is only the solution on the interval assumed.

d) x= -0.1145

Step-by-step explanation:

a. 5 cos(x) − 3 = 0

For this case we can do this:

5 cos(x) = 3

Now we can divide both sides by 5 and we got:

cos (x) = \frac{3}{5}

If we apply arccos on both sides we got:

x = arccos (\frac{3}{5})+2\pi n, x=2\pi-arccos (\frac{3}{5})+2\pi n

So for this case the possible solution is:

x= arccos(3/5) = 0.927

Just one solution. This is only the solution on the interval assumed.

b. 3 cos(x) + 5 = 0

We can do this:

3 cos (x) = -5

Then we can divide by 3 both sides and we got:

cos(x) = -\frac{5}{3}

But we know that the cosine can't be negative so then this equation no have solutions on the reals.

c. 3 sin(x) − 1 = 0

We can do this:

3 sin(x) = 1

Then we can divide both sides by 3 and we got:

sin(x) = \frac{1}{3}

The general solutions would be:

x = arcsin(\frac{1}{3}) + 2\pi n , x= \pi -arcsin (\frac{1}{3}) + 2\pi n

x = arcsin(\frac{1}{3})=0.3398

This is only the solution on the interval assumed.

d. tan(x) = −0.115

For this case we can solve the value of x like this:

x = arctan(-0.115) +\pi n

And then the only possible solution for this case is:

x= -0.1145

3 0
3 years ago
Evan bought a rectangular doormat that is 1_2 meter long and 3__10 meter wide. What is the area, in square meters, of the doorma
Zarrin [17]

Answer:

3/20 m²

Step-by-step explanation:

Here is the complete and clear question :

Evan bought A rectangular doormat that was 1/2 a meter long and 3/10 a meter wide. What is the area, in square meters, of the doormat?

<u><em>Characteristics of a rectangle </em></u>

  1. A rectangle is a quadrilateral
  2. It has two parallel sides
  3. the diagonals of a rectangle bisect each other and they are equal in length

Area of a rectangle = length x breadth

Area of the rectangular doormat = \frac{1}{2} × \frac{3}{10} = \frac{3}{20} m²

6 0
3 years ago
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