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Elan Coil [88]
3 years ago
13

Rebecca’s bank statement shows a change of -1.50 $ in her account each week how many weeks will it take before the total change

is -$12 ?
Mathematics
1 answer:
White raven [17]3 years ago
7 0
It will take 8 weeks for her bank account to be at -$12
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In a series RL circuit, ET = 120 V, R = 40 Ω, and XL = 30 Ω. How much is EL?
dezoksy [38]

Firstly, we will draw

RL series circuit

ET = 120 V, R = 40 Ω, and XL = 30 Ω

Firstly, we will find current

I=\frac{E_T}{R+jX_L}

now, we can plug values

and we get

I=\frac{120}{40+j30}

now, we can find voltage across L

E_L=IjX_L

so, we get

E_L=\frac{120}{40+j30}(j30)

now, we can find absolute value

|E_L|=120\frac{30}{\sqrt{40^2+30^2}  }

|E_L|=120\frac{30}{ 50 }

|E_L|=120\frac{3}{ 5 }

|E_L|=72V...............Answer


7 0
3 years ago
Round to the Nearest Ten
lora16 [44]

Answer:

Step-by-step explanation:

62 to the nearest ten is 60.

6 0
3 years ago
I need help with this page
scZoUnD [109]

Step-by-step explanation:

what is not clear that you cannot answer this by yourself ?

please let me know what you need explained.

1. Rhombus

2. rectangle

3. square

4. rhombus

5. square

6. rectangle

7. rhombus

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4 0
2 years ago
(High points) please solve with explanation
AysviL [449]

Answer:

The area and the perimeter of the picture are:

  • <u>Area = 160 cm^2</u>
  • <u>Perimeter = 67.31 cm</u>

Step-by-step explanation:

To find the area of that figure, you can find the area how if it was a rectangle and next subtract the area of the triangle in the upper part. The area of a rectangle could be found by the next formula:

  • Area of a rectangle = base * height

As you can see in the picture, the base is 16 cm and the height is 12 cm, then we replace in the formula:

  • Area of a rectangle = 16 cm * 12 cm
  • Area of a rectangle = 192 cm^2

Now, we calculate the area of the triangle to subtract to the area we found and obtain the real area, the formula to obtain the area of a triangle is:

  • Area of a triangle = (base * height) / 2

The height of the triangle is 8 cm, and the base is 8 cm too, because you subtract to the base of the rectangle (16 cm) the measurements in the upper part (16 - 4 - 4 = 8), Now, we replace in the formula:

  • Area of a triangle = (8 cm * 8 cm) / 2
  • Area of a triangle = (64 cm^2) / 2
  • Area of a triangle = 32 cm^2

We subtract to the found area:

  • Area of the picture = 192 cm^2 - 32 cm^2
  • <u>Area of the picture = 160 cm^2</u>

To find the perimeter, you must add all the sides of the picture, but, as you can see, there is a side that doesn't have the measurent, this is the hypotenuse of the triangle used before, but how we know the other sides, we can use Pythagorean theorem:

  • a^{2}+b^{2}=c^{2}

Where:

  • a = Opposite leg (8 cm)
  • b = Adjacent leg (8 cm)

So, we replace in the theorem:

  • a^{2}+b^{2}=c^{2}
  • (8 cm)^{2}+(8cm)^{2}=c^{2} (and we clear c)
  • \sqrt{(8 cm)^{2}+(8cm)^{2}} =c
  • \sqrt{64 cm^{2}+64cm^{2}} =c
  • \sqrt{128cm^{2}} =c
  • c = 11.3137085 cm
  • c ≅ 11.31 cm

At last, we add all the sides of the picture begining by the base and going by the left side:

  • Perimeter of the picture = 16 cm + 12 cm + 4 cm + 11.31 cm + 8 cm + 4 cm + 12 cm
  • <u>Perimeter of the picture = 67.31 cm approximately</u>.
7 0
3 years ago
Luke's bill for breakfast at a restaurant was $80. He left a 20% tip. What was the amount of
Alexandra [31]

Answer:

$16

Step-by-step explanation:

Multiply $80 dollars by 20% or .2.

You should get $16.

A tip for the future is to move the decimal point to the left twice.

ie. 60%=0.6, 175%=1.75, 3%=0.03

6 0
3 years ago
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