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3 years ago

A customer bought a car and paid $1,080 in sales tax. The sales tax rate is 6%. What was the price of the car before the tax?

Mathematics

1 answer:

Tom [10]3 years ago

6 0

The car price before tax is 18,000 dollars

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A triangle has two angles that measure 18.6 degrees and 113.4 degrees respectively. what is the measure of the third angle?

spin [16.1K]

Answer:

$x = 48$

Step-by-step explanation:

$18.6 + 113.4 + x = 180$

$132 + x = 180$

$x = 180 - 132$

$x = 48$

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3 years ago

Urgent please help no trolls!!!

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Step-by-step explanation:

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3 years ago

Find the student’s error in solving the following inequality.

Volgvan

31 < -5x + 6
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3 years ago

Read 2 more answers

Let v = (v1, v2) be a vector in R2. Show that (v2, −v1) is orthogonal to v, and use this fact to find two unit vectors orthogona

andrey2020 [161]

Answer:

a. v.v' = v₁v₂ - v₁v₂ = 0 b. (20, -21)/29 and (-20,21)/29

Step-by-step explanation:

a. For two vectors a, b to be orthogonal, their dot product is zero. That is a.b = 0.

Given v = (v₁, v₂) = v₁i + v₂j and v' = (v₂, -v₁) = v₂i - v₁j, we need to show that v.v' = 0

So, v.v' = (v₁i + v₂j).(v₂i - v₁j)

= v₁i.v₂i + v₁i.(- v₁j) + v₂j.v₂i + v₂j.(- v₁j)

= v₁v₂i.i - v₁v₁i.j + v₂v₂j.i - v₂v₁j.j

i.i = 1, i.j = 0, j.i = 0 and j.j = 1

So, v.v' = v₁v₂i.i - v₁v₁i.j + v₂v₂j.i - v₂v₁j.j

= v₁v₂ × 1 - v₁v₁ × 0 + v₂v₂ × 0 - v₂v₁ × 1

= v₁v₂ - v₂v₁

= v₁v₂ - v₁v₂ = 0

So, v.v' = 0

b. Now a vector orthogonal to the vector v = (21,20) is v' = (20,-21).

So the first unit vector is thus a = v'/║v'║ = (20, -21)/√[20² + (-21)²] = (20, -21)/√[400 + 441] = (20, -21)/√841 = (20, -21)/29.

A unit vector perpendicular to a and parallel to v is b = (-21, -20)/29. Another unit vector perpendicular to b, parallel to a and perpendicular to v is thus a' = (-20,-(-21))/29 = (-20,21)/29

8 0

3 years ago

Can you help me get the answer I’m just not sure if I’m right

zhenek [66]

Answer:

430 $in^{2}$

Step-by-step explanation:

To find the area, use the area for a parallelogram formula:

A = bh, where A is the area, b is the length of the base, and c is the height of the parallelogram.

Next, substitute the values of the base and height:

A = 20in. * 21.5 in.

Finally, simplify the multiplication:

A = 430 $in^{2}$

7 0

3 years ago