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PIT_PIT [208]
3 years ago
15

If ,. The volume of tetrahedron whose three adjacent sides are represented by vectors is, where means angle between.

Mathematics
1 answer:
marissa [1.9K]3 years ago
6 0

Answer:Given | a⃗ | = | c⃗ | = | c⃗ | = 2 Angle between a⃗ and b⃗ is pi3 a⃗·b⃗ = | a⃗ | | b⃗ |co

Step-by-step explanation:

You might be interested in
A baker, in 70 minutes, iced 40 cupcakes and, in 49 minutes, iced 28 cupcakes. What is the constant of proportionality?
Zinaida [17]

Answer:

\frac{4}{7}

Step-by-step explanation:

The constant of proportionality is the slope of the line joining the two points

(70,40) and (49,28).

Recall the slope formula:

m =  \frac{ y_2 -  y_1 }{ x_2 - x_1}

We substitute the point to get:

m =  \frac{28 - 40}{49 - 70}  =  \frac{ - 12}{ - 21}  =  \frac{4}{7}

<u>Alternatively</u>:

A proportional relation is given by

y = kx

where k is the constant of proportionality.

Using any point, we substitute and solve for k.

40 = 70k

k =  \frac{40}{70} = \frac{4}{7}

8 0
3 years ago
50 POINTS PLUS BRAINLIST
MAVERICK [17]

Answer:

20.

As P is the mid point so

2x + 3 = x + 7

transpose

2x - x = 7 -3

x = 4

21.

4x + 3 = 8x - 11

transpose

4x - 8x = -11 -3

-4x = -14

x = 14/4

x = 7/2

x can also be 3.5

22.

7x - 3 = 5x + 2

transpose

7x - 5x = 2 + 3

2x = 5

x = 5/2

x can also be 2.5

6 0
3 years ago
Read 2 more answers
Math please help tutor :)
Fantom [35]

Answer:

8.5

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Whoops i forgot to read the lesson :P 30 points
andriy [413]

Step-by-step explanation:

I'll do 2.

Alright,Alex let say we have factored a quadratic into two binomial, for example

(5x + 3)(6x - 4)

If we set both of those equal to zero

(5x + 3)(6x + 4) = 0

We can used the zero product property in this case to find the roots of the quadratic equation.

This means that

if  \: ab = 0 \: then \: a = 0 \: and \: b = 0

This means we set each binomal equal to zero to find it root.

5x + 3 = 0

5x =  - 3

x =  -  \frac{3}{5}

6x + 4 = 0

6x =  - 4

x =  -  \frac{2}{3}

So our roots are negative 3/5 and negative 2/3 using zero product property

6 0
3 years ago
Write a single transformation that maps ABC onto A' B' C'
blsea [12.9K]

9514 1404 393

Answer:

  Either of ...

  • (x, y) ⇒ (-x, -y)
  • Rotation 180° about the origin

Step-by-step explanation:

There are at least two ways to express the transformation that maps each coordinate to its opposite.

  1. reflection across the origin: (x, y) ⇒ (-x,-y)

  2. rotation 180° (either direction) about the origin.

Take your pick.

4 0
3 years ago
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