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3 years ago

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:

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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