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3 years ago

I need help with this please

SAT

1 answer:

Lesechka [4]3 years ago

3 0

Q1- Urgent / Important

Q2- Writing a paper that is due in 3 hours

(others can wait as no serious consequences but you could fail n get bad mark if you don't complete the paper. It's a deadline issue.)

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Work out the size of angle x<br> Angles <br> 50<br> 120

lbvjy [14]

Answer:

x = 70°

The external angle of a triangle is equal to the sum of the 2 opposite interior angles.

120° is an external angle of the triangle, thus

x + 50 = 120 ( subtract 50 from both sides )

x = 70

4 0

3 years ago

The density of a cube that measures 1.00 cm on each side and has a mass of 2.0g is __.

Pavlova-9 [17]

Side=1cm

$\\ \sf\longmapsto Volume=side^3=1^3=1cm^3$

Mass=2g

$\\ \sf\longmapsto Density=\dfrac{Mass}{Volume}$

$\\ \sf\longmapsto Density=\dfrac{2}{1}$

$\\ \sf\longmapsto Density=2g/cm^3$

3 0

2 years ago

What are the coefficients for the binomial expansion of (a b)3? 1, 4, 6, 4, 1 1, 1 1, 2, 1 1, 3, 3, 1

Advocard [28]

The coefficients for the binomial expansion of (a + b)³ are 1, 3, 3, 1.

We have,

The binomial expansion (a + b)³,

So,

Now,

We know that,

Formula for binomial expansion,

i.e.

(u + v)ⁿ = ⁿC₀ · uⁿ · v⁰ + ⁿC₁ · uⁿ⁻¹ · v¹ + ⁿC₂ · uⁿ⁻² · v² + ⁿC₃ · uⁿ⁻³ · v³

Now,

According to the question,

Here,

u = a,

v = b,

And, n =3

Now,

Putting values,

i.e.

(a + b)³ = ³C₀ · a³ · b⁰ + ³C₁ · a³⁻¹ · b¹ + ³C₂ · a³⁻² · b² + ³C₃ · a³⁻³ · b³

We get,

(a + b)³ = ³C₀ · a³ · b⁰ + ³C₁ · a² · b¹ + ³C₂ · a¹ · b² + ³C₃ · a⁰ · b³

Now,

Using combination formula,

$^{n} C_{r} = \frac{n!}{r!(n-r)!}$

On solving we get,

(a + b)³ = a³ + 3 a² b + 3 a b² + b³

So,

Now,

The coefficients of :

a³ = 1,

3a²b = 3,

3ab² = 3,

b³ = 1,

So,

The coefficients of the given binomial expansion are 1, 3, 3, 1.

Hence we can say that the coefficients for the binomial expansion of (a + b)³ are 1, 3, 3, 1.

Learn more about binomial expansion here

brainly.com/question/3632340

#SPJ4

4 0

2 years ago

An object is moving due north at 32m/s. does this tell you the speed or the velocity of the object, or both?

xxMikexx [17]

An object is moving due north at 32m/s. then this tells about the velocity of the object as it has the direction.

<h3>What is the difference between velocity and speed?</h3>

The immediate velocity of an item is then the value of its immediate pace. Speed tells you the way rapid. Velocity tells you the way rapid and in what route.

When you realize each velocity and route of an item's motion, you realize the speed of the item. Velocity tells us the velocity and route of a shifting item. Acceleration tells us the charge at which the pace changes.