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3 years ago

Use the binomial Theorem to expand??

Mathematics

1 answer:

natita [175]3 years ago

7 0

(f+3)^5

(5/0)*(5/1)*(4/2)*(3/3)*(2/4)*(1/5) so the coefficients are:

1,5,10,10,5,1

1*f^5+5f^4*3+10f^3*9+10f^2*27+5f*81+243

f^5+15f^4+90f^3+270f^2+405f+243

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Solve for the approximate measure of angle C. 38.66 36.87 53.13 51.34

Elis [28]

Answer:

m<C = 36.87degrees

Step-by-step explanation:

Solve for the approximate measure of angle C.

From the given diagram;

AC is the hypotenuse

BC is adjacent to <C

Cos m<C = adj/hyp

Cos m<C = BC/AC

Cos m<C = 20/25

Cos m<C = 0.8

m<C = arccos (0.8)

m<C = 36.87degrees

8 0

2 years ago

The sum of 7 and three times a number is at least 13

Yuki888 [10]

Answer:

7 + 3x ≥ 13

Step-by-step explanation:

The best way to write this is to truly understand what each of the terms mean. The sum means that multiple terms are added together, which means that 7 and 3 times a number will be added together.

Next, the term three times a number just means 3x. So as of now, we have 7 and 3x being added together.

Finally, the term at least 13 means that the 7 + 3x is greater than or equal to 13. Once everything is put together, you get a final inequality of 7 + 3x ≥ 13.

7 0

2 years ago

Find the circumference of the circle with 1/4 Pi square centimetre square 2

otez555 [7]

Answer:

The circumference of the circle is 6 cm (approximately).

Step-by-step explanation:

Given:

Area of the circle = 1/4π²

Now, to get the circumference of the circle we need the radius.

So, finding the radius by putting the formula of area:

Area = $\pi r^{2}$

$\frac{1}{4} \pi ^{2}$ = $\pi r^{2}$

dividing π by both sides:

$\frac{1}{4}\pi$ $=r^{2}$

using square root on both the sides:

$\frac{1}{2}\sqrt{\pi } = r$

So, the radius is $\frac{1}{2}\sqrt{\pi }$

Now, putting the formula of circumference:

$circumference=2\pi r$

= $2\pi\frac{1}{2} \sqrt{\pi}$

= $\pi \sqrt{\pi}$

putting the value of π =3.14

= $3.14\times\sqrt{3.14}$

= $3.14\times1.77$

= $5.56$

Circumference = 5.56 cm

Therefore, the circumference of the circle is 6 cm (approximately).

4 0

2 years ago

How many ways can Marie choose 2 pizza toppings from a menu of 6 toppings if each topping can only be chosen once?

m_a_m_a [10]

Answer:

30 different ways

Step-by-step explanation:

for the first topping she can choose 1 of 6 items

so she has 6 choices

and then the second topping she has 5 choices as each topping can only be chosen once

so it comes 6 * 5 = 30

5 0

2 years ago

Given a regular decagon, find the measures of the angles formed by (

Sonja [21]

A decagon has 10 sides (think decade and decathlon). From the center of the decagon we draw the radii and in doing so we take the area of the decagon and divide it into 10 congruent Triangles.

The angles around the center add up to 360 because they form a circle and since there are 10, they each measure 36 degrees. So the answer to the first part (the angle between the radii) is 36 degrees.

Each of these triangles has two equal sides (both radii) so is Isosceles. That means that the base angles are congruent. So the two angles that are left in each triangle must measure the same. Since the angles in a triangle add up to 180 degrees, we know that the two remaining angles are together equal to 180-36=144 degrees. Since they are equal in measure they each measure 72 degrees.

Thus the answer to the second part, trhe measure of the angle between a radius and the side of the polygon is 72 degrees.

3 0

3 years ago