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3 years ago

If the arc length of a sector in the unit circle is 3 radians, what is the measure of the angle of the sector?

Mathematics

1 answer:

Julli [10]3 years ago

5 0

3 radians because of the formula S = θr. hope this helps

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The radius of a sphere is 3 inches. Which represents the volume of the sphere?

jok3333 [9.3K]

Answer:

this is the formula for a volume of a sphere

4 /3*π*r^3 so plug in the radius

4/3*3.14*3^3=

4/3=1.33333333

1.333*3.14=4.186666562‬

4.186666562‬*3^3=113

the volume of the sphere is 113

Step-by-step explanation:

7 0

2 years ago

Prove that a triangle with the sides a - 1 cm to root under a

vivado [14]

Question is Incomplete, Complete question is given below.

Prove that a triangle with the sides (a − 1) cm, 2√a cm and (a + 1) cm is a right angled triangle.

Answer:

∆ABC is right angled triangle with right angle at B.

Step-by-step explanation:

Given : Triangle having sides (a - 1) cm, 2√a and (a + 1) cm.

We need to prove that triangle is the right angled triangle.

Let the triangle be denoted by Δ ABC with side as;

AB = (a - 1) cm

BC = (2√ a) cm

CA = (a + 1) cm

Hence,

${AB}^2 = (a -1)^2$

Now We know that

$(a- b)^2 = a^2+b^2 - 2ab$

So;

${AB}^2= a^2 + 1^2 -2\times a \times1$

${AB}^2 = a^2 + 1 -2a$

Now;

${BC}^2 = (2\sqrt{a})^2= 4a$

Also;

${CA}^2 = (a + 1)^2$

Now We know that

$(a+ b)^2 = a^2+b^2 + 2ab$

${CA}^2= a^2 + 1^2 +2\times a \times1$

${CA}^2 = a^2 + 1 +2a$

${CA}^2 = AB^2 + BC^2$

[By Pythagoras theorem]

$a^2 + 1 +2a = a^2 + 1 - 2a + 4a\\\\a^2 + 1 +2a= a^2 + 1 +2a$

Hence, ${CA}^2 = AB^2 + BC^2$

Now In right angled triangle the sum of square of two sides of triangle is equal to square of the third side.

This proves that ∆ABC is right angled triangle with right angle at B.

4 0

3 years ago

15 points, no messing around, please do it right

cupoosta [38]

Answer:

416 is your answer!!!

Step-by-step explanation:

mak me brainliest and add me as a fiend

8 0

2 years ago

20 Points:

belka [17]

Answer:

D. 105 students and 150 guests

Step-by-step explanation:

105 students and $1 for each ticket is $105.(105 x 1 = 105)

150 guests and $5 for each ticket is $750.(150 x 5 =750)

$105 + $750 = $855

6 0

2 years ago

Read 2 more answers

81 is 45% of what number

andrew-mc [135]

81 is 45% of 180, all you do is divide 81 by .45 and boom there you go

8 0

3 years ago