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3 years ago

The radian measure of an angle θ is the length of the

2 answers:

8 0

In Trigonometey, the radian measure of an angle theta is the length of an arc that subtends in a circle of radius having a formula of circumeference divided by 2xpi and that the ratio 2pi and the circumference over the radius is called tha radian measure.

alex41 [277]3 years ago

6 0

Answer:

Arc Length

Step-by-step explanation:

We can measure angle in two form degrees or Radian.

Radian can be described as a measure of angle subtended by a circular arc. It can be defined as the ratio of the arc length subtending angle to the radius of circle.

One radian is the measure of angle subtended by by an arc that is equal to the radius of circle.

Θ = $\frac{s}{r}$ ,

where theta is the angle subtended, s is the arc length and r is the radius of circle.

2π radians = 360 degrees.

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Anettt [7]

Answer:

133 bucks can i get brainliest

Step-by-step explanation:

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3 years ago

We have a box with eight green marbles, five red marbles, and seven blue marbles. We choose three marbles from the box at random

Salsk061 [2.6K]

Answer: 0.089

Step-by-step explanation:

Number of combinations of n things taking r at a time :-

$^nC_r=\dfrac{n!}{r!(n-r)!}$

Given : A box has eight green marbles, five red marbles, and seven blue marbles.

Total marbles = 5+8+7=20

We choose three marbles from the box at random without looking.

Number of ways to choose 3 marbles with same color :-

$^8C_3+\ ^5C_3+ ^7C_3\\\\=\dfrac{8!}{3!(8-3)!}+\dfrac{5!}{3!(5-3)!}+\dfrac{7!}{3!(7-3)!}\\\\=56+10+35=101$ (1)

Total ways to select 3 marbles from 20 marbles :-

$\dfrac{20!}{3!(20-3)!}=1140$ (2)

Now, the required probability (divide (1) by (2)):-

$\dfrac{101}{1140}=0.0885964912281\approx0.089$

Hence, the required probability : 0.089

7 0

3 years ago

What is the extracts volume of the largest cone that can fit into a cube with edges of 10 inches

Aneli [31]

Volume of a cone = π r² h/3

I envisioned a cone inside a cube. I only identified the necessary value to compute for the exact volume of the largest cone.

Edges of the cube is 10 inches. When the circle part of the cone is placed in the circle, the diameter would be 10 inches also. I divided it by 2 to get the value of the radius, resulting to 5 inches.

The height of the cone is also the height of the cube. Thus, it is 10 inches.

Volume of the cone = 3.14 * (5in)² * 10in/3
V = 3.14 * 25in² * 3.33 in
V = 261.405 in³ or 261.41 in³ VOLUME OF THE LARGEST CONE THAT CAN FIT IN A 10 INCH CUBE

4 0

3 years ago

What is the area of the composite figure?

ivolga24 [154]

Answer:

745.4 cm^2

Step-by-step explanation:

The composite figure is made up of a rectangle 25 cm by 20 cm and a semicircle of radius 12.5 cm.

We add the two areas to find the total area.

total area = area of rectangle + area of semicircle

TA = LW + (1/2)(pi)r^2

TA = (25 cm)(20 cm) + (1/2)(3.14159)(12.5 cm)^2

TA = 500 cm^2 + 245.4 cm^2

TA = 745.4 cm^2

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3 years ago

Find the area of a circle with a circumference of 3.14 units

Nadusha1986 [10]

ANSWER 0.784602

If the circumference of the circle is equal to 3.14 units, to find the area

The area of a circle can be calculated using the diameter or the radius with two different formulas: A = πr2 or A = π(d/2)2, where π is the mathematical constant approximately equal to 3.14,r is equal to the radius, and d is the diameter.

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3 years ago