All categories

2 years ago

Find the measure of CD. mCD= [?] degrees

Mathematics

1 answer:

Aloiza [94]2 years ago

7 0

Given:

A circle with radius 7 units and chord CD = 7 units.

To find:

The measure of arc CD.

Solution:

Let O be the center of the circle.

In triangle OCD,

$OC=7$ (Given)

$OC=OD=7$ (Radii of same circle)

$CD=7$ (Given)

Since $OC=CD=OD$ all sides are equal, therefore, the triangle OCD is an equilateral triangle.

Measure of each angle of an equilateral triangle is 60 degrees. So,

$m\angle COD=60^\circ$

The measure of central angle is equal to the measure of corresponding arc.

$m(arcCD)=m\angle COD$

$m(arcCD)=60^\circ$

Therefore, the measure of arc CD is 60 degrees.

You might be interested in

A transformation doubles each point's x-coordinate and leaves the point's y-coordinate intact. What will the transformation have

g100num [7]

It shouldn’t be any longer vertically so that should be your answer

7 0

3 years ago

Algebric expressions formula

Arada [10]

Answer:

a2 – b2 = (a – b)(a + b)

(a + b)2 = a2 + 2ab + b

a2 + b2 = (a + b)2 – 2ab

(a – b)2 = a2 – 2ab + b

That's all i know- rip TvT

6 0

2 years ago

8. Juan Torres had $899.58 in his bank

Step2247 [10]

D . Is the correct answer

7 0

3 years ago

The average estimated hours a person in the United States spent playing video games per year from 2002 to 2012 were 71, 80, 82,

ozzi

Answer:

Population variance 579

Population standard deviation 24

Step-by-step explanation:

The average estimated hours a person in the United States spent playing video games per year from 2002 to 2012 were 71, 80, 82, 78, 80, 91, 107, 121, 125, 131, and 142.

The population variance is given by:

$\sigma^2=\frac{\sum(x-\mu)^2}{n}$

$\mu=\frac{71+80+82+78+80+91+107+121+125+131+142}{11}$

$\mu=\frac{1108}{11}$

This implies that:

$\sigma^2=\frac{(71-\frac{1108}{11})^2+(80-\frac{1108}{11})^2+(82-\frac{1108}{11})^2+(78-\frac{1108}{11})^2+(80-\frac{1108}{11})^2+...+(142-\frac{1108}{11})^2}{11}$

$\sigma^2=\frac{70006}{121} =579$ to the nearest whole number

The population standard deviation is

$\sigma=\frac{\sqrt{70006} }{11}=24$ to the nearest whole number.

3 0

3 years ago

Read 2 more answers

What is the degree of differential equation? ?

Delicious77 [7]

Answer:

Degree = 1

Step-by-step explanation:

Given:

The differential equation is given as:

$\frac{d^2y}{dx^2}+(\frac{dy}{dx})^2+6y=0$

The given differential equation is of the order 2 as the derivative is done 2 times as evident from the first term of the differential equation.

The degree of a differential equation is the exponent of the term which is the order of the differential equation. The terms which represents the differential equation must satisfy the following points:

They must be free from fractional terms.

Shouldn't have derivatives in any fraction.

The highest order term shouldn't be exponential, logarithmic or trigonometric function.

The above differential equation doesn't involve any of the above conditions. The exponent to which the first term is raised is 1.

Therefore, the degree of the given differential equation is 1.

6 0

3 years ago