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Evgen [1.6K]
3 years ago
5

AC is the diameter. Calculate the area of the sector (to the nearest whole number) created by ∠CDB.

Mathematics
1 answer:
TiliK225 [7]3 years ago
3 0

Area of the circle is πr² which corresponds to an angle of 360° subtended at the center. Thus, the area of a sector subtending angle \theta at the centre is:

Area= \frac{\theta}{360}\times \pi r^2

In this case put $\theta$ equal to 30°

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I just learned this today and it’s a little confusing , is there anyone that could explain how to do these problems for me ?
evablogger [386]

Step-by-step explanation:

I'll do the first problem as an example.

∠P and ∠H both have one mark.  That means they're congruent.

∠T and ∠G both have two marks.  So they're congruent.

∠W and ∠D both have three marks.  So they're congruent.

So we can write a congruence statement:

ΔPTW ≅ ΔHGD

We can write more congruence statements by rearranging the letter, provided that corresponding pairs have the same position (P is in the same place as H, etc.).  For example:

ΔWPT ≅ ΔDHG

ΔTWP ≅ ΔGDH

3 0
3 years ago
Micheal is 5 years older than Rui Feng and Vishal is thrice as old as Micheal if Rui Feng is p years old, find i) Michael's pres
Kitty [74]

Answer:

Michael's present age = p + 5

Michael's present age = 3p + 15

Sum of there ages 6 year age = 5p + 38

Sum of there ages 3 year ago = 5p - 11

Step-by-step explanation:

Assume;

Age of Rui Feng = x

Age of Micheal = x + 5

Age if Vishal = 3[x+5]

Given:

Age of Rui Feng = P

Computation:

Michael's present age = Age of Rui Feng + 5

Michael's present age = p + 5

Vishal's present age = 3[p + 5]

Michael's present age = 3p + 15

Sum of there ages 6 year age = [p + 6] + [p + 5 + 6] + 3[p + 5] + 6

Sum of there ages 6 year age = 5p + 38

Sum of there ages 3 year ago = [p - 3] + [p + 5 - 3] + 3[p + 5] - 3

Sum of there ages 3 year ago = 5p - 11

8 0
2 years ago
4. Solve the equation for the given variable. For each step. Identity the property used to convert the equation. 22x + 11 = 4x -
Andrei [34K]

Answer:

x=-1

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
What is -13=-h-7 step by step.?
Tasya [4]
We need to make h alone.
Add 7 to both sides to remove -7 from the right, and multiply both sides by -1 to make h positive. Doesn't matter which you do first.
Result:
6=h
h=6
6 0
3 years ago
Read 2 more answers
Write the equation of a line that is perpendicular to the line y= - 1/3x +8 and passes through the point (0,-4)
pantera1 [17]
The answer would be y = 3x-4
8 0
3 years ago
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