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Gekata [30.6K]
3 years ago
11

Please help with this simple trig problem- angle of two sectors of a circle

Mathematics
1 answer:
igomit [66]3 years ago
4 0

Answer:

  K = (1/2)r^2(sin(θ) +θ)

Step-by-step explanation:

The area of the triangle to the left is ...

  A1 = (1/2)r^2·sin(180°-θ) = (1/2)r^2·sin(θ)

The area of the sector to the right is ...

  A2 = (1/2)r^2θ

so the total area of the blue shaded region is ...

  K = A1 + A2 = (1/2)r^2·sin(θ) + (1/2)r^2·θ

  K = (1/2)r^2(sin(θ) +θ)

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Help ASAP! And explain!
stich3 [128]

Answer:

Option (2)

Step-by-step explanation:

Given:

AC is an angle bisector of ∠DAB and ∠DAB

m∠BCA ≅ m∠DCA

m∠BAC ≅ m∠DAC

To Prove:

ΔABC ≅ ΔADC

Solution:

               Statements                                  Reasons

1). m∠BCA ≅ m∠DCA                            1). Given

2). m∠BAC ≅ m∠DAC                           2). Given

3). AC ≅ AC                                            3). Reflexive property

4). ΔABC ≅ ΔADC                                 4). ASA property of congruence

Therefore, Option (2) will be the correct option.

4 0
2 years ago
Why do you divide by 60 after calculating the area of the trapezoid (to calculate the distance)? I got 900 but I don’t know why
Free_Kalibri [48]

Answer:

Step-by-step explanation:

What you are trying to do is a nice way to solve this problem. Without knowing any physics, you are using what math you know to get the answer. You are actually very close to being correct, and you are right. You do have to divide by 60.

Here's why and it is the one bit of physics you have to know.

The speed is km/hour. That word hour is the culprit. Your time is in minutes and you have to get it into hours. In physics, the units have to be consistent.

So ...

b1 = 19 minutes which is 19 min [1 hour / 60 minutes] = 19/60 = 0.31667 hour

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h = 40 km/hour

Area = (0.31667 hour + 0.4333 hour)*40 km/hour /2

Area = 0.75 hour * 40 km/hr //2

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3 years ago
Area of Circles - Item 20636
Dennis_Churaev [7]
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7 0
3 years ago
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6 0
2 years ago
Read 2 more answers
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sukhopar [10]

Answer:

(3,4)

Step-by-step explanation:

(6-3)(-4(--)+3)

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