Answer:
Step-by-step explanation:
Nice summary problem.
<AEC
- AEC = 360 - 243.5 = 116.5
- The number of degrees in 1 rotation of a circle = 360o. You have accounted for 243.5 degrees. What is left over is the answer.
<EAD and <ECD
Both of these are tangents to a circle. Tangents meet radii at 90 degree angles.
<EAD = <ECD = 90 degrees
<ABC
<ABC is 1/2 the central angle. The Central angle is <AEC
- < AEC = 116.5
- <ABC = 1/2 * 116.5
- <ABC = 58.25
<ADC
There are 2 ways of doing this. You should know both of them.
<em><u>One</u></em>
All quadrilaterals = 360 degrees. You know three of the angles. You should be able to find ADC
- <ADC + 90 + 90 + 116.5 = 360 Add the four angles together.
- <ADC + 296.5 = 360 Combine terms on the left
- <ADC = 360 - 296.5 Subtract 238.25 from both sides
- <ADC = 63.5 Answer
<em><u>Method Two</u></em>
<ADC = 1/2 (major Arc - Minor Arc) This formula is fundamental to circle / tangent properties. The Major arc is the larger of the two parts of the circumference of a circle. The Minor arc is the smaller.
- <ADC = 1/2(243.5 - 116.5)
- <ADC = 1/2(127)
- <ADC = 63.5
Answer:
The answer is 41
Step-by-step explanation:
400 = 900 + 625 - 1500 cos x
400 - 1525 = -1500 cos x
-1125 = -1500 cos
cos x = -1125/-1500
x = cos⁻¹ 0.75
x = 41.409622109
x ≈ 41°
Answer:
Carlos rode further than on Saturday by 107/56 miles.
Step-by-step explanation:
i did the quiz lol
Answer:
Height: 6 feet, Length: 14 feet, Width: 35 feet.
Step-by-step explanation:
The volume of a rectangular prism is length * width * height.
We know that the height of the pool is 6 feet and that one side is 2.5 times longer than the other. It doesn't matter which side, as long it's not the height. So let's just say the width is 2.5 times bigger than the length.
That means our equation can be rewritten as V = height * length* 2.5 * length.
Plugging in what we know, we get:
Now we need to find the width.
Note that there are 24 hours in 1 day, and 60 minutes in 1 hour
First, multiply 25 with 24
25 x 24 = 600
Next, add 600 with 9 hours
600 + 9 = 690
Note that there are 60 minutes in 1 hour. Divide 7 minutes with 60
7/60 = ~0.12 (rounded)
~690.12 hours is your answer
hope this helps
