Answer:
24.99 cm
Step-by-step explanation:
We are provided with the radius of the circle so we can use that to solve for the circumference(perimeter) of the circle. The formula to solve for the circumference is 2*pi*r.
2*pi*7 = 14pi = 43.98 cm
Although this is the circumference of the entire circle... To solve for the circumference of a quarter-circle we must find the quarter of that:
43.98 * 1/4 = 10.99 cm
We are already provided with the other two sides, which are both equal to 7 cm since they are radii.
Perimeter = 10.99 +7 + 7 = 24.99 cm
Hope this helps!
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:
288J
Step-by-step explanation:
recall the formula for kinetic energy
KE = (1/2) mv²
where m is the mass (= 4kg) and v is the velocity(=12 m/s)
hence
KE = (1/2) (4)(12)² = 288J
Answer:
perpendicular
Step-by-step explanation:
perpendicular if the product of their slopes is equal to -1
Parallel lines have equal or identical slopes
Answer:
16/2
Step-by-step explanation:There is a whole variety of fractions that simplify to 8, including this one. The trick is to find a numerator that is divisible by a denominator to get to 8.
