Answer:
Diameter = 7
Radius = 3.5
Step-by-step explanation:
Hi! Ace here.
So, the formula to find circumference is dπ or 2rπ
So to find the diameter, you do the circumference/π
To find the radius, you'd do the circumference/2π
Plug-in those numbers and there you go!
Hope this helps, let me know if you have any questions.
I know this was a very vague explanation so I encourage you to ask any questions. Thank you!
The van will need 25 gallons of gas for it to travel 550 miles. This is calculated by dividing 10 gallons to 220 miles to get the miles per gallons, which in this case is 22 miles per gallon. Then we have to divide 550 miles by 22 miles per gallon to get the total gas consumption, which is 25 gallons.
The value of <em>x</em> where by exterior angles theorem, ∠DCO equals 2·x, 69° equals the sum of ∠DCO and x° is <em>x </em>= 23°
<h3>What is the exterior angles theorem?</h3>
The exterior angles theorem states that the exterior angle of a triangle is equal to the sum of the opposite interior angles.
The given parameters are;
Points on the circle are; ABCD
Straight lines = AOBE and DCE
Segment CO = Segment CE
∠AOD = 69°
∠CEO = x°
∠OCD = ∠ODC base angles of isosceles triangle
69° = ∠x° + ∠ODC exterior angle of a triangle
∠DOC = 180 - 2×∠ODC (Angle sum property of a triangle)
180 - 2×∠ODC + x° + 69° = 180° (Sum of angles on a straight line are supplementary)
x° + 69° - 2×∠ODC = 0
∠ODC = 2·x° (exterior angle of a triangle is equal to the sum of the opposite interior angles)
69° = x° + ∠ODC = x° + 2·x° = 3·x° (substitution property of equality)
69° = 3·x°
x = 69° ÷ 3 = 23°
Learn more about angles in a triangle here:
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Answer:
C. x = 6.0
Step-by-step explanation:
If you use the Pythagorean Theorem, you'll see that x^2 + 5^2 = 8^2. That'll simplify down to
x^2 + 25 = 64. Then you subtract 25 from 64 and that'll give you 39. You then have to find what √39 is and that is 6.244, so that is 6.0 simplified to the nearest tenth.
Answer: The answer for 1. is 216
The answer for 2. is 224
The answer for 3. is 90
The answer for 4. is 40
The answer for 5. should be 80
Step-by-step explanation: