Answer:
C and A
Step-by-step explanation:
Part 1.
The area of a trapezoid is base 1 + base 2 divided by 2 times height.
Base 1 is 38, base 2 is 14, and the height is 16.
38 + 14 = 52, 52 / 2 = 26, and 26 x 16 = 416.
The answer is C, 416.
Part 2.
The area of a kite is diagonal 1 times diagonal 2 divided by 2. The length of diagonal 1 is 12 (on the left) + 12 (on the right) = 24. The length of diagonal 2 is 10 (on the top) + 18 (on the bottom) = 28.
28 x 24 / 2 = 336.
The answer is A, 336
Answer: 6/7
Step-by-step explanation: Since the Greatest common factor of 84 and 98 is 14, you divide both sides of 84/98 by 14 to get 6/7
The length of the radius of the cylinder is 2 units.
The lateral surface area of a cylinder = <span>
2πrh</span>
where, r = base radius
h = height of cylinder
Now, height of cylinder = 2r units
⇒ 16 π = 2×π×r×<span>h
</span>⇒ 16 π = 2×π×r×2r
⇒
= 4
⇒ r = 2 units
Thus, radius is 2 units.
Placing the equation of the circle in standard-form, the correct statements are given as follows:
- The radius of the circle is 3 units.
- The center of the circle lies on the x-axis.
- The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
<h3>What is the equation of a circle?</h3>
The equation of a circle of center and radius r is given by:
In this problem, the equation is:
x² + y² - 2x - 8 = 0.
In standard-form:
x² - 2x + y² = 8
(x - 1)² + y² = 8 + 1²
(x - 1)² + y² = 9
Center of (1,0), on the x-axis, radius of 3, hence the correct statements are:
- The radius of the circle is 3 units.
- The center of the circle lies on the x-axis.
- The radius of this circle is the same as the radius of the circle whose equation is x² + y² = 9.
More can be learned about the equation of a circle at brainly.com/question/24307696
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