Answer:
35.0 cm (to 3 significant figures)
Step-by-step explanation:
Circumference of a circle = 2d (where d is the diameter).
Since the rectangle is inscribed in the circle (all 4 vertex touch, but not intersect, the circumference of the circle), we can see that the diameter of the circle is in fact the diagonal of the rectangle.
Therefore, to calculate the circumference we need to find the diagonal of the rectangle and plug it into the above formula.
To find the diagonal, we use Pythagoras' Theorem a² + b² = c² (where a and b are the legs, and c is the hypotenuse of a right angled triangle).
From inspection, the diagram has given us the lengths of the legs as 9cm and 15cm. So:
9² + 15² = c²
81 + 225 = c²
306 = c²
c = √306 = 3√34
Therefore, the diameter of the circle = 3√34 cm
Circumference = 2d
= 2 x 3√34
= 6√34
= 35.0 cm (to 3 significant figures)
Answer:
5 gallons for 97.45
Step-by-step explanation:
5x21.95=109.75 which is more
Diameter 4m, radius is half,
Radius Answer: 2 m
Volume is
V = (4/3)πr³ = (4/3)π 2³ = (4/3)π(8) = (32/3) π
Answer: 32/3 (× π cubic meters)
Answer:
The length of each of the other two sides would be 3.1 cm
Step-by-step explanation:
<u><em>The options of the question are</em></u>
A. 3.1 cm
B. 3.2 cm
C. 4.2 cm
D. 6.1 cm
we know that
An isosceles triangle has two equal sides and two equal interior angles
Let
x -----> the length of each of the two equal sides in the isosceles triangle
The perimeter of one isosceles triangle is equal to
Remember that
To maximize the use of the wire, the perimeter of 6 earrings (3 pairs of earrings) must be equal to 50 cm
so
Solve for x
therefore
The length of each of the other two sides would be 3.1 cm
