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:
d) x-intercepts are –3 and –5; vertex is (–4, 1)
Step-by-step explanation:
parabola are the vertex findings -4
we find these using formula m +n / 2
m+ n = -3 -5 / 2 = -4
m+n / 2 = -8/2 = -4
xv = -4
plug in -4 to find yv
(x+5)
(-4 + 5)
yv = 1
Hello there!
So the equation I would use for this word problem is 3(s+5)=45.
3s+15=45
-15 -15
__________
3s=30
Divide 3 from both sides.
s ends up equaling 1.
Each stuffed animal elephant cost $10
Given:
The sequence formula;
Tn = 4.5n - 8 (Where n = term number)
Required:
15th term = ?
Procedure:
All you need to do is use n = 15
T15 = 4.5(15) - 8
T15 = 59.5
Conclusion:
The 15th term of the sequence is 59.5.
