The C of the bowl is 43.98 because C can be calculated like, C=pi×d
And pi is about 3.14, and 3.14×14 is about 43.98
Given:
Segment AC = 130 feet
Segment CD = 70 feet
I think that I'll be using the Pythagorean Theorem in finding the value of r. r will be the hypotenuse
Segment CE = (r - 70 feet)
r² = a² + b²
r² = 130² + (r-70)²
r² = 16,900 + (r-70)(r-70)
r² = 16,900 + r² - 70r - 70r + 4900
r² - r² + 140r = 16,900 + 4,900
140r = 21,800
r = 21,800/140
r = 155.71 feet
The radius of the circle is 155.71 feet.
Answer:
[4, -1]
Step-by-step explanation:
Using the Elimination Method:
3x + y = 11
5x - y = 21
__________
8x = 32
__ ___
8 8
x = 4 [Plug this back into both equations to get the y-coordinate of -1]; -1 = y
The <em>y</em>'s are already <em>additive</em><em> </em><em>inverses</em><em> </em>[result in 0], canceling each other out.
I am joyous to assist you anytime.
It would either be C or D I think.
Answer
b) A(10) = 15 + 9(-2)
<u>Explanation</u>
15, 13, 11, 9, ... This is an arithmetic sequence.
The common difference = 13 - 15 = -2
or = 9 - 11 = -2
The first term of the sequence = 15.
The nth term of an arithmetic sequence is given by:
Tn = a + (n - 1)d
∴ T₁₀ = 15 + (10 - 1)(-2)
= 15 + (9 × -2) ⇒ This is the expression you need.
= 15 + -18
= -3
