Answer:
Step-by-step explanation:
<u>Given sequence:</u>
<u>This is AP with:</u>
- The first tern a₁ = - 3
- Common difference d = 3
<u>The rule for the nth term of the sequence is:</u>
<u>Substitute values:</u>
- aₙ = -3 + (n - 1)(3) =
- -3 + 3n - 3 =
- 3n - 6
Answer:
The answer to your question is: letter D
Step-by-step explanation:
First we need to find the distances between the points,
distance AB = 8 get it just by counting the points in the graph
distance AC = 9 get it just by counting the points in the graph
To know the distance BC, use the pythagorean theorem
c2 = a2 +b2
c2 = 8² + 9²
c² = 64 + 81
c² = 145
c = 12.04
Finally, perimeter = AB + AC + BC
= 8 + 9 + 12.04
= 29.04 units
Answer:
Zero Product Property
Step-by-step explanation:
The zero product property states that anything multiplied by 0 is 0.
Answer:
ok so im so confused but like you know i tried and i got this:
X years ago, the father’s age and the son’s age would be (32 - x) and (7 - x) years old.
(32 - x)(7 - x) = 116
(x - 32)(x - 7) = 116
x^2 - 39x + 224 = 116
x^2 - 39x + 108 = 0
(x - 3)(x - 36) = 0
x = 3, 36
But (32 - x) > 0, so x does not equal to 36.
x = 3
3 years ago, the father would be 29 years old, and the son 4 years old.
i know it sounds crazy but i think its wrong lol
the volume of the sculpture is 
.
<u>Step-by-step explanation:</u>
Here we have , An artist creates a cone-shaped sculpture for an art exhibit. If the sculpture is 5 feet long and has a base with a circumference of 21.980 feet, We need to find the volume of the sculpture . Let's find out:
We know that
⇒ 
According to question ,
⇒ 
⇒ 
⇒ 
Now , We know that Volume of cone :
⇒
⇒
⇒
Therefore , the volume of the sculpture is .
