Answer:
x = 10.3 in
Step-by-step explanation:
To find the value of a, use the area formula for a triangle. The formula is A = 1/2 *b*h. Here b = x and h= x. The formula becomes A = 1/2 *x². Substitute A = 53 and solve for x by using inverse operations.
A = 1/2x²
53 = 1/2x²
106 = x²
√106 = x
10.3 = x
Answer: Close. Your observation is correct. When you see that the difference between two numbers in the sequence is a perfect square, you are looking at a pyramidal sequence
1² = <u>1 </u> top of pyramid
1 + 2² = <u>5</u> total in top 2 layers
1 + 2² + 3² = <u>14</u> total in top 3 layers
1 + 2² + 3² + 4² = <u>30</u> total in the top 4 layers.
1 + 2² + 3² + 4² + 5² = <u>55</u> total in the top 5 layers.
Layer 6 is 6² more, 91
Layer 7 is 7² more so, 140
I think you got it.
Step-by-step explanation: The numbers are like when you keep adding the layers in a pyramid, and the next number is the total of the previous layers plus the square of the next layer number.
<u>Answer:</u>
- Colin will have $2365 after 3 years.
<u>Step-by-step explanation:</u>
<u>Using PRT/100, we can find the interest and then sum it up with the principle amount.</u>
- => 2200 x 2.5 x 3/100 = Interest
- => 22 x 2.5 x 3 = Interest
- => 55 x 3 = Interest
- => 165 = Interest
- => 2200 + 165 = Total amount
- => $2365
Hence, <u>Colin will have $2365 after 3 years.</u>
Hoped this helped.
It's 45 because they are congruent. If the vertex is in the center of a circle then the angle and the arc are congruent
