7,14,21,28,35,42 ......................
The height of a rectangular pyramid is 30 cm.
volume of rectangular pyramid = (length x width x height) / 3
Given:
Volume = 900 cm³
Length = 10 cm
Width = 9 cm
Height = ?
V = lwh/3
900 cm³ = (10cm * 9cm * h)/3
900 cm³ * 3 = (90cm² * h)/3 * 3
2700 cm³ = 90cm² * h
2700 cm³/90cm² = 90cm² * h/90 cm²
30 cm = h
to check:
900 cm³ = (10 cm * 9 cm * 30 cm)/3
900 cm³ = 2700 cm³/3
900 cm³ = 900 cm³
By simplifying the number given which is 8 2/3, we get an improper fraction of 26/3. Also, when we try to divide 26 by 3, we get an answer of 8.6667, with 6 as a repeating number after the decimal place. Therefore, this number is an example of real and rational number. Thus the answer is the second choice.
Answer:
Step-by-step explanation:
<u>Given</u>
- Monthly payment P = $300
- Time t = 3 years = 36 months
- Number of payments n = 36
- Interest rate r = 12% PA = 1% per month = 0.01 times
<u>Use loan payment formula:</u>
- P = r(PV) / (1 - (1 + r)⁻ⁿ),
- where P- monthly payment, PV - present value (amount of the loan), r -rate of interest, n- number of payments
<u>Substitute values and solve for PV:</u>
- 300 = (0.01*PV) / (1 - (1 + 0.01)⁻³⁶)
- PV = 300*(1 - 1.01⁻³⁶ )/ 0.01
- PV = 9032.25 ≈ $9000 (rounded to the nearest hundred dollars)
Answer:
The circumference of the cookie is 37.68 inches.
Step-by-step explanation:
We have,
The area of a cookie is 113.04 square inches.
It is circular in shape. The area of circle is given by :
r is radius of circle
The circumference of circular shaped object is given by :
So, the circumference of the cookie is 37.68 inches.
