Answer:
9.48
Step-by-step explanation:
Complete question
<em>A stainless steel patio heater is a square pyramid. The length of one side of the base is 89.6 The slant height of the pyramid 90.1. What is the height of the pyramid?</em>
To get the height of the pyramid, we will use pythagoras theorem.
slant height l is the hypotenuse
length of the base is the adjacent
height of the pyramid is the opposite
According to the theorem;
l² = h² + b²
90.1² = h² + 89.6²
8,118.01 = <em>h²+</em>8,028.16
h²= 8,118.01 - 8,028.16
h² = 89.85
h =√89.85
h = 9.48
Hence the height of the pyramid will be 9.48
<em>Note that the value of the slant height was assumed to solve the problem</em>.
The absolute value would be 18 !
Number 1 = 17
number 2 = 72
number 3 = 24
work:
the three numbers are symbolized as x, y, and z
x + y + z = 113
number 2 (y) is 3 times the third number (z) so
y = 3z
so x + 3z + z = 113
the first number (x) is 7 less than than the third number (z) so
x = z - 7
so z -7 + 3z + z = 113
5z - 7 = 113
5z = 120
z = 24
x = 17
y = 72
Hope this helped :)
Answer:
$5599.20
Step-by-step explanation:
The quarterly interest rate for the first two years was ...
7%/4 = 0.0175
So, the multiplier each quarter for those 8 quarters was 1+0.0175 = 1.0175. At the end of the first 8 quarters, the account value had been multiplied by ...
1.0175^8
For the next 8 quarters, the quarterly interest rate was 10%/4 = 0.025. So at the end of those 8 quarters, the balance had been multiplied by ...
1.025^8
Then the balance at the end of 4 years was ...
$4000(1.0175^8)(1.025^8) ≈ $5599.20
The balance was $5599.20.
When they're all distributed and simplified they both equal 6x+12
