Answer:
The other diagonal measures 21m
Step-by-step explanation:
In this question, we are tasked with calculating the length of the second diagonal of as Rhombus given the measure of the surface area of the rhombus and the length of the other diagonal
Mathematically, for a rhombus having two diagonals 
and 
, the area of the rhombus can be calculated mathematically using the formula below;
A = 1/2 × ×
From the question, we can identify that A = 157.5
and = 15m
we input these in the formula;
157.5 = 1/2 × 15 ×
315 = 15
= 315/15
= 21m
Quadratic function ( in standard form ):
y = a x² + b x + c
x = 0:
635 = 0 + 0 + c
c = 635
x = 1:
644 = a + b + 635
a + b = 9
x = 2:
719 = 4 a + 2 b + 635
4 a + 2 b = 84
and now we have a system:
a + b = 9 / * ( - 2 )
4 a + 2 b = 84
-------------------------
- 2 a + 2 b = - 18
+
4 a + 2 b = 84
-------------------------
2 a = 66
a = 33; b = - 24;
Function is:
f ( x ) = 33 x² - 24 x + 635
f ( 8 ) = 33 * 64 - 24 * 8 + 635 = 2,112 - 192 + 635 = 2,555
Answer: The number of waterfowl on week 8 would be 2,555.
Answer:
Step-by-step explanation:
<u>The Volume of Rectangular Prism</u>
Given a rectangular prism of dimensions W, L, and H, its volume is the product of the three dimensions:
V = WLH
The figure shows the dimensions:
L=3 cm
Thus, the volume is:
Simplifying:
Answer:
14 1/8 feet by 18 3/8.
Step-by-step explanation:
I took 1 5/8 feet and added it to both...
