Answer:
a = 5
b = 1.3863
equation;
Step-by-step explanation:
In this scenario, x represents the independent variable while h(x) represents the dependent variable y.
The analysis is performed in Ms. Excel. The first step is to obtain a scatter plot of the data then finally inserting an exponential trend line to obtain the required equation.
The Ms. Excel output is shown in the attachment below. To obtain the value of a we substitute x = 0 in the equation. On the other hand, the value of b is the exponent in the equation.
Answer:
9.
10. B = 16 ft, H = 15 ft
11.
Step-by-step explanation:
<u>Area Of The Triangle
</u>
(9)
The area of a triangle of base length B and height H is
provided the base and height are perpendicular to each other
(10)
The dimensions of the given triangle are not the ones needed to compute its area. We need to calculate the height of the triangle, and we have the hypotenuse of one of the identical right triangles. To find the height, we must apply Pythagoras's theorem:
Note the length of one leg of the triangle is half the length of the base. We need to solve for H:
Thus
(11)
Now we compute the area of the triangle
Alrighty
vsphere=(4/3)pir^3
vcylinder=hpir^2
vempty=vcylinder-2vsphere
first the cylinder volume
ok, the height=2 times the diameter=2 times 2 times radius=4 times 3.75=15 cm
the radius is 3.75
v=15pi3.75^2
v=15pi14.0625
v=210.9375pi
vsphere=(4/3)pir^2
vsphere=(4/3)pi3.75^2
vsphere=(4/3)pi14.0625
vsphere=(56.25/3)pi
vsphere=18.75pi
2vsphere=37.5pi cm^3
so vcylinder-2vsphere= 210.9375pi cm^3-37.5pi cm^3=173.4375pi cm^3
using pi=3.141592
vempty=544.8698625 cm^3
about 545 cm³