Using the
solver function of the calculator, we can find the roots of the polynomial.
x1
= 9.72484
x2 = −5.36242+8.74882i
x3 = −5.36242−8.74882i
<span>
Since
dimension cannot be imaginary, therefore the height of the cylindrical hole is
9.72 mm.
Calculating
for radius r:
r
= 9.72 mm – 8 mm
r
= 1.72 mm
The
volume of cylinder is given as:
V
= π r^2 h
V
= π (1.72)^2 (9.72)
<span>V
= 90.34 mm^3</span></span>
Answer:
Step-by-step explanation:
The <u>total area</u> of the circle is given by:
where 
is a constant 
and 
is the radius: 
Thus the total area of this circle is:
We want only the area of the arc that measures 50°. For this we must remember that the arc of the total circle is 360°.
Thus, we want 50° out of the 360° degrees in the circle. For this, we divide the total area by 360 and then we multiply by 50:
the area of the sector to the nearest tenth is
<u><em>1- Writing the system of equations:</em></u>
The price of a cup of coffee is denoted by c while the price of a spaghetti is denoted by s
<u>We are given that:</u>
4 cups of coffee and 6 spaghetti cost $20.5
<u>This means that:</u>
4c + 6s = 20.5 ................> equation 1
<u>We are also given that:</u>
1 cup of coffee and 3 spaghetti cost $8.75
<u>This means that:</u>
c + 3s = 8.75 .................> equation 2
<em><u>2- Solving the equations using substitution methods:</u></em>
<u>From equation 2:</u>
c = 8.75 - 3s ................> I
<u>Substitute with I in equation 1 and solve for s as follows:</u>
4c + 6s = 20.5
4(8.75 - 3s) + 6s = 20.5
35 - 12s + 6s = 20.5
35 - 6s = 20.5
6s = 14.5
s = $2.41667
<u>Substitute with s in I to get c:</u>
c = 8.75 - 3s
c = 8.75 - 3(2.41667) = 1.4999 = $1.5
<u><em>3- getting price for 1 cup of coffee and 1 spaghetti:</em></u>
c + s = 1.5 + 2.41667 = $3.91667
Hope this helps :)
Answer:
yes
Step-by-step explanation:
Use Multiplication.
The total cost of paving is 2176.
