We can separate this solid into two pieces: a cylinder and a cone. I will be finding the surface area's separately, then adding them together in the end.
Cylinder: The formula for the surface area of a cylinder is 2πrh+2πr². HOWEVER, since the cone and cylinder are connected, they don't count as part of the surface area, we don't need the 2 in 2πr². The radius, or r, is 5 cm. The height, or h, is 12 cm. Then, we use those numbers and plug it in the formula.
2πrh+πr²
2π(5)(12)+π(5)²
120π+25π
145π cm²
Cone<span>:
</span>
The surface area of the cone without its base is πrL where <em>r</em> is the radius (5) and <em>L</em> is the lateral side (13)
π·5·13=
65π
<u>Total</u><u>:</u> We add the total SA of the cylinder and cone together to find the total: 145π+65π =
210π cm²
<span><span> y2(q-4)-c(q-4)</span> </span>Final result :<span> (q - 4) • (y2 - c)
</span>
Step by step solution :<span>Step 1 :</span><span>Equation at the end of step 1 :</span><span><span> ((y2) • (q - 4)) - c • (q - 4)
</span><span> Step 2 :</span></span><span>Equation at the end of step 2 :</span><span> y2 • (q - 4) - c • (q - 4)
</span><span>Step 3 :</span>Pulling out like terms :
<span> 3.1 </span> Pull out q-4
After pulling out, we are left with :
(q-4) • (<span> y2</span> * 1 +( c * (-1) ))
Trying to factor as a Difference of Squares :
<span> 3.2 </span> Factoring: <span> y2-c</span>
Theory : A difference of two perfect squares, <span> A2 - B2 </span>can be factored into <span> (A+B) • (A-B)
</span>Proof :<span> (A+B) • (A-B) =
A2 - AB + BA - B2 =
A2 <span>- AB + AB </span>- B2 =
<span> A2 - B2</span>
</span>Note : <span> <span>AB = BA </span></span>is the commutative property of multiplication.
Note : <span> <span>- AB + AB </span></span>equals zero and is therefore eliminated from the expression.
Check : <span> y2 </span>is the square of <span> y1 </span>
Check :<span> <span> c1 </span> is not a square !!
</span>Ruling : Binomial can not be factored as the difference of two perfect squares
Final result :<span> (q - 4) • (y2 - c)
</span><span>
</span>
Answer:
230,000,000
Step-by-step explanation:
because you multiply the area value by 1000000
Answer:
The car must drive at 108 km/h to cover the same journey.
Step-by-step explanation:
Given that:
Time taken by bus journey = 45 minutes =
Speed of bus = 60 km/h
Distance of the journey = Speed * Time
Distance of the journey = 60 * 0.75 = 45 km
The car needs to cover 45 km in 25 minutes.
25 minutes =
Distance = Speed * Time
45 =
Speed =
Speed = 108 km/h
Hence,
The car must drive at 108 km/h to cover the same journey.
https://jhmsmath.weebly.com/uploads/2/7/7/5/27756807/8th_grade_countdown.pdf go to this link page 52-54