Given:
The radius of the base of the given cone = 5 cm
The slant height of the cone = 19 cm
To find the surface area of the given cone.
Formula
The surface area pf the given cone is,
where, r be the radius and
l be the slant height.
Now,
Taking, r = 5, l = 19 and π = 3.14 we get,
sq cm
or, sq cm
or, sq cm
Rounding off to the nearest square centimeter, we get;
Hence,
The surface area of the cone is 377 sq cm.
Answer:
11.) 10w^2 + 43w + 21.
12.) -15y^2 - 2y + 8
Check the explanation for details
Step-by-step explanation:
11.) You are meant to multiply each row by both columns. For instance, multiply 5w by 2w and 7 you will get 10 w^2 and 35 w
Also, multiply 3 by both 2w and 7 you will get 6w and 21. Therefore,
Expansion of ( 5w + 3 )( 2w + 7 ) will produce 10w^2 + 37w + 6w + 21
= 10w^2 + 43w + 21.
12.) Repeat the same process by multiplying row by column.
Multiply -3y by 5y and 4 you will get -15y^2 and -12y.
Also, multiply 2 by same 5y and 4. You will get 10y and 8
Therefore, the expansion of
( -3y + 2 )( 5y + 4 ) will be
-15y^2 - 12y + 10y + 8
-15y^2 - 2y + 8
Write 1 2/3 as an improper fraction...
1 = 3/3. Plus the 2/3 makes 5/3.
To add/subtract fractions, they need the same denominator. (bottom number)
We can change the denominator by multiplying the top and bottom of a fraction by the same number. (it will stay equal, like 1/2 and 2/4)
Let's change 5/3 and 3/4 to a denominator of 12.
5/3 = 20/12 (bottom multiplies by 4, so does the top)
3/4 = 9/12 (bottom multiplies by 3, so does the top)
Now we just subtract the 20 minus 9 twelfths. (the twelfths act as a sort of unit)
