Answer:
2 and 2/3 for the first question
-1/8 for the second one
-1/5 for the third one
ive never done this type of question or maybe it was too long ago for me to remember but out of this answer choices i would guess that its the last one
this is 3
Step-by-step explanation:
you add the numerators which is the top number in order to get 2 and 2/3rds
you subtract 5 from 4 to get -1/8
same situation as the last one, subtract 15 from 11 to make it a negative 4/20 and then simplify that by dividing it by four to get 1/5th
this one i dont understand or remember how to do very well but if i had to guess its the last answer choice
this one you add 3/4 plus 1/4 in order to get 4/4 or rather 1, so basically its asking what 1+1+1 is which is 3
Answer:
$12.50 per hour
Step-by-step explanation:
All you have to do is divide 100 by 8 to find the hourly rate. His rate is $12.50 per hour.
The perimeter would be 16 units
Answer: 60pi cm^2 = 188.5 cm^2
Step-by-step explanation:
You don't need to understand how or why the curved surface area of a cone is pi×r×L. You just need to see that the answer is area big cone minus area small cone.
big cone curved surface area
B = pi × 8 × 10 cm^2 = 80pi cm^2
small cone dimensions. It's similar to big cone so all dimensions scale by same factor, namely 1/2 ("the height of the small cone is half the height of the large cone.")
small cone curved surface area
S = pi × 8/2 × 10/2 cm^2 = 20pi cm^2
Frustum curved surface area = B - S = 60pi cm^2 = 188.5 cm^2
But if you want to know why the curved surface area is pi r L, take a paper cone with base radius r and slant length L, and cut straight from base to apex. It flattens out to the sector of a circle with radius L and arc length 2pi r.
Now the arc length of a full circle of radius L is 2pi L, and its area is pi L^2. So the area is half arc length (pi L) times radius (L).
Arc length of sector is 2pi r
Half arc length is pi r
Radius is L
Area of sector of circle unrolled from cone is pi r L.
Answer:
About 969 dollars
Step-by-step explanation:
I kind of did it the long way. I divided $1,404 by 100 and multiplied by 19. Did the same thing with 12. Added the product of those together and subtracted from 1,404.
(1,404÷100)19 + (1,404÷100)12 = 435.24
1,404 - 435.24 = 968.76
Since it was an estimate I rounded it to the nearest whole number and got 969
Hope this helps. There are probably better methods to solve this problem but this was my way.
