7 . 3
--- × ------
10. . 6
= 21
--------
60
= 7/20
D n J = {7,8} (intersection)
Values that satisfy both sets.
D u J = {-1,1,4,5,7,8} (union)
All values present in both sets.
Answer:
ii) c = 4 iii) c = 8
Step-by-step explanation:
A = x axis intercept = 1/2 c
B = y axis intercept = c
ii) Area of a triangle = 1/2 x base x height
4 = 1/2 x (1/2)c x c
c² = 16
c = 4
iii) 2√5 will be the hypotenuse of a right-angled triangle with base 1/4 c and height 1/2 c
(2√5)² = (1/4 c)² + (1/2 c)²
20 = 1/16 c² + 1/4 c²
20 = 5/16 c²
c² = 64
c = 8
Answer:
Step-by-step explanation:
Jenny planned to solve 2/3 of homework
On Saturday she solved 28 problems, which is 7/8 of the planned number
<u>Planned number is:</u>
- 28 : 7/8 = 28 * 8/7 = 32 problems
<u>Jenny's homework was:</u>
- 32 : 2/3 = 32 * 3/2 = 48 problems
The prism has 6 faces.
Each pair of opposite faces is congruent.
The front and back faces are rectangles that measure 10 cm by 5 cm.
The right and left faces are rectangles that measure 5 cm by 3 cm.
The top and bottom faces are rectangles that measure 10 cm by 3 cm.
Now we find the area of each rectangle.
The front and back faces are rectangles that measure 10 cm by 5 cm.
Each face:
A = 10 cm * 5 cm + 50 cm^2
The right and left faces are rectangles that measure 5 cm by 3 cm.
Each face:
A = 5 cm * 3 cm = 15 cm^2
The top and bottom faces are rectangles that measure 10 cm by 3 cm.
Each face:
A = 10 cm * 3 cm = 30 cm^2
There are two faces shaped like each rectangle above, so we multiply each rectangle's area by 2, and we add them together.
total surface area = 2 * 50 cm^2 + 2 * 15 cm^2 + 2 * 30 cm^2
total surface area = 100 cm^2 + 30 cm^2 + 60 cm^2
total surface area = 190 cm^2
