Answer:
w=4
Step-by-step explanation:
10+15(w-2)=40
distribute the 15
10+15w-30=40
combine like terms
-20 + 15w = 40
15w=60
w=4
Answer:
Step-by-step explanation:
The longest side of the given trapezoid is 14 units as per picture.
The ratio or scale factor is 2/7.
<u>The new figure's corresponding side will have the length:</u>
- 14 : 2/7 =
- 14 * 7/2 =
- 49 units
Answer:
i. 4∈C => False
ii. 5∈C => True
iii. A = B => False
iv. B=C => True
Step-by-step explanation:
Given sets are:

Lets look at the statements one by one.
<u>i. 4∈C</u>
This statement means that 4 is a member of set C. Looking at the members of set C, it can be concluded that the statement is wrong as C doesn't contain 4.
<u>ii. 5∈C</u>
This statement is true as 5 is a member of C.
<u>iii. A=B</u>
This statement states that set A is equal to set B. Two sets are said to be equal if there number of elements and members are same. Set A and Set B have different members so this statement is false.
<u>iv. B=C</u>
Set B and Set C have equal number of members and the members (5,6,2) are also same so the statement is true.
Hence,
i. 4∈C => False
ii. 5∈C => True
iii. A = B => False
iv. B=C => True
Answer:
Both the radius and height of the cylinder are 2.48 cm.
Step-by-step explanation:
V = π r2 h
(where r is the radius and h is the height.)
However, in the problem statement, we were told that the radius equals the height or "r = h"
So, we can rewrite the above equation as:
V = π r2*r = π r3
Now we just have to solve for r
r3 = V/π
r = (V/π)1/3
r = (48/π)1/3=2.48 cm