Answer:
Decrease in dollars is $555.00, $6845.00 was in his account at the end of last year.
Step-by-step explanation:
7400 times 7.5/100
=74 times 7.5
=$555.00
7400-555=$6845.00
The surface area of the solid shape is the amount of space on it
The radius of the two cones is 2.93 cm
<h3>How to determine the radius?</h3>
The given parameters are:
- Cone 1: slant height, l = 2r
- Cone 2: slant height, L = 3r
- Surface area = 135. 21 cm²
The surface area of the shape is calculated using:
T = πr(L + l)
So, we have:
135.21 = πr(2r + 3r)
Evaluate
135.21 = 5πr²
Divide both sides by 5π
r² = 135.21/5π
Evaluate the quotient
r² = 8.61
Take the square root of both sides
r = 2.93
Hence, the radius of the cones is 2.93 cm
Read more about surface area at:
brainly.com/question/6613758
Answer:
isn't an equivalence relation. It is reflexive but neither symmetric nor transitive.
Step-by-step explanation:
Let 
denote a set of elements. 
would denote the set of all ordered pairs of elements of 
.
For example, with 
, 
and 
are both members of . However, 
because the pairs are ordered.
A relation on is a subset of . For any two elements
, 
if and only if the ordered pair 
is in 
.
A relation on set is an equivalence relation if it satisfies the following:
- Reflexivity: for any
, the relation needs to ensure that 
(that is: 
.)
- Symmetry: for any , if and only if
. In other words, either both and 
are in , or neither is in .
- Transitivity: for any
, if and 
, then 
. In other words, if and 
are both in , then 
also needs to be in .
The relation (on ) in this question is indeed reflexive. 
, 
, and 
(one pair for each element of ) are all elements of .
isn't symmetric. 
but 
(the pairs in 
are all ordered.) In other words, 
isn't equivalent to 
under even though 
.
Neither is transitive. 
and 
. However, . In other words, under relation , 
and 
does not imply 
.
m1 = 63 m2 =117 m3=117 m5=117 m6=63 m7=117 m8=63
