Answer:
Step-by-step explanation:
Volume = area × height
= 210 × 7
= 1470cubic inch
Answer:
(x+3)(x+2)
Step-by-step explanation:
take x^2 and take it apart. so it should be (x+ ) (x+ ) then take 6 and make it so it's multipuls equal 5. ur answer should be (x+3)(x+2) or vice versa.
Answer:
23 Dimes and 8 Quarter.
Step-by-step explanation:
Important info:
31 Coins worth a total of $4.30
Note:
Dimes = .10
Quarters = .25
10 Dimes = 1.00
4 Quarter = 1.00
Question to Answer:
How many of each type of coin does she have?
Solution:
Lets get rid of the .30 cent in $4.30 so
.30 = 3 Dimes
Now $4.00,
4.00-1.00 of quarter
=
3.00 and 4 quarter..
Right now we have 3 Dimes and 4 Quarter = $1.30.
And that 7 Coins worth of $1.30.
3.00-2.00= 1.00 and 20 Dimes so now we have
23 Dimes and 4 Quarter.
And that add up to 27.
1.00-1.00 of Quarter = 4 Quarter.
so 31 worth a total of $4.30.
So that's 23 Dimes and 8 Quarter.
Check Work:
23 Dimes = $2.30 and 8 Quarter = $2.00
$2.30 + $2.00 = 4.30
Hence, The Correct Answer is 23 Dimes and 8 Quarter.
~[ RevyBreeze }~
A(n)=4+4(n-1)
a(n)=4+4n-4
a(n)=4n
76=4n
n=19
The sum of any arithmetic sequence (series are infinite) is:
(a+a(n))(n/2)
The average of the first and last terms times the number of terms, in this case we found that n=19 so:
19(4+76)/2=760
Answer:
4√2 + 2√10
Step-by-step explanation:
Finding the perimeter here involves finding three point-to-point distances and then adding them up.
From (2, 2) to (6, -2) we have a change in x of 4 and a change in y of -4. We use the Pythagorean Theorem to determine the distance, which is the hypotenuse of a right triangle:
√( [4]² + [-4]² ) = 4√2. This is the length of the side connecting (2, 2) and (6, -2).
From (6, -2) to (5, 1), the distance is √( [-1]² + 3² ), or √10.
From (5, 1) to (2, 2), the distance is √( [-3]² + 1² ), or √10.
The perimeter is the sum of these three distances and is:
4√2 + √10 + √10, or 4√2 + 2√10
