Answer:
243 in²
Step-by-step explanation:
Step 1. Calculate the<em> base and height </em>of the rectangle
We have two conditions:
(1) 2b+ 2h = 72 in
(2) b = 3h Substitute in (1)
2(3h) + 2h = 72 Remove parentheses
6h + 2h = 72 Combine like terms
8h = 72 Divide by 6
h = 9 in Substitute in(2)
b = 3 × 9
b = 27 in
Step 2. Calculate the area of the rectangle
A = bh
A = 27 × 9
A = 243 in²
The area of the rectangle is 243 in².
Answer: $.55
Step-by-step explanation:
An important thing to know is that a dozen is equal to 12.
12x= 6.60
/12 /12
x=.55
Let
In order to prove this by induction, we first need to prove the base case, i.e. prove that P(1) is true:
So, the base case is ok. Now, we need to assume and prove .
states that
Since we're assuming , we can substitute the sum of the first n terms with their expression:
Which terminates the proof, since we showed that
as required
Answer: 9.5 cups of water
Step-by-step explanation:
5 1/2 + 4
5 1/2= 11/2
11/2+4=9.5
For synthetic division:
1) Write the coefficients of the polynomial under the division symbol, in order. Make sure you include coefficients that are 0, so they may not be written out in the polynomial!
The coefficients are 7, 1, 0 (the coefficient of x), and -4 in that order
2) The divisor is in the form of x - a. The number "a" goes outside the bracket.
a = 5
Since 7, 1, 0, -4 are under the bracket and 5 is outside the bracket, the answer is C.
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Answer: C