Answer:
m∠ADC = 132°
Step-by-step explanation:
From the figure attached,
By applying sine rule in ΔABD,
sin(∠ADB) =
= 0.74231
m∠ADB =
= 47.92°
≈ 48°
m∠ADC + m∠ADB = 180° [Linear pair of angles]
m∠ADC + 48° = 180°
m∠ADC = 180° - 48°
m∠ADC = 132°
Answer:
No, mn is not even if m and n are odd.
If m and n are odd, then mn is odd as well.
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Proof:
If m is odd, then it is in the form m = 2p+1, where p is some integer.
So if p = 0, then m = 1. If p = 1, then m = 3, and so on.
Similarly, if n is odd then n = 2q+1 for some integer q.
Multiply out m and n using the distribution rule
m*n = (2p+1)*(2q+1)
m*n = 2p(2q+1) + 1(2q+1)
m*n = 4pq+2p+2q+1
m*n = 2( 2pq+p+q) + 1
m*n = 2r + 1
note how I replaced the "2pq+p+q" portion with r. So I let r = 2pq+p+q, which is an integer.
The result 2r+1 is some other odd number as it fits the form 2*(integer)+1
Therefore, multiplying any two odd numbers will result in some other odd number.
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Examples:
- 3*5 = 15
- 7*9 = 63
- 11*15 = 165
- 9*3 = 27
So there is no way to have m*n be even if both m and n are odd.
The general rules are as follows
- odd * odd = odd
- even * odd = even
- even * even = even
The proof of the other two cases would follow a similar line of reasoning as shown above.
Answer:
f(a) is the cost of the pizza plus sales tax. g(b) is the cost of the pizza ,sales tax plus delivery fee and a is the cost of the pizza
Step-by-step explanation:
12/52
3*4 = 12
there’s 52 cards in total
Answer:
The answer is that the cost will be a total of $142.05. That is $125.80 for Watermelon that weighs 185 lbs and $16.25 for 5 lbs of tomatoes.
Step-by-step explanation:
Given: Watermelons are .68 / lb and tomatoes are 3.25 / lb.
Let w = watermelon weight and tomato weight.
An equation would be:
.68w + 3.25t = Total cost
For 185 lb of Watermelon and 5 lbs of tomatoes:
.68(185) + 3.25(5) =
$125.80 + $16.25 = $142.05
(Hope this helps. Btw, I am the first to answer!!)