Answer:
D. 3 Points
Step-by-step explanation:
Given
Required
Determine the least possible score
The least point a member of a team can get is when n = 8.
i.e.
To get the least score, each of the 3 members must have 1 point each.
So:
Answer:
x=2,y=2
Step-by-step explanation:
This question is a simultaneous equation
So let's solve
3x+y=8...(1)
2x+2y=8....(2)
Multiply (1) by 2
6x+2y=16...(3)
Substrate (2) From (3)
4x=8
Let's make x the subject of formula by dividing both sides by 4
x=2
So let's substitute the value of x into (1)
3x+y=8
3(2)+y=8
6+y=8
y=8-6
y=2
Therefore x is 2,y is 2
Answer:
2.23kg
Step-by-step explanation:
If you can get 1 kg for $4.50. You can perform a ratio to find out how much you get for $10.
1/4.50=x/10
.2222222=x/10
multiply the 10 on both sides
x=2.23 kg for $10
Answer: is a straight line that passes through the orgin hope it helps
Step-by-step explanation:
Answer:
- sin C=h/a
- substitution property of equality
- commutative property of multiplication
Step-by-step explanation:
Because two points determine a line, you can draw altitude BD perpendicular to AC with height h. By the definition of a sine ratio, <u>sin(C) = h/a</u>, which can be rearranged into a·sin(C) = h. The area of △ABC is A=1/2bh. The <u>substitution property of equality</u> can be used to write A=1/2b(a sinC), which becomes A=1/2ab(sinC) by the <u>commutative property of multiplication</u>.
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The mnemonic SOH CAH TOA reminds you that the sine ratio is ...
Sin = Opposite/Hypotenuse
Here, the side of the right triangle opposite angle C is designated "h", the height of ∆ABC. The hypotenuse of that right triangle is side "a". So ...
sin(C) = h/a
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The substitution property of equality lets you replace any expression with its equal. Here, we have h=a·sin(C), so we can use a·sin(C) in place of h in the formula for triangle area:
1/2bh = 1/2ba·sin(C)
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The commutative property of multiplication lets you rearrange the order of the factors in a product, so ...
ba = ab
and
A = 1/2ba·sin(C) = 1/2ab·sin(C)
