Answer:
2³
Step-by-step explanation:
Using the rule of exponents
× 
= 
, thus
× 
= 
= 2³ [ = 8 ]
1. For y, I think that refers to the first picture attached. As you can see, each side of the triangle have the same short line drawn across it. It means that they are equal in length. That means the triangle is equilateral, which means each interior angle is 60°. Thus,
60 = 5y + 10
5y = 60 - 10
5y = 50
y = 50/5 =<em> 10</em>
2. As you can see in the second picture attached, Angles B and C are equal. That also means that their respective opposite sides are equal. So,
8x - 4 = 5x + 11
8x - 5x = 11 + 4
3x = 15
x = 15/3 = 5
Consequently,
BC = 4x - 2
BC = 4(5) - 2 = <em>18</em>
Answer:
a) 5000 m²
b) A(x) = x(200 -2x)
c) 0 < x < 100
Step-by-step explanation:
b) The remaining fence, after the two sides of length x are fenced, is 200-2x. That is the length of the side parallel to the building. The product of the lengths parallel and perpendicular to the building is the area of the playground:
A(x) = x(200 -2x)
__
a) A(50) = 50(200 -2·50) = 50·100 = 5000 . . . . m²
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c) The equation makes no sense if either length (x or 200-2x) is negative, so a reasonable domain is (0, 100). For x=0 or x=100, the playground area is zero, so we're not concerned with those cases, either. Those endpoints could be included in the domain if you like.
Answer:
The inequality is;
p≤ 10.53
where 10.53 is the highest value she can spend on other stationery
Step-by-step explanation:
Here, we want to write an inequality
The amount she has to spend is 33
This means she can spend less than or equal to this amount
she has spent 22.47 and still has p to spend
Mathematically;
p + 22.47 ≤ 33
p ≤ 33-22.47
p ≤ 10.53
<span>moles of ch4 that can be produced from 461g of c= 461/12 = 38.416 moles</span>
