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pshichka [43]
2 years ago
10

Andre is making paper cranes to decorate for a party. He plans to make one large papercrane for a centerpiece and several smalle

r paper cranes to put around the table. It takesAndre 10 minutes to make the centerpiece and 3 minutes to makeeach small crane. He willonly have30 minutes to make the paper cranes once he gets home.
1.Andre wrote the inequalityto plan his time. Describe what,, 10,and 30 represent in this inequality.

2.Solve Andre’s inequality and explain what the solution means.
Mathematics
1 answer:
Nadya [2.5K]2 years ago
3 0
1. 10 represents the minutes to make the centerpiece, 30 represents the minutes to make the paper cranes once he gets home.
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5 0
3 years ago
the height of a triangle is 9m less than its base. the area of the triangle is 56 m^2 find the length of the base (SHOW STEPS)
Veronika [31]
Hey there :)

We know the area formula of a triangle
\frac{1}{2} (base)(height)

We are given:
The area = 56 m²
The base = let p represent this
The height = 9 m less than the base = p - 9

Apply the formula
56 = \frac{1}{2} × ( p ) × ( p - 9 )
56 = \frac{1}{2} × ( p² - 9p )

Divide \frac{1}{2} on both sides
56 ÷ \frac{1}{2} = p² - 9p
112 = p² - 9p

Bring 112 to the other side and equate equation to 0
p² - 9p - 112

Factorise { Sum = -9 , Product = - 112 , therefore suitable factors = - 16 × 7 )
( p - 16 )( p + 7 ) = 0
     ↓          ↓
 p = 16    p = - 7  ←  Reject p = - 7 since length cannot be negative

So, the length  of the base is 16 m

Check:
56 m² = \frac{1}{2} × 16 × ( 16 - 9 )
56 m² = 8 × 7
56 m² = 56 m²
7 0
3 years ago
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