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Reptile [31]
3 years ago
11

Deborah needs to make 16 costumes for the school play .each costumes require 2 1/4 yards of material. how many yards of material

will she need
Mathematics
1 answer:
Ipatiy [6.2K]3 years ago
6 0
16 × 2.25= 36 yards of material
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In the triangle below,<br> y = [ ? ] cm. Round to the<br> nearest tenth.
sattari [20]

Answer:

The answer is

<h2>12.3 cm</h2>

Step-by-step explanation:

Since the triangle is a right angled triangle we can use trigonometric ratios to find y

To find y we use cosine

cos∅ = adjacent / hypotenuse

From the question

y is the adjacent

The hypotenuse is 15

So we have

\cos(35)  =  \frac{y}{15}  \\ y = 15 \cos( 35 )  \\ y = 12.28728

We have the final answer as

<h3>12.3 cm to the nearest tenth</h3>

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Answer:

x = 2

Step-by-step explanation:

\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0

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\frac{1}{2} (x - 1) - \frac{1}{6} (x+1) = 0

→ Expand the brackets

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→ Multiply everything by 12 to make solving the equation easier

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→ Simplify equation

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→ Add 8 to both sides to isolate 4x

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x = 2

⇒ We can substitute x = 2 back into the equation to see if the solution is correct, if we get 0 on both sides then x = 2 is correct

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⇒ Simplify

\frac{1}{2} (1)-\frac{1}{6} (3) = 0

⇒ Simplify further

\frac{1}{2} -\frac{1}{2} =0

0 = 0

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