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Lapatulllka [165]
3 years ago
6

Anna is making a banner out of 4 congruent triangles as shown below. How much blue trim will she need for each side

Mathematics
1 answer:
Ede4ka [16]3 years ago
3 0

Answer:

The length of each blue trim is 17.2 inches

Step-by-step explanation:

Given

See attachment for banner

Required

The length of each blue trim

Since all 4 triangles are equal, then the dimension of 1 triangle is:

Side\ 1 = 10

Side\ 2 = 14

The hypotenuse (x) of the triangle blue trim is represented by the blue trim

So:

x^2 = Side\ 1^2 + Side\ 2^2

This gives

x^2 = 10^2 + 14^2

x^2 = 100 + 196

x^2 = 296

Take square root

x = \sqrt{296

x = 17.2in

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For each direct variation find the constant of variation then find the value of Y when X equals -0.5. Y equals 2 when X equals 3
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For direct variation y varies directly with x, then we use equation y = kx

Where k is the constant of proportionality

Given: Y equals 2 when X equals 3

We plug in 3 for x  and 2 for y and solve for k

y = kx

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Given x=-0.5  and find out y

y=\frac{2}{3}(-0.5)

y=-0.33

the value of y is -0.33 when x=-0.5


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