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2 years ago

Find the value of each variable. 22, 30, x.

Mathematics

2 answers:

Stella [2.4K]2 years ago

4 0

Answer:

11 and 11 root 3

This is because it is a 30 60 90 triangle, making it x, x root 3, and 2x.

Oduvanchick [21]2 years ago

4 0

Answer:

x = 11, y = 19.05

Step-by-step explanation:

sin 30 = x/22
22*sin 30 = x

22*0.5 = x
11 = x

tan 30 = 11/y
0.577350269 = 11/y
y = 11/0.577350269
y = 19.0525589
y= 19.05

Hope this helps :)

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Answer:

Step 1: $z*1+z*1+z*1+z*1=$

Step 2: $z(1+1+1+1)=$

Step 3: $z*4=$

Step 4: $z*4 = 4z$

Step-by-step explanation:

Given

$z+z+z+z = 4z$

Required

Match the steps with equivalent properties

Step 1: Multiplicative Identity Property

This states that:

$x = 1 * x$

So, the expression becomes:

$z*1+z*1+z*1+z*1=$

Step 2: Distributive Property

This states that:

$ab + bc = b(a+c)$

So, the expression becomes

$z*1+z*1+z*1+z*1=$

$z(1+1+1+1)=$

Step 3: Addition

Here, we simply add the expressions in the bracket

$z(1+1+1+1)=$

$z(4) =$

$z*4=$

Step 4: Commutative Property of Multiplication

This states that:

$ab=ba$

So, we have:

$z*4=$

$z*4 = 4*z$

$z*4 = 4z$

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