Find the area of the following shape. Please show work.
2 answers:
Answer:
Step-by-step explanation:
The area of a triangle is given by the formula:
● A = (b×h)/2
b is the base and h is the heigth.
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Draw the heigth. This gives you two small right triangles.
Let's focus on the right one containing 45°.
● sin 45° = h/8
● h = sin 45° × 8 = 4√(2)
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Replace h by its value in the area formula. The base is 17
● A = (17× 4√(2))/ 2
● A = 34√(2)
● A = 48.08
Round to the nearest unit
● A = 48
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The value of m is 8.
<h3>What is Exponents and powers?</h3>The amount of times a number has been multiplied by itself is shown by its exponent. The result of multiplying 8 by itself n times is represented as follows:
8 x 8 x 8 x 8 x …..n times =
Given:
Now, solving for m
= 16
=
Taking the quad root we have
m -4 = 4
m = 4+ 4
m = 8
Hence, the value of m is 8.
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