A rectangular painting is to have a total area (including the frame) of 1200 cm2. If the painting is 30 cm long and 20 cm wide,
1 answer:
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Answer:
a.
b.
Step-by-step explanation:
a. The sides of an Equilateral triangle are all equal.
Then, in this case:
Based on this, you can identify that AD divides the side BC into two equal parts and the triangle into two equal Right triangles. Then:
Knowing the length CD, you can find "x" using the Pythagorean Theorem. This is:
Where "a" is the hypotenuse and "b" and "c" are the legs.
In this case:
Substituting values and solving for "x", you get:
b. By definition, the measure of each interior angle of an Equilateral triangle is 60 degrees. Therefore:
Answer:
Step-by-step explanation:
The given expression is
The exponent property
Applying this exponent property, we have
Now, the given numeric values are x = 9, y= 8, and z= 16
On substituting these values in the simplified expression, we get
This can be further simplified by writing
Now, applying the product rule of exponent: