Simplify 20(15x − 34)+9x
2 answers:
You might be interested in
Answer:
Option B
Step-by-step explanation:
we know that
In this problem we have
Find the value of
Remember that
substitute the value
Find the value of
Answer:
≈ 77 cm²
Step-by-step explanation:
The area of the shaded portion is calculated as
area of outer sector - area of inner sector
= (πR² - π r²) × ( R is the outer radius, r is the inner radius )
= (π × 14² - π × 7² ) ×
= (196π - 49π ) ÷ 6
= 147π ÷ 6
≈ 77 cm² ( nearest whole number )
The area of a triangle = 
× the length of one side × the length of another side × sin(the angle between these two sides). For our example, because we know one side = 10 and the angle is 30° we will use these in our formula for 'easyness'.
Area of triangle =
where <em>A</em> is the angle in-between the two sides <span>b</span> and <span>c</span><em>.</em> (b=10, A = 30°, c=???)
We need to find <em>c</em> on your diagram and then we can use the formula above. We can use the sine rule to find the length of side <em>c</em>.
We know the angles in a triangle add up to 180° which means angle <em>C</em> must equal 180° - 45° - 30° = 105° so
side <em>c</em> = 13.66 so
Area = 34 square units (to nearest square unit)
Area of triangle =
We need to find <em>c</em> on your diagram and then we can use the formula above. We can use the sine rule to find the length of side <em>c</em>.
We know the angles in a triangle add up to 180° which means angle <em>C</em> must equal 180° - 45° - 30° = 105° so
side <em>c</em> = 13.66 so
Area = 34 square units (to nearest square unit)