Answer:
m∠C = 38°
Step-by-step explanation:
By the inscribed angle theorem,
"Intercepted arc measures the double of the measure of the inscribed angle"
m(arc AB) = 2[m(∠ACB)]
76° = 2[m(∠ACB)]
m(∠ACB) = 38°
Therefore, measure of angle ACB = 38°.
Answer:
(16 + 8√3) in²
Step-by-step explanation:
The ratio of side dimensions for a 30°-60°-90° triangle are 1 : √3 : 2. If we call the horizontal dimension of the triangle its base, then its height (vertical dimension) will be √3×4 in. Of course the area of the triangle is ...
... A = (1/2)bh = (1/2)(4 in)(4√3 in) = 8√3 in²
The total sod area is the sum of the square area (16 in²) and the triangle area, so is ...
... area to cover = (16 +8√3) in²
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<em>Comment on problem dimensions</em>
The area involved here is not much larger than the size of your hand. It would make more sense for the dimensions to be in feet or yards or meters, rather than inches.
The range for boys is 60 as for girls the range is 80. The median for boys is 90 and for girl 110.
