Work out the area of the triangle to 1 decimal place. 10cm, 13cm, 105 degrees

Area = 62.8 cm²

Step-by-step explanation:

In the figure attached a triangle has been given with two sides and included angle between them.

Measures of two sides are 10 cm and 13 cm.

Measure of included angle = 105°

Since area of a triangle with two sides (a and b) and included angle (θ) is,

        =

       = 62.79

       ≈ 62.8 cm²

Therefore area of the given triangle is 62.8 cm²

step-by-step explanation:

hello,

b) 62.47% of the students are between 14 and 18 years old.

step-by-step explanation:

mean = 15 and standard deviation = 2

student between 14 to 18

formula used z-score

for age 14 , z score

using z-table , p(z> -0.5)=0.3085

for age 18 , z score

using z-table , p(z< 1.5)=0.9332

p(-0.5< z< 1.5)=0.9332-0.3085 = 0.6247

thus, 62.47% of the students are between 14 and 18 years old.

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