Work out, giving your answer in its simplest form: 2 1/4 × 3 1/5

Mathematics

1 answer:

marta [7]3 years ago

4 0

Answer:

7 1/5

Step-by-step explanation:

Convert any mixed numbers to fractions.

Then your initial equation becomes:

9/4 × 16/5

Applying the fractions formula for multiplication,

= 9 × 16 / 4 × 5

= 144/20

Simplifying 144/20, the answer is

7 1/5

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2 years ago

Help ASAP. Thank you! Find the area of the shaded region. 80° 5 cm A=[?] cm2

pashok25 [27]

Answer:

Step-by-step explanation:

$\text{The area shaded outside of the triangle is}\\ \\ A=\frac{\pi r^2\theta}{360},\ r=5,\ \theta =80^o\\ \\ A=\frac{50\pi}{9}\\ \\ \text{Then we must add the area of the shaded triangle.}\\ \\ A=\frac{bh}{2}\\ \\ \frac{b}{2}=5sin40^o\\ \\ h=5cos40^o\\ \\ A=25sin40^o(cos40^o)\\ \\ \text{Total area is}\\ \\ A=\frac{50\pi }{9}+25sin40^o(cos40^o)\\ \\ A\approx 29.8cm^2$