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Dennis_Churaev [7]
2 years ago
10

What is the area of the image below rounded to the nearest whole number?​

Mathematics
1 answer:
vfiekz [6]2 years ago
3 0

Answer:

189

Step-by-step explanation:

step 1: calculate area of rectangle

Area = l × b

= 10× 15

= 150

step 2: calculate area of half a circle

Area = 1/2 (π.r²)

= 1/2 (22/7 × 5²)

=157/4

step 3: Add the area of rectangle and half a circle together

Area = 157/4 + 150

= 189.26

rounded off to the nearest whole = 189

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<h3>Answers:</h3>

14.  Each leg is   21\sqrt{2}  units long.

15 (a). The longer leg is 7\sqrt{3}  units long

15 (b). The hypotenuse is 14 units long

=====================================================

Explanations:

For a 45 degree right triangle, aka 45-45-90 triangle, the hypotenuse is equal to sqrt(2) times the short leg. Algebraically we can say

y = x\sqrt{2} where x is the leg and y is the hypotenuse

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y = x\sqrt{2}\\\\x\sqrt{2} = y\\\\x = \frac{y}{\sqrt{2}}\\\\x = \frac{y\sqrt{2}}{\sqrt{2}*\sqrt{2}} \ \text{rationalizing denominator}\\\\x = \frac{y\sqrt{2}}{2}\\\\

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x = \frac{y\sqrt{2}}{2}\\\\x = \frac{42\sqrt{2}}{2}\\\\x = \frac{42}{2}\sqrt{2}\\\\x = 21\sqrt{2}\\\\

---------------------------

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