If triangle ABC is a right triangle and BC is a semicircle, find the total area of the figure below. what is the diameter of the semi-circle? units. Area= units squared (rounded to the nearest hundredth. ) side AB is 3 units long. Side AC is 4 units long.

The diameter of the semi-circle is 5 units

A = 9.82 units²

Step-by-step explanation:

In a circle the inscribed angle subtended by an arc of measure 180° (semi-circle) is a right angle

That means the angle whose vertex lies on a semi circle is a right angle

∵ Arc BC is a semi-circle

∵ Δ ABC is a right triangle

- That means BC is the diameter of the semi-circle and angle A

   is the right angle because A lies on the arc BC

∵ In Δ ABC

∵ m∠A = 90°

∵ AB = 3 units

∵ AC = 4 units

- Use Pythagoras theorem to find the length of BC

∵ (BC)² = (AB)² + (AC)²

∴ (BC)² = (3)² + (4)²

∴ (BC)² = 9 + 16

∴ (BC)² = 25

- Take √  for both sides

∴ BC = 5 units

∵ BC is the diameter of the semi-circle

∴ The diameter of the semi-circle is 5 units

∵ Area of the circle = πr²

- Multiply it by half to find the area of the semi-circle

∴ Area of semi-circle = πr²

∵ The length of the radius is half the length of the diameter

   of the circle

∴ r = (5) = 2.5 units

∴ A = π (2.5)²

∴ A = 9.817477042

- Round it to the nearest hundredth

∴ A = 9.82 units²

first anwser choice.

step-by-step explanation:

the greater/less or equal to symbol (> or < with the line at the bottom) is a closed/filled in circle.

-5c + 2 _< _27

subtract from both sides by 2

-5c _< _ 27

divide both sides by -5

c _< _ 5.4

flip the inequality sign

c _> _5.4

the only possible answer that would match the simplified inequality is the first answer choice

part a

in a city ice cream is mostly only bought when the temperature is very high as ice cream cools down our

so we can derive the conclusion that as the temperature increases the number of ice creams sold also increases

part b

y intercept is 5

slope is 2

happy to

pls mark as brainliest