The measure of arc AC is 40°
Step-by-step explanation:
In any circle the measure of an inscribed angle is one-half the measure of its subtended arc
In circle O
∵ ∠BAC is an inscribed angle subtended by arc BC
∴ m∠BAC = m arc BC
∵ m∠BAC = 70°
- Substitute it in the the expression above
∴ 70 = m arc BC
- Multiply both sides by 2
∴ 140 = m arc BC
∴ The measure of arc BC is 140°
∵ AB is a diameter
- The diameter divides the circle into two equal arcs
∴ m of arc ACB = measure of the circle
- The measure of the circle is 360°
∴ m of arc ACB = (360°)
∴ m of arc ACB = 180°
∵ m arc BC + m arc AC = m arc ACB
∴ 140° + m arc AC = 180°
- Subtract 140 from both sides
∴ m arc AC = 40°
The measure of arc AC is 40°
The scale given (1 in : 1/2 ft) implies that 1 inch on the model is equal to 1/2 foot on the actual ship. Therefore, we can multiply the two inch values by 1/2 foot to find the true dimensions of the ship in feet. Starting with 28 inches:
28 × (1/2 ft) = 14 ft
28 inches is proportional to 14 feet. Now calculate 65 inches:
65 × (1/2 ft) = 32.5 ft
65 inches is proportional to 32.5 feet. Therefore, the answer to this problem is:
D) 14 ft. by 32 1/2 ft.
I hope this helps!
Step-by-step explanation:
a.) 9
When you divide with a fraction you do the reciprocal of the fraction (basically flipping numerator and denominator) then multiplying (since the opposite of division is multiplication.
So if you flip
It would be:
9/1 is the same as 9 so:
1 times 9 = 9
b.) 15
Same thing like we did above, just do the reciprocal the multiply.
Becomes
5/1 is the same as 5.
3 times 5 = 15
Answer:
The volume of the sphere is 82.4 cubic centimetre
Step-by-step explanation:
Given:
The radius of the sphere = 2.7 centimetres
To Find:
The volume to the nearest cubic centimetre = ?
Solution:
The volume of the sphere = 
where r is the radius
On substituting the values,
V = 
V = 82.4 cubic centimetre
Answer:
angle x is an exterior angle of the triangle
