Answer:
b = 55°
Step-by-step explanation:
The angle at the centre is twice the angle on the circle subtended by the same arc, then
a = 0.5 × 110° = 55°
Angles on the circumference subtended by the same arc are congruent, so
b = a = 55°
Answer:
14, 48, 50
Step-by-step explanation:
To check which set of side length can be used to form a right triangle we use pythagorean theorem
c^2 = a^2 + b^2
biggest side (hypotenuse is c^2)
(a) 14, 48, 50

2500= 196+2304
2500= 2500 that is true
(b) 30, 40, 60

3600= 900+ 1600
3600= 2500 that is false
(c) 14, 50, 60

3600= 196+2500
2500= 2196 that is false
(d) 10, 24,28

784=100+576
784=676 that is false
Answer:
10.99 inches
Step-by-step explanation:
7*2=14
diameter=14
circumference=diameter*pi
14*3.14=43.96
quarter circle
43.96/4=10.99
10.99 inches
Answer: Terry should buy the half-liter of water that costs $2.11 because buying 200 litres here is cheaper.
Step-by-step explanation:
Terry is buying water and needs 22 liters. A half-liter of water costs $2.11. Using this information, 22 litres will cost:
= 22 ÷ 1/2 × 2.11
= 22 × 2 × 2.11
= $92.84
Also, A 200 -milliliter container of water costs $1.01. Using this information, 22 litres will cost:
= 22 × 1.01 ÷ 200/1000
= 22 × 1.01 × 1000/200
= 22 × 1.01 × 5
= $111.1
Based on this information, Terry should buy the half-liter of water that costs $2.11 because buying 200 litres here is cheaper.
He used 16 oz of dark chocolate........he used 2/5 to make frosting....meaning he used 3/5 for the brownies.
2/5(16) = 32/5 = 6.4 oz for frosting
3/5(16) = 48/5 = 9.6 oz for the brownies
Therefore, he used (9.6 - 6.4) = 3.2 more oz in the brownies then in the frosting