Answer:
24°
Step-by-step explanation:
the total angle, made up from both a and 66°, is a mini-square, as you can see. this represents a right angle of 90°
thus, a and 66° combine to make 90°
a + 66° = 90°
subtract 66 from both sides to get a
a = 24°
Answer:
cherry street is 85 yards, while orange dr. and peach ave. is 113 yards, meaning that cherry st. is 28 yards faster
Step-by-step explanation:
(85 x 85) - (77 - 77) = 1296
square root of 1296 is 36
77 + 36 = 113
113 - 85 = 28
this means that cherry st. is 28 yds faster
using the Pythagorean Theorum
Answer:
15.71 ft
Step-by-step explanation:
Given that:
width of the circular track = 2.5ft
Suppose the radius of the inner circle is 57 ft since it is not given
Then the radius of the outer circle = (2.5 + 57) ft = 59.5 ft
The circumference of a circle = 2πr
For inner circle now, the circumference = 2 × π × 57 ft
For inner circle now, the circumference = 358.14 ft
For the outer circle, the circumference = 2 × π × 59.5 ft
For the outer circle, the circumference = 373.85 ft
The difference between the circumference of the outer wheel from the inner wheel shows how farther does a wheel on the outer rail travel than a wheel on the inner rail of the track in one turn
∴
= ( 373.85 - 358.14 ) ft
= 15.71 ft
Andrea had 5 coins worth 50 cents ! And , thereafter her brother gave her 7 coins worth 23 cents .
<u>Step-by-step explanation:</u>
Here we have , Andrea has some money. Her brother gives her 7 coins worth 23 cents and now she has 73 cents. If she started with 5 coins, We need to find what coins did Andrea's brother give her and what coins did Andrea start with. Let's find out:
Andrea has some money , and her brother gives her 7 coins ! worth 23 cents . So , 1 coin worth is :
⇒ 
⇒ 
Now , she had a total of 73 cents i.e.
⇒ 
⇒ 
Initially Andrea had 5 coins worth 50 cents ! And , thereafter her brother gave her 7 coins worth 23 cents .
