C) The 2 triangles are similar , then we can write:
5x/45 = 20/36 . Cross multiplication:
5x*36 = 45*20
180x = 900 and x = 900/180 , x = 5 (and 5x = 25)
d) Remember the proportionality theorem (or Thales')
You can write the following proportion:
GH/HJ = KL/LM
8/6 = 10/x . Cross multiplication:
8x = 60 and x = 60/8 , x = 7.5
Answer:
Step-by-step explanation:
given,
a₂ = 495
a₆ = 311
geometric sequence formula
...................(1)
................(2)
dividing equation (2) by (1)
hence, the common ratio of the geometric sequence is
C=2πr
C=2π6
C=<span>37.6991118431
</span>
That's the arc length of the whole circle, i.e. the arc length of 360°.
65° is 18.055555555555555555555555555556% of 360°, (65/360*100)
so 18.055555555555555555555555555556% of 37.6991118431 is
6.8067840827819444444444444444444. Rounded to the nearest hundredth, the answer is 6.81 inches.
That's real pi, lets see if it makes a difference to use "stupid pi".
C=2πr
C=2π6
C=37.68
That's the arc length of the whole circle, i.e. the arc length of 360°.
65° is 18.055555555555555555555555555556% of 360°, (65/360*100)
so 18.055555555555555555555555555556% of 37.68 is
6.803333333333333333333333. Rounded to the nearest hundredth, the answer is 6.80 inches.
Yep makes a difference. That's why you don't use stupid pi. 3.14159 is what we always used in engineering, or just the pi button and using a ton of digits.
Answer: 6.80 inches.
Answer:
$0.25
Step-by-step explanation:
Site A pays ...
... $0.65 × 5 = $3.25
Site B pays ...
... y = 0.60·5 = 3.00 . . . dollars
Site A pays more by ...
... $3.25 - 3.00 = $0.25
_____
You can also look at the difference in unit rates. Site A pays $0.65 per photo, while site B pays $0.60 per photo, a difference of $0.65 - 0.60 = $0.05 per photo. Then 5 photos will be worth $0.05 × 5 = $0.25 more at Site A.
Answer:
1. c 2. a 3. b
Step-by-step explanation:
The best way to prove these results are the right ones is by multiplying diagonally :
1. 1/3 = 4/12 -----> 1 . 12 = 12 ; 3 . 4 =12
2. 1/2 = 3/6 ------> 1 . 6 = 6 ; 2 . 3 = 6
3. 2/5 = 6/15 -----> 2 . 15 = 30 ; 5 . 6 = 30
The results of the multiplications must be the same if the fractions are equivalent.