Answer:
(52 - 4) * (13 - 7)
Step-by-step explanation:
<u>Step 1: Convert words into an expression</u>
52 minus 4 times the difference of 13 and 7.
(52 - 4) * (13 - 7)
Answer: (52 - 4) * (13 - 7)
If needed simplify
(52 - 4) * (13 - 7)
48 * 6
288
Step-by-step explanation:
Total songs = 193
Probability of pop song = 39/193 = 0.202
Answer:
Height of the kite is
meters.
Ground distance from the kite to the person flying the kite is 50 meters.
Step-by-step explanation:
Given that a string of a kite is 100 meters long and it makes an angle of 60° with horizontal.
Which mans we are getting a shape of right angle triangle as shown in picture. Where "y" is the height of the kite and "x" is the ground distance from the kite to the person flying the kite. Now we can use trigonometric ratios to find the values of x and y.
![\sin\left(60^o\right)=\frac{\left[opposite\right]}{\left[hypotenuse\right]}=\frac{y}{100}](https://tex.z-dn.net/?f=%5Csin%5Cleft%2860%5Eo%5Cright%29%3D%5Cfrac%7B%5Cleft%5Bopposite%5Cright%5D%7D%7B%5Cleft%5Bhypotenuse%5Cright%5D%7D%3D%5Cfrac%7By%7D%7B100%7D)




Hence height of the kite is
meters.
similarly:
![\cos\left(60^o\right)=\frac{\left[adjcent\right]}{\left[hypotenuse\right]}=\frac{x}{100}](https://tex.z-dn.net/?f=%5Ccos%5Cleft%2860%5Eo%5Cright%29%3D%5Cfrac%7B%5Cleft%5Badjcent%5Cright%5D%7D%7B%5Cleft%5Bhypotenuse%5Cright%5D%7D%3D%5Cfrac%7Bx%7D%7B100%7D)




Hence ground distance from the kite to the person flying the kite is 50 meters.
Pattie runs at 5 ft/sec
She has got a head start of 15 feet.
So after 1 second, Pattie runs = (5+15) ft
<span>
= 20 </span>
ft
After 2 second Pattie runs = (20+5)ft
= 25 ft
After 3 second Pattie runs = (25+5) ft
= 30 ft
After 4 seconds Pattie runs = (30+5) ft
= 35 ft
After 5 seconds Pattie runs = (35+5) ft
= 40 ft
After 6 seconds Pattie runs = (40+5) ft
= 45 ft
Now Keith runs at 8 ft/sec
After 1 second Keith runs = 8 ft
After 2 second Keith runs = (8+8) ft
= 16 ft
After 3 second Keith runs = (16+8) ft
= 24 ft
After 4 second Keith runs = (24+8) ft
= 32 ft
After 5 second Keith runs = (32+8) ft
= 40 ft
After 6 second Keith runs = (40+8) ft
= 48 ft
So Pattie will stay ahead of Keith upto 4 seconds. In the 5th second Pattie and Keith will be level and in the 6th second Pattie will be overtaken by Keith.
Answer:
x = 62/15
Step-by-step explanation:
explenation on picture :))