Answer:
Answer simultaneously :)
Input equation 1 into equation 2
xtan60*=(40-x)tan30*
xtan60/tan30= (40-x)
3x = 40-x
4x = 40
x = 10
Hope this helps :) !
I'd appreciate if you'd mark my answer brainliest because ive been stuck on the same rank for wayyy too long :(
Goodluck! :)
Step-by-step explanation:
Similar figures have same ratio of corresponding sides.
Set up ratios and solve for x.
#1
- x / 54 = 6 / 36
- x / 54 = 1/6
- x = 54/6
- x = 9
#2
- x / 4 = 99 / 11
- x / 4 = 9
- x = 4*9
- x = 36
#3
- x / 10 = 6 / 60
- x / 10 = 1/6
- x = 10/6
- x = 5/3
#4
- x / 4 = 28 / 7
- x / 4 = 4
- x = 4*4
- x = 16
Answer:
Hypotenuse = 8.94
Step-by-step explanation:
Answer:
revolutions per minute for 16 inches is 946 / minute
revolutions per minute for 14 inches is 1081 / minute
Step-by-step explanation:
Given data
radius = 16 inch
speed = 90 mph = 90/60 = 1.5 miles/minute = 1.5 × 5280 feet /12 inches = 95040 inches /minute
radius 2 = 14 inches
to find out
revolutions per minute
solution
first we calculate the circumference of the wheel i.e. 2×
×radius
circumference = 2××16
circumference = 32
we know that revolution is speed / circumference
revolution = 95040/32
revolution = 945.38 / minute
we have given radius 14 inches than revolution will be i.e.
revolution = speed / circumference
circumference = 2××14
circumference = 28
revolution = 95040/ 28
revolution = 1080.43 / minute
Answer:
2 face cards
Step-by-step explanation:
By definition, there are 12 face cards (Kings, queens, and jacks) and 36 numbered cards (2's through 10's) in a standard deck of 52 cards. Aces are not considered face cards (no face on the card).
The ratio of face cards in a full deck is (12/52) or slightly over 23%.
The likelihood of a face card in a hand of 8 cards is:
(8 cards)*(12 face cards/52 cards) = 1.85 cards. We need to round to the nearest whole card, so the expected number of face cards in a hand of 8 is 2 cards.
