Answer:
decimal ;0.3125 percent ;31.25%
Step-by-step explanation:
Answer:
7 strips
Step-by-step explanation:
One way we can solve this is through guess and check. Let's start with 4 strips. If Joe's grandma makes 4 strips, she will have 0.75*4 = 3.00 yards of fabric. That's a really low amount of fabric. Let's double that to 8, where Joe's grandma would need 0.75*8 = 6.00 yards of fabric. That's really close! Let's remove one strip. 0.75*7 = 5.25 yards of fabric. Perfect! Joe's grandma can cut exactly 7 strips
Answer:
578.5$
Step-by-step explanation:
first we calculate 35% of $890
890 * 0.35 = 311.5$
Then we subtract 35% from the original price to obtain the final price
890-311.5=578.5$ <---- final price
Answer:
X=8 simplify equation
Step-by-step explanation:
-9+9=0
Answer: 195.5 or 12 7/32
Step-by-step explanation:
There is no letter tetha in the table so I use α instead. However it is not sence to final result.
The expression is:
(sinα+cosα)/(cosα*(1-cosα))
Lets divide the nominator and denominator by cosα
(sinα/cosα+cosα/cosα)/(cosα*(1-cosα)/cosα)= (tanα+1)/(1-cosα)=
=(8/15+1)/(1-cosα)= 23/(15*(1-cosα)) (1)
As known cos²α=1-sin²α (divide by cos²α both sides of equation)
cos²a/cos²α=1/cos²α-sin²α/cos²α
1=1/cos²α-tg²α
1/cos²α=1+tg²α
cos²α=1/(1+tg²α)
cosα=sqrt(1/(1+tg²α))= +-sqrt(1/(1+64/225))=+-sqrt(225/(225+64))=
=+-sqrt(225/289)=+-15/17 (2)
Substitute in (1) cosα by (2):
1st use cosα=15/17
1) 23/(15*(1-cosα)) =23/(15*(1-15/17))= 23*17/2=195.5
2-nd use cosα=-15/17
2)23/(15*(1-cosα)) =23/(15*(1+15/17))= 23*17/32=12 7/32
