Answer:
The amount of flour Mrs.Stewart needs for 5 cups of shortening cups.
Step-by-step explanation:
Mrs.Stewart pie dough needs cups of shortening for cups of flour.
Now we assume that the shortening needed for cups of flour is cups.
Accordingly we can arrange the ratios.
So for one cup of shortening how many cups of flour is needed we have to use the unitary method:
Plugging the value of as it is number of cups of shortening Mrs.Stewart have used.
And multiplying both sides with .
Number of cups of flour needed when cups of shortenings are used .
So,
The amount of floor Mrs.Stewart needed for cups of shortening cups of floor.
Answer:
The answers are 0, 1 and −2.
Step-by-step explanation:
Let α=arctan(2tan2x) and β=arcsin(3sin2x5+4cos2x).
sinβ2tanβ21+tan2β2tanβ21+tan2β23tanxtan2β2−(9+tan2x)tanβ2+3tanx(3tanβ2−tanx)(tanβ2tanx−3)tanβ2=3sin2x5+4cos2x=3(2tanx1+tan2x)5+4(1−tan2x1+tan2x)=3tanx9+tan2x=0=0=13tanxor3tanx
Note that x=α−12β.
tanx=tan(α−12β)=tanα−tanβ21+tanαtanβ2=2tan2x−13tanx1+2tan2x(13tanx)or2tan2x−3tanx1+2tan2x(3tanx)=tanx(6tanx−1)3+2tan3xor2tan3x−3tanx(1+6tanx)
So we have tanx=0, tan3x−3tanx+2=0 or 4tan3x+tan2x+3=0.
Solving, we have tanx=0, 1, −1 or −2.
Note that −1 should be rejected.
tanx=−1 is corresponding to tanβ2=3tanx. So tanβ2=−3, which is impossible as β∈[−π2,π2].
The answers are 0, 1 and −2.
A.) 75 x 60 = 4500 in an hour
4500 x 24 = 108000 in a day
108000 x 365 = 39420000 in a year
39420000 x 45 = <span>1,773,900,000 in 45 years
</span>B.)2200800 / 75 = 29344 mins
29344 / 60 = <span>489.066666667 hours
</span>489.066666667 / 24 = 20.37777778
you get it
Hi there!
You're answer will be 1/8 ft. There is 6/8 pieces of paper, so all you have to do is divide it by 6.
The answer, however turned into inches, is 1.5 inches.
Hope this helps! Have a nice day!
~Alexa