Answer:
9 magazines
Step-by-step explanation:
To solve this problem you will want to work backwards. Start with the junk mail. There is 18 junk mail and if there are 1/3 as many bills as junk mail then you will need to multiply 18 * 1/3. This equals 6 bills. If there is twice as many bills as letters then you will need to divide bills(6) by 2 which equals 3. If there are 6 more magazines than letters then you need to add 6 to the letters (3). 3 + 6 = 9
Answer:
The radius of the cone is 9cm
Step-by-step explanation:
This problem bothers on the mensuration of solid shapes, a cone
The volume of a cone is expressed as
V=1/3(πr²h)
We were told that the radius r and the height h are equal
I.e r=h
Substituting h=r in the formula we have
V= 1/3(πr²*r)
V =1/3(πr³)
To find the radius r let us substitute our given 763.02cm³ (note we assume unit in cm)
763.02= 1/3(3.142r³)
763.02= (3.142r³)/3
763.02*3=3.142r³
2289.06=3.142r³
r³=2289.06/3.142
r³= 728.54
r= ³√728.54
r= 8.99cm
≈r= 9cm
Hey there :)
- tan²x + sec²x = 1 or 1 + tan²x = sec²x
sin²x + cos²x = 1
Divide the whole by cos²x
so
and
so
Therefore,
tan²x + 1 = sec²x
Take tan²x to the other side {You will have the same answer}
1 = - tan²x = sec²x or sec²x - tanx = 1