4.7) Consider a right triangle with a side of lengthxoppositeangleA a side of lengthyoppositeangleB,and a hypotenuse of lengthzopposite the right angle. IfsinB=1/2 andx=23, find the length of the other side (y) and the length of the hypotenuse (z)

Enter the exact answers. (Z = 26.56 and Y=13.28 didn't work for me)

4.8) A right triangle with A (top) to b (bottom left) is 4 with the long side on the bottom from b to c is 10 in length

sinA = ? cosA= ? tanA= ? secA = ? cscA= ? cotA= ?

4.9) The length of the hypotenuse is 14.ais the length of the side opposite the10 angle andbisthe length of the side opposite angleB

Round you answers to four decimal places.

A = ? B = ?

3.1) Expand the logarithm as much as possible. Rewrite the expression as a sum, difference, or product of logs.

ln((1)/(g^k))

Enclose arguments of functions in parentheses and include a multiplication sign between terms. For example,c*ln(h)

3.2) Use the properties of logarithms to expand the logarithm as much as possible. Rewrite the expression as a sum, difference, or product of logs.

log(sqrt(x^7 y^-12))

3.3) Condense the expression to a single logarithm using the properties of logarithms.

log(x)=-1/2log(y)+6log(z)

Enclose arguments of functions in parentheses and include a multiplication sign between terms. For example,c*log(h)

3.11) A formula for calculating the magnitude of an earthquake isM=2/3log(E/E0)that uses the common (base 10) logarithm. This is called the Moment Magnitude Scale (MMS), an alternative to the more well known Richter Scale. One earthquake has magnitude3.9on the MMS. If a second earthquake has650times as much energy as the first, find the magnitude of the second quake.

Round to the nearest hundredth. The magnitude of the nearest earthquake was ?

(THE E/E0 is written with E / E with a hanging 0 it looks like)