Answer:
First, find tan A and tan B.
cosA=35 --> sin2A=1−925=1625 --> cosA=±45
cosA=45 because A is in Quadrant I
tanA=sinAcosA=(45)(53)=43.
sinB=513 --> cos2B=1−25169=144169 --> sinB=±1213.
sinB=1213 because B is in Quadrant I
tanB=sinBcosB=(513)(1312)=512
Apply the trig identity:
tan(A−B)=tanA−tanB1−tanA.tanB
tanA−tanB=43−512=1112
(1−tanA.tanB)=1−2036=1636=49
tan(A−B)=(1112)(94)=3316
kamina op bolte
✌ ✌ ✌ ✌
30 degrees due to the fact that all triangles interior angles add up to 180 degrees and there are two other angles meaning it is 30 degrees
135.9 rounded to the nearest tenth
Answer:
The merchant buys 30 shirts originally.
Step-by-step explanation:
Let us assume that the merchant bought x numbers of shirts in $120.
So, the cost for each shirt is $
.
Now, if the cost for each shirt is reduced by 1$, then he would have bought 10 shirts more i.e. (x + 10) shirts in $120.
So, we can write the following equation as
⇒(120 - x)(x + 10) = 120x
⇒ 120x - 10x + 1200 - x² = 120x
⇒ x² +10x - 1200 = 0
⇒ x² + 40x - 30x - 1200 = 0
⇒(x + 40)(x - 30) = 0
⇒ x = - 40 or x = 30
But x can not be negative.
Hence, the merchant buys 30 shirts originally. (Answer)
Answer:
Kerry should pay = 155520
Step-by-step explanation:
Total amount paid = 14,4000 + 8% of 14,4000
It is given that,
Kerry purchased a used car for 14,4000. And had to pay 8% sales tax
<u>To find the 8% of 14,4000</u>
8% of 14,4000 = (8*144000)/100 = 11520
<u>To find total amount paid</u>
Total amount paid = 14,4000 + 8% of 14,4000
= 14,4000 + 11520 =155520
Therefore Kerry should pay = 155520
