1. Diana Little's gross pay is $46,300. She takes a married exemption of $3,000. Her state income tax rate is 3.5
1 answer:
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Answer: 3 times.
Step-by-step explanation:
Here, The Volume of the gas tank = 4710
While, The radius of the cylindrical shaped bucket = 5 in
And, Height of the cylindrical shaped bucket = 20 in
Therefore, The volume of the bucket =
= 3.14 × 5 × 5 × 20 = 1570
According to the question, cylinder shaped bucket is used to fill the tank.
Thus, The number of times the bucket will be used to fill the tank
= The Volume of the gas tank/ The volume of the bucket = 4710/1570 = 3
Therefore, The bucket will be used three times to fill the tank.
Answer: 1. It is not possible to construct a triangle of given measure sides.
2. The value of ∠A is 44°
Step-by-step explanation:
1.
Given: Three sides of a triangle
Let a= 12 m , b=30 m and c= 18 m
Now as we know
The sum of two sides of a triangle is always greater than the third side
Therefore we need to show
a+b>c -----(i)
b+c>a -----(ii)
c+a>b -----(iii)
(i a+b= 12+30 = 42>18= b ⇒ a+b>c
ii) b+c=30+18= 48 >12=a ⇒ b+c>a
iii) c+a=18+12=30=b ⇒ c+a= b
Therefore the third condition does not verified
Hence, it is not possible to construct a triangle of given measure sides.
2.
As we now triangle sum property which states that the sum of all the three angles of a triangle is 180°
So we have
Therefore
Hence, the value of ∠A is 44°