Answer:
volume is 1570 cm³
mass is 12560 g
Step-by-step explanation:
1m = 100 cm
the volume is :
1/4 x 
x 6² x 100 - 1/4 x x 4² x 100
= 900 - 400 { v = 1/4 d²h }
= 500
= 500 x 3.14
= 1570 cm³
the mass of the pipe is:
1570 x 8 = 12560 grams
The Answer Is 7.5
Tangent and 8 makes a right triangle, which is great because you could find the diameter and divide it by 2 to find the radius.
64+d^2=289
d^2=225
d=15
15/2=7.5
Answer:
120 pounds
Step-by-step explanation:
Since the new cost is 144 pounds and this is 20% more, this is 120% of the original price. Remember 100+20 = 120. To find the original price set up a proportion with these values:
Solve for the original price by cross multiplying numerator with denominator.
x(120) = 144(100)
120x = 14400
x= 120 pounds
The sum of the first 20 terms of an arithmetic sequence with the 18th term of 8.1 and a common difference of 0.25 is 124.5
Given,
18th term of an arithmetic sequence = 8.1
Common difference = d = 0.25.
<h3>What is an arithmetic sequence?</h3>
The sequence in which the difference between the consecutive term is constant.
The nth term is denoted by:
a_n = a + ( n - 1 ) d
The sum of an arithmetic sequence:
S_n = n/2 [ 2a + ( n - 1 ) d ]
Find the 18th term of the sequence.
18th term = 8.1
d = 0.25
8.1 = a + ( 18 - 1 ) 0.25
8.1 = a + 17 x 0.25
8.1 = a + 4.25
a = 8.1 - 4.25
a = 3.85
Find the sum of 20 terms.
S_20 = 20 / 2 [ 2 x 3.85 + ( 20 - 1 ) 0.25 ]
= 10 [ 7.7 + 19 x 0.25 ]
= 10 [ 7.7 + 4.75 ]
= 10 x 12.45
= 124.5
Thus the sum of the first 20 terms of an arithmetic sequence with the 18th term of 8.1 and a common difference of 0.25 is 124.5
Learn more about arithmetic sequence here:
brainly.com/question/25749583
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C. Because complementary angles are two angles whose sum equals 90 degrees so do 90-40=50 then 50x2= 100
