Answer:
32cm and 28cm
Step-by-step explanation:
Area of a trapezium=0.5 ( sum of parallel sides ) × height
600=0.5( 4+a+a)×20
where a is the length of the shorter side
600÷0.5=(4+2a)×20
1200=(4+2a)×20
1200÷20=4+2a
60=4+2a
60-4=2a
56=2a
56÷2=a
28=a.
since the longer side is 4 cm more than th shorter side , 28 +4=32
Answer:
2⁵× 2ˣ = 256
x= 3
(1/3)² (1/3)ˣ = 1/729
x= 4
Step-by-step explanation:
2⁵× 2ˣ = 256
x= 3
use Product Rule: xᵃxᵇ=xᵃ⁺ᵇ
convert both sides to the same base.
2⁵⁺ˣ = 2⁸
cancel the base of 2 on both sides.
5+x=8
subtract 5 from both sides.
x=8-5
simplify 8-5 3.
x=3
(1/2)² (1/3)ˣ = 1/729
x = 4
use division distributive property: (x/y)ᵃ=xᵃ/yᵃ
i hope this helped i didn't feel like typing the rest out though lol :(
First get like things on the same side:
-5/6b - 1/2b= -2/3 - 3/4
Then find equivalent fractions to make the equation easier to solve.
-5/6b - 3/6b= -8/12 - 9/12
Then just add things together and solve.
-8/6b= -17/12
-8b= 6(-17/12)
-8b= -17/2
b= (-17/2)/-8
b= 17/16
You can then plug the answer back into the original question to make sure it is the correct answer.
The absolute difference between the greatest and the least of these three numbers in the arithmetic sequence is 10.
The sequence is an arithmetic sequence. Therefore,
d = common difference
let
a = centre term
Therefore, the 3 consecutive term will be as follows
a - d, a, a + d
a - d + a + a + d = 27
3a = 27
a = 27 / 3
a = 9
Therefore,
(a-d)² + (a)² + (a + d)² = 293
(a²-2ad+d²) + 9² + (a² + 2ad + d²) = 293
(81 - 18d + d²) + 81 + (81 + 18d + d²) = 293
243 + 2d² = 293
2d² = 50
d² = 50 / 2
d = √25
d = 5
common difference = 5
Therefore, the 3 numbers are as follows
9 - 5 , 9, 9 + 5 = 4, 9, 14
The difference between the greatest and the least of these 3 numbers are as follows:
14 - 4 = 10
learn more on Arithmetic progression: brainly.com/question/25749583?referrer=searchResults
