Answer:
onse sec and ill help
Step-by-step explanation:
1.4 a - b expression is equivalent to 0.8a−2(b−0.3a)+b.
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0.8a - 2 (b - 0.3a) + b
Expand the expression.
0.8a - 2b - 2(-0.3a) + b
Determine the sign.
0.8a - 2b - 2*0.3a + b
Multiply the monomials.
0.8a - 2b +0.6a + b
Combine like terms.
1.4a - b
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Answer: 1.4a-b
Step-by-step explanation:
The given number 480 divided by 60 equals 8.
The division process involves successive subtraction of the divisor from the dividend until the remainder becomes less than the divisor.
To 480 divided by 60, to perform this division by dividing 480 by 60, resulting in a quotient of 8.
Division is an arithmetic operation that separates a number into equal groups, in this case, 480 is divided into 60 groups of equal size, and each group contains 8 items.
Dividing 480 by 60 can also be represented as 480 ÷ 60 = 8.
Hence, divide the given number 480 by 60 is equal to 8.
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Answer:
8
Step-by-step explanation:
B. 12k^4 - 16k^3 + 9k^2
C. -12k^3 + 20k
D. k^4 + 9k^2
2
4
Answer: The first term of the sequence is 4.
Step-by-step explanation:
Let a be the first term of the sequence,
Here, the common ratio of the sequence is 2,
Thus, the sequence is,
a, 2a, 4a, 8a, 16a, 32a, .............., so on,...
Since, the sixth term of the sequence = 32a
According to the question,
32 a = 128
⇒ a = 4
Thus, the first term of the sequence is 4.
Answer with explanation:
The triangle in the Diagram Described has following measurement:
Longest Side = 65 units
One side which can be either Perpendicular or base = 63 units
And , other side which can be also, either Perpendicular or base = 16 units
We can prove that the triangle described is right triangle by two ways.
1. Using Converse of Pythagorean Theorem
Square of Longest side = Sum of Squares of other two sides-----(1)
So, Square of Longest Side = 65²=4225
Sum of Square of other two sides = 16² + 63²
= 256 + 3969
= 4225
Statement (1), is valid.
So,Triangle is right angled triangle, right angled at A.
2. using Trigonometric Ratios
Suppose the triangle is right Angled at A.
In Right triangle B AC
B +C =90°
Also,→ ∠A + ∠B + ∠C=180°≡ (Angle sum property of triangle)
→∠A +90°=180°
→∠A=180° -90°
→∠A=90°
So, triangle is right Angled triangle , Right angled at A.
Hence ,proved.