Answer:397/28
Step-by-step explanation:
96/7+13/28
By Pythagorean theorem we find that the length of the hypotenuse is 
.
<h3>How to find the length of the hypotenuse</h3>
In the image attached we have a <em>right</em> triangle with two legs of <em>same</em> length. The hypotenuse of <em>right</em> triangles can be found by Pythagorean theorem, whose form is:
, where l is the length of the legs.
By Pythagorean theorem we find that the length of the hypotenuse is .
To learn more on Pythagorean theorem: brainly.com/question/26183488
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Answer:
Step-by-step explanation:
Given that,
The arc length is four times the radius
Let he radius be 'r'
Then, the arc length be 's'
The arc of a sector can be calculated using
s=θ/360 × 2πr
Then, given that s=4r
So, 4r = θ × 2πr / 360
Divide both side r
4 = θ × 2π/360
Then, make θ subject of formula
θ × 2π = 360 × 4
θ = 360 × 4 / 2π
θ = 720 / π
So, area of the sector can be determine using
A = θ / 360 × πr²
Since r = ¼s
Then,
A = (θ/360) × π × (¼s)²
A = (θ/360) × π × (s²/16)
A = θ × π × s² / 360 × 16
Since θ = 720 / π
A = (720/π) × π × s² / 360 × 16
A = 720 × π × s² / 360 × 16 × π
A = s² / 8
Then,
s² = 8A
Then,
s= √(8A)
s = 2 √2•A
Answer:
B. 2 + 6x and 2(3x + 1) Choose
D. 3x and 4(x + 1) – x – 4 Choose...
E. 5.5 + 2.1x + 3.8x – 4.1 and 1.4 + 5.9x Choose...
Step-by-step explanation:
A. 3x + 14 – x + 112 and 4x + 134 Choose...
3x + 14 - x + 112
= 2x + 126
And
4x + 134
Not equivalent
B. 2 + 6x and 2(3x + 1) Choose...
2 + 6x
And
2(3x + 1)
= 6x + 2
Yes, equivalent
C. 3(x + 1) – (1 + x) and 2x + 3 Choose...
3(x + 1) - (1 + x)
3x + 3 - 1 - x
2x + 2
And
2x + 3
No, not equivalent
D. 3x and 4(x + 1) – x – 4 Choose...
3x
And
4(x + 1) - x - 4
= 4x + 4 - x - 4
= 3x
Yes, equivalent
E. 5.5 + 2.1x + 3.8x – 4.1 and 1.4 + 5.9x Choose...
5.5 + 2.1x + 3.8x - 4.1
1.4 + 5.9x
And
1.4 + 5.9x
Yes, equivalent
