Step-by-step explanation:
for the relationship of lengths of internal chords the product of both segments of a chord is equal for all intersecting chords.
in our case
(x+8)×8 = 7×16 = 112
8x + 64 = 112
8x = 48
x = 6
so, D-F = x + 8 = 6 + 8 = 14
so, C is correct
Answer:
7/5
Step-by-step explanation:
Ⓗⓘ ⓣⓗⓔⓡⓔ
Well, slope can be found using
y2-y2
x2-x1
So we just plug it in:
7-0
2+3
7/5 is your slope
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Answer:
a) A = π30² = 900π cm² ≈ 2,827 cm²
b) V = Ah = 900π80 = 72000π cm³ ≈ 226,195 cm³
Step-by-step explanation:
Solutions
1) The first step is to find the Least Common Denominator (LCD) of <span>3/8,1/8,1/3,1/4
</span>⇒ Start Listing Multiples
List out all multiples of each denominator, and find the first common one.
8: <span><span>8,16,24</span>
</span>
8 : <span>8,16,24
</span>
3 : <span>3,6,9,12,15,18,21,24
</span>
4 : <span><span>4,8,12,16,20,24</span>
</span>
Therefore, the LCD is <span>24
</span>⇒ By Prime Factors
List all prime factors of each denominator, and find the union of these primes.
8 : <span>2,2,2</span>
8 : <span>2,2,2</span>
3 : 3
4 : <span><span>2,2</span>
</span>
Therefore, the LCD is <span>2×2×2×3=24
</span>Make the denominators the same as the LCD
<span><span><span>3×3 / </span><span>8×3 </span></span>+<span><span>1×3 / </span><span>8×3 </span></span>−<span><span>1×8 / </span><span>3×8 </span></span>+<span><span>1×6 / </span><span>4×6
</span></span></span>Simplify. Denominators are now the same
<span><span>9 / 24</span>+<span>3 / 24</span>−<span>8 / 24</span>+<span>6 / 24
</span></span>Join all the denominators
<span><span>9+3−8+6 / </span>24
</span>Simplify
<span>10 / 24
</span>Simplify fraction 10 / <span>24</span>
<span>5 / 12</span>
The arc length formula is s = r*theta, where r is the radius and theta is the central angle in radians (not degrees).
Here, r = 3.4 cm and the central angle is 46 degrees. We MUST convert this measure 46 degrees into radians, using the conversion factor derived from 180 degrees = pi radians:
arc length = r*theta = (3.4 cm)*(46 degrees)*(pi rad) / (180 degrees) =
2.730 cm (to the nearest thousandth)
=
