Answer:
x = 8
Step-by-step explanation:
In a circle if two chord intersects as shown in figure
and length of a chord at point of intersection is a and b
and length of another chord at point of intersection is c and b
a*b = c*d
using this relation here, we have
8*(x+7) = 10 * (4 +x)
=> 8x + 56 = 40 + 10x
subtracting 40 and 8x from both sides
=>8x + 56 - 8x -40= 40 + 10x -8x -40
=> 16 = 2x
=> x = 16/2 = 8
Thus, x = 8
Answer:
75.39 in^2
Step-by-step explanation:
circumference=2πr
30.8=2(3.14)r
30.8=6.28r
4.9=r
Now that we know the radius, we can plug it in for the area equation
area=πr^2
area=(3.14)(4.9)^2
area=(3.14)(24.01)
area=75.39 in^2
Answer:
DE = 44.88 EF = 46.46 Angle D = 84 degrees
Step-by-step explanation:
To find the measure of DE, find the tan of 61 degrees
tan 61 = x/12
3.74 = x/12 Multiply both sides by 12
x = 44.88 for the measure of DE
To find EF, use Pythagorean Theorem
12^2 + 44.88^2 = C^2 Simplify
144 + 2014.21 = C^2 Add
2158.21 = C^2 Take the square root of both sides
C = 46.46 for the measure of EF
To find angle D, add 61 and 35 and subtract that from 180
61 + 35 + x = 180 Add
96 + x = 180
-96 -96 Subtract 96 from both sides
x = 84 degrees
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Answer:
Step-by-step explanation:
First, let's simplify the expression on the right:
Next, rewriting 1/x as x⁻¹, we can use the power rule to differentiate both sides with respect to x:
