The answer that goes in the blank is: 3
Note: The "pi" portion is already taken care of, so there's no need to enter it in the box.
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Explanation:
The distance around the entire circle is found by the circumference formula
C = 2*pi*r
where r is the radius.
In this case, r = 27, so,
C = 2*pi*r
C = 2*pi*27
C = 2*27*pi
C = 54*pi
The full distance around the circle is exactly 54pi units
We only want a small portion of it. We only want 20/360 = 2/36 = 1/18 of that distance
So multiply (1/18) by 54pi and we get...
(1/18)*(54pi) = (54/18)*pi = 3pi
So the length along the curve from A to B (or vice versa) is exactly 3pi units.
1) 6^(3x)=104
loga =logarithm to the base a
loga n=z ⇔a^z=n
Therefore:
log6 104=3x
x=(log6 104) / 3
x=(ln 104) / 3ln 6=0.8640279....≈0.864 (loga z=ln a / ln z)
Answer: x≈0.864
2) log3 (x+2)+ log3 (4x-1)=5
log3 x=5 ⇔ 3⁵=x ⇒x=243
log3 [(x+2)(4x-1)]=log3 243
log3 (4x²+7x-2)=log3 243
Therefore:
4x²+7x-2=243
4x²+7x-245=0
we solve this square equation:
x=[-7⁺₋√(49+3920)] / 8 =(-7⁺₋63) / 8
we have two solutions:
x₁=(-7-63) / 8=-8.75 this solution is not valid.
x₂=(-7+63) /8=7
Answer: x=7
Your answer to this question that you have asked is three dollars =. 3$
$3.00
Since triangle ABC is a right triangle (90*), and angle ACB 45*, angle CAB must also equal 45*
Angles of triangle = 180=90+45+x
180=135+x
180-135=135-135+x
45=x
It will take you 2 hours since ur going 70 mph divide the 140 mph by 70mph . Hope this helps :)