Step-by-step explanation:
ab
= (5⁹⁹ * 2⁹⁸) * (5⁷² * 4³⁸)
= 2⁹⁸ * 2⁷⁶ * 5⁹⁹ * 5⁷²
= 2¹⁷⁴ * 5¹⁷¹
= 2³ * (2¹⁷¹ * 5¹⁷¹).
The 2¹⁷¹ * 5¹⁷¹ will give 171 ending zeroes as 2 * 5 = 10.
And there is a 8 infront as 2³ = 8.
Hence altogether there are 171 + 1 = 172 digits.
Answer:
75°
Step-by-step explanation:
∠ESK is the supplement of ∠EDK, so is 100°. ∠ESD = 1/2·arc ED, so is 25°. Since ...
∠ESK = ∠ESD + ∠DSK
you have ...
100° = 25° + ∠DSK . . . . fill in known values
75° = ∠DSK . . . . . . . . . . subtract 25°
_____
Regarding opposite angles of an inscribed quadrilateral
Chord EK divides the 360° circle into two arc: major arc EDK and minor arc ESK. The sum of those arcs is 360°. Each of the inscribed angles that intercepts those arcs has half the measure of the arc. That is, ∠ESK intercepts arc EDK, so has half its measure. Likewise, ∠EDK intercepts arc ESK, so has half its measure. The sum of those opposite angles will be the sum of half the measures of the arcs, so half the sum of the arcs, or 1/2·360° = 180°.
This is why we can say ∠ESK is the supplement of ∠EDK.
Answer:
6.7 units
Step-by-step explanation:
The distance between two points can be found using the formula below:

Thus, distance between (-1, 2) and (2, -4)
![= \sqrt{( - 4 - 2)^{2} + { [2-(-1) ]}^{2} }](https://tex.z-dn.net/?f=%20%3D%20%20%5Csqrt%7B%28%20-%204%20-%202%29%5E%7B2%7D%20%2B%20%20%7B%20%5B2-%28-1%29%20%5D%7D%5E%7B2%7D%20%20%7D%20)



= 6.7 units (nearest tenth)
Additional:
For a similar question on distance between points, do check out the following!
Answer:
An exponential function in the form y=9(4ˣ)
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that exponential function
y = a bˣ ...(i)
The equation (i) passes through the point (0,9)
9 = a (b )⁰ = a
a =9
<u><em>Step(ii):-</em></u>
The equation (i) passes through the point (3,576)
576 = 9(b)³
⇒ 
⇒ 64 = b³
⇒ 4³ = b³

b = 4
<u><em>Final answer:-</em></u>
An exponential function in the form y=abˣ
An exponential function in the form y=9(4ˣ)
<u><em></em></u>
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