Answer:
7/30
Step-by-step explanation:
1/6 = 1x5/6x5
= 5/30
1/15= = 1x2/1x15
=2/30
2/30 + 5/30 = 7/30
Answer:
$95.38
Step-by-step explanation:
step 1
Find the area of one button
The area is equal to

we have
---> the radius is half the diameter
Convert to meters

assume

substitute

step 2
Find the area of 1,00 buttons
Multiply by 1,000

step 3
Find the cost
Multiply $15 per square meter by the total area of 1,000 buttons

The point that the graphs of f and g have in common are (1,0)
<h3>How to get the points?</h3>
The given functions are:
f(x) = log₂x
and
g(x) = log₁₀x
We know that logarithm of 1 is always zero.
This means that irrespective of the base, the y-values of both functions will be equal to 0 at x=1
Therefore the point the graphs of f and g have in common is (1,0).
Learn more about graph on:
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Step-by-step explanation:
Area = ½ × b × h
= ½ × (7.9 + 10.8) × 6.2
= ½ × 18.7 × 6.2
= ½ × 115.94
= <u>5</u><u>7</u><u>.</u><u>9</u><u>7</u><u> </u><u>cm²</u>
So, the area of that trapezium is 57.97 cm²
<em>Hope </em><em>it </em><em>helpful </em><em>and </em><em>useful </em><em>:</em><em>)</em>
The smallest region that can be photographed is
5*7 = 35 square km
so we want to know how long it takes to zoom out to an area of
35 * 5 = 175 square km.
Notice that the length and width increase at the same rate, 2 km/sec, and they start out with a difference of two, so when the width has increased from 5 to x, the length will have increased from 7 to x+2. At the desired coverage area, then,
x(x+2) = 175
x^2 + 2x = 175
x^2 + 2x + 1 = 176 [completing the square]
(x+1)^2 = 176
x+1 = ±4√11
x = -1 ±4√11
Since a negative value for x is meaningless here, x must be
-1 + 4√11 = about 12.27 km
and the time it took to increast to that value was
(12.27 - 5) km / (2 km/sec) = about 3.63 seconds