Answer:
Step-by-step explanation:
We want to write an exponential function that goes through the points (0, 20) and (6, 1280).
The standard exponential function is given by:
The point (0, 20) tells us that <em>y</em> = 20 when <em>x</em> = 0. Hence:
Simplify:
So, our exponential function is now:
Next, the point (6, 1280) tells us that <em>y</em> = 1280 when <em>x</em> = 6. Thus:
Solve for <em>b</em>. Divide both sides by 20:
Therefore:
Hence, our function is:
The area of the circle A and B is 86.54 inches and 124.62 mm
According to the statement
we have given that the radius of the circle A and b and we have to find the area of the given circle.
So, we know that the
The area enclosed by a circle of radius r is πr².
So, For area of the circle
For condition A :
diameter = 10.5 inches
then radius = 5.25
Area = πr²
Area = 3.14*27.56
Area = 86.54 inches
Now, For condition B :
radius = 6.3 mm
Area = πr²
Area = 3.14*39.69
Area = 124.62mm
So, The area of the circle A and B is 86.54 inches and 124.62 mm
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Answer:
x = 17
Step-by-step explanation:
8x - 9 + 53 = 180 (collect like terms)
8x + 44 = 180 (subtract 44 on both sides)
8x = 136 (divide by 8 on each side)
x = 17
HOpe this helps!!
The correct answer is: Option 15.20
Explanation:
At the end of her last billing the amount = $760
The minimum monthly payment of Janet's card is 2%.
To find the monthly payment, we need to find the 2% of $760.
Therefore,
$760 * 2 / 100 = $15.20 > $10
Answer:
Step-by-step explanation:
From the picture attached,
In ΔABC and ΔGFE,
AC ≅ EG [Given]
BC ≅ EF [Given]
AB ≅ FG [Given]
By the SSS property of congruence, ΔABC ≅ ΔGFE
The two triangles are related by SSS property of congruence, so the triangles are congruent.