Answer:
≈419.4 cm.
Step-by-step explanation:
To solve this problem, you will need to set up an exponential graph as shown:
y= 40 ·
The 40 represents the initial height of the tree, while (1.6) represents the annual growth rate. 'x' represents the amount of years elapsed.
We can simply solve this by substituting 5 for x:
y= 40· 
y ≈ 419.4 cm.
Answer:
132.25 feet
Step-by-step explanation:
Since the function is a quadratic representing height, and the coefficient of the t² is negative, the vertex of the parabola will be the maximum height achieved by the ball.
The general form for a quadratic equation is ax² + bx + c,
here a is -16, and b is 92
To find the x coordinate of the vertex, use x = -b/(2a)
We have x = -92/[2(-16)]
x = -92/-32
x= 23/8
Now plug that into the equation to find the y value, which will be the height...
y = 92(23/8) - 16(23/8)²
y = 2116/8 - 16(529/64)
y = 1058/4 - 529/4
y = 529/4
y = 132.25
It's B. Your scale factor is 2:3 from larger to smaller, so it's 3:2 from smaller to larger. Then of course you moved it up and to the left.
Given that:
In ∆AMN and ∆TPE
MA = PE (Side )
∠AMN = ∠TPE (angle)
MN = PT (Side)
By SAS Property
∆ MAN =~ ∆ PET
∆ MAN =~ ∆ PET are congruent triangles .
<u>Answer:-</u> ∆ MAN =~ ∆ PET
<em>Additional</em><em> comment</em><em>:</em>
SAS Property:-
In two triangles , The two sides and the included angle are equal to the corresponding two sides and the included angle of the second triangle then they are congruent and this property is called Side-Angle-Side (SAS) Property.
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