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Natasha2012 [34]
3 years ago
6

How do the perimeters of the triangles compare? Original: height-18, slant-30, length-24 Scaled: height-6, slant-10, length-8 A)

the scaled triangles perimeter is 3x's larger than the original triangles perimeter. B) the scaled triangles perimeter is 6x's smaller than the original triangles perimeter C) the scaled triangles perimeter is 1/9 the size of the original triangles perimeter D) the scaled triangles perimeter is 1/3 the size of the original triangles perimeter
Mathematics
1 answer:
SVEN [57.7K]3 years ago
7 0

Answer:

D) the scaled triangles perimeter is 1/3 the size of the original triangles perimeter

Step-by-step explanation:

Given

Original:

Height = 18, Slant = 30, Length =24

Scaled:

Height =6, Slant=10, Length=8

Looking at the dimension of both triangles, The relationship between the original and the scaled copy is:

Scaled = \frac{1}{3} * Original

Hence, the perimeter is:

Perimeter (Scaled) = \frac{1}{3} * Perimeter (Original)

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( − 35 − 42 − 63 ) ∶ ( + 7 )
olga nikolaevna [1]

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F(t)=t^2+19t+60<br> What are the zeros of the function and what is the vertex of the parabola?
SVEN [57.7K]

Answer: -4,-15;\ \left(-\dfrac{19}{2},-\dfrac{121}{4}\right)

Step-by-step explanation:

Given

Function is F(t)=t^2+19+60

Zeroes of the function are

t^2+19t+60=0\\\\\Rightarrow t=\dfrac{-19\pm\sqrt{19^2-4\times 1\times 60}}{2\times 1}\\\\\Rightarrow t=\dfrac{-19\pm \sqrt{121}}{2}\\\\\Rightarrow t=\dfrac{-19\pm 11}{2}\\\\\Rightarrow t=-4,-15

Using completing the square method

y=t^2+2\times \dfrac{19}{2}t+\dfrac{19^2}{2^2}-\dfrac{19^2}{2^2}+60\\\\y=\left(t+\dfrac{19}{2}\right)^2+60-\dfrac{361}{4}\\\\y=\left(t+\dfrac{19}{2}\right)^2-\dfrac{121}{4}\\\\y+\dfrac{121}{4}=\left(t+\dfrac{19}{2}\right)^2\\\\\left(y-(-\dfrac{121}{4}\right)=\left(t-(-\dfrac{19}{2})\right)^2\\\\\text{The vertex is }\left(-\dfrac{19}{2},-\dfrac{121}{4}\right)

4 0
3 years ago
What expression can be used for estimating 868 divided by 28
weeeeeb [17]
868 is about 870, and 28 is about 30, so your expression would be 870 divided by 30 which would be 29 and the actual answer is 31, so your estimate would be close to your actual answer.
6 0
3 years ago
Read 2 more answers
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