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3 years ago

PLZ HELP SCALE FACTOR TRIANGLE A. 10.5 cm B. 31.5 cm C. 63 cm D. 189 cm

Mathematics

1 answer:

Anarel [89]3 years ago

3 0

If two similar triangles have sides in the ratio a : b, then their areas are in the ratio a² : b².

We have the ratio:

$54:18=\dfrac{54}{18}=3:1$

Area of the smaler triangle = x

Area of the larger triangle = 567 cm²

Therefore we have the equation:

$567:x=3^2:1^2\\\\\dfrac{567}{x}=\dfrac{9}{1}\qquad|\text{cross multiply}\\\\9x=567\qquad|\text{divide both sides by 9}\\\\x=63$

<h3>Answer: C. 63 cm²</h3>

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given the arithemtic or geometric sequence, identify f(0) and the common difference ratio f(x) = 4-2/3x

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<u>Answer: </u>

Required value of f(0) = 4 and common difference of given sequence is $\frac{-2}{3}$

<u>Solution: </u>

Given sequence rule for arithmetic sequence is $\mathrm{f}(\mathrm{x})=4-\left(\frac{2}{3}\right) x$

We need to determine f(0) and common difference

Calculating f(0).

Substituting x = 0 in given sequence rule we get

$\begin{array}{l}{f(0)=4-\left(\frac{2}{3}\right) 0} \\ {=4-0=4}\end{array}$

Calculating common difference

Let’s first calculate f(1) and f(2).

Substituting x = 1 in given sequence rule

$\begin{array}{l}{\mathrm{f}(1)=4-\left(\frac{2}{3}\right) 1} \\ {=4-\left(\frac{2}{3}\right)=\frac{10}{3}}\end{array}$

$\mathrm{f}(2)=4-\left(\frac{2}{3}\right) 2=4-\left(\frac{4}{3}\right)=\frac{8}{3}$

Common Difference can be found by subtracting f(1) from f(2)

$\text { Common difference }=\mathrm{f}(2)-\mathrm{f}(1)=\left(\frac{8}{3}\right)-\left(\frac{10}{3}\right)=\frac{-2}{3}$

Hence required value of f(0) = 4 and common difference of given sequence is $\frac{-2}{3}$

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2 years ago

The function y = |x + 6| is a transformation of the parent function

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Answer:

in the lefthand direction

Step-by-step explanation:

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if it was -6, it was should right by 6 units

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If you would like to know how many cups of fruits are in the salad, you can calculate this using the following steps:

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Step-by-step explanation:

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So you can create the equation

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Where "r" is the radius.

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You know that its diameter is 16 centimeters.

Since the radius is half the diameter, you get that its volume is:

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According to the information given in the exercise, the diameter of the lime is 8 centimeters.

As it was explained above, the radius is half the diameter. Knowing that, you get that volume of the lime is the shown below:

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In order to find approximately how many times as great is the volume of theat grapefruit as the volume of that lime, you need to divide the volumes calculated above. Then:

$\frac{2,144.66\ cm^3}{268.08\ cm^3}\approx8\ times$

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3 years ago