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Dennis_Churaev [7]
3 years ago
12

Which set of ratios could be used to determine if one triangle is a dilation of the other

Mathematics
1 answer:
Lisa [10]3 years ago
3 0

Answer:

See explanation

\frac{3.6}{3}  =  \frac{5.4}{4.5}  =  \frac{6}{5}

Step-by-step explanation:

The two triangles are similar if the ratio of the corresponding sides are proportional.

The ratio of the corresponding sides are:

\frac{3.6}{3}  = 1.2

\frac{5.4}{4.5}  = 1.2

\frac{6}{5}  = 1.2

The set of ratios which could be used to determine if one triangle is a dilation of the other is

\frac{3.6}{3}  =  \frac{5.4}{4.5}  =  \frac{6}{5}

If there are multiple correct options then check this one too.

\frac{3}{3.6}  =  \frac{4.5}{5.4} =  \frac{5}{6}

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Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds a
kirill115 [55]

Answer:

12 feet per second.

Step-by-step explanation:

Please consider the complete question.

Ian tosses a bone up in the air for his dog, Spot. The height, h, in feet, that Spot is above the ground at the time t seconds after she jumps for the bone can be representedh(t)=-16t^2+20t.

What is Spot's average rate of ascent, in feet per second, from the time she jumps into the air to the time she catches the bone at t=1/2?  

We will use average rate of change formula to solve our given problem.

\text{Average rate of change}=\frac{f(b)-f(a)}{b-a}

\text{Average rate of change}=\frac{h(\frac{1}{2})-h(0)}{\frac{1}{2}-0}

\text{Average rate of change}=\frac{-16\cdot(\frac{1}{2})^2+20\cdot \frac{1}{2}-(-16\cdot(0)^2+20\cdot (0))}{\frac{1}{2}-0}

\text{Average rate of change}=\frac{-16\cdot\frac{1}{4}+10-(0)}{\frac{1}{2}}

\text{Average rate of change}=\frac{-4+10}{\frac{1}{2}}

\text{Average rate of change}=\frac{6}{\frac{1}{2}}

\text{Average rate of change}=\frac{2\cdot 6}{1}

\text{Average rate of change}=12

Therefore, Spot's average rate of ascent is 12 feet per second.

3 0
3 years ago
What is the inverse of f(x)= cube root of x +2.
DiKsa [7]
F(x)=\sqrt[3]{x+2}
to solve for the inverse of a function you do 4 steps:
1. subsitute f(x) with y
2. switch y and x places
3. solve for y
4. subsitute y with f⁻¹(x)

so we have
f(x)=\sqrt[3]{x+2}
subsitute f(x) with y
y=\sqrt[3]{x+2}
switch x and y
x=\sqrt[3]{y+2}
solve for y

x=\sqrt[3]{y+2}
cube both sides
x^{3}=y+2
subtract 2 from both sides
x^{3}-2=y

subsitute y with f⁻¹(x)
f⁻¹(x)=x^{3}-2



the answer is f⁻¹(x)=x^{3}-2



8 0
3 years ago
TW¯¯¯¯¯¯¯¯¯=14.6, CW¯¯¯¯¯¯¯¯¯=6, TU¯¯¯¯¯¯¯=21.2. Find the value of VW¯¯¯¯¯¯¯¯¯.
pogonyaev

TW x WU = CW x VW

Fill in the known values:

WU = TU - TW = 21.2 - 14.6 = 6.6

14.6 x 6.6 = 6 x VW

Simplify:

96.36 = 6VW

Divide both sides by 6:

VW = 96.36 / 6

VW = 16.06

Round to one decimal place:

VW = 16.1

The answer is D>

8 0
3 years ago
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What is the mode of the data set<br> 7|788|1447|9|0910|233311|8
marusya05 [52]
There is NO MODE for the data set because none of the numbers are repeated at least once.
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3 years ago
What's 468 to the 50 power
kykrilka [37]

i tried 2 different calculators and 3 different calculators the three online said the same answer whish is this 3.253064e+133 and my two calculators both said error try again literally but your answer is

<h2>3.253064e+133</h2>
5 0
3 years ago
Read 2 more answers
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