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3 years ago

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The wheels on Reggie’s bike each have a 20-in. diameter. His sister’s mountain bike has wheels that each have a 26-in. diameter.

To the nearest inch,
how much farther does Reggie’s sister’s bike travel in one revolution than Reggie’s bike?

1 answer:

ExtremeBDS [4]3 years ago

6 0

The answwer is 30 inches

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Someone please answer this is so hard for me I don’t know where to start or how to answer :(

mezya [45]

The given triangle is a right angle .

In this triangle for angle A side AC is adjacent side ,BC is opposite side and AB is hypotenuse.

Sin of any angle is the ratio of opposite and hypotenuse .

$sin=\frac{opposite}{hypotenuse}$

Substituting the values of opposite and hypotenuse

SinA= $\frac{12}{37}$

5 0

3 years ago

find the orthogonal projection of v= [19,12,14,-17] onto the subspace W spanned by [ [ -4,-1,-1,3] ,[ 1,-4,4,3] ] proj w (v) = [

12345 [234]

<h2>Answer:</h2>

Hence, we have:

$proj_W(v)=[\dfrac{464}{21},\dfrac{167}{21},\dfrac{71}{21},\dfrac{-131}{7}]$

<h2>Step-by-step explanation:</h2>

By the orthogonal decomposition theorem we have:

The orthogonal projection of a vector v onto the subspace W=span{w,w'} is given by:

$proj_W(v)=(\dfrac{v\cdot w}{w\cdot w})w+(\dfrac{v\cdot w'}{w'\cdot w'})w'$

Here we have:

$v=[19,12,14,-17]\\\\w=[-4,-1,-1,3]\\\\w'=[1,-4,4,3]$

Now,

$v\cdot w=[19,12,14,-17]\cdot [-4,-1,-1,3]\\\\i.e.\\\\v\cdot w=19\times -4+12\times -1+14\times -1+-17\times 3\\\\i.e.\\\\v\cdot w=-76-12-14-51=-153$

$w\cdot w=[-4,-1,-1,3]\cdot [-4,-1,-1,3]\\\\i.e.\\\\w\cdot w=(-4)^2+(-1)^2+(-1)^2+3^2\\\\i.e.\\\\w\cdot w=16+1+1+9\\\\i.e.\\\\w\cdot w=27$

and

$v\cdot w'=[19,12,14,-17]\cdot [1,-4,4,3]\\\\i.e.\\\\v\cdot w'=19\times 1+12\times (-4)+14\times 4+(-17)\times 3\\\\i.e.\\\\v\cdot w'=19-48+56-51\\\\i.e.\\\\v\cdot w'=-24$

$w'\cdot w'=[1,-4,4,3]\cdot [1,-4,4,3]\\\\i.e.\\\\w'\cdot w'=(1)^2+(-4)^2+(4)^2+(3)^2\\\\i.e.\\\\w'\cdot w'=1+16+16+9\\\\i.e.\\\\w'\cdot w'=42$

Hence, we have:

$proj_W(v)=(\dfrac{-153}{27})[-4,-1,-1,3]+(\dfrac{-24}{42})[1,-4,4,3]\\\\i.e.\\\\proj_W(v)=\dfrac{-17}{3}[-4,-1,-1,3]+(\dfrac{-4}{7})[1,-4,4,3]\\\\i.e.\\\\proj_W(v)=[\dfrac{68}{3},\dfrac{17}{3},\dfrac{17}{3},-17]+[\dfrac{-4}{7},\dfrac{16}{7},\dfrac{-16}{7},\dfrac{-12}{7}]\\\\i.e.\\\\proj_W(v)=[\dfrac{464}{21},\dfrac{167}{21},\dfrac{71}{21},\dfrac{-131}{7}]$

6 0

3 years ago

Write in point-slope form an equation of the line that passes through the given point and has the given slope: (5,11); m = 4/5.

umka2103 [35]

Answer:

b. y -11 = 4/5(x -5)

Step-by-step explanation:

5 0

3 years ago

Can anyone solve this?

vazorg [7]

Answer:

x = 8cm

Step-by-step explanation:

x = 3cm + 5cm
x = 8cm

#IhopeThisHelp

3 0

2 years ago

If 5 (m-3)-4(m-2) =0 then m is?? Pls i need this ans really fast

77julia77 [94]

Answer:

$m=7$

Step-by-step explanation:

$5\left(m-3\right)-4\left(m-2\right)=0$

$5\left(m-3\right)-4\left(m-2\right)$

$5m-15-4m+8$

$m-7$

$m-7+7=0+7$

$m=7$

GOOD LUCK!! :)

5 0

3 years ago