All categories

3 years ago

A machinist is allowed 1% tolerance on a shaft that measures 15 inches long. What is the amount of tolerance

2 answers:

8 0

Tolerance = 1% = 0.01 on a shaft of 15 in
Tolerance in inches = 15 x 0.01 =0.15 in
Since it' s a tolerance the acceptable error is either +0.15in or -0.15 in

Rus_ich [418]3 years ago

4 0

Answer:

0.15 inches.

Step-by-step explanation:

We have been given that a machinist is allowed 1% tolerance on a shaft that measures 15 inches long.

The amount of tolerance would be 1% of 15 inches.

$\text{The amount of tolerance}=\frac{1}{100}\times \text{15 inches}$

$\text{The amount of tolerance}=0.01\times \text{15 inches}$

$\text{The amount of tolerance}=\text{0.15 inch}$

Therefore, the amount of tolerance is 0.15 inches.

You might be interested in

What is the slope of the line containing (6, -7) and (5, -9)?<br> A) 1<br> B) -2.<br> C) 2<br> D) 16

zloy xaker [14]

Answer: C

Step-by-step explanation:

y2-y1/x2-x1

-9+7/5-6 = 2

7 0

3 years ago

Suppose a parabola has an axis of symmetry at x=-5, a maximum height of 9, and passes through the point (-7,1). Write the equati

Nutka1998 [239]

the parabola has maximum at 9, meaning is a vertical parabola and it opens downwards.

it has a symmetry at x = -5, namely its vertex's x-coordinate is -5.

check the picture below.

so then, we can pretty much tell its vertex is at (-5 , 9), and we also know it passes through (-7, 1)

$\bf ~~~~~~\textit{parabola vertex form} \\\\ \begin{array}{llll} y=a(x- h)^2+ k\qquad \leftarrow \textit{using this one}\\\\ x=a(y- k)^2+ h \end{array} \qquad\qquad vertex~~(\stackrel{}{ h},\stackrel{}{ k}) \\\\[-0.35em] \rule{34em}{0.25pt}\\\\ \begin{cases} h=-5\\ k=9 \end{cases}\implies y=a[x-(-5)]^2+9\implies y=a(x+5)^2+9$

$\bf \textit{we also know that } \begin{cases} x=-7\\ y=1 \end{cases}\implies 1=a(-7+5)^2+9 \\\\\\ -8=a(-2)^2\implies -8=4a\implies \cfrac{-8}{4}=a\implies -2=a \\\\[-0.35em] ~\dotfill\\\\ ~\hfill y=-2(x+5)^2+9~\hfill$

7 0

3 years ago

Which are the roots of x^2-4x+4=20

Marysya12 [62]

X2+-4x+4=20 the final answer is 20!

3 0

3 years ago

Turn 3x+8y=14.50 in a y equals equation

zlopas [31]

Answer:

y= (-3x +14.50) / 8

Step-by-step explanation:

Isolate the 8y

Subtract 3x from both sides

8y = -3x + 14.50

Then, isolate the left to only y

y= (-3x +14.50) / 8

7 0

3 years ago

20.) A=49.23 degrees, c=54.8Solve the right triangle. Express angles in decimal degrees.

vivado [14]

$\begin{gathered} a=41.50 \\ b=35.78 \\ B=40.76\text{ \degree} \\ \end{gathered}$

Explanation

Step 1

a) let

$\begin{gathered} A=49.23\text{ \degree} \\ c=54.8\text{ \degree} \end{gathered}$

b) b value

to find the measure of side b we can use cosine function

$\begin{gathered} cos\theta=\frac{adjacent\text{ side}}{hypotenuse} \\ replace \\ cos\text{ 49.23=}\frac{b}{54.8} \\ b=54.8*cos49.23 \\ b=35.78 \end{gathered}$

c) angle B

to find the measure of Angle B we can use sine function

$\begin{gathered} sin\theta=\frac{opposite\text{ side}}{hypotenuse} \\ replace \\ sin\text{ B=}\frac{35.78}{54.8} \\ sin\text{ B= 0.65}\Rightarrow inverse\text{ function to isolate B} \\ B=\sin^{-1}(0.65) \\ B=40.76 \end{gathered}$

d) side a

$\begin{gathered} sin\theta=\frac{opposite\text{ side}}{hypotenuse} \\ sin\text{ A=}\frac{a}{c}=\frac{\placeholder{⬚}}{\placeholder{⬚}} \\ sin\text{ 49.23=}\frac{a}{54.8} \\ multiply\text{ both sides by 54.8} \\ 54.8s\imaginaryI n\text{49.23=}\frac{a}{54.8}*54.8 \\ 41.50=a \end{gathered}$

so, the answer is

$\begin{gathered} a=41.50 \\ b=35.78 \\ B=40.76\text{ \degree} \\ \end{gathered}$

I hope this helps you

7 0

1 year ago