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11111nata11111 [884]
3 years ago
15

Formula1" title=" \frac{9}{32} . \frac{5}{6} . \frac{8}{15} " alt=" \frac{9}{32} . \frac{5}{6} . \frac{8}{15} " align="absmiddle" class="latex-formula">
Mathematics
1 answer:
fomenos3 years ago
4 0

( \frac{9}{32}  \times  \frac{5}{6}  )\times  \frac{8}{15}  \\
Let's do the bracket part first,
and solve further as shown,
( \frac{3}{32}  \times  \frac{5}{2}) \times  \frac{8}{15}  \\  = \frac{15}{64}  \times  \frac{8}{15}  \\  =  \frac{8}{64} \\   =  \frac{1}{8}
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One label on a package of bolts says that each bolt has a diameter of 0.45 inch. To be in the package, the percent error of the
Lemur [1.5K]

Answer:

  • No, should not

Step-by-step explanation:

The diameter is 0.45 in

The percent error is < 4%

<u>The lower limit of allowance is:</u>

  • 0.45 - 4% =
  • 0.45*(1 - 0.04) =
  • 0.45*0.96 =
  • 0.432

Less than 4% error means the diameter should be greater than 0.432 in.

The bolt with the diameter 0.43 in is outside of the allowance and should <u>not</u> go into the package

7 0
3 years ago
Through (-2, -3), perp. to y = x- 2/1
WARRIOR [948]

Answer:

The equation of line passing through point ( - 2 , - 3 ) and slope 1 is          y = x - 1

Step-by-step explanation:

Given equation of line as :

y = x - \frac{2}{1}

i.e y = x - 2

The standard equation of line is given as

y = m x + c ,

where m is the slope of the line and c is the y-intercept

Now, comparing the line , we have

Slope = m = 1

Now, The other line is perpendicular to the first line

So, from perpendicular property of line

The product of their slope = - 1

Let The slope of other line = M

So,  m × M = - 1

Or,  ( - 1 ) × M = - 1

or M = \frac{- 1}{- 1}

∴  M = 1

So , The slope of other line = M = 1

∵ The other line is passing through point ( x , y ) =  ( - 2 , - 3 )

Now, satisfying the points and slope with standard line equation

I.e y = M x + c

or, - 3 = 1 × ( - 2 ) + c

or, -3 = - 2 + c

or, - 3 + 2 = c

∴  c = - 1

So, The intercept of other line = c = - 1

Now The equation of line with slope intercept

y = 1 × x + ( - 1 )

Or, y = x - 1

Hence The equation of line passing through point ( - 2 , - 3 ) and slope 1 is  y = x - 1       Answer

5 0
3 years ago
Find the slope of the line that passes through (84, 7) and (85, -25). Simplify your answer and write it as a proper fraction, im
Eddi Din [679]

Answer: The slope is -32

Explanation:

Start with the slope formula:

m= (y2 - y1) / (x2 - x1)

Substitute point values in the formula

m = (-25 - 7) / (85 - 84)

Simplify each side of the equation

m= (-25 - 7) / (85 - 84) = -32/1

Solve for slope (m)

m= -32

5 0
3 years ago
The spinner below is spun three times, find all possible outcomes. the spinner has 12 numbers
Simora [160]

For the spinner with 3 sectors, the total number of outcomes for 3 spins is 27.

<h3></h3><h3>What is the combination?</h3>

A combination is a mathematical technique that determines the number of possible arrangements.

Let's we have to define

A, B, and C, as the regions in the spinner.

So, we spin it 3 times, and for each of these times there are 3 outcomes, so the outcomes will be of the form:

The outcome of spin 1, the outcome of spin 2, outcome of spin 3.

The total number of  different outcomes will be:

3^3 = 27

To learn more about combinations visit:

brainly.com/question/11732255

#SPJ1

8 0
2 years ago
PLEASE HELP ME WITH MY MATH
Alina [70]

Answer:

Step-by-step explanation:

1)

y is 3 times more than x.

X=0 Y=0  3x0=0

X=1  Y=3

X=2 Y=6

X=3 Y=9

X=4 Y=12

Then just plot it as co-ordinates (x,y)

2)

Y is 1/4 of x. Divide by 4

X=0 Y=0

X=4 Y=1

X=8 Y=2

X=12 Y=3

X=16 Y=4

Then just plot it as co-ordinates (x,y)

8 0
3 years ago
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