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3 years ago

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Karyn wanted to cut three lengths of wood from a 10 foot long board. The length of threepieces she wanted to cut were feet, feet

, and feet. How much of the 10 footboard would be left over?

1 answer:

zysi [14]3 years ago

4 0

Answer:

$Wood\ remain = 1\frac{3}{4}$

Step-by-step explanation:

Note; given question is incomplete

Size of pieces = $1\frac{2}{3} ,2\frac{3}{4} , 3\frac{5}{6}$

Given:

Size of wood = 10 ft

Find:

How much wood remain

Computation:

Wood remain = $10-1\frac{2}{3} -2\frac{3}{4} - 3\frac{5}{6}$

$Wood\ remain = 10-\frac{5}{3} -\frac{11}{4} - \frac{23}{6}\\\\Wood\ remain = 10 - \frac{99}{12} \\\\Wood\ remain = 1\frac{3}{4}$

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3/4b = 3/7 what is B

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A manufacturer of cheese filled ravioli supplies a pizza restaurant chain. Based on data collected from its automatic filling p

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Step-by-step explanation:

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find the width of radius r if the width w of the shaded region is 2cm and its area is 176cm^2, use 22/7 for pi (its a full circl

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The area of a shape is the amount of space it can occupy.

<em>The value of r is 13</em>

From the question (see attachment), we have:

$\mathbf{A =176}$ --- area of the shaded region

$\mathbf{w = 2}$ --- the width of the shaded region

The area of the complete circle would be:

$\mathbf{A_1 =\pi (r + w)^2}$

The area of the small circle is:

$\mathbf{A_2 =\pi r^2}$

So, the area of the shaded region is:

$\mathbf{A = A_1 - A_2}$

Substitute known values

$\mathbf{176 =\pi (r + w)^2 - \pi r^2 }$

Substitute 2 for w

$\mathbf{176 =\pi (r + 2)^2 - \pi r^2 }$

Expand

$\mathbf{176 =\pi (r^2 + 4r + 4) - \pi r^2 }$

Open brackets

$\mathbf{176 =\pi r^2 + 4\pi r + 4\pi - \pi r^2 }$

Cancel out line terms

$\mathbf{176 =4\pi r + 4\pi }$

Divide through by 4

$\mathbf{44 =\pi r + \pi }$

Factor out pi

$\mathbf{44 =\pi(r+ 1) }$

Divide through by pi

$\mathbf{r + 1= \frac{44}{ \pi} }$

Substitute 22/7 for pi

$\mathbf{r + 1= \frac{44}{ 22/7} }$

Using a calculator, we have

$\mathbf{r + 1= 14}$

Solve for r

$\mathbf{r= 14 -1}$

$\mathbf{r= 13}$

Hence, the value of r is 13

Read more about areas of circles at:

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OLEGan [10]

Answer:

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Step-by-step explanation:

The image attached shown the graph for the rule $y= 2x+1$ .

In order to use the graph to predict the result for an input value of 7, you need to follow these steps:

- Draw a vertical line from $x=7$

- When the vertical line touches the graph, you must draw a horizontal line to the y-axis to find the y-value.

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You can observe in the graph that the output value associated with an input value of $x=3$ is $y=7$

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