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2 years ago

Find the approximate area of the shaded region below, consisting of a right triangle with a circle cut out of it.

Mathematics

1 answer:

Kazeer [188]2 years ago

7 0

Answer:

π×10^2=314.15

Step-by-step explanation:

hope it helps

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Solve the system of linear equations by solving y<2x-4

sasho [114]

Answer:

y can be anything smaller than x

Step-by-step explanation:

because i said it was

6 0

2 years ago

The line y =3x-5 meet x-axis at the point M. The line 3y+2x=2 meets y-axis at point N. Find the equation of the line joining M a

Law Incorporation [45]

<u>Answer-</u>

<em>The line equation is,</em>

$\boxed{\boxed{6x+15y-10=0}}$

<u>Solution-</u>

The line $y =3x-5$ meets x-axis at the point M, i.e M is the x-intercept of this line. At the x-intercept y=0, so

$\Rightarrow 0 =3x-5$

$\Rightarrow 3x=5$

$\Rightarrow x=\dfrac{5}{3}$

So, coordinate of M is $(\dfrac{5}{3},\ 0)$

The line $3y+2x=2$ meets y-axis at point N, i.e N is the y-intercept of this line. At the y-intercept x=0, so

$\Rightarrow 3y+2(0)=2$

$\Rightarrow 3y=2$

$\Rightarrow y=\dfrac{2}{3}$

So, coordinate of N is $(0,\ \dfrac{2}{3})$

The line joining M and N can be found out by applying two point formula of straight line,

$\Rightarrow \dfrac{y-y_1}{y_2-y_1}=\dfrac{x-x_1}{x_2-x_1}$

$\Rightarrow \dfrac{y-0}{\frac{2}{3}-0}=\dfrac{x-\frac{5}{3}}{0-\frac{5}{3}}$

$\Rightarrow \dfrac{y}{\frac{2}{3}}=\dfrac{x-\frac{5}{3}}{-\frac{5}{3}}$

$\Rightarrow -\dfrac{5}{3}y=\dfrac{2}{3}(x-\frac{5}{3})$

$\Rightarrow -5y=2(x-\dfrac{5}{3})$

$\Rightarrow -5y=2x-\dfrac{10}{3}$

$\Rightarrow 2x+5y-\dfrac{10}{3}=0$

As it is given that all the coefficients are integers, so multiplying with 3

$\Rightarrow 6x+15y-10=0$

4 0

2 years ago

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You earn 5% commission on all sales, plus a $400 salary each week. If you sold $10,000 worth of merchandise in a two-week period

Romashka [77]

You would get $1300 dollars for that week

8 0

3 years ago

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how much more expensive per ounce is a 15 ounce bottle of mango juice for $3.45 than a 32 ounce bottle of mango juice for $5.12

nikitadnepr [17]

Answer:How much more expensive per ounce is a 15-ounce bottle of mango juice for $3.45 than a 32-ounce bottle of mango juice for $5.12? 15 oz. =. 23/oz.

Step-by-step explanation:sorry if it’s wrong

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2 years ago

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Grade 5 farm has 85 rows of cabbages.If there are 58 cabbages in each row ,how many cabbages are there in the farm to the neares

ElenaW [278]

The number of cabbages on the farm to the nearest thousand is 5000 based on the given parameters

<h3>How to determine the number of cabbages on the farm to the nearest thousand</h3>

The number of rows is given as:

Number of rows = 85

The number of cabbage on each row is

Number of Cabbage on each row = 58

The number of cabbages on the farm is calculated as:

Farm = Number of rows * Number of Cabbage on each row

Substitute the known values (i.e. Number of rows = 85 and Number of Cabbage on each row = 58) in the above equation

Farm = 85 * 58

Evaluate the product of 85 and 58

Farm = 4930

Approximate the above result (i.e. 4930) to the nearest thousand

Farm = 5000

Based on the given parameters, the number of cabbages on the farm to the nearest thousand is 5000

So, the complete parameters are:

Number of rows = 85

Number of Cabbage on each row = 58

Number of Cabbage in the farm = 5000