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3 years ago

Can you please help me with this it’s a dot plot for maths :)

Mathematics

1 answer:

sergey [27]3 years ago

4 0

Answer:

10.7

Step-by-step explanation:

The dots on the line represent the thicknesses measured so the lowest one recorded was 10.7.

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A farmer has 520 feet of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one s

Setler [38]

Answer:

$310\text{ feet and }210\text{ feet}$

Step-by-step explanation:

GIVEN: A farmer has $520 \text{ feet}$ of fencing to construct a rectangular pen up against the straight side of a barn, using the barn for one side of the pen. The length of the barn is $310 \text{ feet}$ .

TO FIND: Determine the dimensions of the rectangle of maximum area that can be enclosed under these conditions.

SOLUTION:

Let the length of rectangle be $x$ and $y$

perimeter of rectangular pen $=2(x+y)=520\text{ feet}$

$x+y=260$

$y=260-x$

area of rectangular pen $=\text{length}\times\text{width}$

$=xy$

putting value of $y$

$=x(260-x)$

$=260x-x^2$

to maximize $\frac{d \text{(area)}}{dx}=0$

$260-2x=0$

$x=130\text{ feet}$

$y=390\text{ feet}$

but the dimensions must be lesser or equal to than that of barn.

therefore maximum length rectangular pen $=310\text{ feet}$

width of rectangular pen $=210\text{ feet}$

Maximum area of rectangular pen $=310\times210=65100\text{ feet}^2$

Hence maximum area of rectangular pen is $65100\text{ feet}^2$ and dimensions are $310\text{ feet and }210\text{ feet}$

5 0

3 years ago

Can someone help meeee?

nadya68 [22]

Answer:

F ( 2 , -2)

Step-by-step explanation:

8 0

3 years ago

- the following functions.

77julia77 [94]

Answer:

(f+g)(1)

equals

Step-by-step explanation:

(f+g)(1) is f(1)+g(1).

f(1) means what y corresponds to x=1 so f(1)=-1.

g(1) means what y corresponds to x=1 so g(1)=4.

So (f+g)(1)=f(1)+g(1)=-1+4=3.

4 0

3 years ago

If N collected 4/20lb of cloth and Z collected 7/8lb of cloth.

love history [14]

First you need to give both fractions a common denominator lets say 40. So N would be 8/40 and Z would be 35/40, so Z collected more than N. All together they collected 43/40 which simplifies to be 1 and 2/40 which would again simplify to 1 and 1/20.

8 0

3 years ago

The sum of 43 and z is equal to 72.98. Enter the equation that represents the description.

Irina-Kira [14]

sum is an answer to an addition problem, so we have to add 43 and z. z+43=72.98

Subtract 43 on both sides.

z=29.98

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hope it helps

3 0

2 years ago

Read 2 more answers