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2 years ago

Decide!!!!!!!!!!!!!!!!

Mathematics

1 answer:

ikadub [295]2 years ago

4 0

Answer:

6 + 5 = 11

Step-by-step explanation:

6 + 2 = 4, given

2 → 5, move two matchsticks, #10 and #12
4 → 11, move one matchstick, #18

6 + 5 = 11, correct

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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

2 years ago

Someone help me with this ASAP

Archy [21]

Answer:

1:6

3/5×2=6/10

2:14

21÷3=7

2×7=14

8 0

2 years ago

Read 2 more answers

A wooden rod of 5 m 75 cm was cut into 5 equal pieces. What is the length of each piece.

hram777 [196]

We have: 5m 75cm = 5.75 m

So the length of each piece is : $l = \frac{5.75}{5} =1.15$

ok done. Thank to me :>

6 0

2 years ago

Two of the exterior angles of a triangle are $158^\circ$ and $99^\circ.$ Find the third exterior angle, in degrees.

Lisa [10]

Answer:

The third exterior angle is $103^o$

Step-by-step explanation:

Given

$\theta = 158^o$

$\alpha = 99^o$

Required

The third exterior angle $(\beta)$

The exterior angles of a triangle add up to 360 degrees.

So:

$\theta + \alpha + \beta = 360^o$

Make $\beta$ the subject

$\beta = 360^o - (\theta + \alpha)$

Substitute known values

$\beta = 360^o - (158^o + 99^o)$

$\beta = 103^o$

4 0

2 years ago

An auto manufacturer wants their line of cars to have a median gas mileage of 25 miles per gallon or higher. The gas mileage for

sukhopar [10]

They meet their median goal because if you rearrange the numbers from lowest to highest, the median mileage of their line of cars would be 19,23,25,26,29. There are five numbers of car mileages therefore 25 would serve as the median for all five mileages.

3 0

3 years ago