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Express 4x−7y=14 in slope-intercept form. Enter your answers in the boxes.

devlian [24]

Y=2 7x2= 14
X= 7 4x7=28
28-14=14

5 0

2 years ago

The area of rectangular field is 1440 sq meters and perimeter is 152 metre. Out of length or breadth which one is to be decrease

Arturiano [62]

Answer:

If Length is decreased by 10% then it would become a square.

Step-by-step explanation:

Given:

Area of Rectangular field = 1440 sq. m

Perimeter = 152 m.

We need to find which one needs to be decreased by what percentage to make it a square.

Solution:

Let length be denoted by 'l'.

Also Let width be denoted by 'w'.

Now we know that Area of rectangular field is given by Length times width.

framing in equation form we get;

$l\times w = 1440 \ \ \ \ equation\ 1$

Also we know that Perimeter of rectangular field is given by 2 times sum of Length and width.

framing in equation form we get;

$2(l+w) =152\\\\l+w =\frac{152}{2}\\\\l+w=76\\\\l=76-w \ \ \ \ equation \ 2$

Now Substituting equation 2 in equation 1 we get;

$l\times w =1440\\\\(76-w)w=1440\\\\76w-w^2=1440\\\\w^2-76w+1440 =0$

Now we will find the root by factorizing the same we get;

$w^2-36w-40w+1440=0\\\\w(w-36)-40(w-36)=0\\\\(w-36)(w-40) =0 \\$

Now solving for each to find the value of 'w' we get;

$w-36 =0\\\\w=36\\\\also \\\\w-40=0\\\\w=40$

So We can say that;

Width = 36 m and Length = 40 m

Now we need to find out of length or breadth which one is to be decreased by what percentage to make it a square.

We know that square has all sides same.

So from the data we found we can say that if length is decreased by 4 then length and breadth(width) both will be equal.

So to find percentage decreased we will divide length to be decreased by total length and then multiply by 100.

framing in equation form we get;

percentage decreased = $\frac{4}{40}\times 100 = 10\%$

Hence If Length is decreased by 10% then it would become a square.

6 0

2 years ago

Osvoldo has a goal of getting at least 30%, percent of his grams of carbohydrates each day from whole grains.

Pachacha [2.7K]

To answer this you need to figure out what 30% of the total number of carbs need to be whole-grain. Multiply 0.3 times 220 to get 66 grams. He did not meet his goal. Because he only ate 5 g, this is 61 less than he needs to meet his goal.

4 0

3 years ago

Laws of Sine just need a way to solve this, I got kicked out of my last tutor and lost the work and can't get it back

Stels [109]

The measurement of angle A = 52 ° .

In question we need to find angle A ,

To find angle A using Law of Sines :

Law of Sine : ( a / sin A ) = ( b / sin B ) = ( c / sin C ) where a , b and c are the sides opposite to angle A , B and C resp. of a triangle .

Applying Law of Sines ,

25 / sin A = 28 / sin 62

sin A = ( 25 * sin 62 ) / 28

sin A = 0.7883

Therefore , angle A = 52 ° .

Hence , the measurement of angle A = 52 ° .

To learn more on Law of Sines follow link :

brainly.com/question/2807639

#SPJ9

4 0

7 months ago

Employees at a large computer company earn sick leave in one-minute increments depending on how many hours per month they work.

amm1812

Answer:

The required amount of minutes is 5796.05 minutes

Step-by-step explanation:

Here, since we have that the sick leave is given as 1 minute per hour worked per month and

The amount of unused sick leave is uniformly distributed between 0 and 480

Therefore, there are 481 employees, counting from 0 to 480 with 0 included

Where the company wishes no more than 5% of all employees get cash payment then we have

Total number of minutes = 1 to 481 = 115921 minutes

Therefore, we have 5% of 115921 = 5796.05 minutes

The balance amount of minutes = 115921 minutes - 5796.05 minutes

= 110124.95 minutes.

3 0

3 years ago