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3 years ago

angle a and b are two adjacent angles of a parallelogram, if angle a=55 degree the angle b is ________ degree

Mathematics

1 answer:

s344n2d4d5 [400]3 years ago

4 0

I don’t understand ??????????????

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A rectangular parcel of land has an area of 3,000 ft2. A diagonal between opposite corners is measured to be 10 ft longer than o

Kazeer [188]

Answer:

40 ft × 75 ft

Step-by-step explanation:

Let x be the one side ( in feet ) of the rectangular parcel,

So, the diagonal between opposite corners = ( x + 10 ) feet,

Let y be the other side of the rectangle ( adjacent to side x ),

The area of the rectangle,

A = x × y,

According to the question,

A = 3000 square ft,

$\implies xy = 3000\implies y=\frac{3000}{x}$

∵ In a rectangle,

$D^2=a^2+b^2$

Where, a and b are the adjacent side of the rectangle and D is the diagonal,

$(x+10)^2 = x^2 + y^2$

$(x+10)^2 = x^2 + \frac{9000000}{x^2}$

$x^2(x+10)^2 = x^4 + 9000000$

$x^2(x^2+100+20x) = x^4 + 9000000$

$x^4+100x^2 + 20x^3 = x^4 + 9000000$

$20x^3 + 100x^2 - 9000000=0$

$x^3 + 5x^2 - 450000 = 0$

By graphing the equation,

We found that,

The only real zeros of the equation is at x = 75,

Hence, the one side of the rectangle = 75 ft,

And, second side = $\frac{3000}{75}$ = 40 ft

Hence, the dimension of the land is 40 ft × 75 ft

3 0

3 years ago

Read 2 more answers

paul mixed 5 quarts of dry ingredients and 2 quarts of water to make a batch of concrete. He ran out of the mixture before finis

solniwko [45]

This is a ratio problem. If dry ing : water = 5 : 2, what is water when dry ing = 15?

The new ratio is 15 : water. How do we get from the first ratio to the new one? We multiply by 5. Meaning, we also need to multiply the 2 quarts of water by 5, giving us 10 quarts of water.

7 0

3 years ago

Solve -2/3x > 8 or -2/3x < 4.

dezoksy [38]

Answer:

B) {x| x<-12 or x>-6}

Step-by-step explanation:

-2/3x>8

change -2/3 as -3/2 and multiply both sides by -3/2x

-2/3x•(-2/3)x<-3/2•8

calculate

reduce

x<-3•4

multiply numbers

-----------

x<-12

-----------

now we're done with the first equation, let's do the other equation to find the answer!

-2/3x<4

multiply both sides by -3/2 and again change -2/3 by -3/2

-3/2•(-2/3)x>-3/2•4

calculate

reduce

x>-3•2

multiply numbers

----------

x>-6

----------

6 0

4 years ago

What are the slope and the y intercept of the graph of the liner function shown on the grid

kow [346]

To find the slope use the Rise over Run rule
It rises 2 units and runs 1 unit, so your slope is
2 or 2/1

To find the y-intercept just find where the line crosses the y-axis
it crosses at the -4 mark

Your slope is 2 and y-intercept is -4

6 0

3 years ago

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Pls help I need this right now!!!

Anettt [7]

D: 18%

Hope it helps

4 0

3 years ago