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3 years ago

A quad with no square corners

Mathematics

1 answer:

erastovalidia [21]3 years ago

7 0

A trapezoid or rhombus because a square corner is the same as a right angle and neither one of them have right angles

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A swimming pool is 20 feet wide and 40 feet long. If it is surrounded by a walkway of square tiles, each is 1 foot by 1 foot, ho

Lena [83]

Answer:

124 tiles

Step-by-step explanation:

2(20+40)

2(60)

120+4=124

5 0

2 years ago

Select all the correct answers.

sukhopar [10]

Answer:

Second point (-5/2, -7/2)

First point (3/2, 17/2)

Step-by-step explanation:

We have two equations, and we want to know at wich poin are equal. Hence, we have a system of equations and the solution is nothing more that the point (x,y) where those functions intercepts.

4x2+ 7x -11=y

3x+4=y

Lets use substitute method

4x2+7x-11=3x+4

This can be re arrange as the following eq:

4x2+4x-15=0

A quadratic equation, its solution can be obtained using the below eq.

$x=\frac{-b+/- \sqrt{x^{2}-4ac } }{2a}$

where a=4, b=4, c=-15.

Remember, the quadratic equation as a +/- sign, meaning that you will obtain one answer using the + operator and other using the - operator.

By doing the above, we have x=-5/2 and x=3/2

By using x=3/2 in equation of line (3x+4=y) we have y=17/2

First point (3/2, 17/2)

By using x=-5/2 in equation of line (3x+4=y) we have y= -7/2

Second point (-5/2, -7/2)

Those points are the ones where the line and the parabola intercept.

7 0

3 years ago

Find the cash value of the lottery jackpot (to the nearest dollar). Yearly jackpot payments begin immediately (26 for Mega Milli

Fantom [35]

Answer:

The right response is Option c ($185,870,742).

Step-by-step explanation:

Given:

n = 30

r = 5.4%

or,

= 0.054

Periodic payment will be:

$R = \frac{360000000}{30}$

$=12000000$ ($)

Now,

The present value will be:

= $R+R(\frac{1-(1+r)^{-n+1}}{r} )$

By substituting the values, we get

= $12000000+12000000(\frac{1-(1+0.054)^{-30 + 1}}{0.054} )$

= $12000000+12000000\times 14.4892$

= $185,870,742$ ($)

7 0

3 years ago

The area of a rectangle gets reduced by 9 sq. units,if its length is reduced by 5 units and Breadth is increased by 3 units.If w

Scilla [17]

Let the length and breadth of the rectangle be x and y.

Area of rectangle is A = xy

Therefore, the new length will be = x-5

Therefore, the new breadth will be = y + 3

So new area will be xy-9

Now the new relation will be (x+3)(y+2)=xy+67

Cross – multiplication method–

$\dfrac{x}{{{b_1}{c_2} - {b_2}{c_1}}} =\dfrac{y}{{{a_2}{c_1} - {c_2}{a_1}}} = \dfrac{1}{{{a_1}{b_2} - {a_2}{b_1}}} || x = \dfrac{{{b_1}{c_2} - {b_2}{c_1}}}{{{a_1} {b_2} - {a_2}{b_1}}} y = \dfrac{{{a_2}{c_1} - (c_2}{a_1}}}{{{a_1}{b_2}-{a_2}{b_1}}}\\$

$\Rightarrow \dfrac{x}{{305 - ( - 18)}} =\dfrac{y}{{ - 12 - ( - 183)}} = \dfrac{1}{{9 - 10)}}\\\$

$\Rightarrow \dfrac{x}{{323}} = \dfrac{y}{{171}} = \dfrac{1}{{19}} \\\Rightarrow x = 17, y = 9 \\$

Therefore, the length is 17 and breadth is 9.

5 0

3 years ago

At Billy's school, 80 students bone to school by bike or car. Together the vehicles arrive to school in have 270 wheels. How man

Arturiano [62]

Answer: 25 bikes and 55 cars were used.

Step-by-step explanation:

Let b represent number of bicycles that the students ride to school.

Let c represent number of cars that the students drive to school.

At Billy's school, 80 students come to school by bike or car. It means that

b + c = 80

A bike has 2 wheels. A car has 4 wheels. Together the vehicles that arrive at the school have 270 wheels. It means that

2b + 4c = 270- - - - - - - - - - 1

Substituting b = 80 - c into equation 1, it becomes

2(80 - c) + 4c = 270

160 - 2c + 4c = 270

- 2c + 4c = 270 - 160

2c = 110

c = 110/2

c = 55

b = 80 - c = 80 - 55

b = 25

3 0

3 years ago