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3 years ago

The perimeter of a square is 24 4/9 in, and its side is 6 1/9 in. Find its area.

Mathematics

1 answer:

ra1l [238]3 years ago

7 0

Area = side * side
Area of the square = 6 1/9 * 6/1/9
= 36 1/81

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Three times a number increased by 8 is no more than the number decreased by 4. Find the number ( please write and solve inequali

Alexandra [31]

Three times a number = 3x

Increased by 8 = + 8

So far we have: 3x + 8

no more than = <=

the number decreased by 4 = x -4

Put it all together and we have:

3x + 8 <= x - 4

Solve for x

3x + 8 <= x - 4

3x - x <= -4 - 8

2x <= -12

2x / 2 <= -12 / 2

x <= -6

-6 is the number / answer.

7 0

3 years ago

Convert the integral below to polar coordinates and evaluate the integral.

White raven [17]

I suppose the integral is

$\displaystyle\int_0^5\int_y^{\sqrt{25-y^2}} xy\,\mathrm dx\,\mathrm dy$

The integration region corresponds to a sector of a cirlce with radius 5 subtended by a central angle of π/4 rad. We can capture this region in polar coordinates by the set

$R=\left\{(r,\theta)\mid0\le r\le5,0\le\theta\le\dfrac\pi4\right\}$

Then $x=r\cos\theta$ , $y=r\sin\theta$ , and $\mathrm dx\,\mathrm dy=r\,\mathrm dr\,\mathrm d\theta$ . So the integral becomes

$\displaystyle\iint_Rxy\,\mathrm dx\,\mathrm dy=\int_0^{\pi/4}\int_0^5r^3\sin\theta\cos\theta\,\mathrm dr\,\mathrm d\theta=\frac{625}{16}$

7 0

3 years ago

If y=-18 when x=6 find x when y=6

torisob [31]

Answer:

X=-2

Step-by-step explanation: x is negative 1/3 of y. We can tell because of this example so when you divide y=6 by negative 1/3 it makes -2!

5 0

3 years ago

The circle graph shows the results of a survey of registered voters the day of an election Which Party's Candidate Will Get Your

Ostrovityanka [42]

Answer:

Step-by-step explanation:

4 0

3 years ago

A health food store sells a mixture of raisins and roasted nuts.

murzikaleks [220]

Answer:

Raisins = 25 kg

Nuts = 15 kg

Step-by-step explanation:

Given that:

Kilograms of snack to be made = 40 kg

Price per kg would be $4.75kg.

Price of 40 kg would be = 4.75 * 40 = $190

Let,

x be the kilograms of raisins

y be the kilograms of nuts

According to given statement;

x+y=40 Eqn 1

4.00x+6.00y=190 Eqn 2

Multiplying Eqn 1 by 4

4(x+y=40)

4x+4y=160 Eqn 3

Subtracting Eqn 3 from Eqn 2

(4x+6y)-(4x+4y)=190-160

4x+6y-4x-4y=30

2y=30

Dividing both sides by 2

$\frac{2y}{2}=\frac{30}{2}\\y=15$

Putting y=15 in Eqn 1

x+15=40

x=40-15

x=25

Hence,

Raisins = 25 kg

Nuts = 15 kg

8 0

2 years ago

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