A scale drawing of a rectangular park is 5 inches wide and 7 inches long. The actual
park is 280 yards long. What is the approximate area of the actual park, in square
yards?

Step-by-step explanation:

b/4 = 1-2

b/4 = -1

4 × b/4 = -1 × 4

b = -4

Answer:

1

Explanation:

Answer:

The square root of (144/169)+(25/169) is 1

Step-by-step explanation:

[tex]\sqrt{\frac{144}{169} +\frac{25}{169} = \frac{169}{169}} = \sqrt{1}[/tex]

[tex]\sqrt{1} =1[/tex]

hope this helps :)

Answer:

[tex]\huge\boxed{\bf\:2}[/tex]

Step-by-step explanation:

[tex]\frac{4}{3 + \sqrt{7}}[/tex]

Rationalise the denominator by multiplying the numerator & denominator of the fraction with [tex](3 - \sqrt{7})[/tex].

[tex]\frac{4\left(3-\sqrt{7}\right)}{\left(3+\sqrt{7}\right)\left(3-\sqrt{7}\right)}[/tex]

Now, we  an see that the denominator is in the form of the algebraic identity: (x + y) (x - y) = x² - y². So,

[tex]\frac{4\left(3-\sqrt{7}\right)}{3^{2}-\left(\sqrt{7}\right)^{2}} \\= \frac{4\left(3-\sqrt{7}\right)}{9-7} \\= \frac{4\left(3-\sqrt{7}\right)}{2} \\[/tex]

The new denominator is 2.

[tex]\rule{150pt}{2pt}[/tex]

Answer:

Option D. 2

Step-by-step explanation:

Hello!

To rationalize the denominator, we should multiply the numerator and the denominator by the conjugate of the denominator. The conjugate simply means the same terms but with the opposite operation.

The new denominator is 2.

no it's not correct

50% can drive and 50% cannot drive... cus the survey is conducted on 50% students... so assuming that 30 students' percentage is 100, 15 can drive and 15 cannot, therefore...

50% can drive and 50% cannot drive

hope it helps...!!!

Answer:

[tex]0.40 * 6 = 2.4\[/tex]

So if one pound costs 2.4$, you will be able to buy 2 pounds with 6$

Answer:

Step-by-step explanation:

First confirm that x = 1 is one of the zeros.

f(1) = 2(1)^3 - 14(1)^2 + 38(1) - 26

f(1) = 2 - 14 + 38 - 26

f(1) = -12 + 38 = + 26

f(1) = 26 - 26

f(1) = 0

=========================

next perform a long division

x -1  || 2x^3 - 14x^2 + 38x - 26 || 2x^2 - 12x + 26

         2x^3 - 2x^2

         ===========

                   -12x^2 + 28x

                    -12x^2 +12x

                    ==========

                                 26x -26

                                 26x - 26

                                ========

                                     0

Now you can factor 2x^2 - 12x + 26

                                2(x^2 - 6x + 13)

The discriminate of the quadratic is negative. (36 - 4*1*13) = - 16

So you are going to get a complex result.

x = -(-6) +/- sqrt(-16)

    =============

                2

x  = 3 +/- 2i

f(x) = 2*(x - 1)*(x - 3 + 2i)*(x - 3 - 2i)

The zeros are

1

3 +/- 2i

Apply the long division to find that there is only 1 real root

Answer: hii

Exchanged a good or service directly for a good or service

Step-by-step explanation:

Bartering was an early way that people... Exchanged a good or service directly for a good or service.

Hopefully this helps you

- Matthew

Bartering was an early way that people exchanged goods.

Let's imagine a situation between "A" and "B". Suppose "A" wants rice and have sugar. On the other hand "B" has rice and he wants sugar. So,there will be exchange between "A" and "B" where "A" will give sugar to "B" and "B" will give rice to "A".

okay l will help you on this

but it's not so realistic. it's a negative answer imagine

Answer:

A. 4 1/15

Step-by-step explanation:

to solve this equation

[tex]x { }^{2} + 3x - 40 = 0[/tex]

Answer:

?

Step-by-step explanation:

Answer:

(5,000+(132 months × 25))×0.079 = 655.7

so at the end of 11 years you have:

$8,300 + interest= 8955.7

Answer:

exp prob is less than theoret prob

Step-by-step explanation:

experimental   8 out of 20    8/20

theoretical      10 out of 20    10/20

It costs $122.4 dollars before the increase.

Therefore, It costs $122.4 dollars before the increase.

Learn more about Finding the Percentage here:

https://brainly.com/question/24862040

Answer:

216???

Step-by-step explanation:

54 times 4 bc every fourth person that comes in

I have no Idea tho

Answer:

b

Step-by-step explanation:

Answer:

2008909, 2000899, 299088, 298099, 12890, 12089

Step-by-step explanation:

Start with the largest number then find the number with the smallest value closest to that number

[tex]Given[/tex] [tex]numbers:[/tex]

[tex]a)12098,12980,12890,12089[/tex]

Arranging numbers in descending order:

12980 > 12890 > 12098 > 12089

[tex]Given[/tex] [tex]numbers:[/tex]

[tex]b)2008909, 299088, 2000899, 298099[/tex]

Arranging numbers in descending order:

2008909> 2000899> 299088 > 298099

•••♪

Answer:

2x+b

Step-by-step explanation:

f(x)=x

2

+bx−21

The derivative of a polynomial is the sum of the derivatives of its terms. The derivative of a constant term is 0. The derivative of ax

n

is nax

n−1

.

2x

2−1

+bx

1−1

Subtract 1 from 2.

2x

1

+bx

1−1

Subtract 1 from 1.

2x

1

+bx

0

For any term t, t

1

=t.

2x+bx

0

For any term t except 0, t

0

=1.

2x+b×1

For any term t, t×1=t and 1t=t.

2x+b

Step-by-step explanation:

For a number,

[tex]r( \cos(x) + i sin(x))[/tex]

r is the modulus and

x is the argument

So here.

r is 2.

x is 2 pi/3

So the modulus is 2

the argument is 2 pi/3

Answer:

Modulus: 2

Argument: 2 pi/3

Step-by-step explanation:

A P E X

Answer:

 33800

Step-by-step explanation:

You have to multiply all the sides in order to get the answer.

13cm x 10cm = 130cm

130cm x 20cm = 2600cm

2600cm x 13cm = 33800

Answer:

I think the answer is A

Step-by-step explanation:

If you use the diameter of the circle when drawing you will not get more than one interesection with the circle which will be in the opposite side, repeating this step will just repeat the same circles. But if you use the radius of the circle [tex]r = AB[/tex] you will get something like the picture attached, bear in mind it's not exact but it helps picture the steps being followed.

The best way to solve this is by experimenting with the compass and following the steps to see the outcome.

[tex]\sqrt{2x}\ \cdot \ \sqrt{12500}\\= \sqrt{25000x}\\= \sqrt{25} \cdot \sqrt{100} \cdot \sqrt{10x}\\= 5 \cdot 10\ \cdot \sqrt{10x}\\= 50\sqrt{x}[/tex]

Your answer would be 'How thick is the thickest book in your book collection?'

Answer:

how this is the thickest book

Step-by-step explanation:

i took the quiz and got it correct your welcome

Answer:

a) - y = 30°,x = 70°

b)- y = 105°,x = 75°

c)- x = 25°

d)- x = 116°

Step-by-step explanation:

a) =

80 + 70 + y = 180 (co-interior angles)

or, y = 180 - 150

so, y = 30°

Now,

x = 70° (alternate angles)

b) =

y + 75 = 180° (co-interior)

(y = angle which is supplement to 75)

y = 180° - 75°

so, y = 105°

Now,

x + y = 180° (co-interior angles)

or, x = 180° - 105°

so, x = 75°

c)=

180° - 5x = 55° (corresponding angles)

or, 5x = 180° - 55°

or, 5x = 125°

or, x = 125°/5

so, x = 25°

d)=

64° + x = 180° (co-interior angles)

x = 180° - 64°

so, x = 116°

Answer:

See below ~

Step-by-step explanation:

a)

b)

c)

d)

I assume the integral is

[tex]\displaystyle \int\frac{\sin(2x)}{\sin(x)} \, dx[/tex]

Simplify the integrand:

[tex]\sin(2x) = 2\sin(x)\cos(x) \implies \dfrac{\sin(2x)}{\sin(x)} = 2\cos(x)[/tex]

Then the indefinite integral is

[tex]\displaystyle \int\frac{\sin(2x)}{\sin(x)} \, dx = 2 \int \cos(x) \, dx = \boxed{2 \sin(x) + C}[/tex]

Answer:

68 units sq

Step-by-step explanation:

You have to find the total area of all the shapes and subtract the unshaded.

(9 + 17) * 8 / 2, formula

26 * 4 = 104

Then find the unshaded part

9 * 8 / 2

9 * 4

= 36

104 - 36 = 68

Answer:

68

Step-by-step explanation:

The formula of a trapezoid is [tex]A = \frac{a+b}{2} h[/tex]
Use the values given in the equation:
[tex]A = \frac{17+9}{2} *8[/tex]
A = 13*8

A=104 (This the area of the overal trapezoid)

To find the area of the inner unshaded triangle, simply multiply 9 (Base) times height (8) * 1/2 to get 36

Then subtract 36 from 104 and you get 68