The width of a rectangle is 4 feet, and the diagonal length of the rectangle is 13 feet. Which
measurement is dosest to the length of this rectangle in feet?


A. 9ft
B. 17ft
C. 12.4ft
D. 13.6ft

Answer:

Part A

The first transaction which is to write a check of $8.50 is a debit transaction which carries a negative sign while

The second transaction which states that she wrote it as a deposit carries a positive sign because deposit means to add

Part B

The absolute value of a number is never negative.

|-8.50| = 8.50

Step-by-step explanation:

Part A: Which point represents each of Shelby's transaction on the number line below? Explain the difference between these two transactions.

The firsts transaction says:

She wrote a check for $8.50 to rent a video game.

Writing a check of $8.50 is a debit to her bank account. This is a negative value because $8.50 is taken from the money in her bank account.

Mathematically this means, -$8.50

The second transaction states that:

She mistakenly recorded it in her checkbook as an $8.50 deposit.

Mathematically, a deposit means a positive action, where money is added to the money in her bank account.

Hence,

+$8.50

Part B: Use absolute value to explain how a debt of $8.50 and a deposit of $8.50 are similar.

In mathematics it is important to note that:

The absolute value of a number is never negative.

Hence,

Debt of $8.50 = -8.50

Deposit of $8.50 = +8.50

Hence,

|-8.50| = 8.50

Answer:

it looks like a cube to me lol

Answer:

Apothem:

radius is the same length as the base/length of each side of the hexagon.

r = 8

use pythagorean theorem to calculate the apothem

[tex]4^2+a^2=8^2\\\\16+a^2=64\\\\a^2=48\\\\a= 6.928[/tex]

≈ 6.9

Area

[tex]A = \frac{3\sqrt{3} }{2} *a^2\\\\=\frac{3\sqrt{3} }{2}(6.928)^2\\\\=124.7[/tex]

Answer:

x=5, y=6

Step-by-step explanation:

7x+2y=47

5x-4y=1

to use elimination method , you want to add the two equations together so that either x or y cancels out. For these equations, we will multiply the first equation by 2. (This will cancel out y value)

2(7x+2y)=2(47)

14x+4y =94

————————

add above equation to second equation:

14x+4y=94 above equation

5x-4y=1 second equation

19x=95 added together

x=5

—————————————

‘solve for y by substituting x value (5) into either original equation

5x-4y=1

5(5)-4y=1

25-4y=1

-4y=-24

y=6

If we know the quadratic formula, the quadratic formula is

x = [-b ± √(b²- 4ac)] / 2a

Gosh! So overwhelming! But let's look at the composition of a quadratic equation:

ax² + bx + c = 0

And we have 6x² - 3x = 1. So, what do we do? We need to put this quadratic equation into an easy form to find the value of a, b, and c to plug in to the equation.

We can just minus one on both sides to get this:

6x² - 3x - 1 = 0

Is it in the form of ax² + bx + c? Yes! a = 6, b = -3, and c = -1. Now, all we have to do is plug it into the quadratic formula.

x = [-b ± √(b²- 4ac)] / 2a

x = [-(-3) ± √((-3)²- 4(6)(-1))] / 2(6)

     [3 ± √(9- 4(6)(-1))] / 12

     [3 ± √(9 + 24)] / 12

     [3 ± √(33)] / 12

At this point, we should just use a calculator, and recognize we have two answers because of the plus-or-minus sign! (or this sign: ±)

[3 ± √(33)] / 12

1) [3 + √(33)] / 12 = 0.73 approximately

2) [3 - √(33)] / 12 = -0.23 approximately

So, x=0.73 and x= -0.23.

Answer:

En matemática, un polígono construible es un polígono regular que puede ser construido con regla y compás. Por ejemplo, un pentágono regular es construible con regla y compás mientras que un heptágono regular no lo es.En matemática, un polígono construible es un polígono regular que puede ser construido con regla y compás. Por ejemplo, un pentágono regular es construible con regla y compás mientras que un heptágono regular no lo es.

Answer:

Step-by-step explanation:

I am not gonna give the exact answer but remember how to find the volume of the certain object first figure out what kind of object then figure out the formula..

Hello and Good day,

This question is relating to probability and it can come in percentages and fractions. I will follow directions as the problem states and provide both.

1. There is a 1/20 or 5% chance that the dart would land on section 20.

2. There is a 10/20 or 50% chance that the dart would land on an odd number.

There are 10 odd numbers present on the dart board.

3. 4/20 or 20%

There are 4 numbers greater than 16.

4. 0/20 or 0%

This is because there are no 25's on the dart board

5. 17/20 or 85%

This is because there are 17 numbers that aren't 4, 5, or 6.

6. 7/20 or 35%

There are 7 numbers less than 8.

7. 20/20 or 100% chance

8. 19/20 or 95% chance

I honestly was to lazy to right the rest in complete sentences, but i hope you find this well. Have a great day.

Thank you for your support,

-Oceanbreeze24

Answer:

PE = 51.45 Joules

Step-by-step explanation:

PE = mgh

= (7.0 kg)(9.8m/s^2)(0.75 m)

= 51.45 Joules

If there is no more informations, then:

Answer:

90000

Step-by-step explanation:

Answer: 2 imaginary solutions

Step-by-step explanation:

x^2+2x+7=0

a=1, b=2, c=7

2^2-4*1*7

-24 (The discriminant is less than 0 , so the quadratic equation has 2 imaginary solutions)

Answer:

1 is FALSE

2 is TRUE

3 is FALSE

4 is FALSE

Step-by-step explanation:

1 is false because the blue marble is 2 only

2 is true because green marble has a 100% you get this.

3 is false because we din't have yellow marble

4 is false because red is has 10 marble so you get this red marbke is has 82% because red marble is 2nd most at the number of color

Answer: true

Step-by-step explanation:

True, because translation means just to move a figure, not to change a shapes's size, width, height, or any other property of the shape.

Answer:

There are infinitely many solutions

Step-by-step explanation:

The expressions on both sides of the equation are the same, that is

[tex]\frac{1}{2}[/tex] (b + 14) is the same as [tex]\frac{b+14}{2}[/tex]

Thus the equation has infinitely many solutions

Answer: 148

Step-by-step explanation:

180-32 = 148

B=C

P=X

Answer:

x = 148 degrees

Step-by-step explanation:

180 - 32 = 148

Answer:

$0.24

Step-by-step explanation:

1.332 - 1.094 = 0.238

Answer: 0.24

It cost $0.24 more in New York, than in Cleveland

You can find the answer by subtracting the larger price from the smaller price like so

[tex]1.332 - 1.094= 0.238[/tex]

Since it says to round to the nearest hundredths

[tex]0.238[/tex] becomes [tex]0.24[/tex]

If this helped you a Brainliest would be much appreciated!

Answer: (-2,4) to (2,-2)

go up 1 from the origin

then 2 to left since it’s -2

3 up since it’s 3

go up 1 from the origin

then 2 right since it’s 2

3 down since it’s -3

Answer:

908.74

Step-by-step explanation:

The formula for the volume of a cylinder is V = h * pi * r^2

h is height, r is radius, and pi is 3.14. The radius is half of the diameter, so that would make the radius 5.25.

So now plug it into the formula:

V = 10.5 * pi * (5.25)^2

= 908.74

Hope this helped! :)

Answer:

1211.65 cubed ft.

Step-by-step explanation:

Half sphere: V = 4/3(3.24)(5.25^3)

V = 605.82

Divide by two since we need to find the volume of the half sphere, not the full sphere.

605.82 ÷ 2 = 302.91

Cylinder: V = (3.14)(5.25^2)(10.5)

V = 908.74

Add the two volumes to each other to find the total volume of the composite figure.

908.74 + 302.91 = 1211.65

Answer:

10−x)(3x−9)=0

−3x2+39x−90=0

−3(x−3)(x−10)=0

x=3 or x=10

The solutions to the equation (10 - x)(3x - 9) = 0 are x = 10 and x = 3.

Given that the equation (10 - x)(3x - 9) = 0

The factors will have the form (ax + b)(cx + d), where a, b, c, and d are constants.

To find values for a, b, c, and d such that (ax + b)(cx + d) is equal to 0

To determine the solutions of (ax + b)(cx + d),  equate each term to zero and solve for x which gives the solutions.

The two solutions of (ax + b)(cx + d) are -b/a and -c/d.

To find the solutions to the equation (10 - x)(3x - 9) = 0, set each factor equal to zero and solve for x.

Setting (10 - x) = 0 gives:

10 - x = 0

To isolate x, subtract 10 from both sides of the equation:

10 - x - 10 = 0 - 10

Simplifying gives:

-x = -10

Multiplying both sides by -1 to solve for x:

(-1)(-x) = (-1)(-10)

x = 10

So, one solution is x = 10.

Now, setting (3x - 9) = 0, gives:

3x - 9 = 0

To isolate x, we add 9 to both sides of the equation:

3x - 9 + 9 = 0 + 9

Simplifying gives:

3x = 9

Dividing both sides by 3 to solve for x:

(1/3)(3x) = (1/3)(9)

x = 3

Therefore, the second solution is x = 3.

The solutions to the equation (10 - x)(3x - 9) = 0 are x = 10 and x = 3.

Learn more about solving quadratic equations and factoring, click here:

https://brainly.com/question/30398551

#SPJ6

Answer:

The area of the circle is 113.0 ft²

Step-by-step explanation:

To solve this problem we need to use the area formula of a circle:

a = area

r = radius = 6ft

π = 3.14

a = π * r²

we replace with the known values

a = π * (6ft)²

a = π * 36ft²

a = 113.04ft²

The area of the circle is 113.04ft²

round to the nearest tenth

a = 113.04ft²  = 113.0 ft²

Answer:

angle ABD=42°

Step-by-step explanation:

join AO with dotted line

AO=OD...radii

triangle AOD is an isosceles

angle DAO=angle ODA.....base angles of isosceles

angle DAO=48°

AngleAOD=180°-(48°+48°)....angle sum of triangle

=180°-96°

=84°

Angle AOD=2×angle ABD....angle at centre twice angle circumference

2xangle ABD=84°

Angle ABD=84°÷2

=42°

Answer:

1

Step-by-step explanation:

2 /9÷   6/ 27=1

Answer:

$6 = cost of small box

$8 = cost of large box

Step-by-step explanation:

Let s = cost of small box

     l  = cost of large box

(1)    12s + 3l = 96            (2)     6s + 6l = 84

    Multiply by -2                     -24s - 6l = -192

                                                -18s   = - 108

                                                     s = $6 = cost of small box

      12(6) + 3l = 96

         72 + 3l = 96

                 3l = 24

                   l = $8 = cost of large box

Answer:

2.5 hours

Step-by-step explanation:

Answer:

[tex]log_e^{67.21}= a[/tex]

Step-by-step explanation:

The equation is ,

[tex]\implies 67.21 = e^a [/tex]

Say if we have a expoteintial equation ,

[tex]\implies a^m = n [/tex]

In logarithmic form it is ,

[tex]\implies log_a^n = m [/tex]

Similarly our required answer will be ,

[tex]\implies\boxed{ log_e^{67.21}= a }[/tex]

Answer:

The Q³ of this data set is 9.5