The product of two consecutive integers is 72. the equation x(x 1) = 72 represents the situation, where x represents the smaller integer. which equation can be factored and solved for the smaller integer? x2 x – 72 = 0 x2 x 72 = 0 x2 2x – 72 = 0 x2 2x 72 = 0

Answer:

B. 72°

Step-by-step explanation:

Remember : Measure of inscribed angle = 1/2 × measure of intercepted arc.

Then

The measure of arc CD = 2 × m∠DBC

                                        = 2 × 36

                                        = 72°

Answer:

2

Step-by-step explanation:

thx

Answer:

(x+3)^2+(y+2)^2=80

Step-by-step explanation:

Answer:

Length = 17 units

Width = 1 unit

Step-by-step explanation:

[tex]A = l * b[/tex]

[tex]17 = (2x+1) (x-7)\\17 = 2x^{2} -14x+x-7\\17 = 2x^{2} -13x-7\\2x^{2} -13x-7-17=0\\2x^{2} - 13x -24=0\\(2x+3) (x-8)=0\\x=-\frac{3}{2} or x=8\\[/tex]

but x cannot be negative because length and width cannot be negative;

[tex]x\neq -\frac{3}{2} : x = 8[/tex]

Length:-

[tex]=2x +1\\=2(8)+1\\=17units[/tex]

Width:-

[tex]=x-7\\=8-7\\=1 unit[/tex]

Answer: AB ≅ CB

Step-by-step explanation:

In the given figure, we have ∆ABD ≅ ∆CBD

The CPCTC property of congruent triangles says that if two triangles are congruent then their corresponding parts ( angles and segments ) are congruent.

Since we have given that ∆ABD ≅ ∆CBD.

Therefore, the corresponding segments are congruent.

As segment AB is corresponding to segment CB. [First two letters]

Therefore, segment AB is congruent to segment CB.

Answer: $5.00 is the range

Step-by-step explanation: Range is the largest number subtracted by the smallest, so $6 - $1 is $5.

Answer:

x=15

Step-by-step explanation:

multiply 5 by both sides to get rid of 5 on the second side --> 3x5=x/5x5

15=x

ur wecome :)

brainliest please?

Answer:

42.5

Step-by-step explanation:

Area- (9.0×3.5) +1/2(5×2) + (2×2)

=31.5+2+5+4

=42.5

hope it helps!!!

Answer:

anyways your answer is 1

Step-by-step explanation:

For the part 1 volume is 32.768 dm³, for part 2 side length is  6 meters, and for part 3 the volume is 480 cubic cm.

It is defined as three-dimensional geometry that has six square faces and eight vertices.

We have

1) Side length = 3.2 dm

Volume = (3.2)³ = 32.768 dm³

2) Volume of cube = 216 cubic meters

a³ = 216

a = 6 meters

3) The dimensions for sewing box: 10 cm, 8 cm, and 6 cm

Volume = 10×8×6 = 480 cubic cm

Similarly, we can calculate the rest of the data.

Thus, for the part 1 volume is 32.768 dm³, for part 2 side length is  6 meters, and for part 3 the volume is 480 cubic cm.

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Answer:

Use the given functions to set up and simplify (-c⁰, 2]

Step-by-step explanation:

2(4x ⋅ 3) = 24x

2-3 (3x) + 5x = -4x + 2

Ox ⋅ 2 = 2Ox

0.5 = 2Ox

X ⋅ 2 = 2X

2 = 2X

-9 ⋅ 0.5 = -4.5

If this was helpful, let me know!

Answer:

2 and 22

Step-by-step explanation:

You can put them into equations:

x+y=24 and 2x+y=26

Then, for each equation solve for one of the variables. It doesn't really matter which one but I chose y here.

y=24-x and y=26-2x

Since both equations are equal to y it means that the expression on the right sides of the equal sign are equal to each other:

24-x=26-2x

From here solve for x and you are left with:

x=2

Now that you know one variable go back and plug it into an equation and solve for y. Again, it doesn't matter which one you choose, you will end up with the same answer:

(2)+y=24

So..

y=22

A sine wave is also known as a sinusoid. The sine function that has an amplitude of 5, a midline of 2 and a period of 3/7​ is 5Sin(16πx/3)+2.

A sine wave, also known as a sinusoid, is the graph of the sine function. Any curve that can be expressed in the form is referred to as a sinusoid. (A and B are both positive.) Sinusoids are the most generic version of the sine function.

Given the amplitude of the function is 5, the vertical shift is 3, and the period of 3/7. Therefore, the values of constants can be written as,

a = 5

b = (2π)/(3/7) = 14π/3

d = 2

Substituting the values in the sine function,

a sin b (x-c) + d

= 5 Sin(16π/3)(x-0) + 2

= 5 Sin(16πx/3) + 2

Hence, the sine function that has an amplitude of 5, a midline of 2 and a period of 3/7​ is 5Sin(16πx/3)+2.

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Answer:

526 X 9= 4734 is the answer.

Answer:

  215 ft

Step-by-step explanation:

The length of the surrounding fence is equal to the perimeter of the garden. That is the sum of the lengths of the straight sides and the curved arc. The arc length is given by the formula ...

  s = r·θ . . . . . where θ is the central angle in radians

__

There are π radians in 180°, so the arc will have a measure in radians of ...

  θ = 132° × (π/180°) = 11/15π ≈ 2.3038 . . . . radians

Then the length of the curved side of the garden is ...

  s = (50 ft)(2.3038 radian) ≈ 115.2 ft

__

The fence length is the sum of the arc length and the two radii:

  perimeter = 115.2 ft + 2×50 ft = 215.2 ft

About 215 feet of fencing are needed to enclose the garden.

Answer:

(√2+1 )(√2+3 )

(√2×√2)+(√2×3)+(1×√2)+(1×3)

2+3√2+√2+3 = 5+4√2

=5+4√2

Answer:   x > 5

Reason:

Add 8 to both sides to undo the -8

We have x-8 > -3 become x > -3+8 which becomes x > 5

We can replace x with anything larger than 5.

To graph this on a number line, plot an open hole at 5. Then shade to the right.

[tex]~~~~~12x+4y = -36\\\\\implies 3x +y = -9\\\\\implies y = -3x -9[/tex]

         - - - - - - - - - - - - - - - - - - - -- - - - - - - - - - -- - - - - - -- - - - - - - - --

[tex]\blue\textsf{\textbf{\underline{\underline{Question:-}}}}[/tex]

Write 12x+4y=-36 in slope intercept form.

[tex]\blue\textsf{\textbf{\underline{\underline{Answer and How to Solve:-}}}}[/tex]

Slope intercept form looks like so:-

y=mx+b

Right now the line's equation is written in standard form, ax+by=c.

First, subtract 12x on both sides:-

4y=-36-12x

Now divide by 4 on both sides:-

y=-9-3x

On further simplification,

switch -9 and -3x places (it's not mandatory)

y=-3x-9

That's our equation in slope intercept form.

          - - - - - - - - - - - - - - - - - - - -- - - - - - - - - - - - - - - - - - - - - - -- - - -

The total moment of inertia of the two disks will be I = 2.375 × 10-³ Kgm² welded together to form one unit.

Moment of inertia is the quantity expressing a body's tendency to resist angular acceleration, which is the sum of the products of the mass of each particle in the body with the square of its distance from the axis of rotation.

Using the formulas to calculate the moment of inertia of a solid cylinder:

I = ½MR²

Where;

I = moment (kgm²)

M = mass of object (Kg)

R = radius of object (m)

Total moment of inertia of the two disks is expressed as: I = I(1) + I(2)

That is;

I = ½M1R1 + ½M2R2

According to the provided information;

R1 = 2.50cm = 0.025m

M1 = 0.800kg

R2 = 5.00cm = 0.05m

M2 = 1.70kg

I = (½ × 0.800 × 0.025²) + (½ × 0.05² × 1.70)

I = (½ × 0.0005) + (½ × 0.00425)

I = (0.00025) + (0.002125)

I = 0.002375

I = 2.375 × 10-³ Kgm²

Hence The total moment of inertia of the two disks will be I = 2.375 × 10-³ Kgm² welded together to form one unit.

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Step-by-step explanation:

here you go hope it helps

Answer:

I just answered this. (48, 192) for profit = 500x + 450y under x+y <= 240, y >= 4x

Answer:

282 hr   <======= see below

Step-by-step explanation:

Distance / rate = time

2.4 x 10^9 mi / 85 m/hr   = 28235294 hr

 You must have left the power of 10 off of your speed

     probably should be   8.5 x 10^6  perhaps?   then answer is 282

Answer:

3000

Step-by-step explanation:

640x3 = 1920

90x12 = 1080

Answer:

d is the right answer hope this helps

Answer:

To represent geometrically √x on a number line:

To represent geometrically √4.5 on a number line:

Draw:

Draw a line perpendicular to AC at point B.

Let O be the midpoint of AC:

[tex]\implies \sf O=\dfrac{-4.5+1}{2}=-1.75[/tex]

Draw a semicircle with center O and radius OA

[tex]\implies \sf OA=\dfrac{AC}{2}=\dfrac{5.5}{2}=2.75[/tex]

Let point D be where the semicircle intersects with the perpendicular line

[tex]\implies \sf BD=\sqrt{AB}=\sqrt{4.5}[/tex]

Draw an arc with center B and radius BD from point D to the number line.

[tex]\implies \sf BE=\sqrt{4.5}[/tex]

⇒ Point E is [tex]\sf \sqrt{4.5}[/tex] on the number line.

To represent geometrically √8.3 on a number line:

Draw:

Draw a line perpendicular to AC at point B.

Let O be the midpoint of AC:

[tex]\implies \sf O=\dfrac{-8.3+1}{2}=-3.65[/tex]

Draw a semicircle with center O and radius OA

[tex]\implies \sf OA=\dfrac{AC}{2}=\dfrac{9.3}{2}=4.65[/tex]

Let point D be where the semicircle intersects with the perpendicular line

[tex]\implies \sf BD=\sqrt{AB}=\sqrt{8.3}[/tex]

Draw an arc with center B and radius BD from point D to the number line.

[tex]\implies \sf BE=\sqrt{8.3}[/tex]

⇒ Point E is [tex]\sf \sqrt{8.3}[/tex] on the number line.