The small base of an isosceles trapezoid is x centimeters long. The large base of the trapezoid is 3
centimeters shorter than twice the length of the small base, and each of the two remaining sides of the
trapezoid is 2 centimeters longer than the small base. If the perimeter of the trapezoid is 26 centimeters.
which of the following must be true?
4x – 3 = 26
4x - 1 = 26
5x – 1 = 26
5x + 1 = 26

The formula for the volume of a cube is V = a^3.

We know the volume is 125 cubic inches.

125 = a^3

Take the third square root

5 = a

The length of each edge is 5 inches

Answer:

So the length of the edge of a cube with a volume of 125 is 5 inches

Step-by-step explanation:

All the edges of a cube have the same length, and the volume of a cube is the length of an edge taken to the third power.

So if we take the edge of the cube to be of length x, then:

Volume=x3

125=x3

5=x

[tex]\\ \sf\longmapsto 8\dfrac{1}{2}\div \left(4\dfrac{4}{5}-7\dfrac{7}{10}\right)[/tex]

[tex]\\ \sf\longmapsto \dfrac{17}{2}\div \left(\dfrac{24}{5}-\dfrac{77}{10}\right)[/tex]

[tex]\\ \sf\longmapsto \dfrac{17}{2}\div\left(\dfrac{48-77}{10}\right)[/tex]

[tex]\\ \sf\longmapsto \dfrac{17}{2}\div \left(\dfrac{29}{10}\right)[/tex]

[tex]\\ \sf\longmapsto \dfrac{17}{2}\times \dfrac{10}{29}[/tex]

[tex]\\ \sf\longmapsto \dfrac{17(10)}{2(29)}[/tex]

[tex]\\ \sf\longmapsto \dfrac{170}{58}[/tex]

[tex]\\ \sf\longmapsto \dfrac{85}{29}[/tex]

[tex]\\ \sf\longmapsto 2\dfrac{27}{29}[/tex]

Answer:

Step-by-step explanation:

The positive difference is the result of subtraction of the smaller number from the greater number.

The positive difference of 4 4/5 and 7 7/10 is:

Now division:

Answer:

3*3*3

3^3

Step-by-step explanation:

27 = 9*3

    = 3*3*3

    = 3^3

Answer:

The answer will be 4(x+5)=60

Answer:

larger number is -0.514

Step-by-step explanation:

-0.514 is greater than -0.5148 by 0.0008

Number of balls should fit inside the bin are 216 balls.

Given:

Radius of spherical ball = 16 cm

Height of cylinder = 210 cm

Diameter of opening = 150 cm

Find:

Number of  balls should fit inside the bin

Computation:

Volume of sphere = [tex][\frac{4}{3}] [\pi ][r^3][/tex]

Volume of sphere ball = [tex][\frac{4}{3}] [\pi ][16^3][/tex]

Volume of sphere ball = 17164.19 cm³

Radius of cylinder = Diameter of opening / 2

Radius of cylinder = 150 / 2

Radius of cylinder = 75 cm

Volume of cylinder = [tex][\pi ][r^2][h][/tex]

Volume of cylinder = [tex][\pi ][75^2][210][/tex]

Volume of cylinder = 3,712,500 cm³

Number of balls should fit inside the bin = Volume of cylinder / Volume of sphere ball

Number of balls should fit inside the bin = 3,712,500 / 17,164.19

Number of balls should fit inside the bin = 216.293

Number of balls should fit inside the bin = 216 balls (Approx.)

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Answer:

112

Step-by-step explanation:

1 bag- Has 14 marbles in all

So if you multiply 14 times 8 total bags you get 112.

The value of b for which the quadratic equation x² - bx + 16 = 0 have exactly two different integer solutions is b > 8

An equation is an expression that shows the relationship between two or more numbers and variables.

A quadratic equation is in the form:

y = ax² + bx + c

Where a, b and c are constants.

Given the equation:

y = -4x² + 24x - 35

From the graph of y = -4x² + 24x - 35, the axis of symmetry of the parabola is at x = 3

Find out more on equation at: https://brainly.com/question/2972832

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Answer:

x=10

Step-by-step explanation:

10 a 8 son dos, entonces 14 ax es 4

Answer:

La explicación sería:

//////////////////////////

=> 9 * 2 + 4/2 = 20

=> 18 +2 =20

=> 20 =20

//////////////////////////

=> 5*2 + 8/2 = 14

=> 10 +4 =14

=> 14 =14

//////////////////////////

=> 3*2 + 10/2 = x

=> 6 + 5 = x

=> 11 = x

Answer:

See the image for solution

Hope it helps

Have a great day

Answer:

-4 is the mid point

Step-by-step explanation:

-4 is in the middle of A and B

Answer:

Her monthly income is Rs. 21000

Step-by-step explanation:

15000 x ( 1 + 40 % )

= 15000 x 140 %

= 21000

Answer:

x = 5

Step-by-step explanation:

x^2/(x + 5) = 25/(x+5)      Subtract the right side from both sides.

x^2/(x + 5) - 25/(x + 5) = 0

x^2 - 25

=======   = 0

x + 5

(x + 5)(x - 5)

============= = 0

(x + 5)

Cancel x + 5 in the numerator and denominator.

x - 5 = 0

x = + 5

Does it check?

x^2/(x + 5) = 25/(x + 5)

x = 5

5^2/(10) = 25/10

25/10 = 25/10 Yes it checks.

Answer:  138.16 cubic feet (choice H)

This volume is approximate and occurs when you use pi = 3.14

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

Work Shown:

r = 2 ft = radius

h = 11 ft = height

V = volume of cylinder

V = pi*r^2*h

V = pi*2^2*11

V = pi*4*11

V = pi*44

V = 44pi .... exact volume in terms of pi

V = 44*3.14

V = 138.16 .... approximate volume and the final answer

Answer:”H”

Step-by-step explanation: just trust the process

Answer:

101

Step-by-step explanation:

Answer:

411 #

Step-by-step explanation:

solution :

Let x = the number of adult tickets sold

Let x + 61 = the number of student tickets sold

x + x + 61 = 761

2x = 700

x = 350

x + 61 = 411

mark me brain list

Step-by-step explanation:

Correct option is

A

50

n(AΔB)=n(A∪B)−n(A∩B) [As n(A∪B)=n(A)+n(B)−n(A∩B)]

=n(A)+n(B)−2n(A∩B)

=50+20−2(10)=50

Answer:

Statement is?

Step-by-step explanation:

As soon as you finish the question!

Answer:

Step-by-step explanation:

[tex]Remember:\\(a+b)(a-b)=a^2-b^2\\\\(6+5i)(6-5i)=6^2-(5i)^2=36-(-1)*25=36+25=61\\[/tex]

Answer:

40 is your answer

Step-by-step explanation:

3x= 120 ( vertically opposite angles)

x=120/3

x=40

Answer:

8/5 = x

Step-by-step explanation:

6 = 5x - 2

~Add 2 to both sides

8 = 5x

~Divide 5 to both sides

8/5 = x

Best of Luck!

Answer:

Step-by-step explanation:

I don't know

Answer:

[tex]\frac{49}{75}[/tex]

Step-by-step explanation:

y= [tex]\frac{11}{15}[/tex]-[tex]\frac{2}{25}[/tex]

y= [tex]\frac{49}{75}[/tex]

Answer:

49/75

Step-by-step explanation:

y + 2/25 = 11/15

now, we could do it like the other answer and do fraction arithmetic, or we try and multiply everything out to eliminate the fractions :

15y + 30/25 = 11

375y + 30 = 275

375y = 245

y = 245/375 = 49/75

the same result, of course, but a slightly different way to get there.

Answer:

keep can run millions at 30 friends all for 10 minutes for what purpose for running running of the steelers versus the dynasties of running of the

Answer:

3.16 miles

Step-by-step explanation:

Hi there!

Distance formula:

[tex]d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex] where two points are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

We're given that the campsite is located at (1,7) and the checkpoint station is located at (4,6). We must calculate the distance between them. Plug these points into the formula:

[tex]d=\sqrt{(x_2-1)^2+(y_2-7)^2}\\d=\sqrt{(4-1)^2+(6-7)^2}\\d=\sqrt{(3)^2+(-1)^2}\\d=\sqrt{9+1}\\d=\sqrt{10}\\d\approx3.16[/tex]

Therefore, the distance between the campsite and the checkpoint is 3.16 miles when rounded to the nearest hundredth.

I hope this helps!

Answer:

This is 3.747*11/sqrt(5)=18.4

the interval is (49.9,86.7), the SE added to and subtracted from the mean.

It is B

                          Thank You

Answer:

y = -1/2x - 1

Step-by-step explanation:

A line that is parallel to another will have the same slope. All we need to do is find the new y-intercept. We can do that by using the slope intercept form equation [ y = mx + b ].

1 = -1/2(-4) + b

1 = 2 + b

-1 = b

Now we can input the information we know and solved for back into the formula.

y = -1/2x - 1

Best of Luck!

Recall some identities:

sin²(x) + cos²(x) = 1

cos(2x) = cos²(x) - sin²(x)

and from the first identity, you can establish that

cos(2x) = 2 cos²(x) - 1

So, rewrite the integrand as much as possible in terms of cos(x) :

[tex]\sin^3(x) \cos(2x) = \sin(x) \sin^2(x) (\cos^2(x)-\sin^2(x)) \\\\ \sin^3(x) \cos(2x) = \sin(x) (1-\cos^2(x)) (2\cos^2(x) - 1)[/tex]

Then in the integral, substitute u = cos(x) and du = -sin(x) dx. With some rewriting, you end up with

[tex]\displaystyle \int_1^2 \sin^3(x) \cos(2x) \,\mathrm dx = -\int_{x=1}^{x=2} (1-\cos^2(x))(2\cos^2(x)-1) (-\sin(x)\,\mathrm dx) \\\\ = -\int_{u=\cos(1)}^{u=\cos(2)} (1-u^2)(2u^2-1)\,\mathrm du \\\\ = \int_{\cos(1)}^{\cos(2)} (1-3u^2+2u^4) \,\mathrm du \\\\ = \left(u-u^3+\frac25u^5\right)\bigg|_{\cos(1)}^{\cos(2)} \\\\ = \left(\cos(2)-\cos^3(2)+\frac25\cos^5(2)\right) - \left(\cos(1)-\cos^3(1)+\frac25\cos^5(1)\right) \\\\ = \boxed{\cos(2) - \cos^3(2) + \frac 25 \cos^5(2) - \cos(1) + \cos^3(1) - \frac25 \cos^5(1)}[/tex]

Answer:

Ans is 8