7. A clothing trunk measures 2.5 feet wide by 1.5 feet
high by 4 feet long. What is the volume of the clothin
trunk?

Answer:

4/55

90

90

Step-by-step explanation:

P= 4/55

mean = 90

median = 90

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

Answer:

1) 4/55

2) 90

3) 90

4) 1046.67 cubic feet

Step-by-step explanation:

Given:

The figure of triangle ABC.

The area of the triangle ABC is D.

[tex]m\angle B=\sin ^{-1}(\dfrac{m}{n})[/tex]

To find:

The value of m and n in the given expression.

Solution:

Let h be the height of the triangle ABC.

Area of a triangle is:

[tex]Area=\dfrac{1}{2}\times base\times h[/tex]

Where, b is the base and h is the height of the triangle.

[tex]Area=\dfrac{1}{2}\times a\times h[/tex]

The area of the triangle ABC is D.

[tex]D=\dfrac{1}{2}\times a\times h[/tex]

[tex]2D=ah[/tex]

[tex]\dfrac{2D}{a}=h[/tex]                  ...(i)

In a right angle triangle,

[tex]\sin \theta =\dfrac{Perpendicular}{Hypotenuse}[/tex]

[tex]\sin B =\dfrac{h}{c}[/tex]

[tex]\sin B =\dfrac{1}{c}\times \dfrac{2D}{a}[/tex]              [Using (i)]

[tex]\sin B =\dfrac{2D}{ac}[/tex]

[tex]m\angle B =\sin ^{-1}\dfrac{2D}{ac}[/tex]            ...(ii)

We have,

[tex]m\angle B=\sin ^{-1}(\dfrac{m}{n})[/tex]          ...(iii)

On comparing (ii) and (iii), we get

[tex]m=2D[/tex]

[tex]n=ac[/tex]

Therefore, the required values are [tex]m=2D, n=ac[/tex].

Answer:

262144

Step-by-step explanation:

The sequence increases by a multiple of -4

Therefore, you can either do 4⁹ or you can multiply by -4 until you have done that 9 times

Answer:

|2| and |14|

Step-by-step explanation:

Answer:

if I am not mistaken I think my answer 56

The first step to solve for r is (J) He should divide both sides of the equation by π.

The equation is given as:

A= πr^2

Divide both sides of the equation by π.

So, we have:

r^2 = A/π

Hence, the first step to solve for r is (J) He should divide both sides of the equation by π.

Read more about subject of formulas at:

https://brainly.com/question/11154728

Answer:

1,243.88 units² I think

Step-by-step explanation:

22 x 22 = 484

A = (3.14 x 11²)2 = 759.88

759.88 + 484 = 1,243.88 units²

Answer:

[tex] \displaystyle x = \frac{21y + 2}{15} [/tex]

[tex] \displaystyle y = \frac{15x - 2}{21} [/tex]

Step-by-step explanation:

remove parentheses:

[tex] \displaystyle x + 7y = 6x - \frac{2}{3} [/tex]

move x to left hand side and y to right hand side and change its sign:

[tex] \displaystyle x - 6x = -7y - \frac{2}{3} [/tex]

simplify Substraction:

[tex] \displaystyle - 5x = \frac{-21y - 2}{3} [/tex]

divide both sides by -5:

[tex] \displaystyle x = \frac{21y + 2}{15} [/tex]

move x to the right hand side and change its sign:

[tex] \displaystyle 7y = 6x - x- \frac{2}{3} [/tex]

simplify Substraction:

[tex] \displaystyle 7y =5x- \frac{2}{3} [/tex]

simplify substraction:

[tex] \displaystyle 7y = \frac{15x - 2}{3} [/tex]

divide both sides by 7:

[tex] \displaystyle y = \frac{15x - 2}{21} [/tex]

and we are done!

My first answer to this question was p<3/34 and I was wrong.

The answer really is p<12/25

Hope this helped God bless you! ❤️

Step-by-step explanation:

-1.4 or - 14/10

-1.3 or -13/10

-1.2 or -12/10

-1.1 or -11/10

-1.0 or -1/1

Answer:

Answer is C.

Step-by-step explanation:

8÷8= 1

1 whole

Answer:

Step-by-step explanation:

Tienes que multiplicar el seis y el cuatro lo que te multiplicarlo por 3,14y después dividirlo por dos

[tex](2x - 5)( - {3x}^{2} + 4x - 7) \\ - {6x}^{3} + {8x}^{2} - 14x + {15x}^{2} - 20x + 35 \\ - {6x}^{3} + {8x}^{2} + {15x}^{2} - 14x - 20x + 35 \\ - {6x}^{3} + {23x}^{2} - 34x + 35[/tex]

Answer:

-6x^3 + 23x^2 - 34x + 35.

Step-by-step explanation:

(2x - 5) (-3x^2 + 4x - 7)

= 2x(-3x^2 + 4x - 7) - 5(-3x^2 + 4x - 7)

= -6x^3 + 8x^2 - 14x + 15x^2 - 20x + 35

= -6x^3 + 23x^2 - 34x + 35.

Answer:

Answer:

Coping is very bad habit.... sorry I will not answer your question because ur coping...

Answer:

A. Quadrilateral

B. 360° = 2(82°) + 2( 3x - 1 )°

C. f(x) = ( 3x - 1 )

Step-by-step explanation:

360° = 164° + (6x - 2)°

360° - 164° + 2 = 6x

196° = 6x

x = 196°/6

x = Rationalize(32.33333333333)

Answer:

Given: circle

diameter = 10 cm => radius (R) = 5 cm

Find: measure of angle bounding sector = 11 π sq. cm.

Plan: determine what part of the circle’s total area equals the sector’s area.

Total Area of Circle A = π R^2 = π 5^2 = 25 π sq. cm.

Therefore: Sector Area = 11 π cm^2/25 π cm^2 = 11/25

Since the sector is 11/25 th of the circles area, the sector angle will measure 11/25 th of the circle’s circumference. They are proportional.

C = 2 π R = 2 π (5) = 10 π cm

Sector Arc = measure of sector angle = 11/25 (10 π) =

22π/5 radians

Answer: Sector Arc = 22π/5 Radians

Answer:

Step-by-step explanation:

37+82=x(sum of two interior opposite angles is equal to the exterior angle formed)

119=x

therefore x=119 degree

7) 20y-8=52

20y=60

y=3

11)2x+17=5x-4

21=7x

x=3

12)2x+7=16-4x

6x=9

x=9/6

x=3/2

x=1.5

14)8y+4=24-2y

10y=20

y=2

15)7-3x=2x+2

5=5x

x=1

16)

[tex] \frac{x - 3}{2} = 5 \\ x - 3 = 10 \\ x = 13[/tex]

Divide each term by −3-3 and simplify.

Inequality Form:

x≥3

Answer:

x≥3

Step-by-step explanation:

Divide both sides by -3.

−3x/ −3 ≤ −9/ −3

x≥3

Answer:

D. relation is a function

hope this helps :-))

Answer:

-16 and 24

Step-by-step explanation:

-16 x 24 = -384

-16 + 24 = 8

Answer:

Step-by-step explanation:

Answer:

x = 103⁰

Step-by-step explanation:

127+40+90+x = 360⁰

257+x = 360⁰

x = 360⁰- 257⁰

x= 103⁰

Answer:

12

Step-by-step explanation:

Answer:21

Step-by-step explanation:

Add them all up

The number of students who collect more than one coin is 12.

A Line plot can be defined as a graph that displays data as points or check marks above a number line, showing the frequency of each value.

Given that, Mr. Petersen counted the number of coins collected by the students in his coin club and prepared the line plot.

We need to find how many students collected more than 1 coin,

Here each X represents a student,

The numbers of mark X above 2 and 3 = 4 and 8

Therefore, total students = 12

Hence, the number of students who collect more than one coin is 12.

Learn more about line plots, click;

https://brainly.com/question/29573088

#SPJ2

Answer:

B

Step-by-step explanation:

x2 + x -6 = (x-2)(x+3)

x = 2, -3

The sum of interior angle of the given regular hexagon is 720 degree. The area of the hexagon with side of 8 units is 96√3 square units

The sum of interior angle of the given regular hexagon is 720 degrees

The measure of one of the angles is 120 degrees

<ABO = 120/2 = 60 degrees

Since all the angles of triangle ABO are the same, hence AB = 8 units

Determine the area of the hexagon

A = 3√3/2 a²

Substitute a = 8 units

A = 3√3/2 (8)²
A  = 3√3/2 * 64
A = 3√3 * 32

A = 96√3 square units

Hence the area of the hexagon with side of 8 units is 96√3 square units

Learn more on area of hexagon here: https://brainly.com/question/2919364

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Answer:

a) 35,  b) 25,  c) 60

Step-by-step explanation:

The number of girls is 10 more than the number of boys, so it's a good thing to choose a variable to represent the number of boys.

Number of boys:  b

Number of girls:  b + 10

Ratio of girls:boys is 7:5, so

[tex]\frac{b+10}{b}=\frac{7}{5}[/tex]

"Cross multiply" to get

[tex]7b=5(b+10)\\7b=5b+50\\2b=50\\b=25[/tex]

There are 25 boys.  There are 10 more girls, so the number of girls is 35, and the total number of students is 60.

That's a packed classroom!