please help!!!
What is the volume of this regular prism?
48.55 cubic inches
55.8 cubic inches
9.7 cubic inches
24.28 cubic inches

Answer:

Step-by-step explanation:

Answer:

5

5 1/2

6 1/2

Step-by-step explanation:

Let n=1

a1 = 5+(1-1)*(1/6)

a1 = 5

Let n=4

a4 = 5+(4-1)*(1/6)

a4 = 5 +3(1/6)

a4 = 5+1/2 = 5 1/2

Let n=10

a10 = 5+(10-1)*(1/6)

a10 = 5 +9(1/6)

a4 = 5+3/2 = 5 + 1 1/2 = 6 1/2

Answer:

36

Step-by-step explanation:

girls:boys=2:3

2units=24

1unit=24÷2=12

boys have 3 units

3units=12 x 3 =36

There are 36 boys

Answer:

3.24 kg

Step-by-step explanation:

internal Vol = (30-0.5)(16-1)(17-1) = 7080 cm^3 = 7.08ltrs

external Vol= 30* 16* 17 = 8160cm^3 = 8.16ltrs

Vol of thickness = 8160 - 7080 = 1080cm^3

Mass of the tank= density * volume = 3*1080 = 3,240g = 3.24 kg

Answer:

Step-by-step explanation:

Equation of circle: (x - h)² + (y - k)² = r²   where (h,k) is the center.

Center( -4 , 4) and r = 5

(x -[-4])² + (y - 4)²= 5²

(x + 4)² + (y-4)² = 25

x²  + 2*4*x +4²  + y²  - 2*y*4 + 4²  = 25

x²  +8x + 16 + y²  - 8y + 16 = 25

x²  + 8x + y²  - 8y + 16 + 16 -25 = 0

x²  + 8x + y²  - 8y +7 = 0

We have that the an equation of a circle given the center (-4,4) and radius r=5  is mathematically given as

(x-4)^2+(y-4)^2=5^2

Question Parameters:

Given the center (-4,4) and radius r=5

Generally the equation for the Equation of a circle   is mathematically given as

(x-x')^2+(y-y')^2=r^2

Therefore, The resultant equation will be

(x-x')^2+(y-y')^2=r^2

(x-4)^2+(y-4)^2=5^2

Hence,an equation of a circle given the center (-4,4) and radius r=5 is

(x-4)^2+(y-4)^2=5^2

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Is means equal to.

59 subtracted from m would be m-59

Answer: 351 = m - 59

Answer:

1 3/8 ft. tall.

Step-by-step explanation:

First, we need to find a common denominator between the two fractions.

8 is already a common denominator of 2, so convert 1/2 into 4/8.

Then add 7/8 and 4/8 to get 1 3/8 ft. tall.

Hope this helps.

If there is something wrong, just let me know.

Answer:

333354

Step-by-step explanation:

Simplify the expression.

Answer:

333,354

Step-by-step explanation:

First, we add the 3's. And get 21.

333,333 + 21 = 333,354

Answer:

10/3

Step-by-step explanation:

rate of change = gradient

(17-7)/(6-3) = 10/3

basically difference of y values / difference of x values

Answer:

a) 390

b)108

I hope this answer was helpfull for you

Answer:

[tex]\displaystyle m = \frac{22}{9}[/tex]

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Algebra I

Step-by-step explanation:

Step 1: Define

Identify

Point (1, 3)

Point (10, 25)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Answer:

c

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

18/14 = 1 remainder 4

18/7 = 2 remainder 4

Answer:

152

ΔY =  436 - 132 =304

Δ X = 6-4 = 2

ΔY/X = 304/2 = 152

Step-by-step explanation:

Answer:

204

Step-by-step explanation:

600 * .12 = 72

600 * .22 = 132

72 + 132 = 204

Have a great day!

Answer:

b = 7/2

x = 11/2

y = 21/2

z = -4

Step-by-step explanation:

2x + 2y + 2z = 24

x + y + z = 12

b + 2x + y + z = 21

2b + 2y = 28

b + y = 14

3x + y + z = 23

we can start anywhere by transforming these equations in a way that always one variable is excised by others.

so, e.g.

b = 14 - y

14 - y + 2x + y + z = 21

2x + z = 7

z = 7 - 2x

3x + y + 7 - 2x = 23

x + y = 16

16 + z = 12

z = -4

-4 = 7 - 2x

-11 = -2x

11 = 2x

x = 11/2

11/2 + y = 16

y = 16 - 11/2 = 32/2 - 11/2 = 21/2

b = 14 - 21/2 = 28/2 - 21/2 = 7/2

Answer:

y = -2x+7

Step-by-step explanation:

The slope intercept form of a line is

y = mx+b where m is the slope and b is the y intercept

y = -2x+b

Using the point

3 = -2(2)+b

3 = -4+b

3+4 = b

7=b

y = -2x+7

Answer:

x = 14.63

Step-by-step explanation:

Answer:

Step-by-step explanation:

a₂ = 9

a₃ = a₂-1.5

a₄ = a₃-1.5

a₅ = a₄-1.5

etc.

The terms have a common difference of -1.5, so the sequence is arithmetic.

Answer:

Step-by-step explanation:

The common difference is a y-thing. It looks like the difference in the y-values of each of these points is -1.5. That means that this is an arithmetic sequence because the common difference is consistently -1.5. In fact, the whole equation can be determined to be

[tex]a_n=-1.5n+12[/tex]

Answer:

Step-by-step explanation:

As,

- 0.0084

When estimated,

= - 0.008

[tex] = \frac{ - 8}{1000} [/tex]

Then,

[tex] - 8 \times \frac{1}{1000} [/tex]

[tex] = - 8 \times {10}^{ - 3} [/tex]

Here,

Power of ten as observed is -3

Answer:

The first two.

Step-by-step explanation:

See that L is 600mm MORE than W.

From there, you can note that L = W+600  

or rearrange the formula and get W= L-600

Then, see that the perimeter of a flag is 2L + 2W

(Because there are two four sides to a rectangle, 2 width, 2 length)

It must total to be 5 meters, or 5000mm

Thus,

2L + 2W = 5000

Answer:

12.53

Step-by-step explanation:

√(11²+(10-4)²)

= √157

= 12.53 (rounded to two decimal places)

Answered by GAUTHMATH

Answer:

Step-by-step explanation:

If you plot these points on a graph, you would see that this is definitely a line. Let's find the slope of the line first:

[tex]m=\frac{2-1}{6-5}=1[/tex] (I used the last 2 coordinates on the table because I don't like negatives; and since the slope is the same for the whole entire line, it doesn't matter which points you pick to go into your slope formula)

And then use that slope and any other point in the table to write the equation. I am going to use (4, 0), since I like the 0 (less work!)

In point-slope form:

y - 0 = 1(x - 4) and

y = x - 4

That's the function rule (aka equation) for the table.

Answer:

1 hour 33 minutes

Step-by-step explanation:

distance/speed= time

d =800/600

d=1.33

The aeroplane takes 1.33 hours to traverse a distance of 800 km.

Speed is the rate at which an object's position changes, measured in meters per second. For example, if an object starts at the origin, and then moves three meters in three seconds, its speed is one meter per second. The equation for speed is simple: distance divided by time

Given here: An airplane flies a distance of 800 km with an average speed of 600 km/h

Thus the time taken by the aeroplane to cover that distance is

t=800/600

t=4/3

t=1.33 hours

Hence, The aeroplane takes 1.33 hours to traverse a distance of 800 km.

Learn more about the speed of an object here:

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Answer:

y= [tex]\frac{c-2x}{3}[/tex]

Step-by-step explanation:

2x+3y=C

isolate y

3y=C-2x

y= [tex]\frac{c-2x}{3}[/tex]

Respuesta:

A = 1/16 × x²

Explicación paso a paso:

Un alambre de longitud x se dobla en forma de cuadrado. Como un cuadrado tiene 4 lados iguales la longitud de cada lado (l) será:

l = 1/4 × x

Para calcular el área de un cuadrado (A) usaremos la siguiente fórmula.

A = l²

A = (1/4 × x)²

A = 1/16 × x²

Answer:

x = 35

Step-by-step explanation:

Let x be the one of the other angles

X is also the third angle since we know they are equal

The sum of the angles of a triangle is 180

110+x+x = 180

110 +2x= 180

2x = 180-110

2x= 70

Divide by 2

2x/2 = 70/2

x = 35

Answer:

[tex]x = 35 \degree[/tex]

Step-by-step explanation:

Let the unknown angle be x

Unknown Angles are equal to each other so,

[tex]x + x + 110 = 180[/tex]

sum of the interior angles in a triangle is 180°

[tex]2x + 110 = 180 \\ 2x = 180 - 110 \\ 2x = 70 \\ \frac{2x}{2} = \frac{70}{2} \\ x = 35 \degree[/tex]

Answer:

V = 5,324 in^3

Step-by-step explanation:

V = 4([tex]\pi[/tex]r^3)/3

= 4(3)(11^3)/3

= 12(11)(11)(11)/3

= 12(1,331)/3

= 15,972/3

V = 5,324 in^3

Answer:

5575.28 or 5,324 depending on use of pie.

Step-by-step explanation

V=4/3πr3=4/3·π·113≈5575.27976

Hope this helps :)!

This is the answer if pie is used as 3.14.

V = 5,324 in^3 if pie used as 3.

V = 5575.28 in^3 if pie used as 3.14.

Answer:

becouse 4×960 will give you

3840

Answer:

24/25

I hope this will help you.