Tyler has asked for a fish tank for his birthday. The tank he wants is a rectangular prism 20 inches long, 10.5 inches wide, and 12.5 inches tall. What is the volume of the fish tank?

Answer:

b= 3.5

s= 10.5

p=21

Step-by-step explanation:

b for brush

s for sketch book

p for paint set

b=1/3s

s= 1/2 p

b+s+p=37-2

1/3 s +s+2 s =35

1/3 s +s +2 s =35

10/3 s=35

s= 35*3/10

s= 10.5

b=1/3 s = 10.5/3 = 3.5

s= 1/2 p so p= 2s = 2( 10.5) = 21

10.5+3.5 + 21 = 35

Answer:

452.4 cm

Step-by-step explanation:

the formula for the area of a circle is A = pi r^2

Answer:

3. 91.125

4. 30.375

Step-by-step explanation:

just multiply all of the sides

MARK ME BRAINLIEST

Answer:

Given below

Step-by-step explanation:

Area of cube = s*s*s

= 4.5x4.5x4.5=

91.125 mm^3

Area of cuboid is lbh

= 6*2.25*2.25

= 30.375 mm^3

Answer: 277/12

Step-by-step explanation:

Use the order of operations or pemdas (parenthesis, exponents, multiplication, division, addition, subtraction) to solve this equation:

3 / 6^2 +7 x 4 - 5        

there are no parenthesis, so exponents

= 3 / 36 + 7 x 4 - 5            

now multiplication and division(from left to right)

= 3 / 36 + 7 x 4 - 5

= 1/12 + 28 - 5                  

addition and subtraction are next(it doesn't matter the order in this case):

1/12 + 23

=  1/12 + 276/12

= 277/12

i hope this helps

Answer:

B

Step-by-step explanation:

Given

n ≥ - 5

The symbol means that n can equal - 5 and values greater than - 5

Values greater than - 5 are to the right of - 5 on the number line.

- 4.5 and - 3 are to the right of - 5, thus greater than - 5

The set of values which make the inequality true are

{ - 5, - 4. 5, - 3 } → B

Answer:

Yes, time play a factor in his decision, because after 3 years, option a is better, but after 9 years, option b is better.

Step-by-step explanation:

The following information is missing:

Mr. Nicholson accepts a job that pays an annual salary of $60,000. In his employment contract, he is given the option of choosing a) an annual  raise of $3,500 or b) an annual raise of 5% of his current salary.

The function that describes each situation is:

a) f(x) = 60,000 + 3,500*(x-1)

b) f(x) = 60,000*1.05^(x-1)

where x represents years and f(x) his salary.

Mr. Nicholson’s potential income for three years and nine years for each situation are:

a) f(3) = 60,000 + 3,500*(3-1) = $67,000

f(9) = 60,000 + 3,500*(9-1) = $88,000

b) f(3) = 60,000*1.05^(3-1) = $66,150

f(9) = 60,000*1.05^(9-1) = $88,647

Answer:

Use the slope-intercept form  

y = m x + b

to find the slope  m  and y-intercept  b .

Slope:  

2

y-intercept:  

− 7 2

Lines with the same slope are parallel.

parallel = 2

Answer:

D

Step-by-step explanation:

you can just find the value of y and try some number of x

i.e. if x = 0, both of them will be 0

x = 1

G(x) result is -2

F(x) result is 1

x= -1

G(x) result will be 2

F(x) result is -1

so from these we can prove that G(x) is bigger graph than F(x) but flip vertically by y axis

Answer:

Quotient of a number and 3 = x/3

Ten less the quotient of a number and 3 will equal 6

So...

10 - x/3 = 6

    + x/3      +x/3

10 = x/3 +6

-6              - 6

3 × 4=(x/3) × 3

12 = x

Answer:

The number is 48

Step-by-step explanation:

The number be x

Quotient of the number and 3 : x/3

Ten less the quotient of the number and x :  x/3 -10

[tex]\frac{x}{3}-10=6\\\\\frac{x}{3}=6+10\\\\\frac{x}{3}=16\\\\x=16*3\\\\x=48[/tex]

Answer:

Option (d).

Step-by-step explanation:

Note: The base of log is missing in h(x).

Consider the given functions are

[tex]h(x)=\log_2x[/tex]

[tex]m(x)=\log_2(x+3)[/tex]

The function m(x) can be written as

[tex]m(x)=h(x+3)[/tex]           ...(1)

The translation is defined as

[tex]m(x)=h(x+a)+b[/tex]           .... (2)

Where, a is horizontal shift and b is vertical shift.

If a>0, then the graph shifts a units left and if a<0, then the graph shifts a units right.

If b>0, then the graph shifts b units up and if b<0, then the graph shifts b units down.

On comparing (1) and (2), we get

[tex]a=3,b=0[/tex]

Therefore, we have to translate each point of the graph of h(x) 3 units left to get the graph of m(x).

Hence, option (d) is correct.

Answer:

The height is 4cm

Step-by-step explanation:

Multiply 9 x 5 which is 45

Then divide 180 from 45

You get 4

To check your work, multiply 9 x 5 x 4 and you get 180! hopes this helps

The hypotenuse is √2 times as long as either leg of a 45-45-90 triangle

A triangle is a plane figure or polygon with three sides and three angles.

A Triangle has three vertices and the sum of the interior angles add up to 180°

Let the Triangle be ΔABC , such that

∠A + ∠B + ∠C = 180°

The area of the triangle = ( 1/2 ) x Length x Base

For a right angle triangle

From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

if a² + b² < c² , it is an obtuse triangle

if a² + b² > c² , it is an acute triangle

Given data ,

Let the triangle be represented as ΔABC

Now , the measure of ∠ACB = measure of ∠BAC = 45°

And , the measure of ∠ABC = 90°

So , the triangle is a 45-45-90 triangle

Now , the measure of the sides be AB = BC = 1 unit

And , From the Pythagoras Theorem , The hypotenuse² = base² + height²

if a² + b² = c² , it is a right triangle

The measure of side AC ( hypotenuse ) = √ ( AB )² + ( BC )²

The measure of side AC ( hypotenuse ) = √ ( 1 + 1 )

The measure of side AC ( hypotenuse ) = √2 units

Hence , the measure of the hypotenuse of 45-45-90 triangle is √2 units

To learn more about triangles click :

https://brainly.com/question/16739377

#SPJ7

Answer:

y + 1 = -2/1 (x - 6)

Step-by-step explanation:

The above equation is written in point slope from. To find the slope of a line perpendicular to another line all you have to do is find the opposite reciprocal to the slope of the original line. The original line's slope is 1/2, the reciprocal is 2/1 and to create the opposite reciprocal you have to change the sign of the slope, so the new slope is -2/1. To finish the rest of the equation you plug in the points given to you in the question.

Answer:

Step-by-step explanation:

First, since the line is perpendicular to the given one, the slopes are negative reciprocals. The slope of the equation we must write is -2.

Now, we can set up point slope form:

y-y1 = m(x-x1)

y + 1 = -2(x - 6)

Now, we can change that to slope intercept form:

y + 1 = -2(x - 6)

y + 1 = -2x + 12

y = -2x -11

Hope this helped :)

Answer: 36 square feet

Step-by-step explanation:

Answer: 46%

Step-by-step explanation:

Hi, to answer this question we have to write an equation:

The price of a movie ticket ten years ago (6.50) multiplied by a percentage in decimal form (x) is equal to 9.50.

6.50x = 9.50

Solving for x  

x =9.50/6.50

x = 1.46

Multiplying by 100 to obtain the percent form:

1.46 x 100 = 146%

Finally we have to subtract 100 to obtain the percent increase:

146-100 = 46%

Feel free to ask for more if needed or if you did not understand something.

Answer:

14,300 ft

Step-by-step explanation:

Here are the following perimeters rounded to the nearest hundred:

5534 rounds down to 5500

1666 rounds up to 1700

1566 rounds up to 1600

5534 rounds down to 5500

The sum of these is the following:

5500 ft + 1700 ft + 1600 ft + 5500 ft = 14,300 ft

Answer:

volume of cone is 285

volume of cylinder is 95

Step-by-step explanation:

Answer:

False

Step-by-step explanation:

A perpendicular line parallel to the y- axis has equation

x = c

where c is the value of the x- coordinates the line passes through.

The line passes through (1, 5) with x- coordinate 1, thus

x = 1 ← equation of perpendicular line

Answer:

B. False

Step-by-step explanation:

I hope this helps!

Short version of the answer.

Answer:

for x =3  y = 4

Step-by-step explanation:

Go across to x = 3

Then go up until you reach a dot

The got left to read the y value

for x =3  y = 4

Answer:

6.9

Step-by-step explanation:

Answer:

A. Securing venture capital

Answer: getting debt financing

Step-by-step explanation:

Answer:

Step-by-step explanation:

[tex]a^2+b^2=c^2\\14^2+x^2=c^2\\14^2=196\\39^2=1521\\x^2=1521-196\\=1325\\\sqrt{1325} \\x=36.4ft[/tex]

Answer: Q

Step-by-step explanation: the 23 thing simplified would be 4 and a bunch of decimals. Q is the answer on four, and the 23 thing is closest to four, so Q would be the correct answer.

Number lines are used to represent numbers at regular interval.

[tex]\sqrt{23}[/tex] is represented by point Q

The number is given as:

[tex]\mathbf{Number = \sqrt{23}}[/tex]

Take square root of 23

[tex]\mathbf{Number = 4.79583152331}[/tex]

The above equation means that: the square root of 23 is between 4 and 5, and it is closer to 4.5 than 5.

The point on the number line that represents the above highlight is point Q.

Hence, [tex]\sqrt{23}[/tex] is represented by point Q

Read more about number lines at:

https://brainly.com/question/19943246

Answer:

1/758

Step-by-step explanation:

Part/whole

Answer:

1/758

Step-by-step explanation:

hope that helps

The standard equation of a unit circle is

x²+y²=1

So, if we want a radius of 4, we need to square it.

so we have x²+y²=16

Answer:

x^2 + y^2 = 16

Step-by-step explanation:

The equation of a circle is given by

(x-h)^2 + (y-k)^2 = r^2  where (h,k) is the center and r is the radius

(x-0)^2 + (y-0)^2 = 4^2

x^2 + y^2 = 16

Answer:

16 units

Step-by-step explanation:

the formula of a triangle is hbb/2