A right rectangular prism has edges of 8 feet, 4 feet, and 1/2 foot. How many cubes with side lengths of 1/2 foot would be needed to fill the prism?

Answers

Answer 1

Answer:

Step-by-step explanation:

From the question we are told that

Edges of 8 feet, 4 feet, and 1/2 foot

Generally the volume V_p of the right rectangular prism is mathematically represented as

[tex]V_p=8*4*0.5[/tex]

[tex]V_p=16[/tex]

Generally volume of the cube V_c is mathematically given as

[tex]V_c =(\frac{1}{2})^3[/tex]

[tex]V_c =\frac{1}{6}[/tex]

Therefore total number of cubes is given as

[tex]V=\frac{V_p}{V_c}[/tex]

[tex]V=\frac{16}{\frac{1}{6}}[/tex]

[tex]V=96[/tex]


Related Questions

Which set of ordered pairs does not represent a function?
{(7,8),(−4,4),(3,8),(−7,−1)}
{(−5,−3),(−1,−8),(−7,0),(−5,−9)}
{(8,4),(6,−1),(−4,5),(9,4)}
{(8,−3),(4,0),(−4,9),(3,2)}

Answers

Answer:

The second one [(-5,-5),(-1,-8),(-7,0),(-5,-9)]

Step-by-step explanation:

This is because there is more than 1 point with the same X-Value

How to do the problem below, and can you show the work as well, thanks.

Answers

Answer:

it should be B. welcome!!

Step-by-step explanation:

cos sec² a - cot²a=1​

Answers

Answer:

The relation is:

cosec^2(a) - cot^2(a) = 1.

Where:

cosec(x) = 1/sin(x)

cot(x) = 1/tan(x) = cos(x)/sin(x)

Let's prove this.

Ok, we know by the Pythagorean theorem, that:

r^2 = x^2 + y^2

And we have the trigonometric relations, for an angle "a" measured from the x-axis

cos(a) = x/r

sin(a) = y/r

tan(a) = y/x

Where r is the hypotenuse, x and y are the catheti.

Now, let's divide the  Pythagorean theorem by y^2 in both sides to get:

(r^2/y^2) = (x^2 + y^2)/y^2

r^2/x^2 = x^2/y^2 + y^2/y^2

r^2/y^2 = 1 + x^2/y^2

(r/y)^2 = 1 + (x/y)^2

and remember that:

y/r = sin(a)

then:

r/y = 1/sin(a) = cosec(a)

(r/y)^2 = cosec^2(a)

and:

y/x = tan(a)

then:

x/y = 1/tan(a) = cot(a)

and:

(x/y)^2 = cot^2(a)

replacing these in the equation (r/y)^2 = 1 + (x/y)^2 we get:

cosec^2(a) = 1 + cot^2(a)

cosec^2(a) -  cot^2(a) = 1

Graph the line that passes through the points (6, 8) and (2, -2)and determine the equation of the line.

Answers

Answer:

y = 2.5x – 7

or

5/2x- -7

how many heavier is 9 pounds 20 ounces than 160 ounces (1 pound = 16 ounces)

Answers

1 pound = 16 ounces.

9 pounds 20 ounces =

9 x 16 = 144

144 + 20 = 164

164-160 = 4

9 pounds 20 ounces is 4 ounces heavier than 160 ounces.

Answer:

1 pound = 16 ounces

9 pounds 20 ounces =(9×16)+20= 144+20 =164 ounces

(164-160) ounces

9 pound 20 ounces is 4 ounces heavier than 160 ounces

4 ounce is the right answer.

Please answer correctly !!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!

Answers

Answer: 4). 35,56,89

Step-by-step explanation: for a triangle to be acute all three angles have to measure below 90 degrees

Answer:

your answer would be 4 or D

Step-by-step explanation:

a acute angle is and angle from 30-89

a 90 degree angle is just 90 degrees

and an obtuse angle is 91-130

so therefore you have your answer

D or 4

mark me brainiest

thanks for the points too

anddddd

sparkled and love

☆*: .。. o(≧▽≦)o .。.:*☆

ILL GIVE BRAINLIEST.

The number of students participating in this year's fundraiser is 6 more than
times the
number of students who participated last year. If x represents the number of students who
participated last year, which expression represents the number of students participating in
this year's fundraiser?

Answers

Answer:Simplifying

(5x + -6)(5x + -3) = 0

Reorder the terms:

(-6 + 5x)(5x + -3) = 0

Reorder the terms:

(-6 + 5x)(-3 + 5x) = 0

Multiply (-6 + 5x) * (-3 + 5x)

(-6(-3 + 5x) + 5x * (-3 + 5x)) = 0

((-3 * -6 + 5x * -6) + 5x * (-3 + 5x)) = 0

((18 + -30x) + 5x * (-3 + 5x)) = 0

(18 + -30x + (-3 * 5x + 5x * 5x)) = 0

(18 + -30x + (-15x + 25x2)) = 0

Combine like terms: -30x + -15x = -45x

(18 + -45x + 25x2) = 0

Solving

18 + -45x + 25x2 = 0

Solving for variable 'x'.

Factor a trinomial.

(3 + -5x)(6 + -5x) = 0

Subproblem 1

Set the factor '(3 + -5x)' equal to zero and attempt to solve:

Simplifying

3 + -5x = 0

Solving

3 + -5x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-3' to each side of the equation.

3 + -3 + -5x = 0 + -3

Combine like terms: 3 + -3 = 0

0 + -5x = 0 + -3

-5x = 0 + -3

Combine like terms: 0 + -3 = -3

-5x = -3

Divide each side by '-5'.

x = 0.6

Simplifying

x = 0.6

Subproblem 2

Set the factor '(6 + -5x)' equal to zero and attempt to solve:

Simplifying

6 + -5x = 0

Solving

6 + -5x = 0

Move all terms containing x to the left, all other terms to the right.

Add '-6' to each side of the equation.

6 + -6 + -5x = 0 + -6

Combine like terms: 6 + -6 = 0

0 + -5x = 0 + -6

-5x = 0 + -6

Combine like terms: 0 + -6 = -6

-5x = -6

Divide each side by '-5'.

x = 1.2

Simplifying

x = 1.2

Solution

x = {0.6, 1.2}

Step-by-step explanation:

please brainliest this is as good as i could get to an answer to your question

Answer:

5x/3+6

Step-by-step explanation:

Describe the lines below as parallel,
perpendicular, or neither.

2x - 5y = 25 and y= 5x+3

Answers

Answer:

Neither.

Step-by-step explanation:

First, we write 2x - 5y = 25 in slope-intercept form. That gets us y = 2/5x - 5. Now, we graph both the lines (check the image attached). Parallel means extending in the same direction, everywhere equidistant. Perpendicular means the relationship between two lines that meet at a right angle (90 degrees). As we can see in the screenshot, these lines don't fit any of these categories, so we put "neither."

The lines 2x - 5y = 25 and y = 5x + 3 are neither parallel nor perpendicular

What are lines and their slopes?

We know lines have various types of equations, the general type is

Ax + By + c = 0, and the equation of a line in slope-intercept form is

y = mx + b.

Where slope = m and b = y-intercept.

the slope is the rate of change of the y-axis with respect to the x-axis and the y-intercept is the (0,b) where the line intersects the y-axis at x = 0.

Equations of two lines are given, They are 2x - 5y = 25 and y = 5x + 3.

Now, Writing them in slope-intercept form,

2x - 5y = 25.

- 5y = - 2x + 25.

y = (2/5)x - 5.

And,

y = 5x + 3.

Now, We know lines parallel to each other have the same slope, and lines perpendicular to each other have a slope that is negative reciprocal of each other.

Therefore the lines y = (2/5)x - 5 and y = 5x + 3 are neither parallel nor perpendicular.

learn more about lines and slopes here :

https://brainly.com/question/3605446

#SPJ2

A carpenter is making a wooden window frame that has a width of 1 inch. How much wood does the carpenter need to build the frame? 5.5 + 106 square inches 5.5 + 116 square inches 5.5 + 153 square inches 5.5 + 162 square inches

Answers

Diagram attached

Answer:

5.5+106 square inches

Step-by-step explanation:

The wooden frame has different shapes- semi circle, rectangles  and we would have to calculate area of all the shapes to get the wood required.

To get area of the circle, we use the formula π(R²-r²)/2. Subtract the inner radius from the outer radius =

π(6²-5²)/2= 11π/2

=5.5π square inches

We add area of the semi circle to area of the 3 rectangles from the diagram:

2×1×48×10×1=106 square inches

The rectangle with 10 inches is because we subtracted one inch from both sides of the 12 inches rectangle to avoid repetition and overvaluing the area

Total area =5.5π +106 square inches

Options must have ommitted the "π"

Answer:

5.5 + 106 square inches

Step-by-step explanation:

Correct on edge

What is the value of x?
799
A. 36°
B. 14°
C. 1440
D. 56

Answers

Option A because the whole triangle equals 180 degrees so as long as your option plus the numbers in the triangle equal 180° you will get it right

Consider angle θ in Quadrant I, where cosθ = 513 . What is the value of sinθ?

Answers

Answer:

12/13

Step-by-step explanation:

According to SOH CAH TOA;

cos theta = adjacent/hyp = 5/13

adj = 5

hyp = 13

Get the opposite

opp = √13²-5²

opp = √169-25

opp = √144

opp = 12

Get sin theta

sin theta = opposite/hyp

sin theta = 12/13

Hence the value of sin theta is 12/13


40% of the sandwiches on a lunch platter are ham. If there are 8 ham sandwiches, how
many sandwiches are on the lunch platter in all?

Answers

Answer:

20 sandwiches is the total

Step-by-step explanation:

20 x 0.40 = 8

1/2 (3x – 7) = 2(x - 3)

Answers

3/2x–7/2=2x–6
3/2x-2x=7-6
-1/2x=1
x=1:1/2
x=2

Write the numerical expression as a power

giving brainlest if u do!!​

Answers

Answer: See explanation

Step-by-step explanation:

2. [tex]6^{5}[/tex]

4. [tex]3^{9}[/tex]

6. [tex]9^{3}[/tex]

8.[tex]\frac{2}{5} ^{2}[/tex]

Answer:

[tex]6^{5} \\3^{9} \\9^{3} \\\frac{2}{5} ^{2}[/tex]

Step-by-step explanation:

is this function linear or exponential?​

Answers

Answer:

This function is not linear.  

can someone help me plz

Answers

Answer:

y = 2x - 10

Step-by-step explanation:

The slope is 4 + 4 / 7 - 3 = 8 / 4 = 2

y = 2x + b

-4 = 6 + b

b = -10

Thank, 5 star, braniliest if helpful

Can someone help me with this

Answers

Answer:

Expanded form - 90,000+400+3

Number names - Ninety thousand four hundred and three

The surface area of the pyramid is

square inches.
fill in the blank

Answers

20736 squared inches
Find area of triangle first
(9*6)/2
27
Since there are four triangles
27*4
108
Area of a square
6*6
36
Add them
108+36
144
To get it to square inches multiply by 144
144*144
20736

PLEAS HELP ASAP!!! What is the equation for the line in slope-intercept form? ​

Answers

Answer:

[tex]y = 8x[/tex]

Step-by-step explanation:

Find slope by using Rise/Run.

Use two coordinate points that are part of the graph.

(0,0) and (2,16)

[tex]m = \frac{16 - 0}{2 - 0} \\ m = \frac{16}{2} \\ m = 8[/tex]

We have the slope. We need to find the y-intercept.

From the graph, the graph passes y-axis (0,0). Therefore the y-intercept is at (0,0)

[tex]y = mx + b[/tex]

[tex]m = 8 \\ b = 0[/tex]

Substitute m = 8 and b = 0 in the equation.

[tex]y = 8x + 0 \\ y = 8x[/tex]

help pls..............

Answers

the answer is between D or C

someone HELP pls
what the value of -1/4[12x-0.2(12x + 8x]

Answers

Answer:

-2x

Step-by-step explanation:

Please answer correctly !!!!!!!!!!!!!! Will mark Brianliest !!!!!!!!!!!!!!!!!

Answers

Answer:

e

Step-by-step explanation:

E I just did this in edgunity

In a right triangle, the measure of one angle is twenty more than four times a number. The other angle is three times a number. What is the measure of the angles in degrees?

Answers

Using a photo is easier

Ehich of thr following expressions has a Simplified value of 3A -2?

Answers

the answer is B. -a+4+5a-a-6

Jeffrey is making cookies to sell at the school fair. For one dozen cookies, he needs 2 ¼ cups of flour. if he has 33 ¾ cups of flour, how many dozen cookies can he make? How many total cookies can he make?

Please help me with this math problem‍​

Answers

Answer

Pretty sure he can make 15 dozens. Which means he can make 180 cookies.

Step-by-step explanation:

First, you would need to find how many times 2 1/4 cups can go into 33 3/4 cups. This would let you know how many dozens he can make. You would get an answer of 15 dozens. Then, you would multiply 15 times 12. You would multiply by 12 because a dozen is 12. You would then get an answer of 180. This means that he can make 180 cookies.

Hope I helped! :) Sorry if it's wrong :(

A chess club with 80 members is electing a new president. Hans received 32 votes. What percentage of the members voted for Hans?

Answers

Answer: 40%

Step-by-step explanation: To find what percentage of members voted for Hans simply multiply 32 by 100.

32 x 100 = 3200.

Then, divide that number, or 3200 by 80.

3200/80 = 40.

So, 40, or 40% of members voted for Hans.:)

Write an equation for the line in slope-intercept
form
(Use integers or fractions for any numbers in the
equation.)

HELP I DONT UNDERSTAND !!

Answers

Answer:

I got m=(-2)

Step-by-step explanation:

y2-y1/x2-x1

4-0/0-2

4/-2

4/-2

-2

the slope is -2

PLEASE HELPPPPPPPPPPPPPPPPPPPPPPPPPPPPP meeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeeee


A repair technician replaces cracked screens on phones. He can replace 5 screens in 3 hours. ( Let s represent the screens and h represent the time)


1. Write an equation you can use to represent the above situation.


2. Use your equations to determine how long it would take to replace 34 screens.

Answers

Answer: 1. s*h  2. 20.4 hours

Step-by-step explanation:  1. s*h

2. 20.4 hours  hope this helps.

What is the median of this group of numbers?
40, 40, 50, 50, 60, 80, 80, 80

Answers

Answer:

65

Step-by-step explanation:

Answer:

Step-by-step explanation:

given:

40, 40, 50, 50, 60, 80, 80, 80

There are 8 numbers in the data set. To split this data set down the middle, that is between 50 and 60:

40, 40, 50, 50 || 60, 80, 80, 80

So now to get the median you have to do the following/

(50+60)/2 which equals 55.

Median is 55.

f(x) = x2. What is g(x)?

A. g(x) = (3x)2
B. g(x) = 3x2
C. g(x) = 9x2
D. g(x)=1/3 X2

Answers

D lmk if that worked bud
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