The dimensions of a rectangular prism are shown below: Length 2 1/4 ft | width 1 ft | height 1 1/4 ft.
The lenghts of the sides of a small cube are 1/4 ft each.
Part A: how many small cubes can be packed in the rectangular prism? Show your work. (5 Points)
Part B: Use the asnwer obtained in part A to find the volume of the rectangular prism in terms of the small cube and a unit cube. (5 Points)
Answer:
See belowStep-by-step explanation:
Dimensions given:
l = 2 1/4 ft, w = 1 ft, h = 1 1/4 ftA small cube has side of 1/4 ft
Find the number of small cubes can fit in each dimension of the prism.
Length
2 1/4 : 1/4 = 9/4 * 4 = 9Width
1 : 1/4 = 1 *4 = 4Height
1 1/4 : 1/4 = 5/4 * 4 = 5Part A
Number of small cubes would be:
9*4*5 = 180Part B
Each small cube has volume:
V = (1/4)³ = 1/64 ft³The volume of the prism in terms of small cubes is 180 as we found above.
The volume in terms of unit cube:
V = 180*1/64 = 180/64 = 2 52/64 = 2 13/16 ft³ or 2.8125 ft³Someone plz help ToT
The scale factor is 1.5 because:
9 x 1.5 = 13.5
5 x 1.5 = 7.5
Martin bikes at a constant speed to a finish line that is 15 mi away. After 20 mins, he is 10 mi from the finish line. After 30 mins, he is 7.5 mi from the finish line. If a graph shows his distance y from the finish line, in miles, after x minutes, what
Is the slope of the graph, and What does it represent?
A 15; Martin's initial distance
from the finish line
B 15; Martin's final distance from the finish line
C -0.25; the rate at which
Martin's distance from the
finish line changes per minute
D 0.25; the rate at which Martin's distance from the start line changes per minute
The answer is C. -0.25; the rate at which Martin's distance from the finish line changes per minute
What is mathmatics ?
Answer:
The abstract science of number, quantity, and space. Mathematics may be studied in its own right ( pure mathematics ), or as it is applied to other disciplines such as physics and engineering ( applied mathematics )..
Ex :- Plus , minus
I HOPE IT IS HELPFULMathematics is a very important field of study in human society that can be described as the study of:
Numbers Quantities Spatial elementsMathematics is a science and one that is constantly evolving to allow us better understand our surroundings.
There are several ways to study the subjects described above such as by applying them to things such as engineering and other sciences, or simply studying them on their own.
In conclusion, math is a science of numbers.
Find out more on mathematics at https://brainly.com/question/14473572.
Using a stopwatch, Tyrone determines it takes him 58. 2 minutes to travel 30 miles to work. The stopwatch measures to hundredths of a minute. Going by the accuracy of the stopwatch, which is the most accurate determination for the number of feet per second Tyrone traveled on his way to work? 1 mile = 5,280 feet 19. 8 feet per second 19. 84 feet per second 45. 3 feet per second 45. 36 feet per second.
The most accurate determination for the number of 45.36 feet per second Tyrone traveled on his way to work.
Given that,
Using a stopwatch Tyrone determines it takes him 58.2 minutes to travel 30 miles to work the stopwatch measures to hundredths of a minute going by the accuracy of the stopwatch.
We have to determine,
Which is the most accurate determination for the number of feet per second Tyrone traveled on his way to work?
According to the question,
Tyrone determines it takes him 58.2 minutes to travel 30 miles to work,
the stopwatch measures to hundredths of a minute going by the accuracy of the stopwatch are determined by,
[tex]\rm Speed = \dfrac{Distance}{Time}[/tex]
Substitute the values in the equation,
[tex]\rm Speed = \dfrac{Distance}{Time}\\\\Speed = \dfrac{30}{58.2}\\\\Speed = \dfrac{50}{97} \ miles \ per \ minute[/tex]
If 1 mile = 5,280 feet, then his speed is,
[tex]\rm Speed = \dfrac{50}{97} \ miles \ per \ minute\\\\ Speed = \dfrac{50}{97} \times 5280 \\\\ Speed= \dfrac{26,400}{97}\ feet \ per \ minute\\[/tex]
And 1 minute = 60 seconds, then his speed is,
[tex]\rm Speed= \dfrac{26,400}{97}\ feet \ per \ minute\\\\ Speed= \dfrac{26,400}{97} \times \dfrac{1}{60} \\\\ Speed = \dfrac{4400}{97} \ feet \ per \ second \\\\ Speed = 45.36 \ feet \ per \ second[/tex]
Hence, The most accurate determination for the number of 45.36 feet per second Tyrone traveled on his way to work.
For more details about Equation refer to the link given below.
https://brainly.com/question/971941
Students who
ride the bus
65% of the 800 students at North High School ride the
bus. How many students ride the bus?
0 65
?
100 multiplied by
is equal to 800
H
65 multiplied by
vis equal to
0 100
800
out of
students ride the bus.
All
students
100 POINTS + WILL MARK YOU BRAINLY PLEASE HELP
a) Create a scatter plot displaying the data in the table. Be sure to include a linear trend line.
(only answer if you know the answer)
Answer:
The scatter plot is in the picture attached
pls help it's due today
Answer:
x = 5
y = 8.66
Step-by-step explanation:
I hope this helps!!
Daniel purchased a 1 year CD, c, from a bank. He bought it at an annual interest rate of 6%. After 1 year, Daniel cashes in the CD. What is the total amount it it worth?
Step-by-step explanation:
if I understand correctly, then he bought a CD with a balance of c and an annual interest rate of 6%.
now, after this one year the CD is worth (the account balance is) c + 6% = 100% + 6% = 106% = 1.06×c
The table shows the amount of applesauce made from one apple from each size Patrice has 17 medium apples and 23 large apples was the total amount of applesauce that you can make with these apples
Hope I helped! Have a wonderful day!
WHOEVER ANSWERS FIRST AND CORRECTLY GETS BRAINLIEST!
9y + 2 = 58; {4,5,6}
Please show your work.
A, Y=4
B, Y=5
C, Y=6
Answer:
Im pretty sure c Y=6
Step-by-step explanation:
9y+2=58
Subtract 2 from both sides.
9y=58−2
Subtract 2 from 58 to get 56.
9y=56
Divide both sides by 9.
y= 56/ 9 Which is Also 6.2
Translate this phrase into an algebraic expression.
7 increased by twice Goran's savings
Use the variable g to represent Goran's savings.
Answer: 2g + 7 or 7 + 2g
Step-by-step explanation:
7 increased by twice g can be represented as 2g + 7 or 7 + 2g
Scale: 2inches = 1 ft
1.)Jenna's father is going to use the blueprint above to make a playhouse for her. The length of the entire first floor is 12 inches. What is the actual length?
2.)The width of the entire first floor it is 8 inches. What is the actual width?
3.)What scale factor did Jenna's father use to go from the drawing to the actual house?
4.)What is the perimeter of the first that floor Jenna's that father built?
5.) What is the area of the first floor that Jenna's that father built?
The actual lenght will be 6 fee
The actual width will be 4 feet
The scale factor that Jenna's father used to go from the drawing to the actual house is 1.5
The perimeter of the floor is 20 feet
The area of the first floor that Jenna's that father built is 24ft²
Given the conversion factor 2inches = 1feet
1) If Jenna's father is going to use the blueprint above to make a playhouse for her and the length of the entire first floor is 12 inches, the actual length in feet is expressed as:
12 inches = x
2inches = 1feet
_____________________________
2x = 12
x = 6 feet
Hence the actual lenght will be 6 feet
2) If the width of the entire first floor is 8 inches, the actual width is expressed as;
8 inches = x
2inches = 1feet
_____________________________
2x = 8
x = 4 feet
Hence the actual width will be 4 feet
3) Thee scale factor will be the ratio of the length to the width as shown:
Ratio = length/width
Ratio = 6/4
Ratio = 3/2
Hence the scale factor that Jenna's father used to go from the drawing to the actual house is 1.5
4) The perimeter of the floor = 2(L + W)
Perimeter = 2(6 + 4)
Perimeter = 2(10)
Perimeter of the floor is 20 feet
5) Area of the floor = length * width
Area of the floor = 6ft * 4ft
Area of the floow = 24ft²
Hence the area of the first floor that Jenna's that father built is 24ft²
Learn more on area and perimeter of rectangle here:https://brainly.com/question/19819849
Is this sample of the coins likely to be representative?
Answer: yes
Step-by-step explanation:
Which of the following is equivalent to 16/3
Answer:
C
Step-by-step explanation:
6÷3=2
9÷3=3
combined that is 15/3
so the extra 1 goes back into the fraction
giving us 5 1/3
The price of an item has been reduced by 20% The original price was $32 find the price of the item now.
Answer:
25.6
Step-by-step explanation:
32-(32*20%)=32-6.4=25.6
a/6 is greater than 1
Answer: if its a proper fraction, 1 is always greater. Just know that because something doesnt look right here!
Step-by-step explanation:
1) For which pair of triangles could ONLY the Side Angle Side postulate (SAS) be used to prove the triangles congruent?
A) Pair A
B) Pair B
9 Pair
D) Pair D
2) For which pair of triangles could either the Side Angle Side postulate (SAS) or Side Side Side postulate (SSS) be used
to prove the triangles congruent?
A) Pair A
B) Pair B
C) Pair C
D) Pair D
Answer:
1) A
2) D
Step-by-step explanation:
1) You can see that both sides are equal and they have only one angle in common
2) This one is a bit more quirky. You have to complete the angles. First, you name the two that are in front of each other because of the vertice. In that way, you can see that they have one side in common (S), then the angle which we just explained (A), and finally another side (S)
Hope this was helpful.
Prove that APQR ~ ASTU
Thats how i do it ....i dont know about others
This is my question pls help!!!
Answer:
[tex]20 {e}^{9} {f}^{11} [/tex]
Show Work:
[tex]5 \times {e}^{3} \times {f}^{3} \times 4 \times {f}^{8} \times {e}^{6} \times {e}^{0} [/tex]
[tex]5 \times {e}^{3} \times {f}^{3} \times 4 \times {f}^{8} \times {e}^{6} \times 1[/tex]
[tex]5 {e}^{3} {f}^{3} \times 4 {f}^{8} {e}^{6} [/tex]
[tex]20 {e}^{9} {f}^{11} [/tex]
[tex]5 \times {e}^{3} \times {f}^{3} \times 4 \times \times {f}^{8} \times {e}^{6} \times {e}^{0} \\ = 5 \times 4 \times {e}^{3 + 6 + 0} \times {f}^{3 + 8} \\ = 20 {e}^{9} {f}^{11} [/tex]
Answer:
[tex]20 {e}^{9} {f}^{11} [/tex]
Hope you could get an idea from here.
Doubt clarification - use comment section.
Find the value of x and the indicated angles.
Answer:
x = 33Indicated angles: 126°Step-by-step explanation:
We can tell that 4x - 6 is equal to 2x + 60 because they are vertically opposite angles. Now, let's solve.
=> 4x - 6 = 2x + 60=> 4x - 2x = 6 + 60=> 2x = 66=> x = 33Since we have found the required variable, we can now solve the indicated variables.
Given angles:
4(33) - 62(33) + 60Let's solve 4(33) - 6 first.
4(33) - 6132 - 6126Therefore, 4(33) - 6 measures about 126°. Now, let's solve 2(33) + 60.
2(33) + 6066 + 60126We can clearly see that both angles are equal (126 = 126) Because of vertically opposite angles.
Conclusion:
Therefore, the required variable is 'x = 33' and when we substitute the variable in both angles, we find that both angles show 126°.
Hoped this helped.
[tex]BrainiacUser1357[/tex]
simplify the expressions 4y+2x-y+8
Hey there!
4y + 2x - y + 8
= 4y + 2x - 1y + 8
COMBINE the LIKE TERMS
= (4y - 1y + (2x) + (8)
= (4y - y) + (2x) + (8)
= (2x) + (4y - y) + 8
= 2x + 3y + 8
Therefore, your answer is: 2x + 3y + 8
Good luck on your assignment and enjoy your day!
~Amphitrite1040:)
Answer:
3y+2x+8
Step-by-step explanation:
All you really do is combine the like terms, which in this case is the 3y and the -y. think of the y more as -1y and that is why it's subtrcated.
an equilateral triangle with the perimeter of 90cm, what is the length of its side?
Answer:
The length of its side is 30 cm
Step-by-step explanation:
Given:An equilateral triangle with the perimeter of 90cm.
In a Equilateral Triangle all sides are equal
i.e., all 3 sides are equal
Now,
90/3 = 30 cm
Thus, The length of its side is 30 cm
-TheUnknownScientist 72
an equilateral triangle with the perimeter of 90cm, what is the length of its side?
Answer:-30cm
Explanation:-Given,
Perimeter of the equilateral triangle = 90cm
We know that,
All three sides of an equilateral triangle are equal.
So,
90/3 = 30cm
The length of the side is 30cm.
Find the surface area of a sphere with a diameter of 10 centimeters.
a. 1,256.6 cm3
b. 104.7 cm3
c. 314.2 cm3
d. 209 cm3
are 3x + 2 and 3 (x + 2 ) equal
Answer:
No
Step-by-step explanation:
Parenthesis means to multiply. So, to simplify the expression 3(x + 2), we need to distribute 3. In other words, we need to multiply 3 to x and to 2. Thus 3(x + 2) = 3x + 6.
(sin^2(0)) I really need help with this asap
Answer:
Asapa
[tex] (sin2(0) [/tex]
What percentage of all water on Earth is freshwater in liquid form?
67%
1%
31%
3%
Answer:
3% freshwater
Step-by-step explanation:
What percentage of all water on Earth is freshwater in liquid form?
67%
1%
31%
3%
Answer:
1%
Step-by-step explanation:
3% is wrong. I took the test and I’ve studied this :)
u +7 at u=9 step by step explanation plus answer i really need to know how please
Determine the total number of roots of each polynomial function.
f (x) = (3x4 + 1)2
Can i have help with these two problems.
Answer:
(11/7)x + (3/7)y
Step-by-step explanation:
Perform the indicated multiiplication. We get:
(6/7)x - (2/5)y + (5/7)y + (5/7)x
Now combine like terms, obtaining: (11/7)x + (3/7)y
An alternative expression would be (1/7)(11x + 3y)
