A solid right square prism is cut into 4 equal pieces parallel to its bases. The
volume of each piece is V = 1/4s2h.Solve the formula for s
Answers
Answer:
Step-by-step explanation:
If the volume of each piece is V = 1/4s²h then formula for s is 2√V/h
What is Three dimensional shape?a three dimensional shape can be defined as a solid figure or an object or shape that has three dimensions—length, width, and height.
Given that a solid right square prism is cut into 4 equal pieces parallel to its bases
The volume of each piece is V = 1/4s²h.
We have to solve for s
4V/h=s²
Take square root on both sides
√4V/h = s
2√V/h = s
Hence, if the volume of each piece is V = 1/4s²h then formula for s is 2√V/h
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Related Questions
PLSSSSS HELP>>>>>>>>>>>>>>>>>>>>>>>
When 4/15 is written as a decimal, how many digits are in the smallest sequence of repeating digits? A. 3 B. 2 C. 1 D. 0
Answers
Answer:
C. 1
Step-by-step explanation:
We have to convert 4/15 into decimal.
Divide 4 by 15
When we divide 4 by 15, we get 0.26666666666.....
As we can see that, the number 6 is repeating
Only one digit is repeating
Hence, the correct answer is one 6
A large grouper can weight 1/4 ton. how much does a large grouper weight to the nearest pound. [ please help ]
Answers
Answer:
500 pounds
Step-by-step explanation:
Step-by-step explanation:
To do this divide 2000 by 4.This will give you around 500.
Mr. Adam drives a school bus 5 days a week. Each day he travels 48.8 miles. How many miles does he drive per week?
Answers
Answer:
358 steps
Step-by-step explanation:
Lara made the table below of the predicted values for h(t), the height, in meters, of a penny t seconds after it is dropped off of the back of the bleachers.
A 2-column table with 9 rows titled Height of Penny over Time. The first column is labeled t with entries 0, 0.1, 0.2, 0.3, 0.4, 0.5, 0.6, 0.7, 0.8. The second column is labeled h(t) with entries 2, 1.951, 1.804, 1.559, 1.216, 0.775, 0.236, negative 0.401, negative 1.136.
To the nearest tenth of a second, how much time would it take the penny to hit the ground?
0.5 seconds
0.6 seconds
0.7 seconds
0.8 seconds
Answers
Answer:
Step-by-step explanation:
as the chart is broken into steps with the same precision we're looking for. Just choose the one where height is closest to zero or 0.6 s
To do it mathematically
The equation is
h = 2 - ½gt²
to find g, plug in a time and height
0.236 = 2 - ½g(0.6²)
g = 9.8 m/s
check another one just to be sure
1.559 = 2 - ½(9.8)0.3²
1.559 = 1.559
now plug in zero elevation with an unknown time
0 = 2 - ½(9.8)(t²)
-2 = - ½(9.8)(t²)
t² = 4/9.8
t = 0.6388765...
t = 0.6 s
The time it takes for the penny to hit the ground is about 0.6 seconds.
Option B is the correct answer.
What is an equation of a line?The equation of a line is given by:
y = mx + c
where m is the slope of the line and c is the y-intercept.
Example:
The slope of the line y = 2x + 3 is 2.
The slope of a line that passes through (1, 2) and (2, 3) is 1.
We have,
To determine the time it takes for the penny to hit the ground, we need to find the point where the height of the penny is equal to zero.
Looking at the table,
We can see that the height of the penny is negative when t = 0.7 and becomes more negative for larger values of t.
So the penny must hit the ground between t = 0.6 and t = 0.7 seconds.
Now,
We can use linear interpolation to estimate the time at which the height of the penny is zero by finding the equation of the line that passes through the two points closest to zero on the table, namely (0.6, 0.775) and (0.7, -0.401).
So,
The slope of the line passing through these points.
= (change in height) / (change in time)
= (-0.401 - 0.775) / (0.7 - 0.6)
= -1.176
The equation of the line passing through these points.
y - 0.775 = -1.176(x - 0.6)
Simplifying
y = -1.176x + 1.438
Setting y to zero and solving for x.
0 = -1.176x + 1.438
x = 1.438 / 1.176
x ≈ 1.22
Therefore,
To the nearest tenth of a second, the time it takes for the penny to hit the ground is about 0.6 seconds.
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a car travels 55 miles per hour for 2 hours. How far did it travel in 1 1/2 hours
Answers
Answer:
82.5 miles in 1 1/2 hours
Step-by-step explanation:
Using the information the question gives us we can find the appropriate answer to this question by dividing the miles per hour by two, and then add that number to the additional miles per hour.
55 miles = one hour
2 hours = 110 miles
1 1/2 hours = 55 ÷ 2 = 27.5
55 + 27.5 = 82.5 miles
82.5 miles
Hope this helps
Sofia ordered sushi for a company meeting. They change plans and increase how many people will be at the meeting, so they need at least 100100100 pieces of sushi in total.
Sofia had already ordered and paid for 242424 pieces of sushi, so she needs to order additional sushi. The sushi comes in rolls, and each roll contains 121212 pieces and costs \$8$8dollar sign, 8.
Let RRR represent the number of additional rolls that Sofia orders.
1) Which inequality describes this scenario?
Choose 1 answer:
Choose 1 answer:
(Choice A)
A
12+24R \leq 10012+24R≤10012, plus, 24, R, is less than or equal to, 100
(Choice B, Checked)
B
12+24R \geq 10012+24R≥10012, plus, 24, R, is greater than or equal to, 100
(Choice C)
C
24+12R \leq 10024+12R≤10024, plus, 12, R, is less than or equal to, 100
(Choice D)
D
24+12R \geq 10024+12R≥10024, plus, 12, R, is greater than or equal to,
Answers
Inequalities are used to represent unequal expressions.
The inequality is [tex]24 + 8R \ge 100[/tex]
The given parameters are:
[tex]Paid = 24[/tex]
[tex]Rolls = 12[/tex]
[tex]Cost = 8[/tex] --- the unit cost per roll.
Assume the number of additional roll is R.
So, the total number of sushi is:
[tex]Total=Paid + Cost \times R[/tex]
This gives
[tex]Total=24 + 8\times R[/tex]
Multiply 8 and R
[tex]Total=24 + 8R[/tex]
The sushi needed is at least 100.
This implies that:
[tex]Total \ge 100[/tex]
So, we have:
[tex]24 + 8R \ge 100[/tex]
Hence, the inequality is [tex]24 + 8R \ge 100[/tex]
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X^+17x+72=12 factoring quadratic equation
Answers
Answer:
The first term is, x2 its coefficient is 1 .
The middle term is, -17x its coefficient is -17 .
The last term, "the constant", is +60
Step-1 : Multiply the coefficient of the first term by the constant 1 • 60 = 60
Step-2 : Find two factors of 60 whose sum equals the coefficient of the middle term, which is -17 .
-60 + -1 = -61
-30 + -2 = -32
-20 + -3 = -23
-15 + -4 = -19
-12 + -5 = -17 That's it
Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -12 and -5
x2 - 12x - 5x - 60
Step-4 : Add up the first 2 terms, pulling out like factors :
x • (x-12)
Add up the last 2 terms, pulling out common factors :
5 • (x-12)
Step-5 : Add up the four terms of step 4 :
(x-5) • (x-12)
Which is the desired factorization
Equation at the end of step
1
:
(x - 5) • (x - 12) = 0
STEP
2
:
Theory - Roots of a product
2.1 A product of several terms equals zero.
When a product of two or more terms equals zero, then at least one of the terms must be zero.
We shall now solve each term = 0 separately
In other words, we are going to solve as many equations as there are terms in the product
Any solution of term = 0 solves product = 0 as well.
Solving a Single Variable Equation:
2.2 Solve : x-5 = 0
Add 5 to both sides of the equation :
x = 5
Solving a Single Variable Equation:
2.3 Solve : x-12 = 0
Add 12 to both sides of the equation :
x = 12
Supplement : Solving Quadratic Equation Directly
Solving x2-17x+60 = 0 directly
Earlier we factored this polynomial by splitting the middle term. let us now solve the equation by Completing The Square and by using the Quadratic Formula
Parabola, Finding the Vertex:
3.1 Find the Vertex of y = x2-17x+60
For any parabola,Ax2+Bx+C,the x -coordinate of the vertex is given by -B/(2A) . In our case the x coordinate is 8.5000
Plugging into the parabola formula 8.5000 for x we can calculate the y -coordinate :
y = 1.0 * 8.50 * 8.50 - 17.0 * 8.50 + 60.0
or y = -12.250
Parabola, Graphing Vertex and X-Intercepts :
Root plot for : y = x2-17x+60
Axis of Symmetry (dashed) {x}={ 8.50}
Vertex at {x,y} = { 8.50,-12.25}
x -Intercepts (Roots) :
Root 1 at {x,y} = { 5.00, 0.00}
Root 2 at {x,y} = {12.00, 0.00}
Solve Quadratic Equation by Completing The Square
3.2 Solving x2-17x+60 = 0 by Completing The Square .
Subtract 60 from both side of the equation :
x2-17x = -60
Now the clever bit: Take the coefficient of x , which is 17 , divide by two, giving 17/2 , and finally square it giving 289/4
Add 289/4 to both sides of the equation :
On the right hand side we have :
-60 + 289/4 or, (-60/1)+(289/4)
The common denominator of the two fractions is 4 Adding (-240/4)+(289/4) gives 49/4
So adding to both sides we finally get :
x2-17x+(289/4) = 49/4
Adding 289/4 has completed the left hand side into a perfect square :
x2-17x+(289/4) =
(x-(17/2)) • (x-(17/2)) =
(x-(17/2))2
Things which are equal to the same thing are also equal to one another. Since
x2-17x+(289/4) = 49/4 and
x2-17x+(289/4) = (x-(17/2))2
then, according to the law of transitivity,
(x-(17/2))2 = 49/4
We'll refer to this Equation as Eq. #3.2.1
The Square Root Principle says that When two things are equal, their square roots are equal.
Note that the square root of
(x-(17/2))2 is
(x-(17/2))2/2 =
(x-(17/2))1 =
x-(17/2)
Now, applying the Square Root Principle to Eq. #3.2.1 we get:
x-(17/2) = √ 49/4
Add 17/2 to both sides to obtain:
x = 17/2 + √ 49/4
Since a square root has two values, one positive and the other negative
x2 - 17x + 60 = 0
has two solutions:
x = 17/2 + √ 49/4
or
x = 17/2 - √ 49/4
Note that √ 49/4 can be written as
√ 49 / √ 4 which is 7 / 2
Solve Quadratic Equation using the Quadratic Formula
3.3 Solving x2-17x+60 = 0 by the Quadratic Formula .
According to the Quadratic Formula, x , the solution for Ax2+Bx+C = 0 , where A, B and C are numbers, often called coefficients, is given by :
- B ± √ B2-4AC
x = ————————
2A
In our case, A = 1
B = -17
C = 60
Accordingly, B2 - 4AC =
289 - 240 =
49
Applying the quadratic formula :
17 ± √ 49
x = —————
2
Can √ 49 be simplified ?
Yes! The prime factorization of 49 is
7•7
To be able to remove something from under the radical, there have to be 2 instances of it (because we are taking a square i.e. second root).
√ 49 = √ 7•7 =
± 7 • √ 1 =
± 7
So now we are looking at:
x = ( 17 ± 7) / 2
Two real solutions:
x =(17+√49)/2=(17+7)/2= 12.000
or:
x =(17-√49)/2=(17-7)/2= 5.000
Two solutions were found :
x = 12
x = 5
Step-by-step explanation:
please mark my answer in brainlist
round of the underlined digit in each day decimal number
Answers
Answer:
6) 25.57
7) .9
8) don't see a number underlined
Step-by-step explanation:
Amanda's family is taking a road trip. Their car can travel no more than 352 miles without needing to refill the gas tank. They have
traveled 108 miles since they last filled the gas tank.
Amanda knows that the inequality representing this situation is 108 + x < 352.
Select from the drop-down menu to correctly interpret the solution of this inequality.
Answers
Amanda family cannot travel more than 244 miles without needing to refill the gas tank.
Inequality is the non equal comparison of numbers or variables.
Let x represent the number of miles that they can travel before filling their gas tank.
Their car can travel no more than 352 miles without filling their tank. Also, they have traveled 108 miles since they last filled the gas tank. Hence:
x + 108 < 352
x < 244
This means that Amanda family cannot travel more than 244 miles without needing to refill the gas tank.
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Jenny has five basketball to treat soccer balls what fraction of the balls are basketballs
Answers
Answer:
5/8
Step-by-step explanation:
there is 8 total and 5 of them are basketballs
Change 41/7 from an improper fraction to a mixed number.
Answers
Answer:
5 6/7
Step-by-step explanation:
how many times does 7 go onto 41?
7 x 5 = 35
remainder is 6 so;
5 6/7
Hey there!
41/7
= (5 * 7 + 6)/7
= (5 * 7)/7 + 6/7
= 5 6/7
= 5 6/7 ≈ 41/7
Therefore, your answer is: 5 6/7
Good luck on your assignment and enjoy your day’
~Amphitrite1040:)
HELP NO LINKS THOUGH!!!!!!!!
Answers
[tex] \sf \longmapsto1 \frac{1}{3 } \div 1\frac{3}{4} [/tex]
[tex]\sf \longmapsto \frac{4}{3} \div \frac{7}{4} [/tex]
[tex]\sf \longmapsto \frac{4}{3} \times \frac{4}{7} [/tex]
[tex]\sf \longmapsto \frac{4 \times 4}{3 \times 7} [/tex]
[tex]\sf \longmapsto \frac{16}{21} [/tex]
Therefore, the answer is :
[tex]\sf \frac{16}{21} [/tex]
Maggie makes a scale drawing of a deck. The scale for the actual deck to the scale drawing is 7 ft
to 1 in. The dimensions of the deck are 28 ft by 17.5 ft. What are the dimensions of the deck in the
drawing? Show your work.
Answers
Answer:
The width is 2.5 inches
Step-by-step explanation:
The given ratio is 7 ft to 1 in
Now we will have 17.5 to x in
x * 7 = 17.5 * 1
7x = 17.5
x = 17.5/7
x = 2.5 inches
Which graph represents 6x-2y>-11
Answers
Answer:
Answer:
C
Step-by-step explanation:
Remember when using the inequality sign < or > the line will be dotted so we can immediately eliminate answer choices b and d
Now let us solve for y
6x-2y>-11
step 1 subtract each side by 6x
now we have
-2y>-11-6x
step 2 divide each side by -2
-11-/2=11/2
-6/-2=3
IMPORTANT -when you divide inequalities by a negative number you flip the inequality sign
So now we have
See image below for reference
When the inequality is facing x the solutions are going to be on top of the line
hope this helps!
Step-by-step explanation:
Triangles FEG and FDH are similar. If segment DH is 28 units, what is the
measure of segment EG?
Answers
Write slope intercept form of th equation of each line
Answers
Answer:
y = 8/5x + (-4) or y = 8/5x -4
Step-by-step explanation:
Slope-intercept form is written like this:
y = mx + b
The variable m, represents slope and b, represents the y-intercept.
To find slope, you have to find the rise/run or in other words, change of y over change of x.
From the look of the line, the slope has to be positive because the line is going up.
To go from the bottom point to the top, we have to go up 8 points and go to the right 5 points. Thus the slope is 8/5.
Now for the y-intercept. This part is easy. Just ask yourself this...
"Which of the two points is on the y-axis?"
In this case, it is the bottom point which is -4.
So your equation should look like this:
y = 8/5x + (-4)
or y = 8/5x - 4 because when you have a plus sign and a minus sign, the result is negative.
hope this helps :)
B. If the point are in line ( vertical) then it is not a functiom
Answers
Answer:
True.
Step-by-step explanation:
If a relation forms a vertical line, then that means a given input has multiple outputs. Because of this, it is not a function.
There are 13 pieces of chicken at the dinner table. After dinner, only 3 pieces are left. How many pieces were eaten at dinner?
16
8
7
10
Answers
Answer:
10
Step-by-step explanation:
13 pieses - 3 pieces = 10 pieces that are eaten
Answer:
10
Step-by-step explanation:
This class is algebra
Answers
Answer:
y = -1/2
Step-by-step explanation:
(3x + 4y = 4)
+
(2x - 4y = 6)
______________
5x = 10
x = 2
plug in x for any of the two equations ....
2(2) - 4y = 6
4 - 4y = 6
-4y = 2
y = -1/2
3x + 2 = 2x + 7
Solve x
Answers
3x + 2 = 2x + 7
Subtract 2 from both sides:
3x = 2x +5
Subtract 2x from both sides:
x = 5
Answer: x = 5
Find the distance between points A(−1, 5) and B(0, 4) to the nearest tenth.
Answers
Answer:
1.4
Step-by-step explanation:
Use the distance formula
d= √(x2-x1)² +(y2-y1)² , where x1, x2, y1, y2 are the coordinates of the points
A(x1 = −1, y1 = 5) and B(x2 = 0, y2 = 4)
d= √(0 - -1 )² +(4 - 5)²
d= √(1)² +(-1)²
d= √2
d= 1.414213562, round to the nearest tenth
d≈ 1.4
16.
Identify the axis of symmetry of the parabola.
A. x = -2
B. x = 1
C. x = -3
D. x = -1
Answers
Answer:
i don't know
Step-by-step explanation:
draw a diagram for this fraction
7/2
Answers
Answer:
You can't draw a diagram for a improper
fraction
deleteddddddddddddddddd
Answers
Answer:
i do not think it is possible to delete a question after you have posted it. if i were you i probably would have just edited it and save myself the emmbarasment
Step-by-step explanation:
14/3, 343/32, 26/3 all in its simplest form
Answers
Answer:
Step-by-step explanation:
14/3 = 4⅔
343/32 = 10 ²³/₃₂
26/3 = 8⅔
Express 8^-4 using a positive exponents
Answers
That’s the answer
I have more question
Answers
Answer:
you would need three wholes because each whole would represent a loaf of pumpkin bread
Is 2:4 and 3:8 proportion or not?
Answers
Answer:
No
Step-by-step explanation:
While these values are close, they are not equal, so I know the original fractions cannot be proportional to each other. So my answer is: The fractions are not
write an equation of the line below
Answers
Answer:
y=-x-2
Step-by-step explanation:
The slope is negative 1 and the y intercept is -2
77=(?+8.1)+7.4
What is the solution to “?”
Answers
Answer:
61.5
Step-by-step explanation:
61.5 + 8.1 + 7.4 = 77
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