Answer:
[tex]w=\frac{V}{lh}[/tex]
Step-by-step explanation:
As per the statement:
The volume of a rectangular prism is calculated using the formula:
[tex]V = lwh[/tex] ....[1]
where, V is the Volume of the prism
l is the lenght
w is the width
h is the height of the prism respectively.
We have to Rewrite the formula to find the width of the base of the prism.
Divide equation [1] by [tex]lh[/tex] to both sides we have;
[tex]\frac{V}{lh} = \frac{lwh}{lh}[/tex]
Simplify:
[tex]\frac{V}{lh} = w[/tex]
or
[tex]w=\frac{V}{lh}[/tex]
Therefore, the the formula to find the width of the base of the prism,if the volume, length of the base, and height of the prism are already known is:
[tex]w=\frac{V}{lh}[/tex]
To find the width of a rectangular prism when the volume, length, and height are known, you can rearrange the formula V = lwh to solve for width, resulting in the formula w = V / (lh).
Explanation:The volume of a rectangular prism is calculated using the formula V = lwh, where V is the volume, l is the length, w is the width, and h is the height. If we know the volume (V), the length of the base (l), and the height of the prism (h), and we want to find the width (w), we can rearrange the formula to solve for width.
To do this, you divide both sides of the equation by the length and the height. As a result, the formula to find the width when the volume, length, and height are known is w = V / (lh). By dividing the volume by the product of the length and the height, you can find the width of the base of the prism.
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Suppose that the length of a certain rectangle is 5 meters less than four times its width. the perimeter of the rectangle is 40 meters. find the length and width of the rectangle.
What type of transformation takes the graph of
f(x)=|x|
to the graph of
g(x)=â3+|x|
?
Â
vertical translation of 3 units up
horizontal translation of 3 units right
vertical translation of 3 units down
horizontal translation of 3 units left
The measure of an angle is 1/4 the measure of its complement. Find the measure of each angle
The two angles are 18 degrees and 72 degrees. The smaller angle is one-fourth of the larger, and they add up to 90 degrees because they are complementary.
Explanation:In mathematics, complementary angles are two angles whose measures add up to 90 degrees. Based on the question, let's denote the smaller angle as x and the larger angle (its complement) as y.
Given that x is 1/4 of y, we can write the equation x = y/4.
Also, since they're complementary, their measures add to 90 degrees, giving the equation x + y = 90.
From x = y/4, it can be inferred that y = 4x. Substituting y in the second equation we get x + 4x = 90, which simplifies to 5x = 90. Dividing both sides by 5, we have x = 18.
To find y, substitute x = 18 into the equation y = 4x, giving y = 4*18 = 72. Therefore, the measures of the two angles are 18 and 72 respectively.
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The height of a triangle is 4 cm more than twice the length of the base. the area of the triangle is 63 cm2. find the height of the triangle.
Answer:
THE ANSWER COULD BE 14
Amy, who is 17 years old, is 5 years older than twice Moe's age.Write an equation that you could solve to find Moe's age. Solve the equation and describe your steps.
find the digit that makes 2,72_ divisible by 6
To find the missing digit to make 2,72_ divisible by 6, add the digit 4.
To find the digit that makes 2,72_ divisible by 6, we need to focus on the divisibility rules for 6. In this case, a number is divisible by 6 if it is divisible by both 2 and 3. For 2, the last digit must be even, and for 3, the sum of the digits must be a multiple of 3.
Given the number 2,72_, the blank digit needs to be 4 to make the number divisible by 6. This is because when the digit 4 is added, the number becomes 2,724, which is divisible by both 2 and 3.
Richard borrowed $950 from his parents to make some repairs on his car. He promised to repay the loan by giving his parents at least $85 from his paycheck each week. Assuming richard sticks to his promise, which of the following is not a possible scenario for the amount of debt Richard has remaining?
I think it's B but I'm not 100% sure
Answer:
B
Step-by-step explanation:
To solve this, you need to know first how many weeks will take Richard replacing the money.
We will call X the number of weeks so we say
$85 * X =$950
X= 11.17
This means it will take at least ≈12 weeks to pay his debt.
To know which scenario it's not possible, use the equation to choose the right option.
A: $85*5= $425
After 5 weeks, he paid $425, this mean he's $525 in debt.
B: $85*6= $510
After 6 weeks, he paid $510, this means he's $440 in debt.
C. $85*7= $595
After 7 week,s he paid $595, this means he's $355 in debt.
D. $85*8= $680
After 7 weeks, he paid $680, this means he's $270 in debt.
The not possible scenario is B because he will be paying at least $85 or more so he will debt $440 or less al week 6.
Smart enough to answer this question? Gracie, Mary, and Nancy each have a small collection of seashells. Gracie has 5 more than 1 1/4 times the number of shells Mary has. Nancy has 1 more than 1 1/2 times the number of shells Mary has. Gracie and Nancy have the same number of shells. If x is the number of shells Mary has, identify the equation that represents this situation and identify its solution. (isnt fraction is one and one fourths, second fraction is 1 and one halfs)
Which of the following is a solution to the system shown below? y = 3x 2 - 8x - 2 and 2x - y = 5
Answer:
(1/3, -13/3)
Step-by-step explanation:
I know this is correct because I got this question right on my quiz. Exact question, word for word. Hope this helps!
An article with a net weight of 10 lb (pounds) is packaged in a box that weighs ½ lb. If 20 of these boxed articles are put into one freight container that weighs 15 lb, what is the gross weight?
Is the sequence geometric? If so, identify the common ratio.
2, -4, -16, -36, ...
A. Yes; -2
B. Yes; 2
C. Yes; -3
D. No
Answer:
No this is not the sequence geometric.
Step-by-step explanation:
Given : 2, -4, -16, -36, ...
To find : Is the sequence geometric? If so, identify the common ratio.
Solution : We have given that 2, -4, -16, -36, ...
In a Geometric Sequence each term is found by multiplying the previous term by a constant.
Geometric Sequence like this:
{a, ar, ar², ar³, ... }
On comparing
2, -4, -16, -36, ...
{ 2 , 2 ×-2, 2×(-2)², 2×(-2)³..
So we get { 2, -4, -8, -16...
Therefore , No this is not the sequence geometric.
Since the quotient between consecutive terms is different, the sequence is not geometric, and the correct option is:
D. No Geometric sequence:In a geometric sequence, the quotient between consecutive terms is always the same, and it is called common ratio.
In this problem, the sequence is: {2, -4, -16, -36, ...}
[tex]-\frac{4}{2} = -2[/tex]
[tex]\frac{-16}{-4} = 4[/tex]
Different quotients, hence not geometric, and option D is correct.
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To determine the number of trout in a lake, a conservationist catches 180 trout, tags them and throws them back into the lake. later, 48 trout are caught; 12 of them are tagged. how many trout would the conservationist expect to be in the lake?
What is the length of each side of a square room if the area is 400 ft²?
3y + 2z = 12 and y – z = 9.
Solve for the variable "a" in this equation. Show work:
c=8πab
The accepted value of a length measurement is 200 cm and the experimental value is 198 cm what is the percent error
The percent error of the given problem is 1% inaccuracy.
How to calculate the percent error?Suppose the actual value and the estimated values after the measurement are obtained. Then we have:
Error = Actual value - Estimated value
We have been given that accepted value of a length measurement is 200 cm and the experimental value is 198 cm.
Actual value = 200
Estimated value = 198
The percent accuracy,
198/200 x 100%
= 99%
Therefore,
Error = Actual value - Estimated value
Percent Inaccuracy: 100 - 99%
= 1% inaccuracy
Hence, the percent error of the given problem is 1% inaccuracy.
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For the points in the table, does pressure vary directly with volume? If so, identify k and write an equation. No, this is not a direct variation. Yes, this is a direct variation with k = . Yes, this is a direct variation with k = 1. Yes, this is a direct variation with k = 3.
Answer:
it is A "No, this is not a direct variation."
Step-by-step explanation:
i jus took the test
Pressure and volume have an inverse relationship, known as Boyle's Law, where if pressure increases, volume decreases and vice-versa. This is represented by the mathematical equation P.V = k, where k is a constant. This is graphically represented as a hyperbola.
Explanation:From the details available, it can be concluded that the relationship between pressure (P) and volume (V) is not a direct variation, but an inverse one. This relationship is also known as Boyle's Law, which states that the product of the pressure and volume for a given amount of gas at a constant temperature remains constant. Mathematically this can be written as P = k·1/V or P.V = k, where k is a constant.
This means that when the pressure increases, volume decreases and vice-versa. If you were to graphically represent this, you would get a hyperbola, not a straight line, which distinguishes it as an inverse relationship rather than a direct one.
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What are the steps for using a compass and straightedge to construct a square? Drag and drop the steps in order from start to finish. Use a straightedge to draw line a and label a point on the line as point P. Without changing the compass width, place the compass point on point S and draw an arc in the interior of ∠SPT . Use the straightedge to draw QS¯¯¯¯¯ and QT¯¯¯¯¯. Construct a line perpendicular to line a through point P. Label a point on this line as point R. With the compass open to the desired side length of the square, place the compass point on point P and draw an arc on line a and an arc on PR←→ . Label the points of intersection as points S and T. Keeping the same compass width, place the compass on point T and draw an arc in the interior of ∠SPT to intersect the previously drawn arc. Label the point of intersection as point Q.
Answer: The steps for using a compass and straightedge to construct a square are as follows :-
1. Use a straightedge to draw line a and label a point on the line as point P.
2. Construct a line perpendicular to line a through point P.
3. Label a point on this line as point R.
4. With the compass open to the desired side length of the square, place the compass point on point P and draw an arc on line a and an arc on PR←→.
5. Label the points of intersection as points S and T.
6. Keeping the same compass width, place the compass on point T and draw an arc in the interior of∠SPT to intersect the previously drawn arc.
7. Label the point of intersection as point Q.
8. Without changing the compass width, place the compass point on point S and draw an arc in the interior of∠SPT .
9. Use the straightedge to draw QS ,QT,SR and RT.
Here we have finished with the square RTQS.
Solve for the variable: 12.9 = x + 7.1 5.8 -5.8 20 -20
The table represents the height of a ball thrown up from the roof of a building, h(t), in meters, t seconds after it is thrown upward.
Answer:
A. The ball is at the same height as the building between 8 and 10 seconds after it is thrown.
C. The ball reaches its maximum height about 4 seconds after it is thrown
Step-by-step explanation:
edg.
given f(x)=x^3 and g(x)=1-5x^2, find (fog) (x) and its domain
Answer:
answer is b
Step-by-step explanation:
A garden table and a bench cost $799 combined. the garden table costs $49 more than the bench. what is the cost of the bench?
The cost of the bench is $ 375
What is an Equation?
Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.
It demonstrates the equality of the relationship between the expressions printed on the left and right sides.
Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.
Given data ,
Let the cost of the bench be = B
Now , the equation will be
Let the cost of the table be = T
Now , the total cost of the table and bench = $ 799
Substituting the values in the equation , we get
B + T = 799 be equation (1)
And , garden table costs $49 more than the bench
So , T = 49 + B be equation (2)
Substituting the value of T from equation (2) in equation (1) , we get
B + 49 + B = 799
2B + 49 = 799
Subtracting 49 on both sides of the equation , we get
2B = 750
Divide by 2 on both sides of the equation , we get
B = $ 375
Therefore , the value of B is $ 375
Hence , The cost of the bench is $ 375
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Please help me this ...
Introduction to addition or subtraction of fractions with different denominator 3/5+1/3
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Please help me
True or false. In order for a disjunction statement to be false, both of its component statements must be false. Explain.
The answer is true. This was just on my quiz and I know its correct.
The sum of 4 times mike's age and 3 times susan's age is 79. mike is 1 year more than 3 times as old as susan. find each of their ages.
Six times a number decreased by ten is eight. Find the number.
A) 2
B) 3
C) 4
D) 5
What is the approximate value of x? Round to the nearest tenth.
A) 3.1 cm
B) 3.9 cm
C) 4.6 cm
D) 5.4 cm
x = 6cm * sin(50) = 4.59
rounded to 4.6
Answer is C
Answer:
option C is correct
The approximate value of x is, 4.6 cm(nearest to tenth)
Step-by-step explanation:
In the given figure; the triangle is right angle triangle:
Label the figure:
then, the triangle XYZ is right angle triangle.
Using trigonometric ratio:
The ratio of the opposite side of a right triangle to the hypotenuse is called the sine. i.e,
[tex]Sine=\frac{opposite}{Hypotenuse}[/tex]
using sine ratio in triangle XYZ:
[tex]\sin 50^{\circ} = \frac{XY}{XZ}[/tex]
Substitute the value of XY = x cm and XZ = 6 cm in above ratio:
[tex]\sin 50^{\circ} = \frac{x}{6}[/tex] or
[tex]0.76604444247801 = \frac{x}{6}[/tex]
Simplify:
[tex]x= 4.59626665[/tex] cm
Therefore, the approximate value of x nearest to tenth is, 4.6 cm
Solve the equation
5x - 5 = 3x - 9
A. 1
B. -2
C. -3
D. -1
A basket contains 13 pieces of fruit: 5 apples, 5 oranges, and 3 bananas. Jonas takes a piece of fruit at random from the basket, and then Beth takes a piece at random. What is the probability that Jonas will get an orange and Beth will get an apple?
What is -2,3 rotated 90 degrees counterclockwise around the origin?
Answer(-3,2)
Step-by-step explanation: