A box has dimensions of 19 inches long, 1.7 feet wide, and 6 inches high. What is the volume of the box? The formula for the volume is V = l ⋅ w ⋅ h.

193.8 cubic inches (in3)
2325.6 cubic inches (in3)
1.35 cubic inches (in3)
16.15 cubic inches (in3)

Answers

Answer 1
We have to convert feet to inches:
1 foot = 12 inches
1.7 feet = 1.7 * 12 = 20.4 in
The formula for the volume is:
V = l * w * h
and:  l = 19 in, w = 20.4 in,  h = 6 in.
V =  19 in * 20.4 in * 6 in = 2,325.6 in³
Answer: B ) 2,325.6 in³

Related Questions

Jose made 33 of the 88 baskets for basketball team.What percent did he no make?

Answers

It is 62.5% miss rate.

What is an equation that equals 58 explain!

Answers

equation? like any equation?    That could be any like x+y=58 or 4x+5y=58 or any...........

Some equations that equal 58 include: 58x, 29 + 29, and y + 58x.

For example, 58x is equal to 58 because you can change x to 1, and 58 times 1 is 58. Therefore, it is equal to 58.

Let me know if this was helpful and remember to brainliest!

the height of a ball thrown directly up with a velocity of 40 feet per second from a initial height of 5 ft is given by the equation h(t)=-16t2+40t+5, where t is the time in seconds and h is the balls height, measured in feat. when will the ball hit the ground?

Answers

The equation is h=-16t²+40t+5.The ball will hit the ground when h=0. So:
0=-16t²+40t+5
16t²-40t-5=0
Using the quadratic formula, we get a positive value for t of 2.61930639376 seconds.
☺☺☺☺

Waylon played defense in 12 soccer games. This was 60% of the total number of games he played. How many games did Waylon play?

Answers

Assume he played x games in total.

So x * 60% = 12

->x = 12 / 60% = 20
g(60/100)=12

60g=1200

g=1200/60

g=20 games

An architectural drawing lists the scale as 1/4" = 1'. If a bedroom measures 1.5" by 2.25" on the drawing, how large is the bedroom?

Answers

Final answer:

The scale of the architectural drawing is such that 1/4" represents 1'. This means, if the room measures 1.5" by 2.25" on the drawing, it measures 6 feet by 9 feet in real life.

Explanation:

In this scenario, the unit scale indicates that 1/4" on the drawing represents 1' in real life. So, to find the real-life dimensions of the room, you would need to convert the drawing dimensions to real-life dimensions.

For the length, 1.5" on the drawing would equate to 1.5 * 4 feet because every 1/4" equals 1 foot. Therefore, the length of the room is 6 feet.

The width of the room is similarly calculated. 2.25" on the drawing would equate to 2.25 * 4 feet which gives us a width of 9 feet.

So, the bedroom in real life is 6 feet by 9 feet.

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Final answer:

The bedroom is 6 feet by 9 feet in real life.

Explanation:

To determine the actual size of the bedroom, we can use the scale given in the architectural drawing. The scale 1/4" = 1' means that every 1/4 inch on the drawing represents 1 foot in real life. In this case, the bedroom measures 1.5 inches by 2.25 inches on the drawing. To find the actual size, we can multiply these dimensions by the scale factor: 1.5 inches * (1 foot / 1/4 inch) = 6 feet, and 2.25 inches * (1 foot / 1/4 inch) = 9 feet. Therefore, the bedroom is 6 feet by 9 feet in real life.

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which of the following best explains why cos 2pi/3 is not equal to cos 5pi/3
A.The angles do not have the same reference angle.
B.Cosine is negative in the second quadrant and positive in the fourth quadrant.
C.Cosine is positive in the second quadrant and negative in the fourth quadrant.
D.The angles do not have the same reference angle or the same sign.

Answers

In this exercise we have to use the knowledge of cosine quadrants, like this:

Letter B

We have that the quadrant of the cosine is given by:

The two quadrants on the right are positive.The two quadrants on the left are negative.

So we know that:

[tex]cos (2\pi/3)[/tex] If it's in quadrant three, that's negative.

[tex]cos(5\pi/3)[/tex] If you're in quadrant four, that's positive.

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The correct answer is option B. Cosine is negative in the second quadrant and positive in the fourth quadrant.

To determine why [tex]cos(\frac{2\pi }{3})[/tex] is not equal to [tex]cos(\frac{5\pi }{3})[/tex], we can analyze the properties of cosine in different quadrants.

Reference Angles: The reference angle for both [tex]\frac{2\pi }{3}[/tex] and [tex]\frac{5\pi }{3}[/tex] is [tex]\frac{\pi }{3}[/tex].Quadrants: [tex]\frac{2\pi }{3}[/tex] is in the second quadrant, while [tex]\frac{5\pi }{3}[/tex] is in the fourth quadrant.Sign of Cosine: In the second quadrant, cosine is negative. In the fourth quadrant, cosine is positive.

Thus, because cosine is negative in the second quadrant and positive in the fourth quadrant, [tex]cos(\frac{2\pi }{3})[/tex] is not equal to [tex]cos(\frac{5\pi }{3})[/tex]. Therefore, the best explanation is: Cosine is negative in the second quadrant and positive in the fourth quadrant.

19. if a vechicle was purchased for $32345. there's a 6% sales tax on automobile sales, how much tax will be added to the price of the car

Answers

the answer is 1,940 and 7 cents 

If a 12-student class averaged 90 on a test, and a 20-student class averaged 80 on the test, then all 32 students averaged

Answers

let the marks of the students in class 1 be

[tex]m_1, m_2, ....., m_1_2[/tex]

the average of these 12 marks is 90, so 

[tex]\frac{m_1+ m_2+ .....+ m_1_2}{12}=90 [/tex]

which means

[tex]m_1+ m_2+ .....+ m_1_2=90*12=1080[/tex]


similarly, let [tex]n_1, n_2, ....., n_2_0[/tex] be the marks of the students in the second class, 

so [tex] \frac{n_1+ n_2+ ..... n_2_0}{20}=80 [/tex]

which means [tex]n_1+ n_2+ ..... n_2_0=80*20=1600[/tex]


The 32 students averaged:

[tex] \frac{(m_1+ m_2+ .....+ m_1_2)+(n_1+ n_2+ ..... n_2_0)}{12+20}= \frac{1080+1600}{32}= \frac{2680}{32}= 83.75[/tex]
The formula to find the average of a data is given as follow
Mean = The sum of the data value ÷ Number of data

We would need the sum of 32 values to work out the mean score of 32 students. We will work out separately by finding the sum of scores of 12 students and sum of scores of 20 students

90 = Sum of data ÷ 12
Sum of data = 90×12 = 1080 scores

80 = Sum of data ÷ 20
Sum of data = 80×20 = 1600 scores

The sum of data of 32 students is 1080+1600 = 2680 scores
Mean = 2680÷32 = 83.75 

A barrel shaped like a cylinder is laid on its side and rolled up a ramp that is 92m long. The barrel has a circular base that turns 46 times in being rolled up the ramp. What is the diameter of the circular base?

Answers

92/46ths of a meter or 2 meters

Quadrilateral ABCD is a rhombus. Suppose measure of angle A decreases. Which of the following changes would also need to happen in order for ABCD to still be a rhombus?

Answers

Final answer:

If angle A of a rhombus decreases, angle C must also decrease and the side length of the rhombus must remain the same for it to still be a rhombus.

Explanation:

When angle A of a rhombus decreases, there are two changes that need to happen in order for the rhombus to still be a rhombus.

The opposite angle, angle C, must also decrease by the same amount in order to maintain the opposite angles of a rhombus being equal. The side length of the rhombus must remain the same, as all sides of a rhombus are congruent.

Therefore, if angle A decreases, angle C must also decrease by the same amount, and the side length of the rhombus must remain the same in order for ABCD to still be a rhombus.

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Reflection across the x-asis?

Answers

so you would reflect it across the x axis (the one that goes left and right). The points would have new coordinates, but it should make the same shape...hope this helps!

write a real-world problem in which you would need to find the number of units between -6 and 0 on a number line.

Answers

Sam started with 0 dollars in his bank account. He charged his debit card for a sandwich that costs $6.00. If this was written on a number line. How many units would Sam to go to get back to where he started?

The precise measurement of distance between Junction A at -6 and Junction B at 0 is indispensable in urban planning, optimizing traffic flow, and ultimately enhancing the quality of life for city residents.

One real-world problem where finding the number of units between -6 and 0 on a number line is crucial is in urban planning and transportation engineering.

Imagine a city with two major traffic junctions, Junction A at position -6 and Junction B at position 0 on the number line. City officials need to optimize traffic flow between these junctions to reduce congestion and commute times.

To achieve this, engineers must calculate the exact distance between these junctions. This information is vital for designing efficient road networks, determining signal timings, and planning for public transportation routes. It also helps in estimating travel times for commuters and enables the implementation of traffic management strategies.

Accurate measurements between -6 and 0 on the number line ensure that resources are allocated efficiently, minimizing environmental impact, fuel consumption, and overall transportation costs.

This problem highlights how fundamental mathematical concepts like distance on a number line play a critical role in shaping the urban landscape and improving quality of life for city residents.

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Consider the equation 22+3x/3x+7=2 How do you begin isolating the variable x to one side of the equation?

Answers

You have 22+3x/3x+7=2. That 3x/3x raises eyebrows; is this what you meant, with the result that 3x/3x = 1? or did you mean

3x

22 + ------------- + 7 = 2?

3x+7

If you meant the latter, then simplify the equation by subtracting 2 from both sides:

3x

27 + ---------- = 0

3x+7

Multiply all three terms by (3x+7), obtaining

27(3x+7) + 3x = 0

Then 21x + 3x + 189 = 0, so that 24x = -189, or x = -189/24 = -7 7/8

help please thank you

Answers

To multiply by 6/7, we multiply by 6 and divide by 7. 1 +3/4= (1*4)/4+3/4
= 4/4+3/4=7/4.  (7/4)*6=42/4. to divide by 7, we multiply 7 to the denominator to get 42/28, simplifying it to 3/2 or 1+1/2 tons

10 times the sum of half a number and 6 is 8

Answers

x=1 cause 10•1/2x+6=8 so we first use one and then the rest will be answered

If angle DAB measures 34 degrees, what is the measure of arc DB

Answers

Arc DB will also measure 34 degrees.

Which expression is the result of the perimeter of rectangle b minus the perimeter of rectangle a

Answers

Retangle B perimeter = 2(3x+5) + 2(2x-2)
                                      6x + 10 + 4x - 4
                                      10x + 6

Retangle A perimeter = 2(2x+8) + 2(x-1)
                                      4x + 16 + 2x - 2
                                      6x + 14


(10x + 6) - (6x + 14) =
10x + 6 - 6x - 14 =
4x - 8    ←  answer

Write an equation of the line that has a slope of 5 and y-intercepts 3 in slope-intercept form.

Answers

The slope intercept form of a line is:

y=mx+b, where m=slope and b=y-intercept

We are told that m=5 and b=3 so

y=5x+3

Determine the equation of the line through (-1,2) and perpendicular to the line 2x-3y+5=0

Answers

2x - 3y + 5 = 0
2x + 5 = 3y
2/3x + 5/3 = y...slope here is 2/3. A perpendicular line will have a negative reciprocal slope. All that means is " flip " the slope and change the sign. So our perpendicular line will have a slope of -3/2.

y = mx + b
slope(m) = -3/2
(-1,2)...x = -1 and y = 2
sub and find b, the y int
2 = -3/2(-1) + b
2 = 3/2 + b
2 - 3/2 = b
4/2 - 3/2 = b
1/2 = b

so ur perpendicular equation is : y = -3/2x + 1/2 or 3x + 2y = 1 or 3x + 2y - 1 = 0

ABC is a right triangle in which B is a right angle, AB= 1, AC=2 and BC= square root of 3. Cos C x sin A=

Answers

[tex]cosC= sinA=\frac{BC}{AC}= \frac{ \sqrt{3} }{2} \\ \\ cosC*sinA=\left(\frac{ \sqrt{3} }{2}\right)^2= \frac{3}{4}=0.75 \\ [/tex]

Applying the cosine and sine ratios, the value of cos C × sin A = 3/4.

What is the Cosine and Sine Ratios?

Cosine ratio: cos ∅ = adj/hyp

Sine ratio: sin ∅ = opp/hyp.

Find cos C using the cosine ratio:

cos C = √3/2

Find sin A using the sine ratio:

sin A = √3/2

cos C × sin A = √3/2 × √3/2

= 3/4

cos C × sin A = 3/4

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A ball is dropped from a height of 5 ft and bounces to 60% of its previous height on each subsequent bounce. Which statement is true regarding the vertical distance the ball has traveled when it hits the ground for the fourth time?

A) 10.88 ft vertical distance traveled total
B) 16.76 ft vertical distance traveled total
C) 18.06 ft vertical distance traveled total
D) 21.76 ft vertical distance traveled total

Answers

Answer:

the answer is 16.76 ft option B

Step-by-step explanation:

The vertical distance the ball has traveled when it hits the ground for the fourth time is 16.76m.

What is the percentage?

The Percentage is the value per hundred.

Distance traveled by the ball when it hits the ground first time =5m

After the first hit, it bounces to 60% of its previous height

60% of 5m =3m

This means ball goes 3m up and then 3m down before hitting for the second time.

So, the vertical distance traveled by the ball till the second hit=5+3+3 =11m

After the second hit, it bounces to 60% of its previous height

60% of 3m =1.8m

This means ball goes 1.8m up and then 1.8m down before hitting for the third time.

So, the vertical distance traveled by the ball till the third hit=11+1.8+1.8 = 14.6m

After the third hit, it bounces to 60% of its previous height

60% of 1.8m =1.08m

This means ball goes 1.08m up and then 1.08m down.

So, the vertical distance traveled by the ball till the fourth hit=14.6+1.08+1.08 = 16.76m

Hence, the vertical distance the ball has traveled when it hits the ground for the fourth time is 16.76m.

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Need help asap with number 4

Answers

- What's being done to the problem ?

Raul has $640 saved, and jaime has $320 saved. They each begin a new job on the same day and save all of their money. Raul earns $180 per day and jaime earns $200 per day. In how many days will they have an equal amount of money

Answers

Hi there , solution is in the figure attached with...hope it helps u

In 16 days will they have an equal amount of money.

What is Algebra?

A branch of mathematics known as algebra deals with symbols and the mathematical operations performed on them.

Variables are the name given to these symbols because they lack set values.

In order to determine the values, these symbols are also subjected to various addition, subtraction, multiplication, and division arithmetic operations.

Given:

Raul has $640 saved, and jaime has $320 saved.

Raul earns $180 per day and jaime earns $200 per day.

let the be number of days they both have same amount

640 + 180x = 320 + 200x

320 = 20x

x= 16

Hence, 16 days will they have an equal amount of money.

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Three less than the sum of four times a number and six is eight. Find the number.

Answers

4x + 6 - 3 = 8
4x + 3 = 8
4x = 8 - 3
4x = 5
x = 5/4 <==
Its is x= 5/4 I hope this helped :)

Tanisha opened a bank account. She deposited $74.50 into her account every month for 10 months. She used $32.50 every month to pay for painting classes. After 10 months, she used 1 over 2 of the total money left in her account to go to a summer camp for painters. What is the total amount of money Tanisha spent to go to the summer camp?

Answers

She uses $210 because 74.50 x 10 = 745 and 32.50 x 10 = 325. Subtract the money she takes out every month on classes from the amount she puts in, 745 - 325 = 420. Then you would divide 420 by 2 because half of 420 is what she uses on the camp

Answer:

A

Step-by-step explanation:

IS THE SQUARE ROUTE OF 7 OR 14/5 BIGGER

Answers

root4 < root7 < root9
2 < root7 < 3
14/5 = 2.8
root7 is an irrational number which is likely less than 2.8

Which statement is true for the equation 3x − 3x − 2 = −2?

It has no solution.
It has one solution.
It has two solutions.
It has infinitely many solutions.

Answers

Hey. This equation has infinite many solutions.
3x - 3x - 2 = - 2
3x - 3x = 0
3x = 3x
This equals to each other meaning infinite solutions

The equation will have infinitely many solutions.

What is an equation?

It is defined as the relation between two variables, if we plot the graph of the linear equation we will get a straight line.

This equation has infinitely many solutions.

3x - 3x - 2 = - 2

3x - 3x = 0

3x = 3x

This equals each other meaning infinite solutions.

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Help me (once again!)

Answers

//I will only be using < instead of less than or equal to for this, as its quicker.
Move all over to LHS to have only one side of an inequality with "x".
3x^2 - 4x - ((6x^2 - 3x + 5)/10) < 0.
30x^2 - 40x - 6x^2 + 3x - 5 < 0
24x^2 - 37x -5< 0

So x is between -0.125 and 1.666...
The only integer solutions are 0 and 1, therefore there are 2 solutions.

The top base of a trapezoid is 18 inches and the bottom base is 22 inches. The height of the trapezoid is 8.5 inches. What is the area of the trapezoid

Answers

Final answer:

The area of the trapezoid with top base 18 inches, bottom base 22 inches, and height 8.5 inches is calculated using the formula (1/2) × (base1 + base2) × height, resulting in an area of 170 square inches.

Explanation:

To calculate the area of the trapezoid, you can use the formula for the area of a trapezoid, which is A = (1/2) × (base1 + base2) × height. In this case, the top base (base1) is 18 inches, the bottom base (base2) is 22 inches, and the height is 8.5 inches.

Using the formula, we get:

A = (1/2) × (18 inches + 22 inches) × 8.5 inches

A = (1/2) × 40 inches × 8.5 inches

A = 20 inches × 8.5 inches

A = 170 square inches

So, the area of the trapezoid is 170 square inches.

If a Rubik’s Cube has a volume of 384 cubic centimeters, how long is one side of the cube?

Answers

The answer is:  "7.268 cm" .
________________________
Explanation:
________________________
Since the formula for the volume, "V", of a cube, is:

V = s³ ;

in which:  "s" = side length of a cube;

Given:  "V = 384 cm³ " ;  Plug this value into the formula; to solve for "s" ;

V = s³ ;

↔  s³ = V ; 

     s³ = V ; 

     s³ = 384 cm³ ;

Take the "cubic root" of EACH SIDE of the equation; to isolate "s" on one side of the equation ; & to solve for "s" ; 
_________________________________________________
   ∛(s³) = ∛ (384 cm³) ;

     s =   7.2684823713285586  cm

Round to:  7.268 cm .
__________________________________________________
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