Final answer:
The edge length of a cube with a volume of 1/27 cubic units is 1/3 unit, as it's the cube root of the volume.
Explanation:
To find the edge length of a cube when the volume is 1/27:
Volume is equal to edge length to the third power.
Convert meters into centimeters.
Calculate the density by dividing mass by volume.
The question is to find the edge length of the cube if the volume is 1/27 cubic units. To find the edge length, we need to take the cube root of the volume, because the volume of a cube is equal to the cube of one of its edges (V = L3, where V is the volume and L is the edge length). Since the volume is 1/27, the edge length would be the cube root of 1/27, which is 1/3. Therefore, the edge length of the cube is 1/3 unit.
Solve each equation. Factor and use the zero product property to solve. Show all work algebraically.
The equivalent of 6/11 is a repeating decimal.How many digits are in the repeating decimal?
A basketball has a circumference of 29.5 inches. Using 3.14 what is the basketballs volume to the nearest cubic inch?
Jason has two bags with 6 tiles each. The tiles in each bag are shown below: Make 6 squares. The squares are numbered sequentially from 1 to 6. Without looking, Jason draws a tile from the first bag and then a tile from the second bag. What is the probability of Jason drawing the tile numbered 2 from the first bag and the tile numbered 3 from the second bag?
The answer would be 1/12 or 2/12 im not sure.
The correct answer is [tex]\frac{1}{36}[/tex]
To solve this problem, we need to find the probability of drawing the tile numbered 2 from the first bag and the tile numbered 3 from the second bag.
Given:
- Bag 1 contains tiles numbered 1, 2, 3, 4, 5, 6.
- Bag 2 contains tiles numbered 1, 2, 3, 4, 5, 6.
- The desired outcome is drawing tile 2 from Bag 1 and tile 3 from Bag
Step 1: Find the total number of possible outcomes.
Total number of outcomes = Number of tiles in Bag 1 × Number of tiles in Bag 2
Total number of outcomes = 6 × 6 = 36
Step 2: Find the number of favorable outcomes.
Number of favorable outcomes = 1 (drawing tile 2 from Bag 1 and tile 3 from Bag 2)
Step 3: Calculate the probability of the desired outcome.
Probability = Number of favorable outcomes / Total number of outcomes
Probability =[tex]\frac{1}{36}[/tex]
A bicycle manufacturer is reducing the number of spokes on each bicycle wheel by 4. A wheel on one of the company's new cross-country bikes has 32 spokes. Which equations could be used to determine the number of spokes s that a wheel on a cross-country bike used to have? A. S + 32 = 4 B. S + 4 = 32 C. S - 32 = 4 D. S - 4 = 32
A cathedral has a large,circular stained glass window. A visitor measures the window and calculates that it has a circumference of 12.56 yards. What is the windows area
The area of the stained glass window is approximately 12.56 square yards. We obtained this by first calculating the radius (2 yards) using the given circumference, then substituting the radius into the formula for the area (πr²).
Explanation:The area of a circle can be found using the formula A = πr². where A represents the area, r is the radius, and π is a mathematical constant approximately equal to 3.14. First, we should find the radius of the window. The circumference of a circle is given by the formula C = 2πr. If the circumference is known to be 12.56 yards, we can solve for the radius as follows:
Setting the two formulas equal to each other, we get 12.56 = 2πrDividing both sides by 2π, we get r = 12.56/2π = 2 yards.Next, we substitute the radius into the area formula: A = π(2)² = 4π = 12.56 square yards.
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I think it’s b but I’m not sure... please show work I need help ASAP
Assessment items On a piece of paper, use a protractor and a ruler to construct △ABC with AB=6 cm , m∠A=80° , and m∠B=50° . What is AC ?
A) 3 cm
B) 6 cm
C) 9 cm
D) 12 cm
Solve the equation and show all work please show steps!!
2n-3=9
rewrite using scientific notation 0.058
Please answer all
WILL GIVE BRAINLIEST!
if a cone-shaped hole is 3 feet deep and the circumference of the base of the hole is 44 ft, what is the volume of the hole? use 22/7 for pi
Final answer:
To find the volume of a cone-shaped hole with a depth of 3 feet and a base circumference of 44 ft, calculate the radius using the circumference formula, then plug the radius and height into the volume formula to get 154 cubic feet.
Explanation:
The volume of a cone-shaped hole can be calculated using the formula V = (1/3) × π × r² × h, where r is the radius of the base and h is the height of the cone. In this case, the circumference of the base, 44 ft, can be used to find the radius. Given that the radius is 14 ft, and the height is 3 ft, you can substitute these values into the formula to find the volume of the hole.
Calculate the radius: Circumference = 2πr, so r = Circumference / 2π = 44 / 2π = 7 ft.
Calculate the volume: V = (1/3) × 22/7 × 7² × 3 = 154 ft³.
Find point B on the graph. In which quadrant does the point lie
Light travels at a speed of about 186,000 miles per second. How far does light travel in 5 seconds? Use repeated addition to solve.
Final answer:
Light travels at a speed of 186,000 miles per second. Using repeated addition, we find that in 5 seconds, light travels a total of 930,000 miles.
Explanation:
To calculate how far light travels in 5 seconds, we can use repeated addition. Light travels at a speed of about 186,000 miles per second. If we add this number for each second, five times, we can find the total distance light travels in 5 seconds.
Let's perform the repeated addition:
After 1 second, light has traveled 186,000 miles.
After 2 seconds, light has traveled 186,000 miles + 186,000 miles = 372,000 miles.
After 3 seconds, light has traveled 372,000 miles + 186,000 miles = 558,000 miles.
After 4 seconds, light has traveled 558,000 miles + 186,000 miles = 744,000 miles.
After 5 seconds, light has traveled 744,000 miles + 186,000 miles = 930,000 miles.
Therefore, light travels 930,000 miles in 5 seconds.
Please answer! Show your work or give an explanation! Thank you!
Last year, there were 80 students in the orchestra. This year there are 100 students in the orchestra. Determine the percent of increase in the number of students taking orchestra from last year to this year.
A 25%, because 100-80/80= 25%
B 20%, because 100-80/100= 20%
C 80%, because 80/100= 80%
D 125%, because 100/80= 125%
v(j+y)=61y+82
please solve!!!!
need help
The celski's wants to drive the 288 miles to a campground in 6 hours. what should their average speed be in miles per hour
what is the tangent of 33.0?
a taxi service charges an initial fee plus $1.80 per mile. how far can you travel for $12
To travel for $12 in a taxi service with an initial fee plus $1.80 per mile, you can travel up to 3 miles.
Explanation:To determine how far you can travel for $12, you need to consider the initial fee charged by the taxi service and the cost per mile. Let's assume the initial fee is $5. Therefore, you have $12 - $5 = $7 left to spend on miles. Since the cost per mile is $1.80, you can travel $7/$1.80 = 3.89 miles. However, since you cannot travel a fraction of a mile, you can travel up to 3 miles for $12.
What is the approximate volume of a basketball with the circumference of 42ft ?
It is given that y varies directly as x. If y = 5 when x = 4 determine the constant of variation.
A) -4/5
B) 4
C) 5
D) 5/4
Jade buys a blouse and a skirt for 34 of their original price. Jade pays a total of $31.50 for the two items. If the original price of the blouse is $18, what is the original price of the skirt? Enter your answer in the box.
9/3 write the fraction as a whole number
five criterion team bikes cost $ 11,300. How much would the club have to pay for a dozen criterion team bikes?
The cost for one Criterion team bike is $2,260, calculated by dividing $11,300 by 5. Therefore, for a dozen bikes, which amounts to 12, the club would have to pay a total of $27,120.
The question involves a simple ratio or unit price problem and can be solved using basic multiplication. If five Criterion team bikes cost $11,300, to find the cost of one bike, divide the total cost by the number of bikes: $11,300 / 5 = $2,260 per bike. Then, to find the cost for a dozen (12) bikes, multiply the cost of one bike by 12: $2,260 x 12 = $27,120. Therefore, the club would have to pay $27,120 for a dozen Criterion team bikes.
Please help with these I need to pass
In which quadrant of the coordinate graph does point F lie? Quadrant I Quadrant II Quadrant III Quadrant IV
The quadrant of the coordinate graph does point F lie in quadrant IV.
What is Quadrant in Graph?The coordinate system's two axes, the x-axis and the y-axis, constitute a region called a quadrant.
The quadrants are generated when the two axes, the x-axis and the y-axis, cross at a 90-degree angle. These areas include coordinates, or positive and negative values of the x- and y-axes.
The sign notations for four Quadrants is as follows:
Quadrant I :
both x and y positive.
Quadrant II :
x negative and y positive
Quadrant III:
x and y both negative.
Quadrant IV:
x positive and y negative.
As, the point F has coordinates (1,-5) which shows x is positive and y is negative.
So, point F is in quadrant IV.
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1.7w< 6.8
What is the value of w that makes this inequality true?
Show work and be clear!
about how many suvs were sold in 2009
What is the greatest common factor of 15 and 45? Explain your answer.