The answer is 120
do 6 times 10 = 60
then 60 x 2 = 120 cubic in
120 cubic in is the volume of the rectangular prism.
What is volume?Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m³), a derived unit, is the SI unit of volume. Volume is another word for capacity.
The volume of a rectangular prism is given by the formula:
V = lwh,
where l is the length, w is the width, and h is the height.
Plugging in the given values, we get:
V = (2 in) x (10 in) x (6 in)
V = 120 cubic in
Therefore, the volume of the rectangular prism is 120 cubic in.
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* Approximate the value of V5 to the nearest hundredth.
Answer:
2.24
Step-by-step explanation:
If you mean sqrt(5), then the answer is 2.236, which rounds to 2.24
I'm going to assume you mean √5.
√5 is not a perfect square but it can evaluated into a non-terminating decimal.
√5 = 2.23606797...
Round to the nearest hundredth.
2.23606797... → 2.24
Therefore, the answer is 2.24
Best of Luck!
A basketball has a circumference of 31.4 inches. Using 3.14 as an approximation for pie, what is the basketball's volume to the nearest cubic inch?
Answer:
0.52 cubic inches
Step-by-step explanation:
Given: circumference of a basketball is 31.4 inches.
[tex]\pi =3.14[/tex]
To find: basketball's volume to the nearest cubic inches
Solution:
circumference of a basketball (sphere) = 6.28(radius)
Also, circumference of a basketball = 31.4 inches.
So, 6.28(radius) = 3.14
radius = [tex]\frac{3.14}{6.28}=\frac{1}{2}[/tex] inch
Volume of the basketball (sphere) = [tex]\frac{4}{3}(\pi )(radius)^3=\frac{4}{3}(3.14)(\frac{1}{2})^3=0.52\,\,cubic\,\,inches[/tex]
Georgette has purchased award plaques for her company's conference. Each plaque costs $7.50, and Georgette paid a one-time shipping fee of $40 for the order. Calculate the total cost for the order based upon the number of plaques purchased.
Answer:
y=7.5x +40
Step-by-step explanation:
Stephanie has 4,500 in her savings account. If it earns 6% interest every month how much money does Stephanie have her bank account after 3 months?
Answer:
5,310
Step-by-step explanation:
6% of 4,500 is 270
270×3 is 810
810+4,500=5,310
Which set of three angles could represent the interior angles of a triangle?
A:199, 709, 910
B:470, 120, 310
C:50°, 20° 20°
D:250, 250, 100%
Answer: B
Step-by-step explanation:
what is the median of the following number: 40, 49, 62, 56, 68, 39, 50, 61, 54, 44
Answer:
52
Step-by-step explanation:
39, 40, 44, 49, 50, 54, 56, 61, 62, 68
39, 40, 44, 49, 50, 54, 56, 61, 62, 68
[tex]\frac{50 + 54}{2}[/tex] = [tex]\frac{104}{2}[/tex] = 52
Answer:
52
Step-by-step explanation:
how many ways can you arrange SONG
Song= sngo, sogn, gnso, gosn, gnos, snog, 6 ways ?
===========================================================
Explanation:
We have four blank slots to fill. Call them slot A,B,C,D. There are 4 letters to pick from when filling slot A. After that selection is made, there are 3 letters left for slot B. This process keeps going til you count down to 1.
Multiplying those values out gives 4*3*2*1 = 24
-----------
Extra info:
This concept is given factorial notation of an exclamation mark, so you'd write 4! = 4*3*2*1 = 24 or simply 4! = 24.
Another example of factorial notation is 7! = 7*6*5*4*3*2*1. We start with 7 and count our way down til we get to 1, multiplying all along the way.
You could also use the nPr permutation formula [tex]_nP_r = \frac{n!}{(n-r)!}[/tex] though that isn't necessary in my opinion since it involves factorials which we already used above. If you use the permutation formula, then you would have n = 4 and r = 4. The n refers to the number of items you are arranging and r = 4 is the number of slots you are filling.
It turns out that [tex]_nP_r = \frac{n!}{(n-r)!} = n![/tex] when r = n.
You can think of it in a smaller chunk. If we fix S to be the first letter, then we have O,N,G to rearrange. There are 6 ways to do this as shown
ONGOGNNOGNGOGONGNOBasically showing that 3! = 6. We have 4 different ways to have the first letter be selected, so we have 4*6 = 24 permutations of SONG.
solve equation for s , -12s -11 = -11s + 4
S=-15
Hope I helped :D
A small bag of pretzels costs $0.99 and contains 4 ounces. A large bag of pretzels costs $2.99 and contains 15 ounces. Which is the better buy?
Answer:
$2.99 is the better buy
Step-by-step explanation:
First, find the unit price for each bag of pretzels. This can be found by the formula: (cost/amount). in this case it is (cost/ ounce)
This means:
0.99 bag for 4 ounces means about 25 cents per oz
2.99 bag for 15 oz means about 20 cents per oz
The lower the unit price, the better the buy.
Each ounce is cheaper with the 2.99 bag, therefore it is the better choice.
Explain which is the better value for money
a) 250g of spread at $1.85, or
B) 500g of spread at $3.10, or
C) 1 kg of spread at $5.90,
Answer:
The answer is C.
Step-by-step explanation:
To start off 250g is $1.85 and we want to get to 500g so if we add $1.85 with $1.85 we will get $3.70. This amount is more than the number if we bought just 500g once than if we bought 250g twice, because if we did, we would be paying more. But that's not all, if we add 500g with 500g we will get $6.20. That's more than the original price for 1 kg and if we multiply 250g 4 times than we get 7.4. So in all we would buy 1 kg.
Kristen made sails for a model boat. She cut along the diagonal of a rectangular piece of cloth to make two sails, shown.
A) 2 1/3 ft
B) 2 7/12 ft
C) 4 2/3 ft
D) 9 1/3 ft
Answer:
2 1/3 ft^2
Step-by-step explanation:
Take the area of the rectangle
A = l *w
4 * 1 1/6
4 * 7/6
28/6
Divide this in half since the rectangle is cut in half by using the diagonal
28/6 *1/2
28/12
7/3
Changing to a mixed number
2 1/3
Measure of angle r is 22. Find the measure of angle 0
A cylinder and it’s dimensions are diameter 8.4cm and height 10.9cm. Which measurement is closest to the lateral surface area of the cylinder in square centimeters
Answer:
287.64
Step-by-step explanation:
2πrh is the formula you use for the lateral surface area.
to get radius, we know its half of the diameter so 4.2.
plug them in and you get your answer :)
What is the value of r in the equation?
Negative 1.5 (4 minus r) = negative 12
–6
–4
4
6
Answer:
The answer is -4
Step-by-step explanation:
that would be because that is the answer
the correct answer is B.) -4
simple math
Sam is in charge of setting up rooms for parties at a hotel. On Saturday, there are two parties, one with 496 people and one with 784 people. Each table seats 8 people. How many total tables does he need for the two parties?
Answer:
160
Step-by-step explanation:
add the numbers together then divide by 8
Consider this right triangle with the given measures.
A triangle has side lengths 5 inches and 12 inches. The hypotenuse is unknown.
What is the length of the hypotenuse?
1. 52 + 122 =c2
2. 25 + 144 =c2
3. 169=c2
c=
Answer:
c=13
Step-by-step explanation:
You then square root both sides of the equation and the square root of 169 is 13.
Hope this helps! :)
Answer:
c is 13
Step-by-step explanation:
trust me bro
Which statements are true about surface area and volume? Check all that apply. Volume is labeled with cubic units. Surface area is labeled with cubic units. Volume of a prism is the product of the area of the base and height. Surface area is the sum of the areas of each side. The volume of a prism is One-third the volume of a pyramid.
We will review each option and see that it corresponds:
-Volume is labeled with cubic units.
True, the units of volume are cubic, since it is distance to the cube.
-Surface area is labeled with cubic units.
False, the units of the area are square, since it is distance squared
-Volume of a prism is the product of the area of the base and height.
True, depending on the base, the volume of the prism is determined, therefore it would be the area of the base by the height.
-Surface area is the sum of the areas of each side.
True, the surface area corresponds to the sum of the lateral areas and the area of the base, that is, the area of each side.
-The volume of a prism is One-third the volume of a pyramid.
False, on the contrary, the volume of a pyramid is one third of the volume of a prism
Answer:
A
C
D
Step-by-step explanation:
Hope you guys have a good day!
One of these pics are proof and the other is to just make you smile :)
Please help! Very confused
Answer:
a
Step-by-step explanation:
Eric created a rectangular patio 1 ft.² paving stones which are sold in batches by a dozen the patio measures 7‘ x 8‘ how many batches of Pavingstone did Eric need
Answer:
The number of batches of paving stones Eric needs is 5 batches
Step-by-step explanation:
Here we have the size of of one paving stone = 1 ft²
The dimensions, size, of one patio = 7 ft × 8 ft = 56 ft²
Therefore, the number of paving stones Eric needs per patio is given by the relation;
[tex]Number\, of\ paving\ stones \ required =\frac{size\, of \, one\, patio}{size \, of \, one\, paving\, stone} = \frac{56 \, ft^2}{1 ft^2/(paving \, stone)} = 56 \, paving \, stones[/tex]
Since the paving stones are sold in batches of one dozen, we have ;
4 batches = 48 paving stones and 5 batches = 60 paving stones
Therefore, the number of batches of paving stones Eric needs = 5 batches.
a) As a student, you are able to earn extra money by assisting your neighbors with odd jobs. If you
charged $10.25 an hour for your assistance, about how many hours would you need to work to
earn $8,425? Show your work. (5 points)
Answer:
About 822 hours.
Step-by-step explanation:
If you get $10.25 per hour of work, and are trying to figure out X hours to reach $8,425, you just divide the total goal by your hourly rate to find hte number of hours you need to work. All work is attached in the picture.
What is the value of z?
A.95
B.126
C.77
D.154
Answer:
B. 126
Step-by-step explanation:
85*2=170
170+64+x=360
234+x=360
x=126
I need some help with this.
Answer:
Sin A = 4/5
Step-by-step explanation:
sin theta = opposite / hypotenuse
sin A = 40/50
Sin A = 4/5
Answer:
0.8
Step-by-step explanation:
SinA = opposite/hypotenuse
= CB/CA
= 40/50
= 4/5
= 0.8
Grocery store polls every 20th custom to determine if they are satisfied with the cleanliness of the store. 40 customers are surveyed and 26 or satisfied. What conclusion can be drawn for the 800 daily customers
Answer: Of the 800 customers, 520 would be satisfied with the cleanliness of the store
Step-by-step explanation:
Here is the complete question:
A grocery store polls every twentieth customer to determine if they are satisfied with the cleanliness of the store. Forty customers are surveyed and 26 are satisfied. What conclusion can be drawn for the 800 daily customers?
A. 65% of the customers are unsatisfied with the cleanliness of the store.
B. Of the 800 customers, 520 would be satisfied with the cleanliness of the store
C. 40% of the customers are satisfied with the cleanliness of the store
We are informed that out of 40 customers that are surveyed, 26 are satisfied with the cleanliness of the store. This means that (26/40) = 13/20 = 65% are satisfied with the store.
If 800 customers are surveyed, this will mean that: 65% of 800.
= 65/100 × 800
= 65 × 8
= 520 will be satisfied.
Each of the letters in the word MONASTIC are on separate cards face down on the table. If you pick a card at random, what is the probability that the letter on it will be "A"?
show work pls and thanks!!
Answer:
1/8
Step-by-step explanation:
There is 8 letters to pick from. There is only one A. SO the probability would be 1/8.
Answer:
The answer is 1/8
Step-by-step explanation:
In the word MONASTIC there are 8 letters, and only 1 is an A which means that the chances of drawing that A is 1/ 8
You're playing a game where you defend your village from an orc invasion. There are 3 characters (elf, hobbit, or human) and 555 defense tools (magic, sword, shield, slingshot, or umbrella) to pick from.
If you randomly choose your character and tool, what is the probability that you won't be a hobbit or use an umbrella?
Answer:
There is a 1/3 chance of getting a hobbit, and a 0.1/11 chance of getting an umbrella.
A spinner has 5 equal sections labeled 1 through 5. The bar graph shows the results of spinning the spinner 100 times. Which statement is true about not spinning a 1?
Answer:
The experimental probability is less than the theoretical probability.
Step-by-step explanation:
The probability of not spinning a 1 is the complement is 0.8.
What is probability?It is the chance of an event to occur from a total number of outcomes.
The formula for probability is given as:
Probability = Number of required events / Total number of outcomes.
Example:
The probability of getting a head in tossing a coin.
P(H) = 1/2
We have,
The theoretical probability of not spinning a 1 is 4/5 or 0.8.
This is because there are 4 sections labeled 2 through 5 that are not labeled 1, out of a total of 5 sections.
The probability of spinning a 1 is 1/5 or 0.2.
So the probability of not spinning a 1 is the complement of that, which is 4/5 or 0.8.
or
= 1 - 1/5
= 4/5
= 0.8
Thus,
The probability of not spinning a 1 is the complement is 0.8.
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The feeder in the Example had 16 fl oz of food in it to start. How much food does it
have now? Show your work.
Amount of food in feeder at end is (16 - a) fl oz
Given that;
Amount of food in feeder in starting = 16 fl oz
Find:
Amount of food in feeder at end
Computation:
Assume;
a fl oz eats by animals
So,
Amount of food in feeder at end = 16 - a
Amount of food in feeder at end = (16 - a) fl oz
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a boy is standing 180 metres from the base of a tree. the angle of elevation to the top of the tree is 40°. what is the height of the tree?
Answer:
151
Step-by-step explanation:
tan 40° = x/180
tan 40°*180 = x
0.8391*180 = 151
height = 151m
Determine the slope and y-intercept. 4x + y = -10
Answer:
slope = -4
y-intercept = -10
Step-by-step explanation:
First, isolate the y. Note the equal sign, what you do to one side, you do to the other. Subtract 4x from both sides:
4x + y = -10
4x (-4x) + y = -10 (-4x)
y = -4x - 10
Note the slope intercept form: y = mx + b
y = y
m = slope = -4
x = x
b = y-intercept = -10
Answer:
slope m=-4
y intercepts (0,-10)
Step-by-step explanation:
Can someone please help me? I keep losing points...
CORRECT ANSWERS ONLY PLEASE!!!!
Use the formula i = prt, where i is the interest earned, p is the principal (starting amount), r is the interest rate expressed as a decimal, and t is the time in years.
Answer:
$93,996
Step-by-step explanation:
i = prt
i = ($53,712)(.15)(5)
i = $40, 284
$40, 284 + $53,712
$93,996
Answer:
$92996
Step-by-step explanation:
Using the given formula :
I = P × R × T
I = 53712 × 15/100 × 5
I = $40284
He has = 40284 + 53712 = $93996
