Answers
Answer:
[tex]\boxed{\sf volume = 320 \ ft^3}[/tex]
Explanation:
Volume of triangular prism = 1/2 × Base × Height × Length
Identify the following:
Base: 6 2/3 ftHeight: 8 ftLength: 12 ftFind Volume:
1/2 × 6 2/3 × 8 × 121/2 × 640320 ft³[tex]Area \: of \: triangle = ½ × height× width \\ area = \frac{1}{2} \times 8 \times \frac{20}{3} \\ area = \frac{{ \cancel8} {}^{ \: \: 4} }{ \cancel2} \times \frac{20}{3} \\ area = \frac{80}{3} {ft}^{2} [/tex]
Now for volume :-
Volume = area of triangle (2D ) × length
[tex]volume = area \times length \\ vol = \frac{80}{3} \times 12 \\ vol = \frac{80}{ \cancel3} \times { \cancel{12}} {}^{ \: \: 4} \\ volume = 320 {ft}^{3} [/tex]
Answer:- volume = 320 ft³
Related Questions
Joseph earned $53 the first week he worked at Jim’s Candy Store and $62 the next week.
How much did Joseph earn his first two weeks?
please help it is for an Assignment
Answers
Answer:
115
Step-by-step explanation:
you just add the first week money and the second week money then you get your answer
The measure of ∠4 is 25 degrees greater than one-fourth of the measure of ∠1. Find the measure of each of the four angles formed by the intersecting lines.
Answers
Answer:
1^ = 155°
^2 = 25°
^3 = 155°
Step-by-step explanation:
^1 + ^4 = 180° { sum of angles in straight line are equal to 180°}
^1+^2 = 180°{sum of angles in straight line are equal to 180°}
^3+^4=180°{sum of angles in straight line are equal to 180°}
5. IN YOUR OWN WORDS How can you find the volume of a prism?
Answers
Answer:
Multiply each number by another as shown : X * Y * Z = Volume.
Step-by-step explanation:
A three-digit lottery ticket using the numbers 0 to 9 has how many possible combinations?
Answers
Answer:
720
Step-by-step explanation:
If order mattered, we would say select the first number (10 choices), then the second (9 choices) then the third (8 choices). So there would be 10 x 9 x 8 = 720 possible choices.
Answer:
there are 720 possible answers
Step-by-step explanation:
(10 choices) on the first, then the second (9 choices) then the third (8 choices). So there would be 10 x 9 x 8 = 720 possible choices.
55. In a quality control procedure to test for defective light bulbs, two light bulbs are randomly selected from a large sample without replacement. If either light bulb is defective, the entire lot is rejected. Suppose a sample of 200 light bulbs contains 5 defective light bulbs. Find the probability that the sample will be rejected. (Hint: First calculate the probability that neither bulb is defective.)
Answers
The average age of 7 boys who attend school school is 9 years. If the average age of 4 of the boys is 12 years, find the average age of the remaining boys.
Answers
Step-by-step explanation:
The average age of 29 % boys who attend school.
Answer: The average age of 6 students is 11 years. If two more students of age 14 and 16 years join, their average.
Step-by-step explanation:
the actual distance between two towns is 190 km the scale on the particular map is 1 cm: 20 km. how far apart are the map are these two towns?
can you please explain it step by step? tysm
Answers
Answer:
9.5cm
Step-by-step explanation:
divide 190 by 20 then put cm after the answer
Answer:
9.5cm
Step-by-step explanation:
190 divided by 20=9.5
Write each amount as a rate.
a) A fast reader can read 500 words every minute.
b) Min did 13 chin-ups in 1 min.
c) A cheetah can run 70 km in 1 h.
d)When fighting a fire, a fire truck uses about 200 L of water every minute.
Answers
Answer:
Step-by-step explanation:
a)500w/m or 500wpm
c)70km/h
d)200L/m
couldn't work out b)
A lawn sprinkler sparys water 6 feet in all directions as it rotates
Find the area of the lawn that the sprinkler covers. use 3.14 for π
A 113.04²
B 37.68²
C 678.24²
D 18.84²
Answers
Answer:
(A) 113.04^2
Step-by-step explanation:
Area of a circle is found with: πr^2
in this we will replace π with 3.14
the radius is 6feet
first step: 6^2 = 36
second step: 3.14*36= 113.04^2
Find n. 16/64 n/8 please :)
Answers
n = 2 because thats what you whet when yiou simplify it
16 divided by 8 is 2 so the answer is 2
Someone told me to get it done so im asking brainly
Answers
24 is 75% of what number?
Please include how you got the answer step by step.
Answers
Answer:
32Step-by-step explanation:
24 is 75% of what number?
Please include how you got the answer step by step.
Find the unit24 : 75 = 0.32
Find the number0.32 * 100 = 32
-------------------------
check
75% of 32 = 24
(32 : 100 * 75 = 24)
please help! I will give brainliest
The members of the gardening group plan to build a walkway through the garden as formed by the hypotenuse of each of the four triangles in the drawing. That way, the gardeners will be able to access all sections of the garden. Calculate the length of the entire walkway to the nearest hundredth of a yard. Show your work. (4 points—1 point for each length calculation and 1 point for the total distance)
Is the value you just wrote for the total length of the walkway a rational or irrational number? Explain. (2 points)
Answers
Answer:
1) The length of the entire walkway to the nearest hundredth of a yard is 50.24 yds
2) 50.24 is a rational number
Step-by-step explanation:
1) To calculate the length of the walkway, you need to find "b"
the value of b using the Pythagoras theorem can be written as,
D²=12²+b²
15²=12²+b²
225=144+b²
b²=81
b=9
the value of each of the four hypotenuses can be written as,
A = [tex]\sqrt{12^2+8^2}[/tex] = [tex]\sqrt{208}[/tex] = 14.422
B = [tex]\sqrt{6^{2} +8^{2} }[/tex] = [tex]\sqrt{100}[/tex] = 10
C = [tex]\sqrt{6^2+9^2}[/tex] = [tex]\sqrt{117}[/tex] = 10.82
D = 15
Adding the value of all the hypotenuse to get the length of the walkway, therefore, the length will be,
14.422 + 10 + 10.82 + 15 = 50.24
So, the entire walkway to the nearest hundredth is 50.24
2) Because Irrational numbers are ones that never end.
50.24 is a nice, round number, even though its a decimal.
Answer:
50.24 - rational number
Step-by-step explanation:
Of the following situations, which one involves combining opposite quantities to make zero?
Answers
Answer:
d
Step-by-step explanation:
if Emma makes 12 cupcakes and her friends eat them all, she now has 0 cupcakes.
The table shows the number of students playing different games at recess. What is the relative frequency of students playing 4-square? Express your answer as a fraction in simplest form.
Answers
Answer:4/25
Step-by-step explanation: add the frequency together making it 50 then put the frequency u want (8) and divide by the total (50) making it 16 covert it into fraction it 4/25. ( i hope I got it right but tell me if I'm wrong ill try again)
A furniture store owner buys a sofa for $400 and marks it up 90% to sell it. During the store's anniversary sale, she sells the sofa for 25% off.
How much profit will the store owner make on the sofa during the anniversary sale?
A furniture store owner buys a sofa for $400 and marks it up 90% to sell it. During the store's anniversary sale, she sells the sofa for 25% off.
How much profit will the store owner make on the sofa during the anniversary sale?
Answers
Answer:
$570
Step-by-step explanation:
If she marks up the sofa for 90%, she will change the price to 760$
Now, 25% of 760$ is 190$. So, we subtract 190 from 760 and get 570$
Hope this helped, and have a good one!
Norma has 10 black,12 white,and 3 brown pairs of socks in one drawer. What is the probability that without looking, Norma will pick a BROWN pair of socks from the drawer?
Answers
Answer:
1/100.
Step-by-step explanation:
Total number of socks in the drawer
= 25.
Prob(First pick is brown) = 3/25.
Prob(Second pick is brown) = 2/24 = 1/12.
So the required probability
= 3/25 * 1/12
= 3/300
= 1/100.
Answer:
Ok so the answer to this question would be 3/25
Step-by-step explanation:
The answer to the probability is always a fraction
The numerator is the number of favorable outcomes - in this problem, it is the brown socks
The denominator is the total amount of possible outcomes - in this problem, it is the total amount of socks
3/ 10+ 12 +3 = 3/25
- By the way, have your answer in simplest form - always
32. A fast food restaurant advertises that it offers any combiNtion of 8 condiments on a hamburger, thus giving a customer 256 choices. How was this number obtained?
Answers
In the game 'rock, paper, scissors', both players make a fist with one hand. On the count of three, the players make either a rock (by keeping their hand in a fist), a sheet of paper (by holding their hand out flat), or a pair of scissors (by sticking out their first two fingers).
If both players make the same thing, it's a tie. If a rock and scissors are played, the rock wins. If scissors and paper are played, the scissors win. If paper and a rock are played, the paper wins.
a) Play at least 20 games of 'rock, paper, scissors' with a friend. Record the results as you go - write down who won, and what with.
b) After you've finished playing, organise your results into a table and use this to estimate some probabilities. Who was most likely to win? Were either of you more likely to play a certain object each time? Could you use this information to help you win more games next time?
Answers
If this is for a school assignment, not sure how someone else would record themselves playing rock paper scissors.
word problems involving length and money
Answers
Answer: 21
Step-by-step explanation:
Plot the following points on the coordinate plane: Point A: (3, 5) Point B: (0, 3) Point C: (1, 8) Point D: (7, 2) Point E: (0, 9)
PLEASE HELP WILL GIVE BRAINLIEST (88 POINTS)
Answers
Answer:
I got you I saved the image and wrote on it :)
Step-by-step explanation:
just look at the image it has all the coordinates labeled.
Solve 6(2/3x-3)>8. The thing says the question is too short and to add at least 20 more words so ignore this sentence, it's only to submit
Answers
Answer:
[tex]6(\frac{2x}{3} -3) > 8\\[/tex]
Solve brackets
6(0.66x-3)>8
Multiply 6 with values in the bracket
So, 6x0.66x and 6x-3
4x- 18> 8
Since 4x and 18 are unlike terms, we will take 18 onto the other side, thus:
4x>8+18
4x>26
Now to find the value of x, divide 4 on B.S
x> [tex]\frac{26}{4}[/tex]
X> 6.5
OR in 'fraction form'
X>[tex]\frac{13}{2}[/tex]
Hope this helps :D
12x/3 - 18 > 8 distribute the 6
4x - 18 > 8 reduce fraction
4x > 26 add 18 to both sides
x > 6.5 divide both sides by
4.
36. Find the sum of the infinite geometric series if it exists.
1+\frac{3}{2}+\frac{9}{4}+\frac{27}{8}+\cdots
Answers
Answer:
[tex]=2\times \left( \frac{3}{2} \right)^{n+1} -2[/tex]
Step-by-step explanation:
[tex]1+\frac{3}{2} +\frac{9}{4} +\frac{27}{8} +\cdots[/tex]
[tex]=1+\left( \frac{3}{2} \right)^{1} +\left( \frac{3}{2} \right)^{2} +\cdots +(\frac{3}{2})^n[/tex]
[tex]=\frac{1-\left( \frac{3}{2} \right)^{n+1} }{1-\frac{3}{2} }[/tex]
[tex]=-2\times \left( 1-\left( \frac{3}{2} \right)^{n+1} \right)[/tex]
[tex]=2\times \left( \left( \frac{3}{2} \right)^{n+1} -1\right)[/tex]
The table shows the amount of produce sold at a farmer's market in the morning.
Type of Produce Number Sold
apples 40
sweet corn 80
pears 30
The farmer expects to sell 240 pieces of produce in the afternoon. Based on this morning's results, how many apples can be expected to be sold?
apples
Answers
Answer:
64 apples
Step-by-step explanation:
We assume that the proportion of apples sold in the afternoon is the same as it is in the morning.
__
setupThe number of pieces of produce sold in the morning was 40+80+30 = 150. Of these, 40 were apples. At that same rate, the sale of apples in the afternoon is expected to be ...
apples/total = apples/240 = 40/150
solutionMultiplying by 240, we find the expected sale of apples to be ...
apples = 240(40/150) = 64
64 apples can be expected to be sold in the afternoon.
Solve the Expression
x-3(5x-6)=3-10x
Find the value of "x"
Answers
Explanation:
Answer:
15/4 or 3.75
Step-by-step explanation:
x - 15 x + 18 = 3 - 10x
15 = 4x
x = 15/4 or 3.75
perimeter of a triangle (combine like terms)
Answers
Answer:
6x+3
Step-by-step explanation:
(x+4)+(3x-2)+(2x+1)
=x+4+3x-2+2x+1
=x+4+3x-2+2x+1 --> Here I'm just bolding the variables. This makes it easier to combine like terms in the next line.
=6x+4-2+1
=6x+3
Geoff planted dahlias in his garden. Dahlias have bulbs that divide and reproduce underground. In the first year, Geoff’s garden produced 4 bulbs. In the second year, it produced 8 bulbs, and in the third year, it produced 16 bulbs. If this pattern continues, how many bulbs should Geoff expect in the tenth year?
A). 2,048 bulbs
B). 1,024 bulbs
C). 40 bulbs
D). 32 bulbs
Answers
Answer:
I think it's A). 2,048
Step-by-step explanation:
I did the problem.
4 * 2 = 8 2nd year
8 * 2 = 16 3rd year
16 * 2 = 32 4th year
32 * 2 = 64 5th year
64 * 2 = 128 6th year
128 * 2 = 256 7th year
256 * 2 = 516 8th year
516 * 2 = 1024 9th year
1024 * 2 = 2048 10th year
If 2048 isn't correct, than the answer is B?. 1,024
ASAP PLEASE HELP HOMEWORK!!!
Answers
Answer: He will have 3750 in 5 years.
Step-by-step explanation: You need to do 500x1.5x5=3750! 500 dollars is the amount in the account. 1.5 is the interest. 5 is the amount of years.
So multiply
500 × 1.5 % = 7.57.5 percent is equal to only 1 year so ..
7.5 × 5 = 37.5Then add to 500
37.5 + 500 = $537.50537.50 is the simple interest but the annual interest is $538.64
Brainliest, help me! Thanks queen!!
What is an equivalent fraction for the following fraction?
5/15
Options:
A.1/4
B.1/5
C.1/3
Answers
The equivalent fraction for 5/15 is 1/5
Option B is correct
Hope it helps
Mark as brainliest.
The equivalent fraction for 5/15 is 1/3
What are equivalent fractions?Equivalent fractions are fractions with different numbers representing the same part of a whole. They have different numerators and denominators, but their fractional values are the same. For example, think about the fraction 1/2.
the scoop of an excavator holds 26 ft³of sand. if the capacity of a freight car is 39 tons of sand and we know that 1 ft³ of sand weighs 0.05 ton how many freight cars can be filled with 120 scoops?
Answers
Answer:
4!
Step-by-step explanation:
its 0.05 not 0.5! instead of it being 40, its 4
4 freight cars can be filled by 120 scoops of excavator having a total mass of 156 tons and a volume of 3120 ft³.
What do we mean by volume or capacity of a substance?In three-dimensional space, volume refers to the entire amount of space occupied by an item. Capacity refers to an object's capacity to contain, absorb, or accept anything (such as a solid material, gas, or liquid).
What do we mean by the mass of a substance?The amount of matter in a substance or object is measured by its mass.
How do we solve the given question?In the question, we are given that the scoop of an excavator holds 26 ft³of sand.
We are asked if the capacity of a freight car is 39 tons of sand, then how many freight cars can be filled with 120 scoops.
We are also informed that 1 ft³ of sand weighs 0.05 tons.
We first find the mass of sand in one scoop of an excavator.
The volume of sand in one scoop of an excavator = 26 ft³.
Mass of 1 ft³ of sand = 0.05 tons.
∴ Mass of 26 ft³ of sand, that is, the mass of sand in one scoop of an excavator = 26*0.05 tons = 1.3 tons.
∴ Mass of 120 scoops = 120*1.3 tons = 156 tons.
The capacity of one freight car = 39 tons
∴ Number of freight cars in 156 tons = 156/39 = 4.
∴ 4 freight cars can be filled by 120 scoops of excavator having a total mass of 156 tons and a volume of 3120 ft³.
Learn more about the mass and volume of a substance at
https://brainly.com/question/1354972
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