A triangular prism is shown below. The base is a right triangle.
What is the volume of the triangular prism?
cubic centimeters
Answers
The triangular prism has a \(200\) cubic centimeter volume.
A triangular prism, does it have five faces?There are 5 faces, 6 vertices, and 9 edges on a triangular prism. Using building supplies, we would use either 9 edge pieces and 6 corners pieces to create the prism's frame or 3 rectangles and 2 triangle that connect at the edges to form a closed three-dimensional structure.
How is a prism made?A prism functions because the various hues of light move through the glass at various rates. Because different colours of light move through space at varying speeds, they are bent in different ways and emerge spread out rather than combined.
\(V = (1/2) * b * h * l\)
\(V = (1/2) * 8 cm * 5 cm * 10 cm\)
\(V = 200\)cubic cm
Therefore, the volume of the triangular prism is \(200\) cubic centimeters.
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Related Questions
Help me solve this question for AP Calculus AB.
Answers
Rewrite the equation with the given information:
integral (5 to 2) + integral (2 to -3)
solve = -3 + 7 = 4
Nick's grandfather grows tomatoes in a section of his yard that is 4/5 meter long and 2/3 meter wide. What is the area of the tomato section?
Answers
Answer:
Multiply 4/5 by 2/3
Step-by-step explanation:
Answer:
8/15m^2
Step-by-step explanation:
Hello, to find the area of a rectangle, you take the width and the length and you multiply them together like this:
4/5 x 2/3= 8/15m^2
Don't forget the meters squared in your answer.
8b
The following three shapes are based only on squares,
semicircles, and quarter circles. Find the perimeter and the area of
each shaded part. Give your answer as a completely simplified
exact value in terms of rt (no approximations).
Just the perimeter
Answers
Answer:
P = 36 - 9π
Step-by-step explanation:
Similar to solving the area
Answer: look at the pictureeeee
Ur welcome hahah
Please help me with this proof.
Answers
Answer:
See below
Step-by-step explanation:
For the second step, \(\angle T\cong\angle R\) by Alternate Interior Angles. The rest of the steps appear to be correct.
3. Match each equation with the corresponding equation solved for a *a = 2b/5a= -2b/ 5a = -2ba = 2b - 5a = 5 - 26a + 2b = 55a = 2ba + 5 = 2b5(a + 2b) = 05a + 2b = 0
Answers
Solving the equations we have
1. a + 2b = 5
Solving for a we get
\(a=5-2b\)2. 5a = 2b
Solving for a we get
\(a=\frac{2b}{5}\)3. a + 5 = 2b
Solving for a we get
\(a=2b-5\)4. 5(a + 2b) = 0
Solving for a we get
\(\begin{gathered} a+2b=0 \\ a=-2b \end{gathered}\)5. 5a + 2b = 0
Solving for a we get
\(\begin{gathered} 5a=-2b \\ a=\frac{-2b}{5} \end{gathered}\)I need extra help -(-24/8)2 squared
Answers
(-24/8)^2 first and add the other negative to answer after
= -9
uppose the number of goals scored per game in an under 14 boys indoor soccer league follows a Poisson distribution with 3.3 goals per game. Define x as the number of goals scored in a game. You will answer questions concerning the probabilities of different values of x in this sample Excel spreadsheet: A B 1 P(x = 2) =POISSON.DIST(2,3.3, FALSE) 2 P(x = 5) 3 P(x > 3)
Answers
A excel spreadsheet computes likelihood of various upsides of objectives scored in a game utilizing the POISSON.DIST capability. The equation for x=2, 5 and x>3 objectives is given.
In the Succeed calculation sheet, Segment A rundowns the various upsides of x that we need to track down the probabilities for.
Segment B contains the relating equation to ascertain the likelihood utilizing the POISSON.DIST capability.
The recipe in cell B1 works out the likelihood of scoring 2 objectives in a game, P(x = 2), utilizing the POISSON.DIST capability with the contentions 2, 3.3, and Misleading.
The equation in cell B2 computes the likelihood of scoring 5 objectives in a game, P(x = 5), utilizing the POISSON.DIST capability with the contentions 5, 3.3, and Misleading.
The recipe in cell B3 works out the likelihood of scoring multiple objectives in a game, P(x > 3), utilizing the POISSON.DIST capability with the contentions 3, 3.3, and Valid. The Genuine contention works out the combined conveyance capability, which gives the likelihood of getting a worth not exactly or equivalent to the contention. To track down the likelihood of getting a worth more prominent than the contention, deduct the combined dissemination capability from 1.
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The initial number of views for a reader board is 25. The number of views is growing exponentially at a rate of 18% per week. What is the number of views expected to be four weeks from now?
Answers
Answer:
48
Step-by-step explanation:
n = 25(1.18)^4
n = 48.469444
Rounded to 48
Answer:
48 views.
Step-by-step explanation:
18% = 0.18 as a decimal fraction.
The increase in number of books per week is found by multiplying by 1.18.
The equation is an exponential one and is:
V = 25(1.18)^t where V = views and t = number of weeks.
So after 4 weeks :
V = 25 (1.18)^4
= 48.47
A student solves the following problem:
Problem: 2(x−3)+3x=19
Step 1: 2x−6+3x=19
Step 2: 6x−6=19
Step 3: 6x−6 + 6=19 + 6
Step 4: 6x=25
Step 5: 6x6=256
Step 6: x≈4.17
Where is the mistake? What did the student do incorrectly?
Responses
Step 3: Student should have subtracted 6 from both sides, not added 6.
Step 5: Student should have subtracted 6 from both sides, not divided by 6
Step 1: Student should have only distributed the 2 to the x and not the x & 3.
Step 2: Student should have added 2x + 3x = 5x, not 2 x 3 = 6x
Answers
Answer:
error in Step 2
Step-by-step explanation:
2(x - 3) + 3x = 19
Step 1 : 2x - 6 + 3x = 19 ← simplify left side by collecting like terms
Step 2 : 5x - 6 = 19 ← add 6 to both sides
Step 3 : 5x - 6 + 6 = 19 + 6
Step 4 : 5x = 25 ← divide both sides by 5
Step 5 : x = 5
Error was made by student in Step 2 who should have added 2x and 3x, not multiplied 2 × 3
a swimming pool has 120 kilo litres of water. If the width of the pool is 4m and the depth of the water is 2m, what is the length of the pool
Answers
Answer:
The formula for the volume of cuboid (the swimming pool is cuboid) is
length x width x height= volume
(Depth is height)
so what we do is we suppose length to be 'l'
l x 4 x 2=120
8l=120
l=120/8
l=15
The length is 15 metres
What is the area of a flower garden with a width of 1.2 m and a length of 3.6 m
Plz help
Answers
Answer:
4.32m²
Step-by-step explanation:
Width · Length
3.6 · 1.2 = 4.32
Answer:4.32 m
Step-by-step explanation:When trying to find the area of something with length and width you multiply them both to find your answer. (1.2 x 3.6=4.32) or you can always multiply 12 times 36 and move the decimal to where it belongs.
5. Given an arithmetic sequence, Tn, the sum of the third and fourth terms is 167 and T21 = -4. Determine the value of the constant difference and hence find the general term, T- (6)
Answers
The arithmetic sequence's fifth term is therefore 84.
How can you determine the value of n in the sum of an arithmetic sequence?An arithmetic sequence's nth term is determined by a = a + (n - 1)d. So, enter the values a = 2 and d = 3 into the formula to determine the nth term.
The formula to determine the nth term of an arithmetic series is a = a1 + (n - 1)d if a1 is the first term and d is the common difference.
In the mathematical sequence, 84 is the fifth term.
The process for calculating value
An arithmetic sequence's nth term can be calculated using the following formula:
Tn = a + (n -1)d
Where;
First term is a.
N words are present.
d is the typical difference
We must substitute nas 5's value in order to find the fifth term.
T5 = 4 + (5-1) 20
T5 = 4 + 4(20) (20)
the bracket be expanded
T5 = 4 + 80
T5 = 84
The arithmetic sequence's fifth term is therefore 84.
The complete question is,
4 is the initial term and 20 is the constant difference in an arithmetic series. Discover the sequence's sixth phrase.
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Regina bought a handmade quilt at original cost $120 to sell in her quilt store. She marked the price up 55%.
Answers
Answer:
\(Selling\ price = \$190.65\)
Step-by-step explanation:
Given
\(Price = \$123\)
\(Marked\ up = 55\%\)
Required
The selling price
This is calculated as:
\(Selling\ price = Price + Marked\ up* Price\)
\(Selling\ price = \$123 + 55\% * \$123\)
\(Selling\ price = \$123 + \$67.65\)
\(Selling\ price = \$190.65\)
Answer:
$66.00
Step-by-step explanation:
We are asked to find the amount of markup on Regina's quilt. The amount of markup is given by
markup rate×original price=amount of markup.
The markup rate is in decimal form.
Since the original price was $120, and the markup rate is 55%=0.55, we have
0.55×120=66.
Thus, the amount of markup on Regina's quilt was $66.00.
A man's gross income is R500 000. He worked at different places throughout the year
and a total of 17% of his earnings was deducted by his employers as PAYE throughout
the tax year. He qualifies for a rebate of R13 257. Calculate how much tax he still
owes. Information taken from the tax table shows that, for a taxable income between
R393 201 and R550 100, R93 135 + 36% above R393 200 needs to be paid.
O R101 678
O R71 774
O R33 326
O R25 191
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Previou
Next >
Answers
The man still owes R87,726 in taxes.
To calculate the tax amount the man still owes, we need to determine his taxable income first.
Gross income: R500,000
Less: PAYE deductions (17% of gross income): R500,000 * 0.17 = R85,000
Taxable income: R500,000 - R85,000 = R415,000
Next, we can use the tax table information provided to calculate the tax owed based on the taxable income.
Tax owed: R93,135 + 36% of (taxable income - R393,200)
Tax owed: R93,135 + 0.36 * (R415,000 - R393,200)
Tax owed: R93,135 + 0.36 * R21,800
Tax owed: R93,135 + R7,848
Tax owed: R100,983
Finally, we subtract the rebate amount of R13,257 from the tax owed to find the amount the man still owes.
Tax owed - Rebate: R100,983 - R13,257 = R87,726
Therefore, the man still owes R87,726 in taxes.
The correct option is not provided among the given answer choices.
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Why are there two solutions for the equation |6 + y| = 2?
Answers
Answer:
it can be negative or positive. You can change the number after the equal to a negative, or a positive depending on what the number is.
Please help me with this, ASAP. Please and thank you! D:
Answers
If your able to of course
Help mr///////)()&&)&!!,;$?&&,;)$,५$,(७,
What is the equation for f(x)?
Answers
The solution is:
The inverse of the given equation is ±sqrt(x+1).
Here, we have,
given equation is :
y = x^2 -1
now, we have to find the inverse of the given equation
so, we have,
Exchange x and y, we get,
x = y^2 -1
Solve for y, we get,
Add 1 for each side
we get,
x+1 = y^2-1+1
x+1 = y^2
Take the square root of each side
we get,
±sqrt(x+1) = sqrt(y^2)
±sqrt(x+1) = y
The inverse is ±sqrt(x+1)
Hence, The solution is:
The inverse of the given equation is ±sqrt(x+1).
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complete question:
If f(x) = x^2 -1, what is the equation for f–1(x)?
What is the measurement of angle BAD? (angle BDC = 34, angle BDA = 37)
Answers
Since ∠BDA is an inscribed angle measuring 25°, the arc it intercepts, AB, must measure 50°. For the same reason, the arc intercepted by ∠BDA must measure 64°. That's a total of 114° out of the semicircle ABCD, which leaves 66° out of the 180° half-circle. That's the measure of arc BC.
Define measurement?Associating numbers with physical quantities and events is the process of measuring. The sciences, engineering, building, and other technological professions, as well as practically all daily activities, all depend on measurement.An object or event's attributes are quantified through measurement so that they can be compared to those of other things or occurrences. Measurement, then, is the process of establishing how big or little a physical quantity is in relation to a fundamental reference quantity of the same kind.Comparing a physical quantity with a recognized standard quantity of some kind is the process of measurement.Comparison of an unknown fixed quantity with a known fixed quantity of the same kind is measurement.To learn more about measurement refer to:
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Since ∠BDA is an inscribed angle measuring 25°, the arc it intercepts, AB, must measure 50°. For the same reason, the arc intercepted by ∠BDA must measure 64°. That's a total of 114° out of the semicircle ABCD, which leaves 66° out of the 180° half-circle. That's the measure of arc BC.
Define measurement?
Associating numbers with physical quantities and events is the process of measuring.The sciences, engineering, building, and other technological professions, as well as practically all daily activities, all depend on measurement.An object or event's attributes are quantified through measurement so that they can be compared to those of other things or occurrences.Measurement, then, is the process of establishing how big or little a physical quantity is in relation to a fundamental reference quantity of the same kind.Comparing a physical quantity with a recognized standard quantity of some kind is the process of measurement.Comparison of an unknown fixed quantity with a known fixed quantity of the same kind is measurement.To learn more about measurement refers to:
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Please answer this correctly
Answers
Explanation: it’s a histogram, which is similar to a bar graph, but its data points lie within ranges with values.
Answer:
0-4: Make it 5 units tall
5-9: Make it 0 units tall (Change nothing)
10-14: Make it 3 units tall
15-19: Make it 4 units tall
20-24: Make it 3 units tall
Step-by-step explanation:
0-4: 2, 2, 4, 4, 4 (5 numbers)
5-9: (0 numbers)
10-14: 10, 14, 14 (3 numbers)
15-19: 16, 16, 15, 19 (4 numbers)
20-24: 20, 20, 22 (3 numbers)
Please help find the perimeter and area of the polygon
Answers
What is a perfect square 6^1
Answers
A perfect square refers to a number that is the result of multiplying an integer by itself. In this case, 6^1 is equal to 6.
However, 6 is not a perfect square because it cannot be obtained by multiplying an integer by itself. The perfect squares up to 6^1 would be 1^2 = 1 and 2^2 = 4.
At a game show, there are three doors marked 1, 2, and 3. A contestant is allowed to select one of three keys labeled A, B, and C and then use it to open one of the doors. The sample space showing the ways in which a contestant can select a key and a door is represented in the table.
Door
1 2 3
Key A A-1
A-3
B B-1 B-2 B-3
C C-1 C-2
C-3
What is the missing term in the table? If there were two doors instead of three doors, what would the sample size be?
A.
The missing term is A-2. The sample size would be 6.
B.
The missing term is C-2. The sample size would be 8.
C.
The missing term is C-2. The sample size would be 9.
D.
The missing term is B-2. The sample size would be 12.
Answers
Answer:
It is A
Step-by-step explanation:
The answer is A. The missing term is A-2. The sample size would be 6.
a. To answer the question, we need to know what sample space is.
What is a sample space?A sample space is the total number of possible outcomes of an event.
Now, since there are Doors 1, 2 and 3 and Keys A, B and C. The sample space is
Key A: A-1, A-2, A-3
Key B: B-1, B-2, B-3
Key C: C-1, C-2, C-3
So, the missing item is A-2.
b.
The sample size would be 6.
To answer the question, we need to know what sample size is.
What is sample size?The sample size is the size of the sample space.
If there were two doors instead of 3, the sample size would be since we have 2 doors and 3 keys. The sample size is 2 × 3 = 6.
So, the sample size would be 6.
So, the answer is A. The missing term is A-2. The sample size would be 6.
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2x-4=x+6 solve for x
Answers
Answer:
X=10
Step-by-step explanation:
2×10 is 20 - 4 is 16 and 10 +6 is 16 too so 16=16
the question is in the picture lol
Answers
The temperature in a town is 36.1°F during the day and -8.9°F at night. Find the difference in the
temperatures.
The difference in temperature is N°r.
HELP HELP
Answers
Answer:
45 degrees
Step-by-step explanation:
What is the value of (2/3)^4 ?
Answers
Answer:
THE ANSWER IS 81/16 OR C
The formula A=12(b+c)h. Write the equation in term of c?
Answers
Answer:
\(c = \frac{A}{12h} - b\)
Step-by-step explanation:
Okay, so the goal is to isolate c on one side with all the other terms on the other side. So, let's start by dividing both sides with 12h. After we do that, we will be left with \(\frac{A}{12h} = b+c\). Now, we can subtract both sides by b, and we will be left with \(\frac{A}{12h} - b = c\). Yay! We've now isolated c and that is our final answer!
Hope this helped! :)
Enter the numbers in order from greatest to least. 1 3 , 2.7, -1.9, 2 10 2
Answers
Then, the ordered list from greatest to least is:
\(2.7,2\frac{1}{2},-\frac{3}{10},-1.9\)What are three consecutive multiples of 3 if 2/3
of the sum of the first
two numbers is 1 greater than the third number?
Answers
The three consecutive multiples of 3 are 15, 18 and 21
To solve this problem
First, let's determine three successive multiples of 3:
The subsequent two would be "x+3" and "x+6" if we call the initial number "x".
Since we are aware that the third number (x+6) is one more than the first two numbers (x + x+3), we can write the following equation:
2/3(x + x+3) = (x+6) + 1
Simplifying this equation, we get:
2/3(2x+3) = x+7
Multiplying both sides by 3, we get:
2(2x+3) = 3(x+7)
Expanding and simplifying, we get:
4x + 6 = 3x + 21
Subtracting 3x and 6 from both sides, we get:
x = 15
Therefore, the three consecutive multiples of 3 are 15, 18 and 21
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reduceti termenii asemenea : 3a+7b-1,5a-2,8b
Answers
Answer:
3a+7b-1,5a-2,8b3a+7b-1+5a-2+8b8a+15b-3Step-by-step explanation:
If you like my answer than please mark me brainliest thanks