Use the diagram below to answer parts B, and C.
5 in
5 in
4.3 in
14 in
5 in
Part B: What is the volume of the triangular prism?
Volume =
in3
Part C: What is the surface area of the triangular prism?
in2
Surface Area =
Answers
Answer:
The volume of the triangular prism in the diagram is:
105.5 [tex]in^{3}[/tex]The surface area of the triangular prism in the diagram is:
10.75 [tex]in^{2}[/tex]Step-by-step explanation:
First, we're gonna calculate the surface area to obtain the volume, then, to calculate the area of a triangle (because the surface o a triangular prism is just a triangle), you can use the formula:
Area of a triangle = (base * height) / 2We have this data from the diagram, where the base of the triangles is 5 inches and, the height is 4.3 inches, replacing this in the formula:
Area of a triangle = ( 5 in * 4.3 in) / 2Area of a triangle = ( 21.5 [tex]in^{2}[/tex]) / 2Area of a triangle = 10.75 [tex]in^{2}[/tex]Now, we can calculate the volume of the triangular prism with the next formula:
Volume of a triangular prism = surface area * depthIn the diagram, we can see the depth is 14 inches, then:
Volume of a triangular prism = 10.75 [tex]in^{2}[/tex] * 14 inVolume of a triangular prism = 105.5 [tex]in^{3}[/tex]How you can see with the calculations perfomed, the surface area is 10.75 [tex]in^{2}[/tex] and the volume of that triangular prism is 105.5 [tex]in^{3}[/tex].
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Find the value of the indicated angle.
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Answer:
leg = 1
hypotenuse = √2 or 1.41
Step-by-step explanation:
How many DVDs can you buy with $192 if one DVD costs $16?”
Answers
Answer:
You could buy 12 DVDs when one DVD costs $16.
Step-by-step explanation:
192 / 16 = 12
A fruit store purchases 10000 apples. It sells of the
1/2 of the remaining apples per day. Calculate the number of apples left
after 5 days. Round your answer to the nearest whole number.
Number of apples left:
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??
Step-by-step explanation:
?? I do not know maybe someone knows
Beverly wants to list the following numbers in order from greatest to least l. Place the rational number in order from greatest to least? 1/6 6% 0.012 1/12
Answers
Answer:
0.012, 1/12 , 6% , 1/6
Step-by-step explanation:
To put these numbers in order, you need to first put them in the same form. Let's turn them all into decimal form.
* To put fractions in decimal form you need to divide the numerator into the denominator.
* To put a percent into a fraction you need to understand that this percent is out of 100. ex: 6% = 6/100 , 3% = 3/100 11% = 11/100. so in order to put the new fraction into a decimal, you put it in the correct decimal place. This is wrong 6/100 = .60 this reads 6 tenths so we need to go over a decimal place.
This is correct 6/100 = .06 This is 6 tenths.
So let's go through: _
1 divided by 6 equals 0.16
6% is equal to .06
0.012 is already in decimal form 0.012 _
1 divided by 12 equals 0.083
#Always remember you have to put the numbers in the original form that they were given.
# Also the more decimal places a number has behind the decimal the less the number
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0.12 > 0.012
A machine packages bags of almonds. The weights of the bags are normally distributed with a mean of 14 ounces and a standard
deviation of 1.2 ounces.
Enter the Z-score of a bag of almonds that weighs 12.2 ounces.
Answers
Answer: -1.5
Step-by-step explanation:
took the test
The z-score of a bag of almonds weighing 12.2 ounces will be negative 1.5.
What is a normal distribution?The Gaussian Distribution is another name for it. The most significant continuous probability distribution is this one. Because the curve resembles a bell, it is also known as a bell curve.
The z-score is a statistical evaluation of a value's correlation to the mean of a collection of values, expressed in terms of standard deviation.
A machine packages bags of almonds.
The weights of the bags are normally distributed with a mean of 14 ounces and a standard deviation of 1.2 ounces.
Then the z-score of a bag of almonds weighing 12.2 ounces will be
z-score = (x - mean) / SD
z-score = (12.2 - 14) / 1.2
z-score = -1.8 / 1.2
z-score = -1.5
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Look at the figure. Which ray is opposite of DE ?
Answers
Answer:
BA
Step-by-step explanation:
DE is the last two letters, and BA is the first two
A square has an area of 81 square feet. Select all the expressios that equal the side length of the square, in feet
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10, 20, 30, 40 minutes 60,120,180,240 calories burned how many calories will Alexa burn in 11 minutes
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Answer:
67 calories
Step-by-step explanation:
because its bettween one
You choose a movie at random from a list containing 8 comedy movies, 5 science fiction movies, and 7 adventure movies. What is the theoretical probability that the movie is not a comedy?
Select all that apply.
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0.60
50%
50%
252 fifths
353 fifths
60%
Answers
Our whole is all movies which adds up to 20 and that will be our denominator. So, 12/20 can be simplified to 3/5 or 0.6 or 60% (those are the answers)
The equation: 2x + y = -10
-2x -y = 10
Will the X’s or Y’s eliminate?
A) X’s
B) Y’s
C) Both
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Answer:
A
Step-by-step explanation:
ТЕКСТ ЗАДАНИЯ
Задание No 7
Длина прямоугольника равна сумме утроенного значения ширины и числа 2.
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b) Составьте таблицу для данной зависимости и постройте ее график.
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Answer:
Mba'epio la he'i pava pepe
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Answer:
?
Step-by-step explanation:
a square with a side of 2 cm is dilated by a factor of 7/3 what is the side length of the dilated figure?
Answers
Answer:
14/3 cm
Step-by-step explanation:
The lengths of sides of a figure get multiplied by the dilation factor. The dilated square has side length 2 x 7/3 = 14/3.
write five rational number which are smaller than 2
Answers
Answer:
The numbers can be -4, -3, -2, -1, and 1
2. How many students are there in Katy's study?
Write your answer in the space below.
Answers
Answer:
39 Students
Step-by-step explanation:
Answer:
there are 38 students
Step-by-step explanation:
9+10=19
19+7= 26
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Turn the word problem into an inequality. "There were at least 250 students at the dance."
Answers
Answer:
x ≥ 250
Step-by-step explanation:
i think thats what it is, but i could be wrong. sorry if i am.
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Answer:
6/20 prescient chance to get a green marble and a 8/19 chance to get a purple one
Step-by-step explanation:
A disc has a diameter of 23 cm. The inner hole in the disc has a radius of 2 cm. Find the circumference of both the inner hole and the entire disc. Round to the nearest whole centimeter.
Answers
Answer:
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Step-by-step explanation:
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Answer:
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Step-by-step explanation:
0.2 x 6 = 1.2
Answer:
1.2
Step-by-step explanation:
0.12 looks like the correct answer but its not because if you look at the problem its 0.2 and 0.12 is smaller than 0.2 so its 1.2 because 0.2 x 6 = 1.2
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Anybody know this? Need help
Answers
Answer:
ill give my honest opinion i dont know
Step-by-step explanation:
Square pyramid A and square pyramid B are similar. Their respective heights are 6 and 15 inches. The volume of pyramid B is 312.5 cubic inches. What is the volume of pyramid A?
Answers
The volume of pyramid A is 20 cubic inches.
Given that:
Height of pyramid of A and B are 6 and 15 inches, respectively.
Since square pyramid A and square pyramid B are similar, their corresponding sides are proportional.
Let the volume of pyramid A be V and the scale factor between the two pyramids be k.
The volume of a pyramid is given by V = (1/3) × base area × height.
Since the base of pyramid B is k times the base of pyramid A, and the height of pyramid B is also k times the height of pyramid A, we can set up the following relationship:
V(B) = k³ × V(A)
Given that the height of pyramid A is 6 inches and the height of pyramid B is 15 inches, we can calculate the scale factor k as follows:
k = height of B / height of A = 15 / 6 = 2.5
Now, we know the scale factor k, and we are given the volume of pyramid B as 312.5 cubic inches. We can find the volume of pyramid A:
V(B) = k³ × V(A)
312.5 = 2.5³ × V(A)
312.5 = 15.625 × V(A)
Now, solve for V(A):
V(A) = 312.5 / 15.625
V(A) = 20
The volume of pyramid A is 20 cubic inches.
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Select the equivalent expression.
(54.6-10) “ =?
Choose 1 answer:
54. 660
524.860
360
524
Answers
Answer:
©
[tex]( {5}^{4} . { {b}^{ - 10}) }^{ - 6} = ( {5}^{4. - 6} ).( {b}^{ - 10. - 6} ) \\ = {5}^{ - 24} . {b}^{ 60} \\ = \frac{ {b}^{60} }{ {5}^{24} } [/tex]
three members d,m,n are in the ratio 3:6:4.find the value of 4m-m over m+2n
Answers
Answer:
D : M : N
3 : 6 : 4
4M-M= 4(6)-6= 24-6= 18
M+2N= 6+2(4)= 6+8= 14
Solve for x (5x +40) A. AB. BC, AC B. BC. AC. AB C. AC. AB. BC (7x+8) (10x) с A D. BC. AB. AC Which of the following lists the sides in order from shortest to longest?
Answers
Answer:
D
Step-by-step explanation:
The shortest side is the side opposite the smallest angle, the longest side is opposite the largest angle.
First find the measure of the angles in the triangle.
The sum of the 3 angles = 180° then
5x + 40 + 10x + 7x + 8 = 180
22x + 48 = 180 ( subtract 48 from both sides )
22x = 132 ( divide both sides by 22 )
x = 6
Then
∠ A = 7x + 8 = 7(6) + 8 = 42 + 8 = 50°
∠ B = 5x + 40 = 5(6) + 40 = 30 + 40 = 70°
∠ C = 10x = 10(6) = 60°
The shortest side is opposite ∠ A , that is BC
The longest side is opposite ∠ B , that is AC
The sides in order from shortest to longest are
BC, AB, AC → D
If the graph of a function increases as x increases and decreases
as x decreases, the degree must be _____
Answers
Answer:
Degree must be odd.
Step-by-step explanation:
In the end behavior of quadratic functions, the graph will either rise or fall as x increases infinitely. Likewise it will also rise or fall as x decreases infinitely.
Now, when x increases or decreases up to infinity(∞) and f(x) increases up to infinity (∞), it is said to be an even powered function and thus the degree is said to be even.
Similarly, when x increases up to infinity(∞) and f(x) increases up to infinity(∞), it is said to be an odd powered function and degree is odd.
If a number is selected at random from the first 50 natural numbers,what will be the probability that the selected number is a multiple of 3 and 47.
Add working steps :)
Answers
1
47
X3
—-
132
Example: add 7 x 3 and you will get 12 but take the 1 from 12 and put the 1 on top of 4. Then add 4 x 3 and plus the 1 and add that all together it’s 13 so the answer is 132
Plz help me the question is what is the volume of the prism in cubic centimeters
Answers
Answer:
120 cubic cm
Step-by-step explanation:
The Volume of a Triangular Prism = [tex]1/2Bh[/tex], where B = height x length of triangle, divided by 2 (because that's how we find the area of a triangle).
So the height of the triangle is 4 cm, and the length is 6 cm; 6 x 4 = 24, divided by 2 is = 12 cm.
Then the other H, the height of the triangular prism, is = 10 cm, and 12 x 10 is equal to 120 cm ^3.
Find the slope intercept form.
Answers
Answer:
y = 3x + 9
Step-by-step explanation:
y = 3x + 6
Parallel slope = 3
(-2, 3)
Slope-intercept:
y - y1 = m(x - x1)
y - 3 = 3(x + 2)
y - 3 = 3x + 6
y = 3x + 9
please someone help me on this daosjdoaisjfseughoe
Answers
Answer:7,500
Step-by-step explanation:
no way she gonna make 70 k in a year with that percentage
whats the answer? pls help,
x + 8 > 13 = ?
Answers
Answer:
x=5
Step-by-step explanation: