Answers
The Volume of the given Triangular Prism is calculated with the given parameters to be; 63 in³
What is the Volume of the Triangular Prism?
The formula for Volume of a Triangular Prism is;
V = ¹/₂a*c*h
where;
V is volume
a is height of prism
c is length of shorter side of base
h is length of longer side of base
Now, from the triangular prism we are given, we can see that;
a = 3.5 inches
c = 4 inches
h = 9 inches
Thus;
V = ¹/₂ * 3.5 * 4 * 9
V = 63 in³
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Related Questions
PLEASE HELP! this is probably easy, THANK YOU! please let me know if you can’t see properly it is a little hard to see thank you
Answers
We pp
Hi pp
You pp
7•7=1400
Design a pseudocode and the corresponding flow chart for calculating; the area of a circle,the perimeter of a rectangle, the perimeter of a square
Answers
See below for the pseudocode and the flowchart is added as an attachment
What is a pseudocode and a flowchart?Flowcharts and pseudocodes are used as prototypes of actual programs.
Flowcharts are in graphical form, while pseudocodes are in the form of texts.The flowchart and pseudocode do not conform to programming syntaxHow to design the pseudocode and the flowchart?Area of circle
The pseudocode is as follows:
StartInput radius, rCalculate Area, A = pi * r^2Display AreaStopPerimeter of rectangle
The pseudocode is as follows:
StartInput dimensions, l and bCalculate Perimeter, P = 2 * (l + b)Display PerimeterStopPerimeter of square
The pseudocode is as follows:
StartInput dimensions, lCalculate Perimeter, P = 4 * lDisplay PerimeterStopSee attachment for the flowcharts
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Justin runs at a constant rate, traveling 17 km in 2 hours.
Write an equation that shows the relationship between d, the distance he runs in kilometers, and h, the time he spends running in hours.
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The relationship between the distance that Justin runs, in kilometers, and the running time, in hours, is equal to d = (17 / 2) · t.
How to define the model to describe the distance travelled by Justin at a constant rate
In this problem we find that the distance that Justin runs (d), in kilometers, is directly proportional to the running time (t), in hours. That is:
d ∝ t
d = k · t
Where:
d - Distance, in kilometers.t - Time, in hoursk - Speed, in kilometers per hour.If we know that d = 17 km and t = 2 h, then the relationship between distance and time is described below:
k = 17 km / 2 h
k = 17 / 2 km / h
d = (17 / 2) · t
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a=96.5 rounded to 1 DP
b= 6.48 rounded to 2 DP
Find the maximum of a - b
Answers
Lowest possible value of b = 6.475
subtract this new value of b from a and you get 90.075
This is your answer.
Which table of ordered pairs represents a proportional relationship?
need this answer ASAP
Answers
Answer:
It's the 3rd one
Step-by-step explanation:
2x7=14 7x4=28 7x6=42
Answer:
The third table, since x/y = 7.
Simplify (2√5)²
Please help fast!
Answers
Answer:
20
Step-by-step explanation:
Simplify the following:
(2 sqrt(5))^2
Multiply each exponent in 2 sqrt(5) by 2:
2^2×5^(2/2)
2/2 = 1:
2^2×5
2^2 = 4:
4×5
4×5 = 20:
Answer: 20
HELP ASAP, ITS DUE TODAY AT MIDNIGHT!!!!! 92 POINTS!!!!!!!!!!!
Answers
The relationship is that number sense can be used to solve area models or partial products.
What is number sense?Number sense refers to a set of important numerical skills. It includes the capacity to comprehend numbers and concepts such as more and less. Some people have a better sense of numbers than others.
Number sense is a set of abilities that enable humans to work with numbers. These abilities are essential for performing math as well as many other jobs.
In this case, partial products model of multiplication. This is a model which breaks numbers down into their factors. or place values in order to make multiplication easier. This depicts number sense.
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what property does 5(a) = a(5) belong to?
Associative Property
Commutative Property
Inverse Property
Identity Property
Answers
Answer:
Commutative Property for Multiplication
Answer:
Commutative Property for Multiplication
Step-by-step explanation:
how many whole numbers are there between 121and176
Answers
TO KNOW HOW MANY WHOLE NUMBERS THERE ARE BETWEEN 121 AMD 176 WE CAN SIMPLY GET THEIR DIFFERENCE.
THE DIFFERENCE IS THE NUMBER OF WHOLE NUMBERS INBETWEEN 121 AND 176.
[tex] = 176 - 121 \\ = 55[/tex]
THERE ARE 55 WHOLE NUMBERS BETWEEN 121 AND 176.
Answer:
54
Step-by-step explanation:
Whole numbers are 0,1,2,3,... Following that pattern forever.
Take a simpler example. How many whole numbers between 2 and 5? It would be just 3 numbers; 3 and 4.
We could subtract 5-2 to get 3 and then subtract 1 more to get the answer of 3
What if I wanted to know the number of whole numbers between 3 and 7?
The numbers would be 4,5,6.
7-3 = 4 and then subtract 1 more to get the answer that there are 3 whole numbers between 3 and 7.
176 - 121 = 55 take one more away to get 54
Please help can’t figure out running out of time
Answers
The Inverse Function Line Test
A given graph represents a function only if for every value of x there is only one corresponding value of y.
This can be checked by using a vertical line and moving it through the x-axis. If that line intersects the graph more than once, then the graph does not correspond to a function.
The image shows a graph and if we move our imaginary vertical line from x=-2 to x=7 that line would intersect the graph only once. This means that the graph corresponds to a function in the domain [-2,7].
For the inverse function to exist, the horizontal line test must be passed.
Imagine a horizontal line moving through the y-axis. It would intersect the graph only once from y=0 to y=6.
We can conclude this graph corresponds to a function and it has an inverse function because it passed the horizontal line test.
Answer: D.
how do you find B and M in y = 9 - 5x ?
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For the linear function y = 9 - 5x, it is found that:
The coefficient M is the slope of M = -5.The coefficient B is the intercept of B = 9.How to identify coefficients m and b in a linear function?A linear function, in slope-intercept format, is modeled according to the following rule below:
y = mx + b
In which:
The coefficient m is the slope of the function, which is the rate of change of the function, that is, the change in y divided by the change in x.The coefficient b is the y-intercept of the function, which is the the value of y when the function crosses the x-axis(x = 0).In the context of this problem, the linear function is modeled as follows:
y = 9 - 5x.
In standard format, with the slope in front, we have that:
y = -5x + 9.
Meaning that the coefficients are given as follows:
m = -5, which is the slope of the function.b = 9, which is the intercept of the function.More can be learned about linear functions at https://brainly.com/question/24808124
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Help im litteraly failing
Answers
The solution to the given system of linear equations is x = 3, y = -3. That is, (3, -3)
The graph of the system of equations is shown below
Solving system of linear of linear equationsFrom the question, we are to determine the apparent solution to the given system of linear equations
The given system of equations is
y = -2x + 3
y = 1/3x - 4
Set the two equations equal
That is,
-2x + 3 = 1/3x - 4
Multiply through by 3
-6x + 9 = x - 12
Add 6x to both sides of the equation
-6x + 6x + 9 = x + 6x - 12
9 = 7x - 12
Add 12 to both sides of the equation
9 + 12 = 7x - 12 + 12
21 = 7x
x = 21/7
x = 3
Substitute the value of x into the first equation
y = -2x + 3
y = -2(3) + 3
y = - 6 + 3
y = - 3
The solution is (3, -3)
The graph is shown below
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What are the similarities and differences between these problems
Answers
Using an exponential function, it is found that:
The pool has 1106 gallons after 50 minutes.The poll will have less than 1000 gallons after 66.6 minutes.What is an exponential function?An exponential function is modeled according to the following rule:
[tex]y = ab^{\frac{x}{n}}[/tex]
In which:
a is the initial value.b is the rate of change.n is the period of the change of change.Considering that the pool has 1500 gallons, and drains 3% every 5 minutes, the parameters of the function are given as follows:
a = 1500, b = 1 - 0.03 = 0.97, n = 5.
Hence the amount of water in the poll after x minutes is given by:
[tex]y = 1500(0.97)^{\frac{x}{5}}[/tex]
After 50 minutes, the amount of water in the pool is:
[tex]y = 1500(0.97)^{\frac{50}{5}} = 1500(0.97)^{10} = 1106[/tex]
1106 gallons.
The poll will have less than 1000 gallons when:
y = 1000 (we can use it because the function decreases continuously).
Hence:
[tex]1500(0.97)^{\frac{x}{5}} = 1000[/tex]
[tex](0.97)^{\frac{x}{5}} = \frac{1000}{1500}[/tex]
[tex](0.97)^{\frac{x}{5}} = \frac{2}{3}[/tex]
[tex]\log{(0.97)^{\frac{x}{5}}} = \log{\left(\frac{2}{3}\right)}[/tex]
[tex]\frac{x}{5}\log{0.97} = \log{\left(\frac{2}{3}\right)}[/tex]
[tex]x = 5\frac{\log{\left(\frac{2}{3}\right)}}{\log{(0.97)}}[/tex]
x = 66.6 minutes.
What is the missing information?The capacity of the pool is missing, and it is of 1500 gallons.
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Rewrite 7x + 49 using a common factor.
Here are some options it gave me.
(A) . 7(x + 7)
(B). 7(x + 49)
(C). 7x(x + 7)
(D). 7x(x + 49)
Answers
7x + 49 rewritten using common factor is 7(x + 7)
How to find common factors?A common factor is a whole number which is a factor of two or more numbers.
In other words, common factors of two or more numbers are a number which divides each of the given numbers exactly.
For example the common factor of 24 and 36 are 1, 2, 3, 4, 6 and 12.
Therefore,
rewriting 7x + 49 using common factors is as follows:
7x + 49 = 7(x + 7 )
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Find the ordered pair (x,y) 6x-y=6
Answers
Answer:
Step-by-step explanation:
(1,0),(2,6). Explanation: express the equation, giving y in terms of x. ⇒y=6x−6. now choose any value for x , substitute into the equation
The festival of Midnight Sun Theatre has 7875 seats arranged in 75 equal rows. How many seats are in each row?
Answers
Answer:
105 cause you will divide to get the total
There are 2 different maps of North Carolina. The scale on the first map is 1 cm to 2 km. The distance from Durham to Cary is 15 cm. The scale of the second map is 1 cm to 5 km. What is the distance from Durham to Cary on the second map
Answers
The distance from Durham to Cary on the second map is 75 km
The scale of the first map:
1 cm = 2 km
The scale of the second map:
1 cm = 5 km
Map scale: A distance on a map and its corresponding distance on the planet are related by a scale. The equivalent of a map scale can be expressed, typically using different units. or visually, using a bar scale.
Distance from Durham to Cary = 15 cm
Distance from Durham to Cary on the second map = Scale of the second map * Distance from Durham to Cary
= 5*15
= 75 km
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To enroll in lessons to learn about pottery wheel throwing, you must pay an rollment of $20 for each lesson. The pottery studio also charges you $2.99 pe pound for the amount of clay used.To enroll in lessons to learn about pottery wheel throwing, you must pay an enrollment of $20 for each lesson. The pottery studio also charges you $2.99 per pound for the amount of clay used. Write an expression for the total cost of a person using c pounds of clay during a lesson. Use the expression to calculate the cost of a lesson where Sam uses 3.5 pounds of clay.
Answers
Answer:
cost per day = 2.99(c)+20
sam's lessons cost $30.47 per day
Step-by-step explanation:
2.99 (price of clay used per pound) * c (pounds of clay used) + 20 (cost of lesson)
2.99(c)+20
since sam uses 3.5 pounds of clay per lesson that's 2.99(3.5)+20, which is equal to 30.47
Which one doesnt belong
Answers
Answer:
267 times 6
Step-by-step explanation:
All answers equal 182 besides 27 x 6, which equals 162
HELP ASAP NEEDS TO BE DONE BEFORE TONIGHT
Answers
The equation of the straight line is 3y + 2x = 15
The generic form of a straight line, Ax + By = C, is also the typical form for two-variable linear equations.
Standard form is used, for instance, in the linear equation 4x+7y= 1. This method makes it easy to find the two intercepts (x and y) of an equation.
Y = mx + c is the cartesian equation for a straight line, where m denotes the gradient or slope of the line and c denotes the location of its y-axis intersection.
Two geometrical objects are perpendicular if they cross at a right angle.
We are aware that the product of the slopes of two lines when they are perpendicular equals -1.
The given straight line is of the form y =3/2 x - 1 .
Slope of the straight line = 3/2
Slope of the perpendicular(90°) line (m) = -2/3
The equation of a line is formulated by :
y -y₁ = m (x - x₁ )
The straight line passes through (-3 , 7)
∴y - 7 = -(2/3) (x + 3 )
or, -2x - 6 = 3y - 21
or, 3y + 2x = 15
Therefore the equation of the straight line is 3y + 2x = 15 .
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In one year, a school uses 11,280 pieces of white paper, 3,580 fewer pieces of blue paper than white paper, and 3,600 fewer pieces of yellow paper than blue paper. how many pieces of paper does the school use in all?
Answers
The school uses a total of 23,080 pieces of paper in one year.
To calculate the total number of pieces of paper used by the school we use addition. We also use subtraction to find the pieces of blue paper and yellow paper.
As the pieces of blue paper are 3580 fewer than white paper, we find the pieces of blue paper by subtracting 3580 from 11,280.
blue paper = 11280 - 3580 = 7700
As the pieces of yellow paper are 3600 fewer than blue paper, we subtract 3600 from the total number of pieces of blue paper.
Yellow paper = 7700 - 3600 = 4100
Now, the total number of pieces can be found by the addition of white, blue, and yellow pieces of paper.
Total pieces = White papers + Blue papers + Yellow papers
Total pieces = 11,280 + 7700 + 4100
Total pieces = 23,080
Therefore, 23,080 pieces of paper were used by the school in one year.
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Which statement cannot be assumed based on the diagram?
A) <GBE and <DBC are adjacent
B) <DBC is vertical to <FDE
C) <EDF and <EDC are adjacent
D) <ABG and <GBD are adjacent.
help please :)
Answers
The statement that cannot be assumed based on the diagram is ∠DBC is vertical to ∠FDE.
(A) ∠GBE and ∠DBC are adjacent angles. As we can see from the diagram, they have a common ray starting from the point B.(B) We cannot say that ∠DBC is vertical to ∠FDE from the diagram as we have no such direct relation between the angles.(C) ∠EDF and ∠EDC are adjacent angles. As we can see from the diagram, they have a common ray starting from the point D.(D) ∠ABG and ∠GBD are adjacent angles. As we can see from the diagram, they have a common ray starting from the point B.To learn more about angles, visit :
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Find the surface area of the figure
Answers
To find it we can use the area of triangle formula to find one of the triangle and multiply it by 4.
6*6/2 = 36/2 = 18
Then multiply 4
18 * 4 = 72 in^2
2) Next find the surface area of the square.
B * H
6 * 6 = 36
3) Add the 4 triangle sides and the square together to find the surface area.
36 + 72 = 108 in^2
The answer is 108 in^2
What Property’s are used in each step?
Step 1 5x+9+5x+12=(5x+9)+(5x+12)
Step 2 = 5x+(9 +5x)+12
Step 3 = 5x+(5x+9)+12
Step 4 =(5x+5x)+(9+12)
Step 5 = (5 + 5)x+ (9 + 12)
Step 6 = 10x + 21
Answers
The property used is Distributive property
What is Distributive property ?
The distributive property states that multiplying the sum of two or more addends by a number yields the same outcome as multiplying each addend separately by the number and combining the resulting products.
Given, equation
5x+9+5x+12
Step 1 =(5x+9)+(5x+12)
Step 2 = 5x+(9 +5x)+12
Step 3 = 5x+(5x+9)+12
Step 4 =(5x+5x)+(9+12)
Step 5 = (5 + 5)x+ (9 + 12)
Step 6 = 10x + 21
The property used in this equation is called Distributive property
Hence, the property use in here Distributive property
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There are 15 squares and 6 triangles. What is the simplest ratio of triangles to total shapes?
Answers
Answer: 2:7
Step-by-step explanation:
[tex]\displaystyle\\\frac{6}{15+6} =\\\\\frac{6}{21} =\\\\\frac{2(3)}{7(3)} =\\\\\frac{2}{7} =\\\\2:7[/tex]
The ratio of triangles to total shapes in simplest form is 2 : 7.
What are ratio and proportion?A ratio is a comparison between two similar quantities in simplest form.
Proportions are of two types one is the direct proportion in which if one quantity is increased by a constant k the other quantity will also be increased by the same constant k and vice versa.
In the case of inverse proportion if one quantity is increased by a constant k the quantity will decrease by the same constant k and vice versa.
Given, There are 15 squares and 6 triangles.
Therefore, The total number of shapes is (15 + 6) = 21.
So, The ratio of triangles to total shapes is,
triangle/total shapes = 5/15 + 6.
triangles/total shapes = 6/21.
triangles : total shapes = 6 : 21 = 2 : 7
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A scientist needs 1.8 liters of a 22% alcohol solution. She has available a 33% and a
17% solution. How many liters of the 23% and how many liters of the 17%
solutions should she mix to make the 22% solution?
Answers
Step-by-step explanation:
the approach of the other answer is basically correct, but we need to use the correct numbers.
so, I assume that the 33% of the first solution is correct, and not the 23% mentioned later.
x = liters of the 33% solution.
y = liters of the 17% solution.
we know that
x + y = 1.8
and therefore
x = 1.8 - y
and then we want to enforce the desired result (ab% are simply 0.ab)
0.33x + 0.17y = 0.22×1.8
we use the identity from above in this equation :
0.33(1.8 - y) + 0.17y = 0.396
0.594 - 0.33y + 0.17y = 0.396
0.198 - 0.16y = 0
0.198 = 0.16y
y = 1.2375 liters
x = 1.8 - y = 1.8 - 1.2375 = 0.5625 liters
if the first solution is truly only 23%, then we only need to change the number :
0.23(1.8 - y) + 0.17y = 0.396
0.414 - 0.23y + 0.17y = 0.396
0.018 - 0.06y = 0
0.018 = 0.06y
y = 0.3 liters
x = 1.8 - y = 1.8 - 0.3 = 1.5 liters
Determine whether the graph is linear or non linear and explain
Answers
The given graph represents a non-linear function.
What are linear and non-linear functions?When a function is plotted on a graph, a linear function produces a straight line, whereas a nonlinear function does not (it is curved in some way). While the slope of a nonlinear function is continuously changing, the slope of a linear function is constant.Take two points in the graph and calculate the slope:
Slope of (-2,1) and (0,2) = (2-1)/(0-(-2) = 1/2
Slope of (2,1) and (0,2) = (2-1)/(0-2) = 1/(-2)
As the slope of the given graph is variable, it is a non-linear function.
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write the fraction for the following
Answers
b. 3/5
c. 4/9
d. 3/3
Answer:
A- 2/4
simplified-1/2
B- 3/5
C- 4/9
D-3/3 which=1
so basically D is 1
hope this helped
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Step-by-step explanation:
is 120% reduction or enlargement
Answers
120% is considered an enlargement since the scale factor is greater than one.
What is an equation?An equation is an expression that shows the relationship between two or more numbers and variables.
Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.
It is considered a reduction of the scale factor is less than one, and an enlargement if the scale factor is greater than one.
120% = 1.2 > 1, hence an enlargement.
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the probability that a randomly chosen student in a statistics class submits his/her homework on time is 0.06. each student does homework independently. in a statistics class of 50 students, what is the probability that at least 5 will do their homework on time?
Answers
the probability that at least 5 will do their homework on time in a class of 50 students is 0.1
How do you calculate probability?
Probability is calculated by dividing the number of ways the event can occur by the total number of outcomes. Probability and odds are different concepts. Odds are the probability that something happens divided by the probability that it doesn't happen.
the probability that a randomly chosen student in a statistics class submits his/her homework on time is 0.06.
each student does homework independently.
in a statistics class of 50 students, what is the probability that at least 5 will do their homework on time?
probability = event occur/ total number of outcomes
= 5/50= 1/10=0.1
thus the probability becomes 0.1
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