a right triangular prism has a triangular base with legs of 5 centimeters and 12 centimeters and a hypotenuse of 13 centimeters. what is the surface area in square centimeters if the height is 2 centimeters?
Answers
The surface area of the right triangular prism with legs of 5 centimeters and 12 centimeters, a hypotenuse of 13 centimeters, and a height of 2 centimeters is 108 square centimeters.
Surface area refers to the total area of the surface of a three-dimensional object. When it comes to a right triangular prism, the surface area includes the area of all six faces.
Let's call the height of the triangular prism "h" and label the legs of the triangle "a" and "b". Using these values, we can find the area of the base of the triangular prism. The area of a right triangle is equal to 1/2 times the product of the legs, so the area of the base is
=> (1/2) * a * b = (1/2) * 5 * 12 = 30 square centimeters.
Next, we need to find the surface area of each of the three lateral faces. Each of these faces is a rectangle, so we can find the area by multiplying the height of the prism by the length of one of the sides of the triangle base.
The length of one side of the triangle base is equal to the hypotenuse, which is 13 centimeters. So, the surface area of each of the three lateral faces is
=> h * 13 = 2 * 13 = 26 square centimeters.
Finally, we can find the total surface area by adding the surface area of the base and the surface area of the three lateral faces.
The surface area of the base is 30 square centimeters, and the surface area of each lateral face is 26 square centimeters, so the total surface area is
=> 30 + 3 * 26 = 30 + 78 = 108 square centimeters.
To know more about surface area here.
https://brainly.com/question/27784309
#SPJ4
Related Questions
Does anyone know the answer to this question?
Answers
Answer:
2, -7, 3 are your answers! :).
Step-by-step explanation:
The opposite of a positive would be it's negative form, and the opposite of a negative would be it's positive form.
PLEASE ANSWER ASAP!!! 45 POINTS!
Answers
Answer:
x =2 \(\\\sqrt{24\)
Step-by-step explanation:
a2+b2=c2
(10*10)+(8*8)=x
Translate the verbal phrase into an expression.
one half of the sum of a number m and 44
Twelve less than twice a number y
Answers
Answer:
1: 1/2(m+44) or (m+44)/2
2: 2y-12
What is (3 x 10^3) / (12 x 10^6)
Answers
Answer:
(3 x 10^3) / (12 x 10^6) = 0.00025
What is the slope of the line that passes through the points (-2,4) and (3, -2)? need answers Fast!
Answers
Answer:
guchahdhxjvabdnx
Step-by-step explanation:
guvnhsnvcjbcgn
If A is a 9x6 matrix, what is the largest possible dimension of the row space of A? If A is a 6x9 matrix, what is the largest possible dimension of the row space of A? Explain.
Answers
If A has rank 6, then it has 6 linearly independent rows and its row space has dimension 6. If the rank of A is less than 6, then the dimension of the row space will be less than 6.
The row space of a matrix is the span of its row vectors. Therefore, the dimension of the row space is equal to the number of linearly independent rows of the matrix.
For a 9x6 matrix A, the largest possible dimension of the row space is 6. This is because there can be at most 6 linearly independent rows in a 9x6 matrix. If there were more than 6 linearly independent rows, then the matrix would have rank greater than 6, which is impossible since the maximum rank of a 9x6 matrix is 6.
For a 6x9 matrix A, the largest possible dimension of the row space is also 6. This is because the number of linearly independent rows cannot exceed the number of columns in the matrix.
Therefore, if A has rank 6, then it has 6 linearly independent rows and its row space has dimension 6.
However, if the rank of A is less than 6, then the dimension of the row space will be less than 6.
Know more about the linearly independent rows
https://brainly.com/question/31086895
#SPJ11
Consider a closed economy to which the Keynesian-cross analysis applies. Consumption is given by the equation C 200 +2/3(Y- T). Planned investment is 300, as are government spending and taxes. a. If Yis 1,500, what is planned spending? What is inventory accumulation or decumulation? Should equilibrium Ybe higher or lower than 1,500? b. What is equilibrium Y? (Hint: Substitute the values of equations for planned consumption, investment, and government spending into the equation Y-C++ G and then solve for Y.) c. What are equilibrium consumption? d. How much does equilibrium income decrease when G is reduced to 200? what is the multiplier for government spending?
Answers
The mean value of the given data set is 31.333. To find the mean value of the given data set (10, 10, 20, 26, 30, X), we first need to determine the missing value, denoted as X, using the given range of 40.
Since the range is the difference between the maximum and minimum values, we can set up the equation:
Maximum value - Minimum value = Range
X - 10 = 40
Solving for X, we find X = 50.
Now that we have the complete data set (10, 10, 20, 26, 30, 50), we can calculate the mean. Summing up all the values and dividing by the total number of values (6), we find the mean to be 31.333 (rounded to three decimal places).
In conclusion, the mean value of the given data set is 31.333.
Learn more about calculating the mean here: brainly.com/question/30891252
#SPJ11
Parallelogram JKLM is shown.
Parallelogram JKLM is divided into 4 triangles by K M and J L which intersect at point R. Angle L M K is 72 degrees, angle K J L is 56 degrees, and angle J M K is 27 degrees.
If KR = x + 7, KM = 3x − 5, and JL = 4x − 10, what are the values of x and JR?
Answers
The measure of x and JR are 19 and 33 respectively
From the given parallelogram,
KM = 2KR
Given the following
KM = 3x - 5KR = x + 7Hence;
3x - 5 = 2(x+7)
3x - 5 = 2x + 14
3x - 2x = 14 + 5
x = 19
Similarly, JL = 2JR
JR = JL/2
JR = 4x-10/2
JR = 4(19)-10/2
JR = 66/2
JR = 33
Hence the measure of x and JR are 19 and 33 respectively
Learn more on parallelograms here: https://brainly.com/question/1834702
Answer: 19 and 33
Step-by-step explanation: best of luck to all - Logan Hunter
A right triangle has leg lengths of 10 cm and 12 cm. Which of the following is an acute angle in that right triangle?
30
60
45
50
∘
Answers
Answer:
a + b + c= 90
30+30+30=90
90=90.
30 is the ans
Answer:
Step-by-step explanation:
50 degree
What is the area of the frame in square units around the picture?
Enter the expression in the box.
Answers
L*B=8*4s=32s
72s-32s=40s
mary is selling thread bracelets to raise money for the animal shelter. she has been pricing them at $2.25, but reduced the price to $2.00 when they weren't selling. By what percent did she decrease the sale price of the bracelets?
Answers
Nakeisha is raising money for a school trip by selling lollipops and fruit snacks. The price of each lollipop is $1.50 and the price of each fruit snack is $1.25. Yesterday Nakeisha made $18.25 from selling a total of 13 lollipops and fruit snacks. Determine the number of lollipops sold and the number of fruit snacks sold.
Answers
Nakeisha sold 8 lollipops and 5 fruit snacks to make a total of $18.25.
To solve this problemLet's fix this issue using a set of equations. Assume that x is the quantity of lollipops sold and y is the quantity of fruit snacks sold.
Then we have two equations based on the information given:
x + y = 13.(Total number of fruit snacks and lollipops sold)
1.5x + 1.25y= 18.25 (total amount of money earned)
To solve for x and y, we can use the substitution method :
x + y = 13 (equation 1)
1.5x + 1.25y = 18.25 (equation 2)
From equation 1, we have x = 13 - y. Substituting this into equation 2, we get:
1.5(13 - y) + 1.25y = 18.25
Simplifying and solving for y, we get
19.5 - 0.25y = 18.25
-0.25y = -1.25
y = 5
Nakeisha therefore sold 5 fruit treats. We may change y = 5 into equation 1 and solve for x to get the quantity of lollipops sold:
x + 5 = 13
x = 8
Therefore, Nakeisha sold 8 lollipops and 5 fruit snacks to make a total of $18.25.
Learn more about substitution method here : brainly.com/question/26094713
#SPJ1
John is saving to buy a new car that will cost him $24,000. John started his savings at the beginning of the school year and has been able to accumulate $1000 after the first month. John plans to continue his savings at a rate proportional to the amount he still needs to save. Determine John's savings amount as function of time Hint: A variable y is said to be proportional to a variable x if y=cx for some constant c.
Answers
John's savings amount as a function of time is S(t) = $24,000 / 25. Initially, he needs to save $24,000 for a new car. After the first month, he has saved $1,000. The savings amount is directly proportional to the time elapsed. The constant of proportionality is 1/24. Thus, John's savings amount can be determined based on the remaining amount he needs to save.
John's savings amount can be represented as a function of time and is proportional to the amount he still needs to save. Let's denote the amount John needs to save as N(t) at time t, and his savings amount as S(t) at time t. Initially, John needs to save $24,000, so we have N(0) = $24,000.
We know that John has saved $1,000 after the first month, which means S(1) = $1,000. Since his savings amount is proportional to the amount he still needs to save, we can write the proportionality as:
S(t) = k * N(t)
where k is a constant of proportionality.
We need to find the value of k to determine John's savings amount at any given time.
Using the initial values, we can substitute t = 0 and t = 1 into the equation above:
S(0) = k * N(0) => $1,000 = k * $24,000 => k = 1/24
Now we have the value of k, and we can write John's savings amount as a function of time:
S(t) = (1/24) * N(t)
Since John's savings amount is proportional to the amount he still needs to save, we can express the amount he still needs to save at time t as:
N(t) = $24,000 - S(t)
Substituting the expression for N(t) into the equation for S(t), we get:
S(t) = (1/24) * ($24,000 - S(t))
Simplifying the equation, we have:
24S(t) = $24,000 - S(t)
25S(t) = $24,000
S(t) = $24,000 / 25
Therefore, John's savings amount at any given time t is S(t) = $24,000 / 25.
To know more about proportional savings, refer here:
https://brainly.com/question/29251832#
#SPJ11
Determine whether the graph of the quadratic function y = –2x2 – 4x + 4 opens upward or downward. Explain.
Answers
The quadratic function y = -2x² - 4x + 4 opens downward because the coefficient of x² is negative.
How to Determine if a Graph of a Quadratic Function Opens Upward or Downward?The graph of a quadratic function of the form y = ax² + bx + c opens upward if the coefficient 'a' is positive, and opens downward if the coefficient 'a' is negative.
In the given quadratic function, y = -2x² - 4x + 4, the coefficient 'a' is -2, which is negative. Therefore, the graph of this function opens downward.
To see why this is the case, note that the graph of a quadratic function is a parabola, and the sign of the coefficient 'a' determines the direction in which the parabola opens. When 'a' is negative, the quadratic function has a maximum point, which means that the graph opens downward.
On the other hand, when 'a' is positive, the quadratic function has a minimum point, which means that the graph opens upward.
Learn more about the graph of a quadratic function on:
https://brainly.com/question/31190936
#SPJ1
A compact disc cover is 14 centimeters (cm) long, 12.4cm wide, and 1 cm deep. Which of the following represents the surface area of the cover?
Answers
Answer:
SA= 2(l x w) |+2(l x h)+2(h x w)
= 2(14 x 12.4) +2(14 x 1)+2(1x 12.4)
=2(173.6)+2(14)+2(12.4)
=347.2|+28+24.8
Surface area is: 400 cm square
Step-by-step explanation:
i'm sorry i keep asking all of you guys these questions i am not good at all when it comes to math
Answers
Answer:
qurl or guy where is the question?
Step-by-step explanation:
A sculptures height will be 563 ft find the height in meters. 1 meter = 3.28 ft
Answers
Answer:
≈171.646341 meters
Step-by-step explanation:
(563ft/x m)(3.28ft/1 m)
Answer should be around 171.646341 meters
You can also round to whichever decimal place the question asks for.
when the area of an expanding circle is increasing three times as fast as its radius (in centimeters), what is the radius?
Answers
Radius is 3/2πr when the area of an expanding circle is increasing three times as fast as its radius (in centimeters)
Define area of circle.The region encircled by a circle with radius r is known as r2 in geometry. Here, the Greek letter stands for the constant proportion of a circle's circumference to its diameter, which is roughly equivalent to 3.14159. The circumference of a circle is pi times the diameter, or 2 pi times the radius, according to the traditional definition of pi, which is the ratio of a circle's circumference to its diameter. This demonstrates geometrically that the area of a circle is indeed "pi r squared".
Given,
Area of circle = πr²
A = πr²
Differentiating,
dA/dt = 2πr × dr/dt
Given,
The area of an expanding circle is increasing three times as fast as its radius (in centimeters),
dA/dt = 3 dr/dt
To find radius,
3 dr/st = 2πr dr/dt
Cancelling dr/dt
3 = 2πr
r = 2πr
To learn more about area of circle, visit:
https://brainly.com/question/28642423
#SPJ4
whats 3p times 20324
Answers
Answer:
60972p
Step-by-step explanation:
3 × 20324 = 60972
60972p
Pls consider marking me as Brainliest! It would mean a lot!
Which choice is NOT a fillet type in SOLIDWORKS? constant size variable size faceangled
Answers
The correct option is (d) Angled. Among all (constant size, variable size, face, angled) The Angled is NOT a fillet type in SOLIDWORKS.
SOLIDWORKS has 3 types of fillets: constant size, variable size, and face. Constant size fillets have a constant radius applied to all edges of the selected face or faces. Variable size fillets allow the user to customize the radius of each edge. Face fillets are used to create a smooth transition between two faces.
All three types of fillets create a smooth transition between the edges and faces of a 3D model. Angled is not a type of fillet in SOLIDWORKS, but rather it is a type of chamfer, which is a type of edge treatment that creates an angled edge rather than a smooth transition. Chamfers can be used to create sharp corners or to break up the edges of a 3D model.
To know more about Chamfers:
brainly.com/question/883430
#SPJ4
one of the five quadratics below has a repeated root. (the other four have distinct roots.) what is the repeated root? \begin{align*}
Answers
Form the given five quadratics , the one representing the repeated roots is equal to option d. 25x² - 30x + 9 and repeated roots are 3/5 or 3/5.
Quadratics representing repeated roots has discriminant equals to zero.
Standard quadratic equation is:
ax² + bx + c = 0
Discriminant 'D' = b² - 4ac
option a. -x²+ 18x + 81
Discriminant
'D' = 18² - 4(-1)(81)
= 324 + 324
= 648
D>0 has distinct roots.
option b. 3x²- 3x - 168
Discriminant
'D' = (-3)² - 4(-3)(-168)
= 9 - 2016
= -2007
D< 0 has distinct roots.
option c. x²- 4x - 4
Discriminant
'D' = (-4)² - 4(1)(-4)
= 16 + 16
= 32
D>0 has distinct roots.
option d. 25x²- 30x + 9
Discriminant
'D' = (-30)² - 4(25)(9)
= 900 - 900
= 0
D = 0 has repeated roots.
Repeated roots are:
x = ( -b ±√D ) / 2a
= [-(-30)±√0 ]/ 2(25)
= 30/ 50
= 3/5.
option e. x² - 14x + 24
Discriminant
'D' = (-14)² - 4(1)(24)
= 196 - 96
= 100
D>0 has distinct roots.
Therefore, the quadratics which represents the repeated roots are given by option d. 25x² - 30x + 9 and its repeated roots are 3/5 or 3/5.
The above question is incomplete, the complete question is:
One of the five quadratics below has a repeated root. (There other four have distinct roots.) What is the repeated root?
a. -x²+ 18x + 81
b. 3x² - 3x - 168
c. x² - 4x - 4
d. 25x² - 30x + 9
e. x² - 14x + 24
learn more about quadratics here
brainly.com/question/22364785
#SPJ4
The perimeter of a soccer field is 328 m. The length is 36 m greater than the width. What are the length and width of the soccer field?
A. length: 64 mwidth: 100 m
B. length: 164 mwidth: 128 m
C. length: 100 mwidth: 64 m
D. length: 109 mwidth: 73 m
Answers
Correct Option is C. Length: 100 m, Width: 64 m.
Let's denote the width of the soccer field as "w" in meters. Since the length is 36 meters greater than the width, we can represent the length as "w + 36" meters.
The perimeter of a rectangle is given by the formula P = 2(length + width). In this case, we have:
328 = 2((w + 36) + w)
328 = 2(2w + 36)
328 = 4w + 72
4w = 328 - 72
4w = 256
w = 256/4
w = 64
Therefore, the width of the soccer field is 64 meters.
To find the length, we can substitute the value of the width into the expression for the length:
Length = Width + 36
Length = 64 + 36
Length = 100
Therefore, the length of the soccer field is 100 meters.
The correct answer is C. Length: 100 m, Width: 64 m.
Learn more about Length here:
https://brainly.com/question/2497593
#SPJ11
a certain phone company charges $4.50 for the first five minutes of an international phone call. additional time is charged at $.50 per minute. how much would a customer be charged for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day?
Answers
A customer would be charged $ 52 for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day.
Charge for first 5 charged = $ 4.50
Charge for additional time = $ 0.50 per minute
Starting time = 9:35 p.m.
End time = 11:15 p.m.
Total minutes = 100 minutes
Total charge = 4.50 + (95 x 0.50)
= 4.50 + 47.50
= 52.00
Hence, a customer would be charged $ 52 for an international phone call that started at 9:35 p.m. and ended at 11:15 p.m. the same day i.e. for 100 minutes.
To learn more about charged here:
https://brainly.com/question/3412043
#SPJ4
Which of the following options have the same value as 62\%62%62, percent of 454545
Answers
Answer:
Here, the given expression is,
62 % of 45
( 1 % = )
( Dividing 62 by 100 )
Hence, Option A and C are correct
Graph 16x - 4y = 12
(You can only graph on the given points)
*NO IN BETWEEN*
Answers
Step-by-step explanation:
16x - 4y = 12
4x - y = 3
4x = 3+y
x= 3+y/4
for y = 1
x= 3+1/4 = 1
y = 2
x=3+2/4 = 5/4 = 1.25
y = 3
x = 3+3/4 = 6/4 = 1.5
i just need part two. part one is 20, also please explain the answer for part two.
Please help its worth 100 points and its just pre-algebra
Answers
Answer:
Part 2: 120 degrees
Step-by-step explanation:
Line SY and TZ are parallel and they are being cut by a transversal. Alternate interior angles are congruent, so the angle SVW is also equal to 3x. A straight angle forms 180 degrees. so 6x+3x=180
9x=180
x=20
Angle YVW is 6x, so 6 times 20 is 120
What is the absolute value of -5
Answers
Answer:
5
Step-by-step explanation:
Camden invested $260 in an account paying an interest rate of 4-1/8 % compounded annually. Evan invested $260 in an account paying an interest rate of 3-7/8 compounded continuously. After 13 years, how much more money would camden have in his account than Evan, to the nearest dollar
Answers
Answer:
$5500
Step-by-step explanation:
SOMEONE PLEASE HELP!!
Answers
Answer:
x = 18
Step-by-step explanation:
the sum of any exterior angle is equal to the sum of any two interior angles
3x-11 + 5x+14 = 9x-15
8x + 3 = 9x - 15
3 = x - 15
x = 18
2. What is the rule for this input-output table?
Answers
Answer:
First, this table is a function because it has no repeating input values
Second, it is increasing in both the x and y
third, since it is increasing in x and y it is a positive correlation( I dont know if you have learned that yet)
Fourth, the output increases by 4 each time the input increases by 1
Step-by-step explanation: