Please solve this problem (surface area). With work bc my teacher said I need to show work with my answer
Answers
The triangular faces are congruent, so they have the same area. We calculate one and we'll know both.
The three rectangles are different.
Triangular face (each)
Although you can hardly see in the colored figure, there is a small symbol on the right side showing that the 4 km side and the 3 km side of the triangles are perpendicular. That means those sides are the base and the height.
A = (1/2)bh = (1/2)(3 km)(4 km) = 6 km^2
Rectangular faces:
A = LW = 7 km * 3 km = 21 km^2
A = LW = 7 km * 5 km = 35 km^2
A = LW = 7 km * 4 km = 28 km^2
total surface area = 2 * 6 km^2 + 21 km^2 + 35 km^2 + 28 km^2
total surface area = 96 km^2
Related Questions
PLEASE HELP WILL GIVE BRAINLIEST AND 20 POINTS
The surface area of a square pyramid is 136 square inches. The base length is 4 inches. What is the slant height?
Answers
The side length of the base is 4. Find the surface area of the base only by squaring the side length - 4² - which is 16. The surface area of the base is 16 in².
The surface area of the entire pyramid can be found using this equation:
[tex]SA = B + \frac{1}{2} nbl[/tex]
Where:
- SA is the surface area (136 square inches)
- B is the area of the base (16 square inches)
- n is the number of triangles (4, because it's a square pyramid)
- b is the base length (4 inches)
- l is the slant length
Note that we have many parts of this equation, and all we need is the slant length. So, let's format the equation with what we have:
[tex]136 = 16 + \frac{1}{2} * 4 * 4 * l[/tex]
So then we want to solve for l, the slant height. So, start by subtracting 16 from each side. This would give us:
[tex]120 = \frac{1}{2} * 4 * 4 * l[/tex]
Now, multiply both sides by 2 to get rid of the fraction:
[tex]240 = 4 * 4 * l[/tex]
Finally, divide both sides by four, twice (divide by 16):
[tex]15 = l[/tex]
So, we know that the slant height of this pyramid is 15 inches.
hali invested money into an account that is guaranteed to grow$28 each year. she graphs a line that represents the growth of the account. with x representing the number of years since she first opened the account and y representing the number of dollars in it. what is the slope of the line?
Answers
gradient of the graph/ slope (m) = Change in y / change in x
so if we take a certain portion of the graph
x is the number of years, since we know the growth for one year,
lets take change in x as 1 year
y is amount of dollars, the change in amount of dollars for one year is 28
therefore change in y is 28
m(slope) = 28(change in y) / 1 (change in x)
= 28
determine the measure of angle bpc in the figure
Answers
angle CPD = 38°
agian,
angle BPC + angle CPD = 90° ( sum of complementary angles)
or, angle BPC + 38 = 90
or, angle BPC = 90 - 38
or, angle BPC = 52°
therefore BPC = 52
The table of values represents a quadratic function.
What is the average rate of change for f(x) from x = 0 to x = 10 ?
x f(x)
−10 184
−5 39
0 −6
5 49
10 204
Answers
The average rate of change on the interval is 21.
The average rate of change for any function f(x) is the ratio of change in its y-values to change in its x-values for any two particular points on the curve of the function f(x). Mathematically, we can write it as follows :-
Average rate of change = [tex] \frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1}} [/tex]
It says to find the average rate of change from x = 0 to x = 10.
From the given table, x = 0 corresponds to y = f(0) = -6 and x = 10 corresponds to y = f(10) = 204.
So we have two points A(0, -6) and B(10, 204).
Using the above formula, we can find average rate of change from A to B.
Average rate of change from (0, -6) to (10, 204) = [tex] \frac{204-(-6)}{10-0} =\frac{204+6}{10} = \frac{210}{10} =21 [/tex]
Hence, the final answer is 21.
which is most likely the equation of the line shown on the graph?
Answers
The slope is up one, over one.
The equation for this line would be
y = 1/1x + 3
which is equal to
y = x + 3
Hope this helps!
Answer:
The equation of line is y=x+3.
Step-by-step explanation:
Consider the provided graph.
The slope intercept form of a line is:
y=mx+c
Where m is the slope and c is the y intercept.
y-intercept is a point where the value of x is 0.
From the provided graph we can identify the y intercept of the line is 3. Because at (0,3) the value of x is 0.
Now find the slope of line as shown
[tex]m = \frac{Rise}{Run}[/tex]
Here for 1 unit of run the graph rise 1 unit, thus the slope of the line is:
[tex]m = \frac{1}{1}=1[/tex]
Now substitute the value of m and c in the slope intercept form.
y=x+3
Hence, the equation of line is y=x+3.
Find 22,23,24,25 and I’ll give you 25 points
Answers
22. 3*(6.1 m)*(7 m) = 128.1 m^2
23. 3*(11.3 in)*(13 in) = 440.7 in^2
24. 3*(9.5 ft)*(11 ft) = 313.5 ft^2
25. The area ratio is the square of the linear dimension ratio: (3/4)^2 = 9/16.
create a sketch of the graph of a function whose gradient is linear and that gradient has an x-intercept at x=4
Answers
Alexandra spent her birthday on a video game that cost $24, a controller for $13, and a memory card for $16. there total tax was $3. what is a subtraction equation for finding how much she gave alexandraif she received $4 in change
Answers
so if the total was 56 and the cashier gave her 4$ of change back then she gave 60$ in total
60 - 56 = 4
she gave 60$ in total
bottle of a chemical solution that contains 75% alcohol. The bottle contains 500 milliliters of solution. How many milliliters of alcohol are in the solution?
Answers
Answer:
500 x 0.7 = 350 I hope it helps
Step-by-step explanation:
The length of the bed is 9 feet and 6 inches. The sheet is made for a bed that is 79 inches. How short is the sheet?
Answers
9 * 12 = 108 + 6 = 114 inches ( length of the bed)
114 - 79 = 35 inches too short
Answer:
its 2 feet and 11 inches
Step-by-step explanation:
Drag each tile to the table to multiply (6x-y)(2x-y+2)
Answers
The product of (6x - y)(2x - y + 2) is 12x² + y² -8xy + 12x -2y
The required table to multiply (6x - y)(2x - y + 2) is shown below.
What is expression?"It is a mathematical statement that consists of constants, variables and some mathematical operations."
For given question,
We have been given an expression (6x - y)(2x - y + 2)
The product of above expression is,
(6x - y)(2x - y + 2)
= 6x(2x - y + 2) - y(2x - y + 2)
= 12x² - 6xy +12x - 2xy + y² - 2y
= 12x² + y² -8xy + 12x -2y
The required table to multiply (6x - y)(2x - y + 2) is shown below.
Learn more about algebraic expression here:
https://brainly.com/question/14961928
#SPJ3
which equation below will produce a decay curve
y=2(4)^x
y=3^x-4
y=6(1/3)^x
y=1/2(3)^x
Answers
answer : y=6(1/3)^x, option C
Decay curve means when x value increases the y value will decrease.
We plug in 3 values for x and check the y value
Lets start with first option
[tex] y=2(4)^x [/tex]
x=0 , y= 2
x=1, y= 8
x=2, y=32
when x value increases the y value also increases. so option A is not a decay curve
[tex] y=3^x -4 [/tex]
x=0 , y= -4
x=1 , y= -1
x=2 , y = 5
when x value increases the y value also increases. so option B is not a decay curve.
[tex] y= 6(\frac{1}{3})^x [/tex]
x=0, y = 6
x=1, y = 2
x=2 , y= 0.67
when x value increases the y value decreases. so option C is a decay curve
The equation that will produce a decay curve is y = 6(1/3)^x.
Explanation:The equation that will produce a decay curve is y = 6(1/3)x.
A decay curve is characterized by exponential decay, where the base of the exponent is less than 1. In this equation, the base is 1/3, which is less than 1. As x increases, the value of (1/3)x decreases, resulting in a decay curve.
For example, if we substitute x = 0 into the equation, we have y = 6(1/3)0 = 6(1) = 6. As x increases, the value of y decreases exponentially.
Name a geometric technique that can give an illusion of depth to a two-dimensional figure.
a.
Fibonacci sequence
c.
Golden mean
b.
one-point perspective
Answers
Justification:
The one-point perspective is a mathematical (geometric) technique that permits to represent the real objects (which are in 3D) in a flat sheet of paper (or canvas or any flat surface use to draw), which is a 2-D figure.
With this technique, the objects appear smaller as they are further away which is what gives the illusion of 3D (perspective).
To get the effect of 3D, the lines on the drawing converge towards a point on the horizon line.
I need help please help please please please
Answers
It is described in the problem statement as "a cost for every one-tenth of a mile traveled." It is described in the table header as "Mileage Cost in Dollars."
The only value in the "Mileage Cost in Dollars" column is 1, which corresponds to a distance of 1/10 mile. So, it appears the numerical value of "the other cost" is $1 for each tenth-mile traveled.
___
The problem statement does not make clear whether the desired answer is the description of the other cost, or its numerical value.
The cost of a gallon of gas recently doubled. By what percent did it increase? A) 50% B) 100% C) 150% D) 200%
Answers
If a cost of a gallon recently doubled, then it increased by 50%. This is because half of 100% is 50% and it takes one more 50% to double.
Hope this helps you.
Have a great day!
Answer:
it is 100%
Step-by-step explanation:
i did it on usa test prep
What is the area of the object Below?
A.
158 sq cm
B.
102 sq cm
C.
94 sq cm
D.
142 sq cm
Answers
so
A = (8 x 4) +(10 x 7)
A = 32 + 70
A = 102
answer
B.
102 sq cm
4 x 8 = 32
32 + 70 = 102
102 is your answer. :-)
ASAP
Kim and Leon together have $111. if kim has $17 more than Leon, how much does each person have?
Answers
The equation:
(L+17) + L = 111
The parenthesis represent how much Kim has. We can take the parenthesis out to actually solve the equation.
L + 17 + L = 111
Let's add like terms, which is L.
2L + 17 = 111
Subtract 17 on both sides.
2L= 94
Divide.
L= 47
We know Leon has 47, now we have to solve Kim by just adding 17 since she has 17 more than Leon.
47+17= 64
So Kim has 64. Let's check by adding and making sure their two values are equal up to 111.
64+47=111
Leon has $47 and Kim has $64.
Leon has $47 and Kim has $64. We solved the problem by setting up an equation with the given information and solving for each person's amount.
The question presents a typical algebraic problem. Let's denote Leon's amount of money as L and Kim's amount as K. According to the problem, Kim has $17 more than Leon, so we can write this as K = L + $17.
Since the total amount of money they have together is $111, we can formulate the following equation: L + K = $111. By substituting the first equation into the second, we get L + (L + $17) = $111.
Simplifying by combining like terms, we get 2L + $17 = $111. To find the value of L, we subtract $17 from both sides, resulting in 2L = $94. Dividing by 2 gives us L = $47.
Since K = L + $17, we substitute the value of Leon's money to find Kim's: K = $47 + $17 = $64. So Leon has $47 and Kim has $64.
A number is between -5 and -14. What is the least possible integer value of the number?
Answers
An integer can be positive, negative, or zero. Given this, the least possible integer value of a number between -5 and -14 is -13.
A cell phone provider offers a plan that costs $40 per month plus $0.10 per text message sent or received. A comparable plan costs $70 per month but offers unlimited text messaging. How many text messages would have to be sent or received in order for the plans to cost the same each month?
Answers
The table on the right shows last initials of basketball players and the number of games played by each. Find the z-score for player Upper G's games played.
Player Games Played
A 75
B 81
C 72
D 79
E 76
F 80
G 75
H 79
J 73
K 79
Answers
A rectangular quilt is 5 feet wide and 7 feet long. How many feet of lace are needed to cover the edges of the quit?
Answers
P=2*12 ft
P=24 ft - is the answer
Can someone plz give the answers to 13&14 people said that couldn’t see it so I put this one up :)
Answers
14. 4*(1/5) = 4/5 . . . . . . . pounds of beef in 4 hamburgers
determine which fraction goes in the middle to make the comparison true. 5/8< ? < 8/10. so the answer to pick from are 1/2,1/3,7/10,1/4
Answers
7/10 is greater than 5/8 but it is less than 8/10
The fraction that goes in the middle to make the comparison true is 7/10.
5/8 < 7/10 < 8/10
Option C is the correct answer.
What is a fraction?A fraction is written in the form of a numerator and a denominator where the denominator is greater that the numerator.
Example: 1/2, 1/3 is a fraction.
We have,
5/8 < x < 8/10
The value for x is greater than 5/8 but less than 8/10.
1/2 is less than 5/8.
1/3 is less than 5/8.
7/10 is greater than 5/8 and less than 8/10.
1/4 is less than 5/8.
Thus,
5/8 < 7/10 < 8/10
Learn more about fractions here:
https://brainly.com/question/24370499
#SPJ2
At a table tennis tournament, two games went on for a total of 32 minutes. One game took 12 mintues longer than the other. How long did it take to complete each game?
Answers
The total time for two game is 32 minutes. The time for each game can be determine using system equation.
The time for game is 10 minute and 22 minute respectively.
Given:
Total time to complete two game is 32 minutes.
Let [tex]x[/tex] is the time took to complete one game.
Write the system equation for the given condition.
[tex]\begin{aligned}\\ x+x+12=32\\2x=32-12\\x=10 \:\rm min\\\end{aligned}[/tex]
As per the question, one game took 12 minutes longer than other. So the time for second game is,
[tex]x+12=10+12=22 \:\rm minutes[/tex]
Thus, the time took to complete game is [tex]10\:\rm minutes[/tex] and [tex]22\:\rm minutes[/tex] respectively.
Learn more about Time here:
https://brainly.com/question/11613234
What happens if the correlation coefficient equals 0?
Answers
Jane drew a point that was 1 unit to the right of the y-axis and 7 units above the x-axis.what is the ordered pair for this location
Answers
Consider circle Y with radius 3 m and central angle XYZ measuring 70°. What is the approximate length of minor arc XZ? Round to the nearest tenth of a meter. meters
Answers
Use formula for the length of the arc:
[tex] \text{Arc Length} = (\theta\cdot \dfrac{\pi}{180^{\circ}}) \cdot r [/tex], where [tex] \theta [/tex] is central angle.
Substitute [tex] \theta [/tex] and r=3 into formula:
[tex] \text{Arc Length} = (\theta\cdot \dfrac{\pi}{180^{\circ}}) \cdot r=(70^{\circ}\cdot \dfrac{\pi}{180^{\circ}})\cdot 3=\dfrac{7}{6}\pi [/tex].
Answer: [tex] \text{Arc Length} =\dfrac{7}{6}\pi [/tex].
Answer:
its 3.7
Step-by-step explanation:
Can someone please help me
Answers
So, those both will be equal to 180 degrees. Consecutive angles are supplementary.
2x-20+3x= 180
5x-20=180
Add 20 to both sides.
5x=200
x= 40
I hope this helps!
~kaikers
Add like terms
5x-20=180
Add 20 on both sides
5x=200
Divide by 5 on both sides
X=40
Give the required elements of the hyperbolas below.
1. x^2/9 - y^2/16 =1
a. 3
b. 4
c. 9
d. 16
2. 4x^2 - y^2 = 16
a. 1
b. 2
c. 4
d. 16
3. 2y^2 - 3x^2 =6
a. √ ̅2
b. √ ̅3
c. 2
d. 3
Answers
Final answer:
The hyperbolas' equations are analyzed to find the values of a² and b². For the first equation, a² is 9 and b² is 16; for the second, a² is 4 and b² is 16; and for the third, a² is 3 and b² is 2.
Explanation:
To identify the required elements for each of the hyperbolas, we need to look at the equations of the hyperbolas and determine the values of a and b, which are the square roots of the denominators of the x-squared and y-squared terms when they are in the standard form for a hyperbola, x²/a² - y²/b² = 1 for horizontal hyperbolas, and y²/a² - x²/b² = 1 for vertical hyperbolas.
1. For the hyperbola x²/9 - y²/16 = 1, the required elements are a² and b². Hence, a² = 9 and b² = 16, leading to the answers being c and d respectively.
2. The hyperbola 4x² - y² = 16 can be rearranged to x²/4 - y²/16 = 1. Here, a² = 4 and b² = 16, making the answers c and d respectively.
3. For hyperbola 2y² - 3x² = 6, it rearranges to y²/3 - x²/2 = 1. In this case, a² = 3 and b² = 2, so the answers are d and a respectively, since we are looking for a and b, not a² and b².
Find the coordinates of quadrilateral PQRS with vertices P(1, 4), Q(-1, 4), R(-2, -4) and S(2, -4) under the translation (x,y)---> (x-5,y+3) ("that is an arrow btw not a less than sign or equal to sign").
a.
P’(-4, 7), Q’(-6, 7) , R’(-7, -1) and S’(-3, -1)
b.
P’(6, 7), Q’(4, 7) , R’(3, -1) and S’(7, -1)
c.
P’(-4, 1), Q’(-6, 1) , R’(-7, -7) and S’(-3, -7)
d.
P’(6, 1), Q’(4, 1) , R’(3, -7) and S’(7, -7)
Answers
(x, y) ---> (x-5, y + 3)
P (1,4) ---> (1-5,4 + 3) >> (-4, 7)
Q (-1,4) ---> (-1-5,4 + 3) >> (-6, 7)
R (-2, -4) ---> (-2-5, -4 + 3) >> (- 7, -1)
S (2, -4) ---> (2-5, -4 + 3) >> (-3, -1)
Answer:
a.
P’(-4, 7), Q’(-6, 7) , R’(-7, -1) and S’(-3, -1)
Answer:
a. P’(-4, 7), Q’(-6, 7) , R’(-7, -1) and S’(-3, -1)
Step-by-step explanation: