Answer:
8 days
Step-by-step explanation:
question
how much apples remaing as a function of the number of week ? so Abigail has 16 apples she eats 2 apples per day
1 st how long before all her apples Finnish
8 days how
count by twos until u reach 16
so x= 8
Final answer:
Abigail has 16 apples, and by eating 2 per day, she consumes 14 per week. The function for remaining apples after x weeks is y = 16 - 14x.
Explanation:
Abigail has 16 apples and eats 2 apples per day. To express the remaining apples, y, as a function of the number of weeks, x, we first need to determine how many apples are eaten in one week. Since there are 7 days in a week and Abigail eats 2 apples per day, she will eat 14 apples in one week.
The function describing the remaining apples after x weeks can be constructed as follows:
Start with the total number of apples Abigail has, which is 16.
Calculate the total apples consumed in x weeks: Apples eaten per week × Number of weeks (x), which is 14x.
Subtract the total apples consumed from the initial amount to get the remaining apples: y = 16 - 14x.
This equation represents the remaining apples as a function of the number of weeks.
2.) What is the value of x?
Answer:
54
Step-by-step explanation:
add all of the numbers then subtract from 100
what two prime numbers total 31
Answer:
2, 29
Step-by-step explanation:
The prime numbers are 2,3,5,7,11,13,17,19,23,29,31,37,41,43,47,53,59,61,67,71,73,79,83,89, and 97.
six angles of a heptagon measure 107, 139, 131, 110, 145. and 128. what is the measure of the seventh angle
the measure is 140, I basically summed all of the angles of a polygon of “n”, which is 7, then I did 7-2 times 180 (900) so I can finally add up all of your measurements
The seventh angle of the given Heptagon is 140 degrees.
What is Heptagon?A heptagon is a polygon that has seven sides. It is a closed figure having 7 vertices. A heptagon is also sometimes called Septagon.
Given, six angles of a heptagon measure 107, 139, 131, 110, 145. and 128.
Since, Sum of all angles of Heptagon is 900°
Let "x" be the seventh angle of Heptagon
thus,
107 + 139 + 131 + 110 + 145 + 128 + x = 900
760 + x = 900
x = 140
Therefore, The seventh angle of the given Heptagon is 140 degrees.
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the dimensions of a figure as shown below 2 ft 3 ft 4 ft 3 ft 3 ft 4 ft
what is the volume of this figure?
Step By Step Explanation
Answer:
the answer for this is 57 I believe
Step-by-step explanation:
I cue the shape into a small rectangle with sides of 3, 3, and 1 which comes out to 9 cubic feet, and then I took the rest of the shape which became a bigger rectangle with sides of 2, 6, and 4 which comes out to 48 cubic feet. 48+9=57. Sorry if I am wrong, I tried my best. Hope this helps!
Answer: 36
Step-by-step explanation:
1) Chop the image like a hamburger, leaving the top part sticking out. You can draw a line.
2) Find the length, width, and height. 2*3*4=24
3) Find the top part that was separated from the bottom part with the line that you drew. The height of the bottom prism was 2 and the height on the other side of the prism was 3. 3-2=1
4) So, you got the height of the piece that is cut out like a small square on the top left corner of the shape. That height will be used as the height for the top part now.
5) You found the height, which was 1. Now the length is shown at the bottom of the bottom prism, which is 3. All that's left is to find the width. The width is the same as the bottom prism, which is 4. 1*3*4=12
6) Add the two volumes together to find the whole volume. 24+12=36
The first step in determining the solution to the system of equations, y = –x^2 – 4x – 3 and y = 2x + 5, algebraically is to set the two equations equal as –x^2 – 4x – 3 = 2x + 5. What is the next step?
Answer:
The next step is to put all terms into the left side of the equation and group the like trems
Step-by-step explanation:
The first step in determining the solution to the system of equations, [tex]y =-x^2-4x-3[/tex] and [tex]y = 2x + 5[/tex], algebraically is to set the two equations equal as [tex]-x^2-4x-3 = 2x + 5.[/tex]
The next step is to put all terms into the left side of the equation and group the like trems:
[tex]-x^2-4x-3-2x-5=0,\\ \\-x^2+(-4x-2x)+(-3-5)=0,\\ \\-x^2-6x-8=0.[/tex]
Now you can multiply this equation by -1:
[tex]x^2+6x+8=0[/tex]
and solve it using quadratic formula:
[tex]x_{1,2}=\dfrac{-6\pm \sqrt{6^2-4\cdot 8\cdot 1}}{2\cdot 1}=\dfrac{-6\pm\sqrt{4}}{2}=\dfrac{-6\pm 2}{2}=-4,\ -2.[/tex]
The area of a square garden is 98 m2. How long is the diagonal?
Answer:
The diagonal is about 14 m
Step-by-step explanation:
A = s^2
98 = s^2
so
s = √98
diagonal c^2 = 98 + 98
c^2 = 196
c = √196
c ≈ 14
Answer:
The diagonal is about 14 m
Answer:
C= 14
Step-by-step explanation:
The side is the square root of the area
S × S = A
S = √98
The diagonal is the hypotenuse of a right triangle formed by the two sides so
a² + b² = c²
Where C = the diagonal A = √98 , B = √98
so C²= (√98)² + (√98)²
This gives: C²= 98 + 98 or
C² = 196
√C² = √196
C= 14
A circle has a circumference of 14pi. What is the area in terms of pi?
Step-by-step explanation:
Divide the circumference by pi to get diameter, which is 14. Divide 14 by 2 for the radius, which is 7. Now square the radius to get 49, and multiply by pi for the area.
Area is 49pi.
The area of the circle in terms of π with a circumference of 14π is 49π units².
Given a circle.
Also, given that:
Circumference of the circle = 14π
It is required to find the area of the circle.
It is known that:
Circumference of a circle is:
C = 2πr, where r is the radius.
So, here,
2πr = 14π
2r = 14
r = 7
So, the radius of the circle is 7.
So, the area of the circle is:
A = πr²
= π(7)²
= 49π
Hence, the area is 49π.
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two bottled waters and an order of cheese nachos costs $5.50. Three bottled waters and two orders of cheese nachos costs $9.50
1.50 waters 2.80 nachos
hope this helps :)
The cost of each nachos is $2.50 and the cost of each water bottle is $1.50.
What is a linear system of equations?A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.
Let x be the cost of each water bottle and y be the cost of each nachos.
Two bottled water and an order of cheese nachos costs $5.50.
So, 2x+y=5.50 -------(I)
Three bottled water and two orders of cheese nachos costs $9.50
3x+2y=9.50 -------(II)
Multiply equation (I) by 2, we get
4x+2y=11 -------(III)
Subtract equation (II) from equation (III), we get
4x+2y-(3x+2y)=11-9.50
x=$1.50
Substitute x=1.50 in equation (I), we get
2(1.50)+y=5.50
y=$2.50
Therefore, the cost of each nachos is $2.50.
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"Your question is incomplete, probably the complete question/missing part is:"
Two bottled waters and an order of cheese nachos costs $5.50. Three bottled waters and two orders of cheese nachos costs $9.50. How much money does the nachos cost.
Can two cars be traveling the same speed but have difference velocities
Answer: Objects have the same velocity only if they are moving at the same speed and in the same direction. Objects moving at different speeds, in different directions, or both have different velocities.
How to integrate sec^3x
1 Use Integration by Parts on \int \sec^{3}x \, dx∫sec
3
xdx.
Let u=\sec{x}u=secx, dv=\sec^{2}xdv=sec
2
x, du=\sec{x}\tan{x} \, dxdu=secxtanxdx, v=\tan{x}v=tanx
2 Substitute the above into uv-\int v \, duuv−∫vdu.
\sec{x}\tan{x}-\int \tan^{2}x\sec{x} \, dxsecxtanx−∫tan
2
xsecxdx
3 Use Pythagorean Identities: \tan^{2}x=\sec^{2}x-1tan
2
x=sec
2
x−1.
\sec{x}\tan{x}-\int (\sec^{2}x-1)\sec{x} \, dxsecxtanx−∫(sec
2
x−1)secxdx
4 Expand (\sec^{2}x-1)\sec{x}(sec
2
x−1)secx.
\sec{x}\tan{x}-\int \sec^{3}x-\sec{x} \, dxsecxtanx−∫sec
3
x−secxdx
5 Use Sum Rule: \int f(x)+g(x) \, dx=\int f(x) \, dx+\int g(x) \, dx∫f(x)+g(x)dx=∫f(x)dx+∫g(x)dx.
\sec{x}\tan{x}-\int \sec^{3}x \, dx+\int \sec{x} \, dxsecxtanx−∫sec
3
xdx+∫secxdx
6 Set it as equal to the original integral \int \sec^{3}x \, dx∫sec
3
xdx.
\int \sec^{3}x \, dx=\sec{x}\tan{x}-\int \sec^{3}x \, dx+\int \sec{x} \, dx∫sec
3
xdx=secxtanx−∫sec
3
xdx+∫secxdx
7 Add \int \sec^{3}x \, dx∫sec
3
xdx to both sides.
\int \sec^{3}x \, dx+\int \sec^{3}x \, dx=\sec{x}\tan{x}+\int \sec{x} \, dx∫sec
3
xdx+∫sec
3
xdx=secxtanx+∫secxdx
8 Simplify \int \sec^{3}x \, dx+\int \sec^{3}x \, dx∫sec
3
xdx+∫sec
3
xdx to 2\int \sec^{3}x \, dx2∫sec
3
xdx.
2\int \sec^{3}x \, dx=\sec{x}\tan{x}+\int \sec{x} \, dx2∫sec
3
xdx=secxtanx+∫secxdx
9 Divide both sides by 22.
\int \sec^{3}x \, dx=\frac{\sec{x}\tan{x}+\int \sec{x} \, dx}{2}∫sec
3
xdx=
2
secxtanx+∫secxdx
10 Original integral solved.
\frac{\sec{x}\tan{x}+\int \sec{x} \, dx}{2}
2
secxtanx+∫secxdx
11 Use Trigonometric Integration: the integral of \sec{x}secx is \ln{(\sec{x}+\tan{x})}ln(secx+tanx).
\frac{\sec{x}\tan{x}+\ln{(\sec{x}+\tan{x})}}{2}
2
secxtanx+ln(secx+tanx)
12 Add constant.
\frac{\sec{x}\tan{x}+\ln{(\sec{x}+\tan{x})}}{2}+C
2
secxtanx+ln(secx+tanx)
+C
To integrate sec³(x), use integration by parts and trigonometric identities, ultimately resulting in the integral: 1/2 * (sec(x) * tan(x) + ln|sec(x) + tan(x)|) + C.
To integrate sec³(x), we can use integration by parts. Let’s denote the integral by I:
I = ∫ sec³(x) dx
First, we use the identity:
sec³(x) = sec(x) * sec²(x)We know that sec²(x) = 1 + tan²(x), so:
sec³(x) = sec(x) * (1 + tan²(x)) = sec(x) + sec(x) * tan²(x)Now, we use integration by parts:
Let u = sec(x) and dv = sec(x) * tan²(x) dx.Then, du = sec(x) * tan(x) dx and v = tan(x).
Using integration by parts formula ∫ u dv = uv - ∫ v du, we get:
I = ∫ sec(x) * sec²(x) dx = sec(x) * tan(x) - ∫ tan(x) * sec(x) * tan(x) dxWhich simplifies to:
I = sec(x) * tan(x) - ∫ sec(x) * tan²(x) dxWe already know sec²(x) = 1 + tan²(x), so:
tan²(x) = sec²(x) - 1∫ sec(x) * tan2(x) dx = ∫ sec(x)(sec²(x) - 1) dx = ∫ sec³(x) dx - ∫ sec(x) dxI = sec(x) * tan(x) - ∫ sec(x) * tan²(x) dx∫ sec³(x) dx = sec(x) * tan(x) - ∫ sec³(x) dx + ∫ sec(x) dx2∫ sec³(x) dx = sec(x) * tan(x) + ln|sec(x) + tan(x)| + C∫ sec³(x) dx = 1/2 * (sec(x) * tan(x) + ln|sec(x) + tan(x)|) + Chelp me on this math please
9514 1404 393
Answer:
A (and C)
Step-by-step explanation:
A relationship that is a direct proportion is described by the equation ...
y = kx
for some constant k.
You can examine the tables to see what the value of k is by looking at ...
k = y/x
__
In table A, the values of k are 125/5 = 250/10 = 500/20 = 25.
In table B, the values of k are 100/50 = 2, 250/20 = 125, 50/10 = 5. These are not constant, so the relation is not a proportional one.
In table C, the values of k are -125/5 = -250/10 = -500/20 = -25.
In table D, the values of k are 8/2 = 4, 10/4 = 2.5, 12/6 = 2. These values are not constant, so the relation is not a proportional one.
__
We see that the tables of A and C both represent proportional relationships. We usually expect the value of k to be positive, but there is nothing in the definition of a proportional relationship that demands that be the case.
If this is a single-answer question, choose A.
If this is an "all that apply" question, choose A and C.
State the reference angle for -75
Check the picture below.
so, the reference angle, will be the angle made by it with the x-axis, namely 75°.
Help me plz tgbdsfvg
Answer:
angle 2 is 43 as the opposite side of the angle is always equal angle 1 and 3 are:
step 1
43+43=86
step 2
360-86=274
step 3
274÷4=68.5
we subtracted 86 with 360 because 360 is the sum of all the angles we then divided the answer by 2 as we were suppose to find two angles angle 1 and 3 are opposite angles so they both will be same
hope this information helps u :)
Answer:
see explanation
Step-by-step explanation:
∠1 and 43° form a straight angle = 180°, hence
∠1 = 180° - 43° = 137°
∠2 = 43° ( vertical to 43° )
∠3 = 137° ( vertical to ∠1 )
Write a number story to fit this number sentence. 20- (3x6) =2
Answer: Bonnie went to a meadow to pick flowers there was 20 flowers in one area and had decided to pick 18 of the flowers, how many flowers are left?
Step-by-step explanation: I don't know.... Just something random, hope I was able to help!
A Number story was written to describe the given mathematical equation.
Mercy had 20 balls, 6 were of green color, 6 were of blue color, 6
were of red color, 2 were of yellow colors. One day six of her friends came
to her home and each of them liked the balls Mercy had. All of them
requested Mercy to offer one ball of each color i.e. green, blue, and red. Since they were the best friends of Mercy so Mercy couldn't deny it.
She offered each friend 3 balls of green, blue, and red color each. Since She offered 3 balls to each of her friends i.e 18 balls, she was left with
20-(3*6) = 2 yellow color balls.
Thus, a number story was written to describe the given mathematical equation.
On a map, the North Carolina cities of Raleigh, Durham, and Chapel Hill form a triangle, as shown below. What are the approximate values of the missing measures on the map?
The approximate values are:
c = 55.2°
r = 22.8°
x = 9.9 miles
Explanation- To find angle [tex]c[/tex], we are using the rule of sines: [tex]\frac{a}{sin(A)} =\frac{b}{sin(B)} =\frac{c}{sin(C)}[/tex]
For our triangle [tex]a=21,A=c,b=x,B=r,c=25[/tex] and [tex]C=102[/tex]
Replacing the values we get: [tex]\frac{21}{sin(c)} =\frac{x}{sin(r)} =\frac{25}{sin(102)}[/tex]
We can pick up two suited values to find [tex]c[/tex]:
[tex]\frac{21}{sin(c)} =\frac{25}{sin(102)}[/tex]
[tex]21=\frac{25sin(c)}{sin(102)}[/tex]
[tex]21sin(102)=25sin(c)[/tex]
[tex]sin(c)=\frac{21sin(102)}{25}[/tex]
[tex]c=sin^{-1}(\frac{21sin(102)}{25})[/tex]
[tex]c=55.2[/tex]
- Now that we have angle [tex]c[/tex], we can use the angle sum theorem to find angle [tex]r[/tex].
The angle sum theorem states the the interior angles of a triangle add up to 180°, so:
[tex]r+c+102=180[/tex]
[tex]r+55.2+102=180[/tex]
[tex]r+157.2=180[/tex]
[tex]r=22.8[/tex]
- Now that we have angle [tex]r[/tex], we can use the rule of sines, one more time, to find side [tex]x[/tex]
[tex]\frac{21}{sin(c)} =\frac{x}{sin(r)} =\frac{25}{sin(102)}[/tex]
[tex]\frac{x}{sin(r)} =\frac{25}{sin(102)}[/tex]
[tex]\frac{x}{sin(22.8)} =\frac{25}{sin(102)}[/tex]
[tex]x=\frac{25sin(22.8)}{sin(102)}[/tex]
[tex]x=9.9[/tex]
Answer: 1) r=23° , c=55° , x=10°
Step-by-step explanation:
correct on edge 2020
What is the total area! Pls help! Formula: A=1/2bh for triangle and A=bh for rectangle! Ty!
At a local basketball game, all tickets are the same price and all souvenirs are the same price. Mr. Smith bought 2 tickets for this basketball game and 1 souvenir for a total of $17.25. Ms. Lockhart bought 5 tickets to the same game and 2 souvenirs for a total of $42.00. How much was a ticket to this game?
*please explain!*
Answer:
The answer is $7.50.
Step-by-step explanation:
First you have to find the price of the souvenirs which were $2.25, just by doing each common price. Then you just do the answer you got divided by two.
The one ticket for this basketball game is $ 7.50, and one ticket for a souvenir is $2.25.
What is a linear equation?It is defined as the relation between two variables if we plot the graph of the linear equation we will get a straight line.
If in the linear equation one variable is present then the equation is known as the linear equation in one variable.
Let's suppose the price of the one ticket = $x
And the price of the one souvenir = $y
We have:
2x + y = 17.25 ....(1)
5x + 2y = 42.00 ....(2) (from the quetion)
From the equation (1):
y = 17.25 - 2x
Put the value of y in the equation (2), we get:
5x +2(17.25 -2x) = 42
5x + 34.5 - 4x = 42
x = 42 - 34.5
x = $ 7.50
and y = 17.25 - 2x ⇒ 17.25 - 2(7.5) ⇒ $2.25
Thus, the one ticket for this basketball game is $ 7.50, and one ticket for a souvenir is $2.25.
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What is it?plz tell me i need help
Answer:
The answer is 195 :)))
Step-by-step explanation:
I need a step by step explanation how to solve for the solutions of this (Not by graphing)
y=({x}^2)-8x+15 and y=3x+15 (Once again plz solve using a method other than graphing and add an explanation)
Answer:
(0, 15) and (11, 48)
Step-by-step explanation:
Given the 2 equations
y = x² - 8x + 15 → (1)
y = 3x + 15 → (2)
Substitute y = x² - 8x + 15 into (2)
x² - 8x + 15 = 3x + 15 ( subtract 3x + 15 from both sides )
x² - 11x = 0 ← in standard form
x(x - 11) = 0 ← in factored form
Equate each factor to zero and solve for x
x = 0
x - 11 = 0 ⇒ x = 11
Substitute these values into (2) for corresponding values of y
x = 0 : y = 0 + 15 = 15 ⇒ (0, 15)
x = 11 : y = 33 + 15 = 48 ⇒ (11, 48)
Solutions are (0, 15), (11, 48)
Plz help accidentally checked it in
Answer:
100
Step-by-step explanation:
sqrt[y] = 10
Apply both side a ^2
then
y = 100
Best regards
Answer: b. 100
Step-by-step explanation:
[tex]\sqrt y-7=3\\\\\sqrt y=10\qquad added\ 7\ to\ both\ sides\\\\(\sqrt y)^2=(10)^2\\\\y=100\\\\\\Check:\\\sqrt{100}-7=3\\\\10-7=3\ \checkmark[/tex]
The equation for a parabola with directrix y = –p and focus (0, p) is:
Answer:
[tex]y=\frac{1}{4p}x^{2}[/tex]
Step-by-step explanation:
∵ The directrix is y = -p
∵ The focus is (0 , p)
∵ (x , y) is a general point on the parabola
∵ The distance between (x , y) and the directrix = the distance
between (x , y) and the focus
By using the rule of distance:
∵ (y - -p)² = (x - 0)² + (y - p)²
∴ (y + p)² = x² + (y - p)²
∴ y² + 2py + p² = x² + y² - 2py + p²
∴ 2py + 2py = x²
∴ 4py = x² ⇒ ÷ 4p in both sides
∴ [tex]y=\frac{1}{4p}x^{2}[/tex]
Look at the photo! Please answer ASAP will give brainliest on the last one it says answer and square feet
Is it preferable to pay for these items with tax dollars or be charged ad each is used? What do you think?
Answer:
In my opinion I would say Tax Dollars
Hope This Helps! Have A Nice Day!!
Whether public goods should be paid for through taxes or individual fees depends on various factors, including the nature of the good and one's income level. For many public goods and services, a combination of tax funding and user fees is used. The decision between the two is a matter of public policy and individual preference.
Explanation:The decision on whether to pay for public goods through taxes or individual fees depends on various factors. In essence, this relates to the discussion on public provision versus personal pay-per-use. Some public goods, like parks, are free to use, but the government charges for certain services, such as parking or reserving picnic areas. This is a mixture of public provision at no charge along with fees for some purposes.
On the other hand, taxes are paid by most working people and by consumers when they buy goods and services. These taxes fund public services like roads, bridges, schools, and public safety functions. Thus, some may prefer public goods to be funded through taxes so everyone contributes to these community-supporting services.
Nonetheless, there are also 'toll goods', like cable TV and private schools, that are open to everyone but require users to pay a fee. The choice between taxes versus individual fees can also depend on one's income level, as those with more discretionary income might prefer pay-per-use to avoid potential higher taxes.
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Your dog eats 7/8 lb of food in 4 meals , how many meals will it take your dog to eat 1 lb of food
Answer:
x = 32/7, or 4 4/7 meals
Step-by-step explanation:
Write and solve an equation of ratios, as follows:
7/8 lb 4 meals
------------ -------------
1 lb x
x will be the number of meals necessary for the dog to eat 1 lb of food.
Cross-multiplying, (7/8)x = 4.
Multiplying both sides by 8/7 is an easy way to isolate x:
(8/7)(7/8)x = (8/7)(4)
or
x = 32/7, or 4 4/7 meals
Click on this one Choixongdong!
Which equation does the graph below represent?
y = 2x
y = 1/2 x
y = 1/2 + x
y = 2 + x
Answer:
y = 1/2 x
Step-by-step explanation:
slope = 1/2 and y-intercept = 0
so equation
y = 1/2 x
I need help solving this
Answer:
80 is the volume
Step-by-step explanation:
l*b*h
5*2*8
80
L*W*H
8*5 = 40
40*2 = 80
The volume is 80 cm^3
what is the y-intercept of y-5=1/3(x+6)
So y = 1/3x + 7, therefore the gradient is 1/3 and the y-intercept is 7.
Jean needs 2 gallons olive oil to make a recipe. If olive oil cost $ 8.00 a quart, how much money will she need to buy the olive oil?
Answer:
Step-by-step explanation:
There are 4 quarts in a gallon.
So, that is $32 a gallon.
2 gallons is $64
I need to know what this means
Answer: (5n - 8)(n² - 3)
Step-by-step explanation:
You can factor this using the Grouping Method (hint: rearrange the terms)
5n³ - 8n² - 15n + 24
= 5n³ - 15n -8n² +24
= 5n(n² - 3) -8(n² - 3)
= (5n - 8)(n² - 3)
What is the total surface area of this rectangular pyramid?
square meters
Answer:
The total surface area = 10956 m²
Step-by-step explanation:
∵ The pyramid is rectangular pyramid
∴ It has a rectangular base with dimensions of 50 m and 78 m
∴ It has four faces each two opposite are congruent
* to find the total surface area, we will find the area of
each face and add them together
- Area base = L × W
∴ Area base = 50 × 78 = 3900 m² ⇒ (1)
- Area of triangular face of dimensions:
base = 50 m and height = 60 m
∵ Area triangle = 1/2 × base × height
∴ Area triangle = 1/2 × 50 × 60 = 1500 m²
∵ We have another triangle congruent to this triangle (opposite faces)
∴ Area of the two congruent faces = 1500 × 2 = 3000 m² ⇒ (2)
- Area of triangular face of dimensions:
base = 78 m and height = 52 m
∵ Area triangle = 1/2 × base × height
∴ Area triangle = 1/2 × 78 × 52 = 2028 m²
∵ We have another triangle congruent to this triangle (opposite faces)
∴ Area of the two congruent faces = 2028 × 2 = 4056 m² ⇒ (3)
∴ Add (1) , (2) and (3)
∴ The total surface area = 3900 + 3000 + 4056 = 10956 m²
Answer:
The total answer is : 10956 m²
Step-by-step explanation: