Answers
the surface area of the body is approximately 739.72 square inches. first find the area of the two triangles (base and top) using Heron's formula
what is surface area ?
Surface area is the total area of all the faces or surfaces of a three-dimensional object. It is the sum of the areas of all the faces of the object, including the top, bottom, and sides. Surface area is usually measured in square units, such as square inches or square meters.
In the given question,
Let's first find the area of the two triangles (base and top) using Heron's formula:
For the base triangle with side lengths 9, 10, and 13.5:
s = (9 + 10 + 13.5)/2 = 16.25
Area = √(s(s-9)(s-10)(s-13.5)) = 35.44 square inches
For the top triangle, the side lengths are the same, so the area is also 35.44 square inches.
Now, let's find the area of the four sides. We can divide the body into two trapezoids and two triangles. The trapezoids have heights of 9 inches and bases of 9 and 10 inches. The triangles have a base of 13.5 inches and a height of the slant height of the trapezoid, which we can find using the Pythagorean theorem:
h = √(13.5² - (10-9)²) = √(146.25) = 12.1 inches
So, the area of each trapezoid is:
(9/2)*(9+10)*√(146.25 - 9.5²) = 252.28 square inches
And the area of each triangle is:
(1/2)13.512.1 = 81.94 square inches
Finally, the total surface area is the sum of all these areas:
35.44 + 35.44 + 252.28 + 252.28 + 81.94 + 81.94 = 739.72 square inches
Therefore, the surface area of the body is approximately 739.72 square inches.
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Related Questions
SOMEONE PLEASE EXPLAIN ASAP
Answers
Answer:
112,5°
Step-by-step explanation:
angle of WXZ + angle of ZXY = 180
180 / 8 = 22,5
5 × 22.5 = 112,5 = angle of WXZ
There you go, hoped it helped!
State two ordered pairs that satisfy each linear relation and one ordered pair that does not. y=5x-1
Answers
Answer:34567890-123rgegfgghdhe
Step-by-step explanation:
Use the quadratic formula to solve 2x2 + 2x - 12?
Answers
Answer:
2,-3
Step-by-step explanation:
i did the math lol- trust me
Answer:
yellow: 2 & -3
Step-by-step explanation:
please help due soon plzz
Answers
Answer:
x = 5
Step-by-step explanation:
3x = -5x + 40
8x = 40
x = 5
hope this helps!
Answer:
5,15
Step-by-step explanation:
Pls help will mark brainiest
Answers
Answer:
35x 10000500Step-by-step explanation:
35 divided by 7 is 5. 3,500 is 35 x 100. 35 hundreds (3,500) divided by 7 is 5 hundred (5 with 00 at the end). 3,500 divided by 7 is 500.
Hope it helps!
Is this person right if he is can u tell me the coordinates?
y=6x+34
plz give me a good answer
Answers
Answer:
I love algebra anyways
The ans is in the picture with the steps how i got it
(hope this helps can i plz have brainlist :D hehe)
Step-by-step explanation:
4. What is the measure of a Supplementary angle to AFD if m AFD = 67º, Just write the number without the word or degree symbol.
Answers
Answer:
Step-by-step explanation:
Supplementary angles have a sum of 180 degrees so
67+a=180
a=113
Please solve i will give brainliest
Answers
Answer:
Each item costs $6.46 dollars rounded to the nearest cent.
Step-by-step explanation:
All I did was divide 3133 divided by 482 is 6.45850622407.
But since this number is too big, I rounded it to the nearest cent.
So, the answer should be 6.46
Hope this helps! :)
Spiral Review Gretchen is delivering boxes of cookies to her neighbors. Her wagon itself weighs 12 pounds when empty and will hold up to 9 boxes.
If each box of cookies weighs 1 pound, what is the range of the total weight of her wagon while she is delivering cookies?
Enter the correct answers in the boxes.

Answers
Answer:
0-108
Step-by-step explanation:
I have the same assignment and got it while working on it
you have to say from either 0 or 12 pounds to 108 as you have to multiply 12 x 9.
The range of the total weight of her wagon while she is delivering cookies is 12 pounds to 21 pounds.
What is addition?Combining objects and counting them as one big group is done through addition. In arithmetic, addition is the process of adding two or more integers together. Addends are the numbers that are added, and the sum refers to the outcome of the operation.
Given:
Spiral Review Gretchen is delivering boxes of cookies to her neighbors. Her wagon itself weighs 12 pounds when empty and will hold up to 9 boxes.
Each box of cookies weighs 1 pound.
Weight of 9 boxes = 9 pounds.
So, the range,
= 12 pounds to 12 + 9 pounds
= 12 pounds to 21 pounds.
Therefore, the range is 12 pounds to 21 pounds.
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Which has a unit price of $4.121case?
A. 3 cases for $12.57
B. 4 cases for $16.44
C. 5 cases for $21.25
D. 6 cases for $24.72
Answers
Answer:
D
Step-by-step explanation:
$24.72 divided by 6 = $4.12
5x + 3x - 2 = 22
Number only please.
Answers
x=3
5x+3x-2=22
8x-2=22
8x=24
x=3
Answer: the answer is x
Step-by-step explanation:
5*x+3*x-2-(22)=0
Solve : 8 = 0
Solve : x-3 = 0
x = 3
Farmers went into debt during the 1920s, explain
Answers
Answer:
THE BEGINNING OF THE GREAT DEPRESSION
Step-by-step explanation:
Answer: Much of the Roaring '20s was a continual cycle of debt for the American farmer, stemming from falling farm prices and the need to purchase expensive machinery. ... Simply put, if farmers produced less, the prices of their crops and livestock would increase.
Step-by-step explanation:
Jeffrey is scuba diving. His elevation changes by -5.5 inches every second. Jeffrey Dives for 30 seconds. What is the total change in Jeffrey's elevation?
Answers
7. The length of a rectangular plot is 12 m 30 cm and breadth is 5m 20cm. Find the
area of the plot.
Answers
The breadth of rectangle 20cm
The area of rectangle is=lb
=30×20=600cm^2
Whitney's teacher asked her to find the area of each figure shown.
For which figure will she use the formula
1
2
h
(
b
1
+
b
2
)
to compute the area?
Answers
Answer:
That formula is used to find the area of Trapezoids, so it would be "B"
You wake up, you see there's a flood, you see 3 people hanging on a tree but you can only save one of them, there is hot girl gold digger, old grandma, and baby boy, who you gonna save
Answers
Answer:
baby boy
Step-by-step explanation:
he has the rest of his life to live
Answer:
baby boy
Step-by-step explanation:
The old dude already lived his life. The woman is a gold digger and I'm not rich.
What is the value of x?
Answers
Answer: x=39
Step-by-step explanation:
You would subtract 107 and 68 to get your answer. Therefore, your answer would be 39.
Answer:
X=39
Step-by-step explanation:
180 - 107 = 73
180 - 68 = 112
73 + 68 = 141
180 - 141 = 39
1. At a specific time of day, a flagpole has a shadow 40 ft long, at the same time of day
Jose who is 6 ft tall has a shadow of 8ft long. Find the height of the flagpole to the
nearest tenth of a foot if needed.
Answers
Explanation: you know the lengths of both shadows so therefore you put 40 over 8 (like a fraction) and then you need to find out height of the flagpole, but you do know the height of Jose so therefore you put x over 6 right next to 40 over 8. Then you cross multiply 40 x 6= 240 and then you change the x into 8. So NOW you then divide your answer from 40 x 6 (240) by 8 and then you get your answer which is X = 30 ft tall
I don't really understand these Questions..Can you help me?
Answers
Answer:
Problem 1: y = 4x + 6
Problem 2: 48 soda bottles per minute
Step-by-step explanation:
Problem 1:
Equation of a line in slope-intercept form is given as y = mx + b.
Wee have to figure out the value of the slope (m) and the value of y-intercept (b). Them to write an equation that represents the line of the graph, we need to input the values of m and b into the equation, y = mx + b.
Thus,
m = hourly fee = $4
b = initial deposit = $6
Substitute m = 4 and b = 6 into y = mx + b
Equation would be:
y = 4x + 6
Problem 2:
What we are simply asked to do is to find the slope of the line, which is the number of soda bottles the machine will produce per minute
Using the two points (3, 144) and (8, 384),
Slope = ∆y/∆x = (384 - 144)/(8 - 3)
Slope = 240/5 = 48
Thus, the machine will make 48 bottles per minute
Choose the function that correctly identifies the transformation of f(x) = x2 shifted three units to the left and five units up.
og*) = (x - 3)2-5
og(x) = (x - 3)2 + 5
og(x) = (x + 3)2 + 5
o g() = (x + 3)2-5
Answers
The functions that correctly identify the transformation of f(x) = x² shifted three units to the left and five units up is
g(x) = (x + 3)² + 5
Option C is the correct answer.
What is a function?A function has an input and an output.
A function can be one-to-one or onto one.
It simply indicated the relationships between the input and the output.
Example:
f(x) = 2x + 1
f(1) = 2 + 1 = 3
f(2) = 2 x 2 + 1 = 4 + 1 = 5
The outputs of the functions are 3 and 5
The inputs of the function are 1 and 2.
We have,
The function that correctly identifies the transformation of f(x) = x² shifted three units to the left and five units up is:
g(x) = (x + 3)² + 5
To see why, we can use the following steps:
To shift a function three units to the left, we replace "x" with "(x + 3)".
This is because for any value of "x", "x + 3" represents a point that is three units to the left of "x".
To shift a function five units up, we add 5 to the entire function.
This is because for any value of "x", the value of the function is increased by 5 units.
Combining these transformations, we get:
g(x) = (x + 3)² + 5
This function represents a parabola that is shifted three units to the left and five units up from the original function f(x) = x^2.
Thus,
The functions that correctly identify the transformation of f(x) = x² shifted three units to the left and five units up is
g(x) = (x + 3)² + 5
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Marissa is 7 years older than Mark. The sum of their ages is 59. How old are Marissa and Mark?
(A) First write an equation you can use to answer this question. Use x as your variable.
The equation is __________
Answer: Mark is ___________
and Marissa is ________
Answers
mark is 26=x and marissa id 33
if you take 59 take away 7 you get 52
then you wil devide 52 and get 26
you will use the 7 you took out earlier and add it to one of the 26 which will give you mark(26=x) and marissas(33) age .
PLEASE HELP
Which line segment is a radius of K?
A) EH
B) FG
C) DK
D) KH
Answers
Answer:
HE is the answer I think...no.a
The correct line segment which is a radius of О K is,
⇒ Radius = DK
What is mean by Line segment?Line segment is a part of the line which have two endpoints and bounded by two distinct end points and contain every point on the line which is between its endpoint.
We have to given that;
Circle with center K is shown in figure.
And, To find the line segment which shows the radius of Circle with center K.
Now,
By definition of circle of radius is,
⇒ FG = Chord of circle
⇒ EH = Diameter of circle
⇒ JI = Chord of circle
⇒ DK = Radius of circle
Hence, We get;
The correct line segment which is a radius of О K is,
⇒ Radius = DK
Therefore, We get;
The correct line segment which is a radius of О K is,
⇒ Radius = DK
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what is 78 divided by 6
Answers
Answer:
13
Step-by-step explanation:
If x = 3 what is the value of x3 – 2x
Answers
Step-by-step explanation:
When
x = 3
x³ - 2x = (3)³ - 2 * 3
= 27 - 6
= 21
Hope it will help :)
x^3 = 3^3
3^3=27
2x3=6
So that is
27-6=
21
Which equation could represent a vertical asymptote of the graph of the function?
O x=0
O y = 0
Ox= -1
O y=-1
Answers
Answer:
X=-1
Step-by-step explanation:
The correct equation could represent a vertical asymptote of the graph of the function is,
⇒ x = -1
What is mean by Function?A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).
Now, According to the given table, we see that for x = -1, the function is not defined, that means that the rational function has a restriction there, and such restriction is shown as an asymptote in the graph of the function.
So, basically, we could say that the given rational function has one asymptote and it's at x = -1, which is a vertical asymptote, because all forms like x = k, are vertical lines, that is, they are parallel to the vertical axis.
Therefore, The correct equation could represent a vertical asymptote of the graph of the function is,
⇒ x = -1
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Find mZTUV if mZTUB = 229
and mZBUV = 156°
Solve
B
180°
78°
134°
178°
Answers
A recipe for spaghetti sauce serves 12 people need 8 whole tomatoes.If the recipe is adjusted for 18 people, how many tomatoes are needed?
Answers
i believe i haven’t done this type of math in a long time, if you want to double check find the percentage so if 12 people need 8 tomato’s add 6 to the people and divide by tomatoes if that makes any sense whatsoever
Factor the expression using 3 as one factor. 3x−30
Answers
Answer:
3(x - 10)
Step-by-step explanation:
3x - 30 = 3(x - 10)
Hii!
__________________________________________________________
Answer:
3(x-10)
Step-by-step explanation:
Note that both terms, 3x and -30, have a 3 in common. This is called the greatest common factor, or g.c.f.
The g.c.f. of 3x and -30 is 3. So we divide both 3x and -30 by 3, and obtain
x-10
Put parentheses around x-10
(x-10)
Next, put 3 outside the parentheses
3(x-10)
--
Hope that this helped! Best wishes.
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find the product using suitable properties (- 13 )x (13 + -( 3))
Answers
Answer:
##############
Step-by-step explanation:
#############
Solve: -36 = 9w w = _____
Answers
Answer:
w = -4
Step-by-step explanation:
You have to do -36 and divide it by 9 and you get -4 = w
