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
Solve for x. (photo included)
Answers
Factor f(x) into linear factors given that k is a zero of f(x).
f(x) = 4x3 + 23x² – 34x +7; k= 1
f(x) = (Factor completely.)
Answers
Step-by-step explanation:
step 1. if k is a zero then (x - 1) is a factor of 4x^3 + 23x^2 - 34x + 7.
step 2. we "can" use long division but synthetic division is easier!
step 3. 1 4 23 -34 7
4. 4. 27. -7.
4 27. -7. 0 (must get 0)
step 4. so the factors are (x - 1)(4x^2 + 27x - 7).
step 5. please note if you multiply these factors together you will get the original polynomial!
(Please help!)
Amy just got done jumping at the trampoline center.
The total cost of her visit was $30.25.
She had to pay a $5 entrance fee, and had to pay $1.20 for every minute she was on the trampoline.
Write an equation to determine the number of minutes (t) that Amy was on the trampoline.
Answers
Answer:
30.25=5+1.20t
Step-by-step explanation:
you do the cost then add the fee with the minutes on the trampoline
PLEEASE HELP ME I WILL DO ANYTHING PLEASE HELP ME
Answers
Answer:
B
Step-by-step explanation:
I hope this helps :)
Answer:
Its B
Step-by-step explanation:
Tell me if I am wrong
Hope this helps
The image shows a geographic zone in Africa.
Which geographical zone is pictured in the image?
0 desert
0 forest
0 savanna
0
woodlands
Answers
Answer:
Savanna
Step-by-step explanation:
:) good luck on the test!
The Answer would be "C" Savanna
Image of the related Question
Choose the correct simplification of (x^7/y^9)^2.
Answers
PLEASE HELP ME!!!! ITS REALLY URGENT!
Answers
can't see the Question.
Answer:
C
Step-by-step explanation:
For every 2 cars Michael washes,
Jackie washes 3 cars. How many
cars does Jackie wash if Michael
washes 10 cars?
Michael
2
JO
I
Jackie
3
CAR
cars. WASH
Ama
Jackie washed
Answers
Answer:
15 cars
Step-by-step explanation:
10 ÷ 2 = 5
5 × 3 = 15
Jackie washed 15 cars
At a sale, coats were sold for 52% of their original price. If the coats originally cost
$200 each, how much did a coat cost on sale?
Help me please
Answers
Answer:
Answer is 104
Step-by-step explanation:
The selling price of the coat is $104.
What is a percentage?The percentage is calculated by dividing the required value by the total value and multiplying by 100.
Example:
Required percentage value = a
total value = b
Percentage = a/b x 100
Example:
50% = 50/100 = 1/2
25% = 25/100 = 1/4
20% = 20/100 = 1/5
10% = 10/100 = 1/10
We have,
Original price = $200
Selling price.
= 52% of $200
= 52/100 x 200
= $104
Thus,
$104 is the selling price of the coat.
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Solve for x \dfrac{x}{5} = \dfrac{8}{9}
5
x
=
9
8
Answers
Answer:
8
Step-by-step explanation:
The value of x in fraction is 40/9.
What is fraction?The fractional bar is a horizontal bar that divides the numerator and denominator of every fraction into these two halves.
The number of parts into which the whole has been divided is shown by the denominator. It is positioned in the fraction's lower portion, below the fractional bar.How many sections of the fraction are displayed or chosen is shown in the numerator. It is positioned above the fractional bar in the upper portion of the fraction.Given:
x/5 = 8/9
Now, solving for x we get
x= 8/9 (5)
x = 40/ 9.
Hence, the value of x is 40/9.
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Johnny has 196 baseball cards. He has 7 pages to put them on. How many cards should go on each page?
23 baseball cards
33 baseball cards
18 baseball cards
28 baseball cards
Answers
Answer:
33
Step-by-step explanation:
A $250 gaming system is discounted by 25%. It was then discounted another 10% because the box was opened by a customer. After both discounts are taken what is the total percent discount is
Answers
Answer:
168.75
Step-by-step explanation:
so first you have to do 250 times .75. this is because if you times it by .25 it would be a 75% discount. then you have to do 187.5 times .90 to get your answer
HELP
A rectangular garden has dimensions of 100 feet by 10 feet. Next season, the garden is decreased to 25 of its size. What is the scale of the drawing for the new garden shown below?
A rectangle that is 8 inches long and four-fifths of an inch wide.
Answers
Answer:
1inch=5
Step-by-step explanation:
2/5*100/1=200/5
200/5=40
40/8=5
Find the slope on the coordinate plane (slope is rise\run).
Answers
Answer:
slope is 1
Step-by-step explanation:
its going up one and to the right one so 1/1=1
Answer:
i believe the slope is 1
Step-by-step explanation:
PLEASE HELP
Which of the following are solutions of the equation (2x-3) (3x+5)=-14
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:
Decimal form
0.3,-0.5
2. A quadratic function and a blank grid are given below.
f (x)= x2 – 5x – 24
X
10 -8 6 4
2 4 6 8 10
-2
4
-8
- 12
-16
-20
-24
-28
-32
-36)
Using a graph of the function, determine which statement is NOT a true description
of this quadratic function.
Answers
Answer:
it will be 271 because u multiple
The maximum value that the function reaches is 0, which occurs at x = 6.
What is a Quadratic equation?ax²+bx+c=0, with a not equal to 0 is a quadratic equation, which is a second-order polynomial equation in a single variable. It has at least one solution because it is a second-order polynomial equation, which is guaranteed by the algebraic fundamental theorem. The answer could be simple or complicated.
Since a blank grid is given, we can plot the graph of the quadratic function f(x) = x^2 - 5x - 24 using the given points:
X: 10 -8 6 4 2 4 6 8 10
f(x): -116 -12 0 -8 -20 -8 0 8 24
The graph of the quadratic function looks like a parabola opening upwards, with the vertex at the point (2, -20).
Based on the graph, we can make the following observations:
The function has a minimum value of -20, which occurs at x = 2.The function is symmetric about the vertical line that passes through the vertex (2, -20).The function intersects the x-axis at x = -3 and x = 8.The function intersects the y-axis at y = -24.Therefore, the statement that is NOT a true description of this quadratic function is:
"The function has a maximum value of 24, which occurs at x = 10."
This statement is not true because the function has a minimum value of -20 at x = 2, but it never reaches a maximum value of 24. The maximum value that the function reaches is 0, which occurs at x = 6.
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A soda costs $1.25 in a vending machine. A 12-pack of the same soda costs $3.49 at a grocery store. How much do you save by buying a dozen cans at the grocery store?
Answers
Answer:
you would save 11.51 dollars
Step-by-step explanation:
12 cans times the vending machine price of 1.25$= $15
15-3.49=11.51
A shark can swim at an average speed of 25 miles per hour. At this rate, how far can a shark swim in 2.5 hours?
Answers
Answer:
62.5 miles in 2.5 hours
Hope this helped.
Write these numbers in order of size, start with the
smallest number
60% 1/2 0.3 3/4 0.4
Answers
Turning all number to decimals
.3, .4, .5, .60, .75
Larry is collecting one coin each year from 1952 to 2000. If Larry has collected 40% of the coins, how many does he have left to collect?
Answers
Answer:
29 coins
Step-by-step explanation:
Larry needs to collect [tex]60\%[/tex] of the coins still [tex]0.6[/tex]. [tex]2000-1952=48(+1)[/tex] because you're including 1952 [tex]=49[/tex]. [tex]49×0.6=29.4≈49[/tex].
A $90 dress is on sale 50% off, then an additional 10% off the marked-
down price. How much is the dress after both savings?
Answers
90*0.5=45
45*0.1=4.5
45-4.5=41.5
What is the coefficient of 3y+7?
Answers
Answer:
3
Step-by-step explanation:
it's 3 because the number is infront of a variable
Please help!!! Will give brain and 5 stars!!!
Answers
22.) FJ = KH
23.) <KEH = <JGF
Hope it helps ⭐⭐⭐Increase £16470.45 by 3.5%
Answers
please answer if possible
Answers
Answer:
[tex]A[/tex] ≈ [tex]127.39[/tex] [tex]ft^{2}[/tex]
Step-by-step explanation:
[tex]A = a^{2}+2a\sqrt{\frac{a^{2}}{4}+h^{2} }[/tex]
a (base edge) = 6
h (height) = 7
need help really hard for mev
Answers
Answer:
B . 7 1/2
Step-by-step explanation:
In the right triangle below, cos(x) = 12/13. Find sin(x).
х
Answers
Answer:
5/13
Step-by-step explanation:
tell me if it right ok
if mr.s rivas has 256 donust and she needs to give the same amount of dounts to her 5 freinds
Answers
Answer:
256/5=51.2
Step-by-step explanation:
Answer:
51 with a remainder of one, or 51.2
Step-by-step explanation:
She has 256 donuts and 5 friends. I assume this is for long division practice, so I will do long division.
5 | 256
Look at the first term. Does 5 go into 2? No. Bring down the next term.
5|256
25
Does 5 go into 25? Yes! How many times? 5. The first digit of our answer will be 5.
5|256 = 5
25
Now to get rid of the 25, we multiply the number we took for our answer by the divisor. 5x5 = 25. Subtract this from 25 and bring down the next (and last term).
5|256 = 5
25
-25
06
Does 5 go into 6? Yes. One time. Repeat what we did just now with this term now.
5|256 = 51
06
-5
1
Does 5 go into 1? No, it is smaller. Therefore we have a remainder of one donut.
If we are trying to divide ALL of the donuts equally, we will have to cut up the donut into 5 equal pieces. They would each be 1/5 of the donut, or 0.2.
So adding this, each friend would get 51 donuts, with an extra donut for Mrs Rivas, or each friend would get 51.2/51 and 1/5 donuts.
Which set of ordered pairs would define a line with a negative slope?
A.
(5, 5) and (0, 1)
B.
(3, 6) and (5, 1)
C.
(2, 3) and (7, 6)
D.
(2, 3) and (-4, -1)
Answers
Answer:
I believe it is B
Step-by-step explanation:
Im not good at explaing, but if you move forward three units and up 6, then draw a point, then go forward to 5 units and down to one unit and connect those dots, the line would be going down to the right
find the slope of the line that contains the following ordered pairs 10, 8 and -5, 8
Answers
Answer:
0.75
Step-by-step explanation:
Equation of the line: 0x+8
Slope: 0.75