1/6 + 3/4 = how many units

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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Answer:

Cubic Polynomial

Step-by-step explanation:

The degree is the highest exponent in the equation. (So, 3.)

This makes it cubic.

Anything above three terms is just considered a polynomial.

Hence, Cubic Polynomial.

Answer:

Option A

Step-by-step explanation:

According to the second law of thermodynamics, heat always flows from hot to cold places, unless work is done on the system. In this case the ice is colder than room temperature, and therefore the heat flows from the soda to the ice cube. The ice cube absorbs the heat, and partially melts.

Answer:

B

Step-by-step explanation:

There is 1 oboe for every seven clarinets, so the ratio is 1/7

all the answers in the one are just 1/7 written differently, but when you reduce them all, they all end up being 1/7.

Answer:

-0.14r -0.44

Step-by-step explanation:

trust me

Answer:

D) $15.99 +$0.50n> $20

Step-by-step explanation:

Answer:

1/2×1/5=1/10

1/5÷2=1/5×1/2=1/10

Answer:

1/2 x 1/5 would be 1/10 and 1/5 divided by 2 would be 1/10

Step-by-step explanation:

Answer:

258.54 feet

Step-by-step explanation:

Step 1

We convert 60 meters to feet

1 meter = 3.28084 feet

60 meters = x

Cross Multiply

x = 60 × 3.28084 feet

x = 196.8504 feet

60 meters = 196.8504 feet

Step 2

How many feet can it dive in 6 minutes and 34 seconds

We convert 34 seconds to minutes

60 seconds = 1 minute

34 seconds = x

Cross Multiply

60 × x = 34 × 1

x = 34/60

x = 0.567 minutes

So, 6 minutes and 34 seconds = 6 + 0.567 minutes = 6.567 minutes.

60 meters in 5 minutes.

60 meters = 196.8504 feet

Hence:

5 minutes = 196.8504 feet

6.567 minutes = x

Cross Multiply

5x = 6.567 × 196.8504 feet

5x = 1292.7165768 feet

x = 1292.7165768/5

x = 258.54331536 feet

Approximately = 258.54 feet

Therefore, the submarine can dive 258.54 feet in 6 minutes 34 seconds

Answer:

A) 130°

Step-by-step explanation:

Angle UTV = angle YTX = 75°

Angle VTW = 55°

so UTW = 75 + 55

if this helps, please give brainliest if possible

Answer:

A

Step-by-step explanation:

∠ UTV = ∠ YTX = 75° ( vertically opposite angles )

∠ VTW = 55° ( angle at centre is equal to arc that subtends it )

Then

∠ UTW = ∠ UTV + VTW = 75° + 55° = 130° → A

Answer:

(-10) and 7

Step-by-step explanation:

-3 = (-10) +(7)= -3 (because + and - give you a - )

-70 = (-10) x (7)= -70

hope it answers your question correctly.

Answer:

26, 64

Step-by-step explanation:

we have :

angle 90°

acute angle x

acute angle 2(x+6)

The sum of the angles in a triangle has to be 180° so

90 +x+2(x+6) = 180

90 +x +2x+12 = 180

3x = 180 -90-12

x= 78/3 = 26°

the other acute angle is 2(26+6) = 64°

Answer:

26, 64

Step-by-step explanation:

We can name the first acute angle x and the second acute angle y. We know that x=2(y+6) but we also need another equation to solve the problem. Since we know that the sum of angles in a triangle is equal to 180 degrees and this is a right triangle, the two acute angles sum will be equal to 90 degrees. That would be our second equation, x+y=90. Now we can just substitute the first equation into the second one: 2(y+6)+y=90 -> 2y+12+y=90 ->3y=78 -> y=26

Now we can substitute y into one of the original equations and solve for x: x+26=90 -> x=64

Answer:

She will have 8 pieces.

Hope you find this helpful!

Answer:

8 packages

Step-by-step explanation:

Answer:

21 shells

Step-by-step explanation:

10+23+21=64

64/3=21.33

always round down, you'll have one left over

Answer:

18

Step-by-step explanation:

10+23+21= 54

54/3=18

Answer:

14

Step-by-step explanation:

okay.. so basically you have 2x+6=34 right? so basically i’m gonna tell you the easiest way to do this

so you’re gonna start off by separating the 2x from the 6=34.

now that you’ve done that, let’s focus on the 6=34. so to get your answer, start by subtracting 6 from 34 so (34 - 6 = 28)

now that you’ve got that, keep the number 28 in mind. youre gonna want to take 2 and multiply by x. but 2x = 28, so what do you multiply by 2 to make 28? 14. so x is 14. to check your work, let’s see.

2 x 14 + 6 = 34?

2 x 14 = 28 + 6 = 34.

34 = 34

so, x is 14. hope this helped!

Step-by-step explanation:

not a solution

(4,3) / (3,10)

solution

)4,-3)...........(2,10)

B: 3(4-3n)

hope this helps

Answer:

(5,2)

Step-by-step explanation:

The midpoint of a line segment is calculated by finding the average of the x values and the average of the y values of the endpoints.

[tex]midpoint=(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2} )[/tex] when the points given are [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]

Plug points F(2,2) and G(8,2) into the equation

[tex]midpoint=(\frac{2+8}{2},\frac{2+2}{2} )\\midpoint=(\frac{10}{2},\frac{4}{2} )\\midpoint=(5,2)[/tex]

Therefore, the midpoint of the line segment with endpoints F and G is (5,2).

I hope this helps!

Answer:

351.68cm

Step-by-step explanation:

Using the attached diagram

Radius of the circle = 56cm

Circumference of the circle =2πr

r is the radius of the circle

Circumference of the circle =2(3.14)(56)

Circumference of the circle = 6.28 *56

Circumference of the circle  = 351.68cm

Hence the circumference area of the circle is 351.68cm

Answer:

$24

Step-by-step explanation:

96 divided by 4

Each ticket cost 24 dollars

Answer:

$24 for each concert ticket.

Step-by-step explanation:

Answer:

[tex]12x^{8}[/tex]

Step-by-step explanation:

Calculate the coefficient by multiplying the numbers:

2 x 6 = 12

Calculate the exponents by adding the numbers:

5 + 3 = 8

Therefore, the coefficient is 12 and the exponent is 8. You get,

[tex]2x^{3} .6x^{5}=12x^{8}[/tex]

Answer:

The formula for finding the area of a trapezoid is ×h

Start by substituting the values given in the problem into the formula

×4

Now Simply/solve

×4

6×4

24

The area of the trapezoid is 24

I hope this helps!!!

Step-by-step explanation:

Answer:

large jar

Step-by-step explanation:

large jar= £1.54 (divide) 440= 0.0035

small jar= £1.26 (divide) 340= 0.0037

as the large jar cost less (0.0035 > 0.0037) the large jar is the best value for money

Answer:

y8

Step-by-step explanation:

Answer:

I think it is 888.89

Step-by-step explanation:

Hope this helps. :D

Answer:

28 plus tht 58

gghhjjjiijcddc viii kiub

Answer:

Step-by-step explanation:

Answer:

the answer would be (3,1) :))

Step-by-step explanation:

Hope this helps :)) Plz mark brainliest :))