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1 year ago

What is the lateral surface area of the solid? Assume the top and bottom of

Mathematics

2 answers:

notka56 [123]1 year ago

8 0

All you have to do is multiply them all up to get you answer which is 140 cm2

timama [110]1 year ago

4 0

Check the picture below.

so the lateral area will be just the area of the sides, namely excluding the bases at top and bottom, thus

$\stackrel{\textit{\LARGE Lateral Area}}{\stackrel{\textit{front and back}}{2(4)(5)}~~ + ~~\stackrel{\textit{left and right}}{2(4)(7)}}\implies 40~~ + ~~56\implies 96~cm^2$

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What is another way to write (2x - 3)?

Norma-Jean [14]

Answer:

See below

Step-by-step explanation:

Many ways...

x+x-3

2x-6+3

5x-3x-3

(4x-6)/2

And the list goes on...

8 0

3 years ago

Read 2 more answers

Need help with this one

steposvetlana [31]

Answer:

∠TRS = 40°

Step-by-step explanation:

∠UTS is an exterior angle of the triangle

The exterior angle of a triangle is equal to the sum of the 2 opposite interior angles, that is

∠UTS = ∠TRS + ∠RST

9x - 15 = 3x + 16 + x + 9

9x - 15 = 4x + 25 ( subtract 4x from both sides )

5x - 15 = 25 ( add 15 to both sides )

5x = 40 ( divide both sides by 5 )

x = 8

∠TRS = 3x + 16 = (3 × 8) + 16 = 24 + 16 = 40°

4 0

3 years ago

Solve the following system of equations using elimination (Do not multipy)

aivan3 [116]

1) 5x - 6y = -32 --> equation 1
3x + 6y = 48 --> equation 2
eliminating y from both of the equations and adding the rest of the terms
we get,
8x = 16
dividing 8 on both sides
x = 2
Substituting the value of x in equation 1
5(2) - 6y = -32
10 - 6y = -32
-6y = -12 ( dividing both sides by -6)
y = 2

2) -3x - 3y = 9 ---> equation 1
3x - 4y = 5 --> equation 2
eliminating x from both equations and adding the rest of the terms
we get,
-7y = 14 ( dividing both sides by -7 )
y = -2
Substituting the value of y in the equation 1
-3x - 3(-2) =9
-3x + 6 = 9 (subtracting both sides by -6)
-3x = 3
x = -1

Hope this helps you.. :)

5 0

3 years ago

Read 2 more answers

Please help I have spent hours trying to do...

Igoryamba

Answer:

914.4 mm
0.0479594 km

Step-by-step explanation:

For units conversion, use a conversion factor ratio with the units you do want in the numerator and the units you don't want in the denominator. The numbers in the numerator and denominator give the ratio a value of 1: the numerator is equal to the denominator--just in different units.

1. For feet to mm, you need a couple of additional conversion factors besides the ones shown:

1 foot = 12 in

1 cm = 10 mm

So, the conversion is ...

$(3\text{ ft})\times\dfrac{12\text{ in}}{1\text{ ft}}\times\dfrac{2.54\text{ cm}}{1\text{ in}}\times\dfrac{10\text{ mm}}{1\text{ cm}}=3\times12\times2.54\times10\text{ mm}\\\\=\boxed{914.4\text{ mm}}$

2. The additional factor you need for this problem is ...

1 mile = 5280 feet

So, the conversion is ...

$(157\text{ ft})\times\dfrac{1\text{ mi}}{5280\text{ ft}}\times\dfrac{1\text{ km}}{0.62\text{ mi}}=\dfrac{157}{5280\times0.62}\text{ km}\\\\\approx\boxed{0.0479594\text{ km}}$

_____

<em>Additional comment</em>

You can use Google to do units conversion by typing "3 feet to mm" or "157 feet to km". However, the conversion factor for the latter will be more exact than the one given in this problem. Hence the Google answer to the second question will not be applicable here.

7 0

3 years ago

Alex needs 80 cm of thread for a sewing project. The thread is on a spool with a circumference of 10 cm. How many times must ale

Mrrafil [7]

<u>Answer:</u>

If the spool has 10 cm of circumference or perimeter, this means that 10 cm of thread fits the whole circumference of the spool, which also means that

<h2>1 unwind is equivalent to 10 cm of thread. </h2>

Then, we have to make the following question:

If 10 cm of thread is equivalent to 1 unwind, to how many unwinds is equivalent 80 cm of thread?

If we want to know how many time does Alex need to unwind the spool, we can use the following relation also called the <u>Rule of Three: </u>

$10 cm----1 unwind$