Also round answers to three decimal places

A test consists of 20 problems and students are told to answer any 10 of these questions. In how many different ways can they ch

Furkat [3]

We must find UNIQUE combinations because choosing a,b,c,d... is the same as d,c,b,a...etc. For this type of problem you use the "n choose k" formula...

n!/(k!(n-k)!), n=total number of choices available, k=number of choices made..

In this case:

20!/(10!(20-10)!)

20!/(10!*10!)

184756

3 0

3 years ago

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Which inequality best represents that ice cream at −5°C is cooler than ice cream at 4°C?

konstantin123 [22]

(<) this means less than
(>) this means greater than
So since the question doesnt say anything about -4°C we can automatically cross out A and B
They are both negative! but when you have a negative. Its going to be less than a positive
So this means 4°C is greater than -5°C
or in other words
D.) 4°C > -5°C
hope this helps!
and dont forget 2
MARK ME BRAINLIEST!
=)

3 0

4 years ago

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the surface area of a cuboid is 95cm² and its lateral surface area is 63cm². find the area of its base

wel

Answer:

The Area of the base is 16 cm² .

Step-by-step explanation:

Given as :

The surface area of the cuboid = x = 95 cm²

The lateral surface area of the cuboid = y = 63 cm²

Let The Area of the base = z cm²

Now, Let The length of cuboid = l cm

The breadth of cuboid = b cm

The height of cuboid = h cm

According to question

∵ The surface area of the cuboid = 2 ×(length × breadth + breadth × height + height × length)

Or, x = 2 ×(l × b + b × h + h × l)

Or, 95 = 2 ×(l × b + b × h + h × l)

Or, (l × b + b × h + h × l) = $\dfrac{95}{2}$ ....1

Similarly

∵lateral surface area of the cuboid = 2 ×(breadth × height + length × height)

Or, y = 2 ×(b × h + l × h)

Or, 2 ×(b × h + l × h) = 63

Or, (b × h + l × h) = $\dfrac{63}{2}$ ......2

Putting value of eq 2 into eq 1

so, (l × b + $\dfrac{63}{2}$ ) = $\dfrac{95}{2}$

Or, l × b = $\dfrac{95}{2}$ - $\dfrac{63}{2}$

Or, l × b = $\dfrac{95 - 63}{2}$

i.e l × b = $\dfrac{32}{2}$

so, l × b = 16

Now, Again

∵The Area of the base = ( length × breadth ) cm²

So, z = l × b

i.e z = 16 cm²

So, The Area of the base = z = 16 cm²

Hence,The Area of the base is 16 cm² . Answer

5 0

3 years ago

(HELP ME ASAP PLEASE) In the following diagram, A || B.

vladimir1956 [14]

Answer:

m<6=77°

Step-by-step explanation:

Because the angles marked 3x+5 and 4x+7 are same side exterior angles, they are supplementary, meaning that

3x+5°+4x+7°=180°

7x+12°=180°

7x=168°

x=24°

Because the angles marked 6 and 3x+5 are corresponding angles, they are congruent, so:

<6=24*3+5

<6=77°

7 0

2 years ago

Please help for both will give brainly

Nesterboy [21]

Answer:

lol 60 because there is a 40% chance out of 100% because its chances and not like a store! its chances so its 100% not productivity which leads to an infinite number

4 0

3 years ago

Also round answers to three decimal places​

Also round answers to three decimal places