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3 years ago

BRAINLIEST AND 39 POINTS

1 answer:

7 0

You have 10 numbers to choose from, and you're choosing 4 from that pool. Order of the numbers matters, because having 1234 as a PIN is not the same having it be 1324, so we're counting the number of permutations of 10 digits taken 4 at a time. So there are

$4!\dbinom{10}4=4!C(10,4)=4!C^{10}_4=\dfrac{10!}{(10-4)!}=5040$

possible PINs that can be made.

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The perimeter of the rectangle is 80 cm. The area of the rectangle is acm2 . (i) show that x 2 40x + a = 0.

erica [24]

Answer:

Proved

Step-by-step explanation:

Given

$p = 80$ ---- perimeter

$a \to area$

Required

$x^2 + 40x + a = 0$

The perimeter is calculated as:

$p = 2(x + y)$

Where

$x,y \to$ the rectangle dimension

So, we have:

$2(x + y) = 80$

Divide by 2

$x + y = 40$

Make y the subject

$y = 40 - x$

The area of the rectangle is:

$a = xy$

$a = x * (40 -x)$

$a = 40x -x^2$

Equate to 0:

$x^2 - 40x + a = 0$

4 0

3 years ago

PLS HELP TON OF POINTS AND BRAINLIEST

ladessa [460]

Answer:

sss axiom

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

A bowl of soup at 95!C (too hot) is placed in a 22!C room. One minute later, the soup has cooled to 83!C. When will the temperat

worty [1.4K]

Answer:

in 3 minutes and 50 seconds

Step-by-step explanation:

soup = 95c

after 1 minute = 83c

after 2 minutes = 71c

after 3 minutes = 59

soup cools down 0.2c in 1 seconds

so 10 seconds = 2c

in 3 minutes and 50 seconds = 49c

4 0

3 years ago

How many terms are in the expression -6+8-10x+12-r

xxTIMURxx [149]

Answer:

3 terms

Step-by-step explanation:

10x

-6+8+12 (constant)

4 0

4 years ago

kylie drank 35% of 400-mL container of water.Eugenia drank 45% of a 350-mL.Who drank more water?How do you know? I will have mor

GREYUIT [131]

In the question, there are two people with different percentage of drinking water from different quantities.
Taking the first case of Kylie we get that he drank 35% water of 400ml
Then
35% of 400 ml = (35/100) * 400 ml
   = (35 * 4) ml
   = 140 ml
So Kylie drank a total of 140 ml water.
Now taking the case of Eugenia we get that he drank 45% of 350 ml water.
Then
45% of 350 ml = (45/100) * 350
   = 1575/10 ml
   = 157.5 ml
So Eugenia drank 157.5 ml of water. Then we can conclude that Eugenia drank more water than Kylie.

5 0

3 years ago