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3 years ago

What is the area to my question

Mathematics

1 answer:

Alex787 [66]3 years ago

6 0

Answer:

Step-by-step explanation:

Find the area of the triangle and subtract that from the area of the rectangle to get your answer.

32-[(4*2)/2]

32-4

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How many different 4 digit even numbers can be written using 0,5,6,3,8,7?

kherson [118]

Step-by-step explanation:

I assume the digits cannot be repeated in the numbers.

and that we don't want any numbers that start with 0, as that would be considered a 3- digit number, right ?

so, under these assumptions we have the question of in how many ways can we pull 4 digits out of 6.

if the sequence of the pulled digits would not matter, it would be combinations C(6, 4).

but because we are building actual numbers, the sequence does matter, and we use permutations P(6, 4).

P(6, 4) = 6!/(6-4)! = 6!/2! = 6×5×4×3 = 360

so, we can create 360 different numbers.

but not all of them are wanted.

we don't want the ones that start with 0. how many are those ?

since we are handling all digits in the same way and priority, there are an equal amount of numbers that start with a 0, or a 5, or a 6, or a 3, or a 8, or a 7.

so, 1/6 of the 360 numbers start with a 0, and we need to subtract them :

360 - 60 = 300 really 4-digit numbers

and from these 300 we only want even numbers. that means they can only end with 0, 6 or 8.

in the same way as for the first position, we have 1/6 of the more 300 numbers that end with one of these digits.

we allow 3 digits, so we have

3×1/6 × 300 = 1/2 × 300 = 150

that means we can write 150 different 4-digit even numbers out of these 6 digits.

6 0

2 years ago

Factor completely. 5x2 – 46x + 9

icang [17]

Answer:

(5x−1)(x−9)

Step-by-step explanation:

Factorise 5x²−46x+9

5x2−46x+9

=(5x−1)(x−9)

3 0

3 years ago

Read 2 more answers

In the given figure PQ is a transversal intersecting lines AB and CD. Find the measures of angles x and y. Hence prove AB//CD.

tekilochka [14]

Explanation:

From the given figure ,

AB || CD

PQ is a transversal

Given angles are 50° and 130°

50° and x are linear pair

⇛ 50°+x = 180°

⇛ x = 180°-50°

⇛ x = 130°

Therefore, "x" = 130°

and

130° and y are vertically opposite angles which are equal.

⇛ "y" = 130°

Therefore, y = 130°

Additional comment:-

If two parallel lines Intersected by a transversal then
Corresponding angles are equal.
Vertically Opposite angles are equal.
The sum of two adjacent angles is equal to 180° then they are called Linear Pair.

3 0

2 years ago

What is the value of 6 in 4.769

mixer [17]

The correct answer is:

6/100.

Explanation:

We look at place value to answer this. The digit in front of the decimal is the ones; directly after the decimal we have the tenths; behind this we have the hundredths; and behind this we have the thousandths.

6 is two places behind the decimal; this is the hundredths place. This means it is six hundredths, or 6/100.

7 0

3 years ago

Read 2 more answers

Can someone help me with questions 10, 11, and 12?

melisa1 [442]

10 would be real and a rational number and 11 would be real and a integer

8 0

2 years ago