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3 years ago

Choose all items where the equation matches the given table

Mathematics

1 answer:

sdas [7]3 years ago

3 0

Answer:

1st, 3rd, 4th

Step-by-step explanation:

1st one: 43 x

multiply x by 43

7 x 43 = 301

7 x 43 = 258

10 x 43 = 430

3 x 43 = 129

4 x 43 = 172

(correct)

2nd one: 12x

multiply x by 12

2 x 12= 32

we know that 2 x 12 is 2 so this equation does not work

(incorrect)

3rd one: 202x

multiply x by 202

6 x 202 = 1212

4 x 202 = 808

10 x 202 = 2020

3 x 202 = 606

8 x 202 = 1616

(correct)

4th one: 13x

multiply x by 3

9 x 13 = 117

2 x 13 = 26

7 x 13 = 91

3 x 13 = 36

10 x 13 = 130

(correct)

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What type of triangle has side lengths 9, 10, and √130? A. obtuse B. not a triangle C. acute D. right

EastWind [94]

Answer: Option C.

Step-by-step explanation:

The lengths of our triangle are:

9, 10 and √130.

If the triangle is a triangle rectangle, by the Pitagoream's theorem we have:

A^2 + B^2 = H^2

in this case H is the larger side, this must be √130.

then:

A and B must be 9 and 10.

9^2 + 10^2 = (√130)^2

81 + 100 = 130

This is false, so this is NOT a triangle rectangle, the hypotenuse is shorter than it should be.

Now, we have some kind of rule:

if A^2 + B^2 = H^2 then we have one angle of 90° and two smaller ones. (triangle rectangle)

if A^2 + B^2 > H^2 then all the angles are smaller than 90°, this is an acute triangle.

if A^2 + B^2 < H^2 then we have one angle larger than 90°, this is an obtuse angle.

(H is always the larger side, A and B are the two shorter ones).

In this case:

81 + 100 > 130

Then this must be an acute angle.

3 0

3 years ago

List the factors of 48 and 54

sergeinik [125]

48: 1, 2, 3, 4, 6, 8, 12, 16, 24, 48

54: 1, 2, 3, 6, 9, 18, 27, 54

gcf: 6

4 0

3 years ago

What’s the missing factor?

Vesna [10]

The missing factor is 1 5/8

Step-by-step explanation:

Let us consider the missing factor has 'x'

The given expression is 4 1/2 - x = 2 7/8

To find x :

The first step is to bring all the constant terms on on side and x on the other side,

⇒ 4 1/2 - 2 7/8 = x

Now, the numbers are in improper fraction (mixed fraction). So you have to convert them into proper fraction.

To convert the improper fraction 4 1/2 into proper fraction,

Multiply the denominator 2 with 4 and the result 8 is added with the numerator 1.

⇒ 4 1/2 = 9/2.

To convert the improper fraction 2 7/8 into proper fraction,

Multiply the denominator 8 with 2 and the result 16 is added with the numerator 7.

⇒ 2 7/8 = 23/8.

Now replace them in the given expression. The expression becomes as :

⇒ (9/2) - (23/8) = x

Cross multiply 2 and 8,

⇒ (72 - 46) / 16 = x

⇒ 26 / 16 = x

⇒ 13/8 = x

The x value is 13/8. You have to convert it into mixed fraction (since the question is given in the form of mixed fraction).

To convert into mixed fraction,

Divide 13 by 8 and write them in the form of Quotient (Reminder / Divisor).

⇒ 13 ÷ 8

⇒ 1 (quotient)

⇒ 5 (remainder)

The divisor is 8.

Therefore, x = 13/8 can be written as 1 5/8.

The missing factor is 1 5/8.

8 0

3 years ago

C is between B and D BC = 8x +13 CD= 12x -73 BD =320 find the value of x

pentagon [3]

Answer:

...

Step-by-step explanation:

7 0

3 years ago

Read 2 more answers

There are 21 students in an Math 111 class at Schoolcraft. Suppose you wanted to determine how many ways there are to select 5 s

Nady [450]

Answer:

<h2> Combination</h2>

Step-by-step explanation:

In this case the order of selection does not matter since we are concerned in the number of ways possible a set of students (5) can be grouped for a project, we are going to be using combination technique

In permutation the order of selection matters hence will not give the desired result

5 0

3 years ago