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3 years ago

What is the length of BD , given that figure ABCD is a rectangle and AC = 26?

Mathematics

2 answers:

VMariaS [17]3 years ago

6 0

What is the length of BD given that figures ABCD is a rectangle and AC=26

PolarNik [594]3 years ago

5 0

Rectangle is a four sided shape with straight sides, interior angles of 90 degrees and what’s important for this question : opposite sides with equal length.

In the ABCD rectangle, opposite sides are AD and BC, which means their length is the same AD=BC and AC and BD , AB=CD. The diagonals all have same length in a rectangle. This means that the length of the diagonal BD is the same as the length of the diagonal AC, and BD=26cm. (Solution A)

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Which difference will be positive? -4 - (-5) -4 - 3 8 - 9 -6 - (-4)

slamgirl [31]

The 1st one -4 - (-5) equals 1

4 0

3 years ago

How are adding and subtracting integers related to adding and subtracting rational nunbers

Sidana [21]

Answer:

They are related because most of the integer numbers are similar to rational numbers. Also, when subtracting, it is basically like adding a negative number whitch is a integer. They are related because the equations have both integer and rational numbers in it.

Step-by-step explanation:

7 0

3 years ago

Salama makes fruit baskets with oranges and bananas.

vovangra [49]

The ratio for problem is:

oranges : bananas = 9 : 6 or oranges : bananas = 6 : 4

Solution:

Given that, Salama makes fruit baskets with oranges and bananas

She uses between 8 and 16 oranges and bananas in a ratio of 3 oranges to 2 bananas

Given ratio is:

Ratio of orange to bananas = 3 : 2

They add up to 5 fruits, so some possible values are 5, 10, 15 , 20, 25, etc

But we need a value between 8 and 16 oranges and bananas

So we can choose 15 or 10

Now let us choose 15 and solve

Let the oranges be 3x

Let the bananas be 2x

Therefore,

3x + 2x = 15

5x = 15

x = 3

Thus oranges = 3x = 3(3) = 9

Bananas = 2x = 2(3) = 6

Thus the ratio for problem is:

oranges : bananas = 9 : 6

Similarly solve for 10

3x + 2x = 10

5x = 10

x = 2

Thus oranges = 3x = 3(2) = 6

Bananas = 2x = 2(2) = 4

Thus the ratio for problem is:

oranges : bananas = 6 : 4

8 0

3 years ago

In a survey of 300 house wires. It was discovered

ruslelena [56]

Answer:

46 housewives read all three magazines.

Step-by-step explanation:

Given:

n(A) = 150

n(B) = 200

n(C) = 156

n(A∩B) = 48

n(B∩C) = 60

n(A∩C) = 52

n(A∪B∪C) = 300

so we know the relation as:

n(A∪B∪C) = n(A) + n(B) + n(C) - n(A∩B) - n(B∩C) - n(A∩C) + n(A∩B∩C)

∴ n(A∩B∩C) = n(A) + n(B) + n(C) - n(A∩B) - n(B∩C) - n(A∩C) - n(A∪B∪C)

= 150 + 200+ 156 - 48 - 60 - 52 - 300

= 46

Hence the number of housewives that had read all three magazine is 46.

8 0

3 years ago

What is the value of the following expression?2 x [(12 + 2) x 5] + 32 divided by 2 number on top right 3

a_sh-v [17]

The value of the expression is $141.5$

Explanation:

The expression is $2 \times[(12+2) \times 5]+\frac{3}{2}$

The value of the expression can be determined using the rule PEMDAS.

According to the PEMDAS rule, first we need to perform the operation which is within the parenthesis.

Thus, the expression becomes,

$2 \times(14 \times 5)+\frac{3}{2}$

Multiplying the values within parenthesis, we have,

$2 \times70+\frac{3}{2}$

Using PEMDAS, we need to multiply the numbers.

$140+\frac{3}{2}$

Again using PEMDAS rule, divide the number,

$140+1.5$

Finally, using PEMDAS, let us add the values, we have,

$141.5$

Thus, the value of the expression is $141.5$

7 0

3 years ago