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muminat
3 years ago
13

Show that in a quadrilateral ABCD, AB+BC+CD+DA<2(BD+AC)

Mathematics
1 answer:
Snezhnost [94]3 years ago
7 0

Step-by-step explanation:

We know that the length of the diagonals will be more than the side.

Lets suppose the quadrilateral is a rectangle, with sides 6 and 4.

The length of a diagonal is:

√(6*6)+(4*4)

√36+16

√52

7.21(rounded off to 3 sig. fig.)

So, 6+4+6+4<2(7.21+7.21)

20< 2*14.42

20<28.84, which is true.

:)

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A firm produces 16,200 units at a total cost of $37,585.60. Find the cost per unit to the nearest cent.
Julli [10]
There are a total of 16 200 units with a total costs of 37 585.60 dollars. Now, Given with the choices for the answer, let's find out which one is correct. To be able to get the answer, simply divide the total costs, with the total number of units.  => 37 585.60 dollars  / 16 200 units  => 2.3201 dollars per unit.Next, we need to round this cents to the nearest given options.Since the number next to hundredths is less than 5 , the let's round it to : => 2.32. - this is the correct answer.<span>
</span>
3 0
3 years ago
Match the number set or type of number with the correct category
beks73 [17]

An integer is a rational number; 1/2 is a rational ratio with a denominator of 1; 0.4545 is a rational decimal; 0.44 is a irrational decimal and 0 is a rational whole numbers.

<h3>What is the difference between a rational and a irrational number?</h3>

The category irrational number can be applied to numbers that cannot be expresses as ratios or fractions. This includes decimals that do not terminate and are not repeating such as 0.44454...

<h3>On the other hand, rational numbers will include different types of numbers such as:</h3>

Integers: This refers to numbers that are not expressed as fractions.

Rational decimals: This includes repeating decimals such as 0.4545...

Rational ratios: This includes numbers such as 1/2 or 1/4.

Rational whole numbers such as 0,1,2, etc.

Learn more about rational numbers in: brainly.com/question/17450097

#SPJ1

6 0
2 years ago
Solve for the unknown variable 2/5(3x-4)=-4
Elanso [62]

Answer:

x = -2

Step-by-step explanation:

Solve for x:

(2 (3 x - 4))/5 = -4

Multiply both sides of (2 (3 x - 4))/5 = -4 by 5/2:

(5×2 (3 x - 4))/(2×5) = -4×5/2

5/2×2/5 = (5×2)/(2×5):

(5×2)/(2×5) (3 x - 4) = -4×5/2

5/2 (-4) = (5 (-4))/2:

(5×2 (3 x - 4))/(2×5) = (-4×5)/2

(5×2 (3 x - 4))/(2×5) = (2×5)/(2×5)×(3 x - 4) = 3 x - 4:

3 x - 4 = (-4×5)/2

(-4)/2 = (2 (-2))/2 = -2:

3 x - 4 = 5×-2

5 (-2) = -10:

3 x - 4 = -10

Add 4 to both sides:

3 x + (4 - 4) = 4 - 10

4 - 4 = 0:

3 x = 4 - 10

4 - 10 = -6:

3 x = -6

Divide both sides of 3 x = -6 by 3:

(3 x)/3 = (-6)/3

3/3 = 1:

x = (-6)/3

The gcd of -6 and 3 is 3, so (-6)/3 = (3 (-2))/(3×1) = 3/3×-2 = -2:

Answer:  x = -2

6 0
3 years ago
Read 2 more answers
Please i need help with this i dont understand it​
CaHeK987 [17]

Answer:

1. No

2. Right triangle

3. No

4. Right triangle

Step-by-step explanation:

A, B = two smallest sides

C = hypotenuse, largest side

Pythagorean theorem. If A^2 + B^2 = C^2, then you have a right triangle.

6 0
2 years ago
the ratio of men to women at a class is 6 to 5 how many women students are there if there are 3600 men
torisob [31]
Ratio is 6:5
6+5=11

Men: 6 parts of 11 = 3600

6=3600
1=x
X=3600/6
=600.

Women: 5 parts of 11
1 part = 600
5 parts = 600x5
=3000
7 0
3 years ago
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