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Leno4ka [110]
3 years ago
9

What is the length of the longer diagonal of a rhombus if its area is 16 and the length of one of the diagonals is 8?

Mathematics
1 answer:
ss7ja [257]3 years ago
4 0
The area for a rhombus is A= \frac{1}{2}( d_{1} d_{2}  ).  We have the area and the length of one of the diagonals, so we fill in accordingly: 16= \frac{1}{2} (8x).  8x/2 = 4x, so now we have 16=4x.  Divide both sides by 4 to get x = 4.  It's not longer than 8, but it's the length of the other diagonal, for sure.
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(5x+2) and {3(x+14)} what is
Phoenix [80]

Answer:

Step-by-step explanation:

x=20

Reorder the terms:

(2 + 5x) = 3(x + 14)

Remove parenthesis around (2 + 5x)

2 + 5x = 3(x + 14)

Reorder the terms:

2 + 5x = 3(14 + x)

2 + 5x = (14 * 3 + x * 3)

2 + 5x = (42 + 3x)

Solving

2 + 5x = 42 + 3x

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-3x' to each side of the equation.

2 + 5x + -3x = 42 + 3x + -3x

Combine like terms: 5x + -3x = 2x

2 + 2x = 42 + 3x + -3x

Combine like terms: 3x + -3x = 0

2 + 2x = 42 + 0

2 + 2x = 42

Add '-2' to each side of the equation.

2 + -2 + 2x = 42 + -2

Combine like terms: 2 + -2 = 0

0 + 2x = 42 + -2

2x = 42 + -2

Combine like terms: 42 + -2 = 40

2x = 40

Divide each side by '2'.

x = 20

Simplifying

x = 20

7 0
3 years ago
Is 1.32 a rational number or integer
Ivahew [28]

Answer:

A rational number.

Step-by-step explanation

A rational number is a ratio of whole numbers.

1/3 is the ratio of 1:3

3:1 becomes 3/1 = 3

32:10 can be written 32/10 or 16/5 or 3.2

16/5 is a rational number 16 and 5 are integers, 5 is not equal to 0.

Therefore, 3.2 which can be expressed as 16/5 is a rational number.

6 0
3 years ago
Which is greater, 1 5/8 or 1 2/3 how can you be sure?
krek1111 [17]
Lets get these into improper fractions. 

1*8 + 5 = 8+5 = 13

13/8 

1*3 + 2 = 3+2 = 5

5/3

Now divide

13/8 = 1.625
5/3 = 1.6666

1  2/3 is larger 
8 0
3 years ago
Read 2 more answers
Plz help ASAP! I URGENTLY NEED HELP!
Greeley [361]
Yes is the answer click it
5 0
3 years ago
What is the measure of angle A?
antoniya [11.8K]

Answer:

A = 19.47

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

sin theta = opp / hypotenuse

sin A = 2/6

Take the inverse sin of each side

sin ^-1 ( sin A) = sin ^-1 (2/6)

A =19.47122063

To the nearest hundredth

A = 19.47

3 0
3 years ago
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