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3 years ago

Please help. Whats the algebraic expression for: The quotient of 5 and twice a number

Mathematics

2 answers:

Stolb23 [73]3 years ago

3 0

Answer:

5/2x

(5 divided by 2 times (twice) a number)

("x" is considered as the unknown number)

Hope this helps

aleksklad [387]3 years ago

3 0

The answer is 5/2x

It asks for a quotient meaning that you should divide 5 by twice a number

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In parallelogram ABCD, AB = 16 cm, DA = 3<img src="https://tex.z-dn.net/?f=%5Csqrt%7B2%7D" id="TexFormula1" title="\sqrt{2}" alt

Murljashka [212]

Answer:

length of segment YZ is 8 cm

Step-by-step explanation:

given data

AB = 16 cm

DA = 3 $\sqrt{2}$ cm

AB and DA form interior angle = 45-degre

WX ≠ YZ

WX = 16 cm

to find out

length of segment YZ

solution

area of △ABD is the same as the area of △BCD

and

area of △ABD is express as

area of △ABD = AB × AD × sin(45) ÷ 2 ............1

put here value

area of △ABD = 16 × 3√2 × sin(45) ÷ 2

area of △ABD = 24

and

area of the parallelogram is

area of the parallelogram = 24 × 2

area of the parallelogram = 48

now we will consider here YZ = x

and Since ZY XW is isosceles trapezoid

so here we can say that

WM = ZM = (16 - x) ÷ 2 .......................2

so area of trapezoid will be

area of trapezoid = $\frac{ZY + WX }{2} \times ZM$ .......................3

area of trapezoid = $\frac{x+16}{2} \times \frac{16 - x}{2}$

48 = $\frac{x+16}{2} \times \frac{16 - x}{2}$

solve it we get

x = 8

so length of segment YZ is 8 cm

7 0

3 years ago

The longest side of a triangle is 4 more than twice the shortest. The third side is 3 more than the shortest. The perimeter is 3

kondaur [170]

Answer:

The shortest side = 6

The third side = 9

The hypotenuse (the longest side) = 16

Step-by-step explanation:

First, let's establish the following based on the information given:

The shortest side = x

The third side = (x + 3)

The hypotenuse (the longest side) = (2x + 4)

The perimeter = 31

Since the perimeter is the total of all 3 sides, we are left with this equation:

(x) + (x + 3) + (2x + 4) = 31

From here, combine like-terms and solve for x.

(x) + (x + 3) + (2x + 4) = 31

(4x + 7) = 31

4x = 24

x = 6

Now that we know the value of x, we can apply this to the predetermined formulas to find the measurements of the remaining two sides.

The shortest side = 6

The third side = (x + 3) = 9

The hypotenuse (the longest side) = (2x + 4) = (2(6) + 4) = (12 + 4) = 16

To check, add all of the sides together to make sure they equal 31.

6 + 9 + 16 = 31

~Hope this Helps!~

7 0

3 years ago

POINTS X, Y and Z are COLLinear. You are given

Anon25 [30]

Answer:

129

Step-by-step explanation:

Collinear means that the points X, Y, and Z are on the same line. The question asks for one possible value of YZ, so for this, let's assume point X is between Point Y and Point Z.

This means...

XY+XZ=YZ

54+75=YZ

YZ=129

5 0

2 years ago

Please help!! this test will bring my grade up

Nutka1998 [239]

I believe it’s C not sure

8 0

2 years ago

Read 2 more answers

Tonya plans to join a fitness club. She researched the costs to join different clubs in her area and found that there is a linea

Ne4ueva [31]

Answer: 1 club - Club 2

Step-by-step explanation:

You can find the monthly rates by deducting the cost at 12 months from the cost at 24 months and dividing it by 12.

Club 1 Club 2 Club 3

= (432 - 216) / 12 = (390 - 210) / 12 = (504 - 252) / 12

= $18 = $15 = $21

Multiply these rates by 6 months and any club total cost at 6 month that differs from your answer has a joining fee.

Club 1; Club 2; Club 3

= 18 * 6 = 15 * 6 = 21 * 6

= $108 = $90 = $126

Same as total cost at Joining fee of $30; No joining fee as

6 months so no joining 120 - 90 = $30 this is the same

fee. as total cost at 6

months.

5 0

3 years ago

Read 2 more answers