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4 years ago

What is greatest 1 6/5 or 1 5/8 explain how u solved it

Mathematics

2 answers:

kotegsom [21]4 years ago

7 0

1 6/5 beacause it equals more than 1 5/8

LenaWriter [7]4 years ago

3 0

1 6/5 = 2.2 The fraction 1 6/5 is equal to 1 plus 6 divided by 5 which is equal to 1 plus 1.2 which is equal to 2.2 in decimal.

1 5/8 = 1.625 The fraction 1 5/8 is equal to 1 plus 5 divided by 8 which is equal to 1 plus 0.625 which is equal to 1.625 in decimal.

So 1 6/5 is greater.

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A 9.85 m ladder is placed against a wall. The height to the top of the ladder is 5 m more than the distance between the wall and

Dafna1 [17]

Given:

Length of the ladder = 9.85 m

The height to the top of the ladder is 5 m more than the distance between the wall and the foot of the ladder.

To find:

The height to the top and the distance between the wall and the foot of the ladder.

Solution:

let x be the distance between the wall and the foot of the ladder. Then the height to the top of the ladder is (x+5).

Pythagoras theorem: In a right angle triangle,

$Hypotenuse^2=Base^2+Perpendicular^2$

In the given situation, hypotenuse is the length of ladder, i.e., 9.85 m. The base is x m and the height is (x+5) m.

Using the Pythagoras theorem, we get

$(9.85)^2=x^2+(x+5)^2$

$97.0225=x^2+x^2+10x+25$

$0=2x^2+10x+25-97.0225$

$0=2x^2+10x-72.0225$

Here, $a=2, b=10,c=-72.0225$ . Using the quadratic formula, we get

$x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}$

$x=\dfrac{-10\pm \sqrt{(10)^2-4(2)(-72.0225)}}{2(2)}$

$x=\dfrac{-10\pm \sqrt{676.18}}{4}$

Approximating the value, we get

$x=\dfrac{-10\pm 26}{4}$

$x=\dfrac{-10+26}{4},\dfrac{-10-26}{4}$

$x=\dfrac{16}{4},\dfrac{-36}{4}$

$x=4,-9$

Distance cannot be negative so $x\neq -9.$

Now we have $x=4$

$x+5=4+5$

$x+5=9$

Therefore, the base is 4 m and the height is 9 m.

5 0

3 years ago

Solve for 2/3(9 - 6) + 40<br> and 7/8 - (-1/10) + (-3/5)

masha68 [24]

Answer:

first one is 42

second one is 3/8

Step-by-step explanation:

4 0

3 years ago

Find the dimensions of a rectangle with area 512 m2 whose perimeter is as small as possible. (If both values are the same number

Masja [62]

Answer:

Step-by-step explanation:

Length the length and breadth of the rectangle be x and y.

Area of the rectangle A = Length * breadth

Perimeter P = 2(Length + Breadth)

A = xy and P = 2(x+y)

If the area of the rectangle is 512m², then 512 = xy

x = 512/y

Substituting x = 512/y into the formula for calculating the perimeter;

P = 2(512/y + y)

P = 1024/y + 2y

To get the value of y, we will set dP/dy to zero and solve.

dP/dy = -1024y⁻² + 2

-1024y⁻² + 2 = 0

-1024y⁻² = -2

512y⁻² = 1

y⁻² = 1/512

1/y² = 1/512

y² = 512

y = √512 m

On testing for minimum, we must know that the perimeter is at the minimum when y = √512

From xy = 512

x(√512) = 512

x = 512/√512

On rationalizing, x = 512/√512 * √512 /√512

x = 512√512 /512

x = √512 m

Hence, the dimensions of a rectangle is √512 m by √512 m

5 0

4 years ago

2а + 20 = -3а - 5 pls help

sammy [17]

Answer: A= -5

Step-by-step explanation:

4 0

2 years ago

Read 2 more answers

Barney has 16 1/5 yards of fabric. To make an elf costume, he needs 5 2/5 yards of fabric. How many costumes can Barney make?

9966 [12]

To get the answer, first, you need to turn them into decimals
16 1/5 =16.2 and 5 2/5 =5.4
then all you need to do is to divide the numbers
16.2 divided by 5.4 equals to 3
so the answer is 3

6 0

3 years ago