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3 years ago

Least to greatest 3.445,3.26, 3 4/9,,69/20

Mathematics

1 answer:

sp2606 [1]3 years ago

5 0

Answer

3.26< 3 4/9< 3.445< 69/20

Explanation

3 4/9= 3.4444444444

69/20= 3.45

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What is the slope of the line that passes through the points (8, 4) and (20, -4) ?

enyata [817]

Answer:

m = -2/3

Step-by-step explanation:

m = (y2-y1)/(x2-x1)

m = (-4-4)/(20-8)

m = -8/12

m = -2/3

8 0

4 years ago

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

4 years ago

Mr James sells saltfish at his shop. On a certain day five people bought 1/4 pound of saltfish each, while four people bought 1/

kompoz [17]

5 x 1/4 = 1 1/4 or 1.25
4 x 1/2 = 2
1.25 + 2 = 3.25 or 3 and 1/4

5 0

4 years ago

Read 2 more answers

The following tables each show the inventory of a warehouse and the number of orders for four different products which have been

snow_lady [41]

Orders: x
Inventory: y

1) First table
x2-x1=6-3→x2-x1=3
y2-y1=1920-1960→y2-y1=-40

x3-x2=9-6→x3-x2=3=x2-x1
y3-y2=1900-1920→y3-y2=-20 different to y2-y1=-40. The table does not represent a linear relationship.

2) Second table
x2-x1=7-5→x2-x1=2
y2-y1=1860-1900→y2-y1=-40

x3-x2=9-7→x3-x2=2=x2-x1
y3-y2=1820-1860→y3-y2=-40=y2-y1

x4-x3=11-9→x4-x3=2=x3-x2
y4-y3=1780-1820→y4-y3=-40=y3-y2

x5-x4=13-11→x5-x4=2=x4-x3
y5-y4=1740-1780→y5-y4=-40=y4-y3

The table represents a linear relationship.

3) Third table
x2-x1=2-1→x2-x1=1
y2-y1=1000-2000→y2-y1=-1000

x3-x2=3-2→x3-x2=1=x2-x1
y3-y2=500-1000→y3-y2=-500 different to y2-y1=-1000. The table does not represent a linear relationship.

4) Fourth table
x2-x1=6-4→x2-x1=2
y2-y1=1640-1840→y2-y1=-200

x3-x2=8-6→x3-x2=2=x2-x1
y3-y2=1360-1640→y3-y2=-280 different to y2-y1=-200. The table does not represent a linear relationship.

Answer: The second <span>table best represents a linear relationship.</span>

8 0

4 years ago

Read 2 more answers

3 3/8 plus 5/12_______<br> Ps simplest form

Crank

3 3/8= 27/8
27/8= 81/24
5/12= 10/24
91/24
3 19/24

I'm pretty sure that's the answer in simplest form

5 0

3 years ago