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4 years ago

Match each point with one of the following fractions 5/6, 7/12, 1/8, 5/16

Mathematics

2 answers:

BabaBlast [244]4 years ago

3 0

What you need to do is make each fraction into a decimal and then put them in order from least to greatest.

7/12=0.583

1/8= 0.125

5/16= 0.3125

5/6= 0.83

The order for this is 0.3125, 0.125, 0.583, and 0.83. So the answer is last option

Crank4 years ago

3 0

Answer:

The correct option is A= 1/8 B= 5/16 C= 7/12 D= 5/6

Step-by-step explanation:

Consider the provided fractions.

First convert each fraction into decimal form as shown:

5/6 = 0.833..

7/12 = 0.5833..

1/8 = 0.125

5/16 = 0.3125

The largest number among them is 0.833.. i.e 5/6 and the smallest number among them is 0.125 i.e 1/8

Arrange them in increasing order as shown:

0.125, 0.3125, 0.5833.., 0.833.. or 1/8, 5/16, 7/12, 5/6

Now consider the provided figure. The alphabets are showing the number are in increasing order

Thus, the correct option is A= 1/8 B= 5/16 C= 7/12 D= 5/6

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Daniel created an intersection with his race track. One of the angles at the intersection is 55°. What are the three other angle

melomori [17]

Answer:

55, 125 and 125

Step-by-step explanation:

In this question, we are asked to find the other 3 angles in an intersection.

Please check attachment for what the diagram of the intersection might look like.

The intersection consists simply of 4 angles meeting at a point with the 2 angles on each side vertically opposite to the angles on the other side.

since one of the angles is 55, and we are having a straight line, the other angle would be 180-55 = 125.[ sum of angles on a straight line is 180]

These two angles are vertically opposite, this means that the other three angles are 55,125 and 125.

3 0

3 years ago

Solve the system equations and choose the correct ordered pair 3x+2y=12 6x+3y=21

Harrizon [31]

Answer:

(2, 3).

Step-by-step explanation:

3x+2y=12

6x+3y=21 Multiply the first equation by 3 and the second by 2:

9x + 6y = 36

12x + 6y = 42 Subtract:

-3x = -6

x = -6/-3 = 2.

Plug x = 2 into the first equation:

3(2) + 2y = 12

2y = 12 - 3(2)

2y = 6

y = 3.

6 0

3 years ago

Simplify: 4x + 6(3x - 2) A) 10x - 12 B) 18x - 12 C) 22x - 12 D) 30x2 - 20x

alekssr [168]

C have goood luck bye

4 0

3 years ago

An open top box is to be built with a rectangular base whose length is twice its width and with a volume of 36 ft 3 . Find the d

denpristay [2]

Answer:

The dimensions of the box that minimize the materials used is $6\times 3\times 2\ ft$

Step-by-step explanation:

Given : An open top box is to be built with a rectangular base whose length is twice its width and with a volume of 36 ft³.

To find : The dimensions of the box that minimize the materials used ?

Solution :

An open top box is to be built with a rectangular base whose length is twice its width.

Here, width = w

Length = 2w

Height = h

The volume of the box V=36 ft³

i.e. $w\times 2w\times h=36$

$h=\frac{18}{w^2}$

The equation form when top is open,

$f(w)=2w^2+2wh+2(2w)h$

Substitute the value of h,

$f(w)=2w^2+2w(\frac{18}{w^2})+2(2w)(\frac{18}{w^2})$

$f(w)=2w^2+\frac{36}{w}+\frac{72}{w}$

$f(w)=2w^2+\frac{108}{w}$

Derivate w.r.t 'w',

$f'(w)=4w-\frac{108}{w^2}$

For critical point put it to zero,

$4w-\frac{108}{w^2}=0$

$4w=\frac{108}{w^2}$

$w^3=27$

$w^3=3^3$

$w=3$

Derivate the function again w.r.t 'w',

$f''(w)=4+\frac{216}{w^3}$

For w=3, $f''(3)=4+\frac{216}{3^3}=12 >0$

So, it is minimum at w=3.

Now, the dimensions of the box is

Width = 3 ft.

Length = 2(3)= 6 ft

Height = $\frac{18}{3^2}=2\ ft$

Therefore, the dimensions of the box that minimize the materials used is $6\times 3\times 2\ ft$

4 0

4 years ago

2(x-3)^2+10=82 solve by isolating x

Leviafan [203]

We have the following equation:
2 (x-3) ^ 2 + 10 = 82
We must clear x.
We pass the constant terms to one side of the equation:
2 (x-3) ^ 2 = 82 - 10
2 (x-3) ^ 2 = 72
(x-3) ^ 2 = 72/2
(x-3) ^ 2 = 36
Square root to both members:
x-3 = +/- root (36)
x-3 = +/- 6
The solutions are:
x1 = 6 + 3 = 9
x2 = -6 + 3 = -3
Answer:
x1 = 9
x2 = -3

7 0

3 years ago