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RSB [31]
3 years ago
11

How to do step by step this

Mathematics
2 answers:
timofeeve [1]3 years ago
8 0

Answer:

1/4 - (2/5 + (1/3 - (3 - 7/2) - 1/4) - 2/15)

= 1/4 - (2/5 + (1/3 - (6/2 - 7/2) - 1/4) - 2/15)

= 1/4 - (2/5 + (1/3 - (-1/2) - 1/4) - 2/15)

= 1/4 - (2/5 + (1/3 + 1/2 - 1/4) - 2/15)

= 1/4 - (2/5 + (4/12 + 6/12 - 3/12) - 2/15)

= 1/4 - (2/5 + (7/12) - 2/15)

= 1/4 - (2/5 + 7/12 - 2/15)

= 1/4 - (24/60 + 35/60 - 8/60)

= 1/4 - (51/60)

= 15/60 - 51/60

= -36/60

= -3/5

Taya2010 [7]3 years ago
4 0
❇First solve the terms in ( ) bracket:
↪1/4-{2/5+[1/3-(3×2-7)/2-1/4]-2/15}
= 1/4-{2/5+[1/3-(-1)/2-1/4]-2/15}
= 1/4-{2/5+[1/3+1/2-1/4]-2/15}

❇ Now solve the arithmetic terms in [ ] bracket...well by rule { } needs to be solved first but here { } has replaced the position of [ ] bracket.
= 1/4-{2/5+[1×4+1×6-1×3]/12-2/15}
= 1/4-{2/5+[4+6-3]/12-2/15}
= 1/4-{2/5+[10-3]/12-2/15}
❇Now solve arithmetic terms in { }
= 1/4-{2/5+7/12-2/15}
= 1/4-{2×12+7×5-2×4}/60
=1/4-{24+35-8}/60
=1/4-{59-8}/60
=1/4-51/60
=(1×15-51 )/60
don't get confused here that I placed ( )
=-36/60
=-3/5

❇NOTE:
▶Solve step by step by following rules:
1) First solve ( ) bracket (if any) then { } and then [ ] bracket

2) You must solve in this order
DMAS Division, Multiplication,Addition and then subtraction throughout the simplification process.
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Can anyone help with 19-22 with work shown I’m really confused
yanalaym [24]

Answer:

19.  C

20.  D

21.  B

22.  A

Step-by-step explanation:

If an angle is subtended from an arc and it goes to the opposite end of the circle, the angle is HALF of the measure of the arc. If it goes to the center, it is SAME measure as arc.

19.

Arc BC is DOUBLE of Angle BAC, so

78 * 2 = 156

Answer is C

20.

Arc BEC is DOUBLE of Angle BAC, so

114 * 2 = 228

Answer is D

21.

Angle ABC is HALF of Arc AC, so

Angle ABC = 110/2 = 55

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Angle ABC is HALF of Arc AC, so

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8 0
2 years ago
The tape diagram represents an equation.<br><br> Write an equation to represent the image.
goldfiish [28.3K]

Answer:

m + 1/4 = 2/3

Step-by-step explanation:

Since they are equal lengths set them = to each other.

6 0
2 years ago
Read 2 more answers
The surface area of the prism below is 264 square units . Find the missing dimensions of this prism. ( picture is in the picture
nignag [31]

Answer:

The missing dimension is 4 units.

Step-by-step explanation:

In the given prism,

Of all the surfaces,

There are three rectangular surfaces and two triangular surfaces

<h2>Analyzing areas of rectangular surfaces:</h2>

1)The two rectangles with dimensions of 15 units and 5 units:

The area of each rectangle = Length of rectangle \times Breadth of rectangle

From the diagram,

Length of rectangle = 15 units,

Breadth of rectangle = 5 units.

Area of each rectangle = 15\times 5 ;

Area of each rectangle = 75 square units.

Sum of areas of the two rectangles = 2\times 75

Sum of areas of the two rectangles = 150 square units (equation 1)

2) The rectangle with the dimensions 15 units and 6 units:

The area of thus rectangle=  Length of rectangle \times Breadth of rectangle

From the diagram,

Length of rectangle = 15 units,

Breadth of rectangle = 6 units.

Area of the rectangle = 15\times 6 ;

Area of the rectangle = 90 square units. (equation 2)

From equation 1 and equation 2,

Therefore sum of areas of all rectangles in the prism = 150 + 90

Sum of areas of rectangles = 240 square units.

We also know,

Total surface area of the prism = Sum of areas of triangles + Sum areas of rectangles

Given, Total surface area of prism = 264 square units.

Therefore from the formula,

Sum of areas of triangles = Total surface area - sum of areas of reactangles

Sum of areas of triangles = 264 - 240

Sum of areas of triangles = 24 square units. (equation 3)

Let the missing dimension be 'h units'

<h2>Calculating sum of areas of triangles:</h2>

From diagram,both triangles are congruent,hence have the same area

Area of a triangle = \frac{1}{2}\times base\times height

From diagram,

Base = 6 units,

Height = h units.

Area of a triangle =\frac{1}{2}\times 6\times h = 3h square units.

Sum of the areas of both triangles = 3h+3h = 6h square units.

Using equation 3, we get

6h = 24;

h = \frac{24}{6}

Therefore,

h = 4 units.

Therefore,

The missing dimension is 4 units.

4 0
3 years ago
320 times 9 <br> i’m not very good at time tables so if i could get an answer that would be nice
nekit [7.7K]

Answer:2880

Step-by-step explanation:

8 0
3 years ago
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X+6/2 + 5−4x/3 − 8−x/6 =0
natka813 [3]

Answer:

x = 0

Step-by-step explanation:

x+\frac{6}{2}+5-4\cdot \frac{x}{3}-8-\frac{x}{6}=0

x+3+5-4\cdot \frac{x}{3}-8-\frac{x}{6}=0

x+3+5-\frac{4x}{3}-8-\frac{x}{6}=0

x-\frac{4x}{3}-\frac{x}{6}+3+5-8=0

x-\frac{4x}{3}-\frac{x}{6}=0

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6x-8x-x=0

-3x=0

\frac{-3x}{-3}=\frac{0}{-3}

x=0

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