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swat32
3 years ago
7

Which expression is equal to 4/8

Mathematics
1 answer:
givi [52]3 years ago
7 0
<h2>Fractions</h2>

Which expression is equal to \large\tt \frac{4}{8}?

Option 1

  • \large \tt 4  \times \frac{1}{2}  =  \frac{4}{1}  \times  \frac{1}{2}  =   \red{\frac{4}{2}}

Option 1 is not equal to \large\tt \frac{4}{8}

\huge{\overline{\qquad\qquad\qquad\qquad \: \: \: }}

Option 2

  • \large \tt 3 \times  \frac{1}{5}  =  \frac{3}{1}  \times  \frac{1}{5}  =   \red{\frac{3}{5}}

Option 2 is not equal to \large\tt \frac{4}{8}

\huge{\overline{\qquad\qquad\qquad\qquad \: \: \: }}

Option 3

  • \large \tt 3  \times \frac{1}{8}  =  \frac{3}{1} \times  \frac{1}{8}   =   \red{\frac{3}{8}}

Option 3 is not equal to \large\tt \frac{4}{8}

\huge{\overline{\qquad\qquad\qquad\qquad \: \: \: }}

Option 4

  • \large \tt 4  \times \frac{1}{8}  =   \frac{4}{1}  \times  \frac{1}{8}  =   \green{\frac{4}{8}}

Therefore, option 4 is equal to \large\tt \frac{4}{8}

\huge{\overline{\qquad\qquad\qquad\qquad \: \: \: }}

<h3>#CarryOnLearning</h3>
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Determine the value of c so that f(x) is continuous on the entire real line when
mixer [17]

Answer:

A. -4

Step-by-step explanation:

Given the function f(x) = x + 3 for x ≤ -1 and 2x - c for x > -1, for the function to be continuous, the right hand limit of the function must be equal to its left hand limit.

For the left hand limit;

The function at the left hand occurs at x<-1

f-(x) = x+3

f-(-1) = -1+3

f-(-1) = 2

For the right hand limit, the function occurs at x>-1

f+(x) = 2x-c

f+(-1) = 2(-1)-c

f+(-1) = -2-c

For the function f(x) to be continuous on the entire real line at x = -1, then

f-(-1) = f+(-1)

On equating both sides:

2 = -2-c

Add 2 to both sides

2+2 = -2-c+2

4 =-c

Multiply both sides by minus.

-(-c) = -4

c = -4

Hence the value of c so that f(x) is continuous on the entire real line is -4

6 0
3 years ago
Field book of an land is given in the figure. It is divided into 4 plots . Plot I is a right triangle , plot II is an equilatera
Kazeer [188]

Answer:

Total area = 237.09 cm²

Step-by-step explanation:

Given question is incomplete; here is the complete question.

Field book of an agricultural land is given in the figure. It is divided into 4 plots. Plot I is a right triangle, plot II is an equilateral triangle, plot III is a rectangle and plot IV is a trapezium, Find the area of each plot and the total area of the field. ( use √3 =1.73)

From the figure attached,

Area of the right triangle I = \frac{1}{2}(\text{Base})\times (\text{Height})

Area of ΔADC = \frac{1}{2}(\text{CD})(\text{AD})

                        = \frac{1}{2}(\sqrt{(AC)^2-(AD)^2})(\text{AD})

                        = \frac{1}{2}(\sqrt{(13)^2-(19-7)^2} )(19-7)

                        = \frac{1}{2}(\sqrt{169-144})(12)

                        = \frac{1}{2}(5)(12)

                        = 30 cm²

Area of equilateral triangle II = \frac{\sqrt{3} }{4}(\text{Side})^2

Area of equilateral triangle II = \frac{\sqrt{3}}{4}(13)^2

                                                = \frac{(1.73)(169)}{4}

                                                = 73.0925

                                                ≈ 73.09 cm²

Area of rectangle III = Length × width

                                 = CF × CD

                                 = 7 × 5

                                 = 35 cm²

Area of trapezium EFGH = \frac{1}{2}(\text{EF}+\text{GH})(\text{FJ})

Since, GH = GJ + JK + KH

17 = \sqrt{9^{2}-x^{2}}+5+\sqrt{(15)^2-x^{2}}

12 = \sqrt{81-x^2}+\sqrt{225-x^2}

144 = (81 - x²) + (225 - x²) + 2\sqrt{(81-x^2)(225-x^2)}

144 - 306 = -2x² + 2\sqrt{(81-x^2)(225-x^2)}

-81 = -x² + \sqrt{(81-x^2)(225-x^2)}

(x² - 81)² = (81 - x²)(225 - x²)

x⁴ + 6561 - 162x² = 18225 - 306x² + x⁴

144x² - 11664 = 0

x² = 81

x = 9 cm

Now area of plot IV = \frac{1}{2}(5+17)(9)

                                = 99 cm²

Total Area of the land = 30 + 73.09 + 35 + 99

                                    = 237.09 cm²

7 0
3 years ago
there are 27 red or blue marbles in the bag the number of red marbles is five less than three times the number of the blue marbl
alexdok [17]
So assuming that the total =27
r+b=27
r=-5+3b
r=3b-5
subsitute 3b-5 for r in first equation
3b-5+b=27
4b-5=27
add 5
4b=32
divide by 4
b=8
subsitute
b+r=27
8+r=27
subtracct 8
r=19

red=19
blue=8
4 0
3 years ago
Write the equation of the line that has the indicated slope and contains the indicated point. Express the final equation in stan
OlgaM077 [116]

Answer:

y = 1/2x + 5

Step-by-step explanation:

Given :

Slope, m = 1/2

(x1, y1) = (6, 8)

y - y1 = m(x - x1)

y - 8 = 1/2(x - 6)

y - 8 = 1/2x - 3

y - 8 + 8 = 1/2x - 3 + 8

y = 1/2x + 5

Stamdard form of equation :

y = mx + c

Hence, equation is :

y = 1/2x + 5

7 0
3 years ago
When Miguel does 16 push-ups and 12 sit-ups, it takes a total of 72
Mars2501 [29]

Answer:

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Step-by-step explanation:

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5 0
2 years ago
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