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kozerog [31]
2 years ago
9

How do u turn 67÷100 into a fraction need help plz

Mathematics
1 answer:
Deffense [45]2 years ago
3 0

Answer:

67/100

Step-by-step explanation:

67÷100 Divide the numbers

0.67 then move the decimal point to the right

6.7 *10 this will give you the fraction

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1. Find the cost of levelling the ground in the form of a triangle having the sides 51 m, 37 m and 20 m at the rate of ₹ 3 per m
Flauer [41]

1. Find the cost of levelling the ground in the form of a triangle having the sides 51 m, 37 m and 20 m at the rate of ₹ 3 per m².

a = 51 m, b = 37 m, c = 20 m

semiperimeter:  p = (51+37+20):2 = 54 m

Area of triangle:

A=\sqrt{p(p-a)(p-b)(p-c)}\\\\A=\sqrt{54(54-51)(54-37)(54-20)}\\\\A=\sqrt{54\cdot3\cdot17\cdot34}\\\\A=\sqrt{9\cdot2\cdot3\cdot3\cdot17\cdot17\cdot2}\\\\A=3\cdot2\cdot3\cdot17\\\\A=306\,m^2

Rate:  ₹ 3 per m².

Cost:  ₹ 3•306 = ₹ 918

2. Find the area of the isosceles triangle whose perimeter is 11 cm and the base is 5 cm.

a = 5 cm

a+2b = 11 cm  ⇒  2b = 6 cm   ⇒  b = 3 cm

p = 11:2 = 5.5

A=\sqrt{5.5(5.5-3)^2(5.5-5)}\\\\ A=\sqrt{5.5\cdot(2.5)^2\cdot0.5}\\\\ A=\sqrt{11\cdot0.5\cdot(2.5)^2\cdot0.5}\\\\A=0.5\cdot2.5\cdot\sqrt{11}\\\\A=1.25\sqrt{11}\,cm^2\approx4.146\,cm^2

3. Find the area of the equilateral triangle whose each side is 8 cm.

a = b = c = 8 cm

p = (8•3):2 = 12 cm

A=\sqrt{12(12-8)^3}\\\\ A=\sqrt{12\cdot4^3}\\\\ A=\sqrt{3\cdot4\cdot4\cdot4^2}\\\\A=4\cdot4\cdot\sqrt{3}\\\\A=16\sqrt3\ cm^2\approx27.713\ cm^2

4. The perimeter of an isosceles triangle is 32 cm. The ratio of the equal side to its base is 3 : 2. Find the area of the triangle.

a = 2x

b = 3x

2x + 2•3x = 32 cm  ⇒ 8x = 32 cm   ⇒  x = 4 cm  ⇒ a = 8 cm, b = 12 cm

p = 32:2 = 16 cm

A=\sqrt{16(16-8)(16-12)^2}\\\\ A=\sqrt{16\cdot8\cdot4^2}\\\\ A=\sqrt{2\cdot8\cdot8\cdot4^2}\\\\ A=8\cdot4\cdot\sqrt2\\\\ A=32\sqrt2\ cm^2\approx45.2548\ cm^2

8 0
2 years ago
The sum of 9 and a number is twice a number plus 14. Write an equation.
Olin [163]

Answer:

9+x = 2y+14

Step-by-step explanation:

It says 9 plus a number, so plug in x for 'a number', and it says 'is twice a number plus 14'. Plug in '=' for is another variable for 'a number', and last but not least, just put +14 for plus 14

6 0
2 years ago
H(x) = x^2+6 g(x) = 8x-5 <br><br> show that hg(x)=19 simplifies to 16x^2 - 20x + 3 = 0
Studentka2010 [4]

Answer:

h(x)=x²+6 and g(x)=8x-5

prove that hg(x)=19

Step-by-step explanation:

step 1: hog(x)=h[g(x)]

step 2: h(8x-5)

step 3: h(8x-5)= (8x-5)²+6

step 4: (8x-5)(8x-5)+6

step 5: 16x² +15x +6

6 0
3 years ago
Go step by step to reduce the radical.<br> V216
oksano4ka [1.4K]

Answer:

6\sqrt{6}

Step-by-step explanation:

\sqrt{216}

factorise 216

\sqrt{2*2*2*3*3*3}

since it is square root (meaning it has index to) pair up the number

2*3\sqrt{2*3

6\sqrt{6}

6 0
3 years ago
Reduce to simplest form. -3/5 + (-8/2) =
Dominik [7]

Answer:

<u>The answer is -4 3/5</u>

Step-by-step explanation:

Let's reduce to its simplest form:

-3/5 + (-8/2) =

Step 1: Lowest Common Denominator (10):

- 6/10 + (-40/10) =

Step 2: Solve the parentheses:

- 6/10 - 40/10 =

Step 3: Subtract the fractions:

-46/10

Step 4: Simplify (Dividing by 2):

-23/5

Step 5: Converting the fraction to mixed number:

-4 3/5

<u>The answer is -4 3/5</u>

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3 years ago
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