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Vlada [557]
3 years ago
8

Evaluate the expression shown below and write your answer as a fraction in simplest form 1/9+1/12

Mathematics
1 answer:
netineya [11]3 years ago
8 0
The answer would be 7/36.
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Can anybody help me figure out the area of simple composite figure?
zvonat [6]

Given:

The length of the rectangle = 16 ft

The width of the rectangle = 12 ft

The diameter of the semicircle = 12 ft

To find the area of the given figure.

Formula

  • A=A_{1} +A_{2}

where,

A be the area of the given figure

A_{1} be the area of the rectangle

A_{2} be the area of the semicircle.

  • The area of the rectangle = lb where, l be the length and b be the width
  • Area of the semicircle = \frac{1}{2} \pi r^{2}, r be the radius of the semicircle.

Now,

The radius of the semicircle r = 6 ft

Putting, r=6, l=16 and b= 12 we get,

A_{1} = (16)(12) sq ft

or, A_{1} = 192 sq ft

A_{2} = \frac{1}{2} (3.14)(6^{2} ) sq ft

or, A_{2}=56.52 sq ft

So,

A = 56.52+192 sq ft

A = 248.52 sq ft

Rounding off to the nearest tenth, we get;

A=248.5 sq ft.

Hence,

The area of the composite figure is 248.5 sq ft.

7 0
3 years ago
Determine the value of x for the following equation.<br><br> 3(-9 - 4x) -4 = 8x -9(x + 12)
Makovka662 [10]

Answer:

-77/13

Distribute 3 to the ones in the parenthisis  and do the same to the other side and distribute the negative nine. solve what is left and subtract the two terms and simply solve whats next.

4 0
3 years ago
Read 2 more answers
Does anyone know this need help!
lesya692 [45]

Answer:

Lead

Step-by-step explanation:

According to the chart, we can see that lead has the highest number here, so lead has the highest freezing / melting point in this chart.

If we were looking for the element with the lowest freezing / melting point, then we would look for the lowest number, which would belong to Helium, at -272.

4 0
3 years ago
I will give you branliest!
BaLLatris [955]

The correct answer is B. 1845, this is because when you look at the years '88 and '89, the interest rate increases 1%, while the building permits decrease by 190. So, to find the midpoint, you divide 190 by 2 and then subtract that from the 1940 building permits to find the final answer; 1845

7 0
3 years ago
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Consider the function f(x) = 3x and the function g, which is shown below. G(x)=F(x)-2=3^x-2 How will the graph of g differ from
tiny-mole [99]

Answer:

  C.  The graph of g is the graph of f shifted 2 units down

Step-by-step explanation:

The transformation ...

  g(x) = f(x -h) +k

represents a translation h units right and k units up.

You have h=0 and k=-2, so the graph is shifted 0 units right and 2 units the opposite of up.

The graph of g is the graph of f shifted 2 units down.

6 0
3 years ago
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