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Irina18 [472]
3 years ago
7

How you would find the total area of the following composite shapes.

Mathematics
2 answers:
sergiy2304 [10]3 years ago
7 0

Answer:

By breaking it up in shapes

Step-by-step explanation:

I annotated your photo and it's attached below :) that's an example on how to break shapes into easier parts. So yeah

Download pdf
Elden [556K]3 years ago
6 0

Answer:

First one is 7.1415926,

Second one is 84 inch^{2}

Step-by-step explanation:

First for the square plus the two half circles: The two half circles are semi-circles, so two semi-circles put together equals a full circle.

Equation for the circle:

\pi (2/2)^{2} \\=\pi (1)^{2}

=\pi

≅3.1415926 inch^{2} (This is too long for me to write down, actually no body can write it down , since it's an infinity unrepeating decimal)

Then the square's area is:

2^{2} \\=4

Lastly 4+3.1415926

=7.1415926

Second one I am going to draw in the file first, then I'll write how I solved it here!

OK, so:

(5)(10)+(7)(4)+(15-(5+7))(4)/2)\\=50+28+(12/2)\\=78+6\\=84 inch^{2}

HOPED I helped!

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What is the answer to this problem? 0.35 + 0.27 = ?
gavmur [86]
Have you never added 2-digit numbers?
35 +27 = (30 +20) +(5 +7) = 50 +12 = 62

35/100 +27/100 = (35 +27)/100 = 62/100
0.35 +0.27 = 0.62

The basic idea, taught in 3rd grade, is to line up the decimal points of the numbers, add enough zeros on the right to make the numbers all have the same number of digits to the right of the decimal point, then add in the usual way. The sum has the decimal point aligned with the rest of the numbers.

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3 years ago
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Triangle BDC is isosceles
Ganezh [65]

ZCAB angle is congruent to ZBAD

6 0
2 years ago
Find the areas of the trapezoids. PLZ HELP!!!!
barxatty [35]

Answer:

<em>Type 7.5 in the box!</em>

Step-by-step explanation:

Consider the trapezoid formula ( ( base 1 + base 2 ) / 2 ) * height;

Length of Base 1 - 1 unit,\\\\Length of Base 2 - 4 units,\\\\Length of Height - 3 units ( length of x - intercept in shaded region )\\\\Area of Trapezoid = ( Average of Bases ) * Height = ( ( 1 + 4 ) / 2 ) * 3 = ( 5 / 2 ) * 3 = 7.5 square units,\\\\Solution; 7.5 square units

<em>Area = 7.5 square units</em>

4 0
2 years ago
Suppose that you buy a two-year 8% bond at its face value.
Juliette [100K]

Answer:

Real Rate of Return = 4.9%  and Nominal rate = 0.08 or 8%

Real Rate of Return = 2.9%  and Nominal rate = 0.081 or 8.1%

real rate = 5 %   and Nominal rate = 0.0815 or 8.15%

real rate = 3%  and Nominal rate = 0.0815 or 8.15%

Step-by-step explanation:

given data

time period = 2 year

Coupon rate = 8% =  0.08

Inflation rate 1st year = 3% =  0.03

Inflation rate 2nd year = 5% =  0.05

solution

we get here Real Rate of Return  that is express as

Real Rate of Return = (Coupon Rate - Inflation rate) ÷ (1+Inflation rate)   .........1

so that here 1st year Real return  will be

Real Rate of Return = (0.08 - 0.03) ÷ (1+0.03)

solve it we get

Real Rate of Return = 4.9%

and

(1 + nominal rate) = (1 + real rate) × (1 + inflation rate)     ............2

(1 + nominal rate) = (1 + 0.049) × (1 + 0.03)

Nominal rate = 0.08 or 8%

and

for 2nd year Real return  will be

Real Rate of Return = (0.08 - 0.05) ÷ (1+0.05)

solve it

Real Rate of Return = 2.9%

and

(1 + nominal rate) = (1 + real rate) × (1 + inflation rate)     ............3

(1 + nominal rate) = (1 + 0.029) × (1 + 0.05)

Nominal rate = 0.081 or 8.1%

and

now for the bond Treasury Inflation-Protected Securities, we get real and nominal return that is

for 1st year

Real rate = Coupon rate - Inflation     ...............4

Real rate = 0.08 - 0.03

real rate = 0.05

and

(1 + nominal rate) = (1 + real rate) × (1 + inflation rate)     ................5

(1 + nominal rate) = (1 + 0.05) × (1 + 0.03)

so

Nominal rate = 0.0815 or 8.15%

and for 2nd years  it will be

Real rate = Coupon rate - Inflation      ....................6

Real rate = 0.08 - 0.05

real rate = 0.03

and

(1 + nominal rate) = (1 + real rate) × (1 + inflation rate)     ...................7

(1 + nominal rate) = (1 + 0.03) × (1 + 0.05)

so

Nominal rate = 0.0815 or 8.15%

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When 0.575 is divided by 0.8, the quotient is
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Answer:The quotient is 0.71875

Step-by-step explanation:

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