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Dmitrij [34]
4 years ago
11

What is the area of this figure? 49.5 in² 66.5 in² 84 in² 91 in²

Mathematics
2 answers:
ivann1987 [24]4 years ago
5 0
Area of figure
= (7 x 7) + [1/2(12)(7)]
= 49 + 42
= 91

answer 
<span>91 in²</span>
zubka84 [21]4 years ago
3 0

The given figure can be divided in two parts 1) Square with side 7 in 2) A right triangle with base 12 in and height 7 in.

1) Area of square = side^{2}

Side of the square is 7 in.

Area = 7^{2} =49in^{2}

2) Area of triangle = \frac{1}{2} .base . height

Area of triangle =\frac{1}{2} (12)(7) =42in^{2}

Area of polygon= Area of square+ Area of triangle

Area of polygon = 49+42 =91 square in.

Area = 91in^{2}

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Find the corresponding effective interest rate for 3% per year compounded continuously?
jeyben [28]

Answer:

3.045%.

Step-by-step explanation:

We are asked to find the corresponding effective interest rate for 3% per year compounded continuously.

We will use effective interest formula to solve our given problem.

r=e^i-1, where,

r = Effective interest rate,

e = Mathematical constant,

r = Interest rate in decimal form.

Let us convert given interest rate in decimal form.

3\%=\frac{3}{100}=0.03

Substitute values:

r=e^{0.03}-1

r=1.030454533953517-1

r=0.030454533953517

r\approx 0.03045

Convert into percentage:

0.03045\times 100\%=3.045\%

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3 0
3 years ago
Simplify 425xy⁴/25xy²
beks73 [17]

We have the expression

\frac{425xy^4}{25xy^2}

We can already simplify x because it's both on the numerator and denominator

\frac{425y^4}{25y^2}

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\frac{17y^4}{y^2}

Remember that

\frac{a^n}{a^m}=a^{n-m}

Then

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The final result is

17y^2

3 0
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One Algebra question. Thank you :D
vesna_86 [32]
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so
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answer
C. 9m^4 - 49n^6 


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