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olchik [2.2K]
3 years ago
6

Simplify the expression 1+2*[(3+1)*5+3]

Mathematics
2 answers:
Lady bird [3.3K]3 years ago
7 0

1 + 2 *[(3+1)*5+3]

=  1 + 2*[(4)*5+3]

=  1 + 2*[20+3]

=  1 + 2 * 23

= 1 + 46

= 47

Answer

c. 47

kondaur [170]3 years ago
6 0
C.47 is the answer to the expression
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Given: △ABC, m∠A=60° m∠C=45°, AB=8 Find: Perimeter of △ABC, Area of △ABC
jarptica [38.1K]

We are given

△ABC, m∠A=60° m∠C=45°, AB=8

Firstly, we will find all angles and sides

Calculation of angle B:

we know that sum of all angles is 180

m∠A+ m∠B+m∠C=180

we can plug values

60°+ m∠B+45°=180

m∠B=75°

Calculation of BC:

we can use law of sines

\frac{AB}{sin(C)}=\frac{BC}{sin(A)}

now, we can plug values

\frac{8}{sin(45)}=\frac{BC}{sin(60)}

BC=\frac{8}{sin(45)} \times sin(60)

BC=9.798

Calculation of AC:

\frac{AB}{sin(C)}=\frac{AC}{sin(B)}

now, we can plug values

\frac{8}{sin(45)}=\frac{AC}{sin(75)}

AC=\frac{8}{sin(45)} \times sin(75)

AC=10.928

Perimeter:

p=AB+BC+AC

we can plug values

p=10.928+8+9.798

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Area:

we can use formula

A=\frac{1}{2}AB \times AC \times sin(A)

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A=\frac{1}{2}8 \times 10.928 \times sin(60)

A=37.85570...............Answer

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Answer:

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