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yan [13]
3 years ago
7

Need help quick and fast!

Mathematics
1 answer:
scZoUnD [109]3 years ago
7 0

Answer:

Commutative= 3x2=2x3

Associative Multiplication= 2x(6x8)=(2x6)x8

Distributive= 5(7+2)=5x7+5x2

Associative Addition=(2+5)+4=2+(5+4)

Step-by-step explanation:

 

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Answer:

Coefficient of Performance

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“What happens to our balloon when we subtract a positive number (puffs of air)?”
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the height decreases

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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

p=28.726

Area:

we can use formula

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

now, we can plug values

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

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

6 0
4 years ago
Read 2 more answers
What is 2/5-3/10 equal to
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Answer:

1/10

Step-by-step explanation:

2/5=4/10

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3 years ago
Find m<1 in the rhombus below
Margarita [4]

Answer:

m \angle \: 1 = 120 \degree

Step-by-step explanation:

Given figure is of a rhombus.

Measures of the opposite angles of a rhombus are equal.

Therefore,

m \angle \: 1 = 120 \degree

6 0
3 years ago
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