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notsponge [240]
2 years ago
14

Please helpppppppppppppppppppppp

Mathematics
1 answer:
qaws [65]2 years ago
7 0

Answer:

The answer is 20

Explanation

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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
3 years ago
Read 2 more answers
SOMEONE PLEASE HELP ME ASAP PLEASEEE!!!​
JulsSmile [24]

Answer:

m-9

Step-by-step explanation:

12-9= 3

14-9= 5

18-9= 9

27-9= 18

4 0
3 years ago
Read 2 more answers
I NEED HELP!!!
andrey2020 [161]

Answer:

<h2>B. The amount of fuel used was lowest at speeds around 60km/h.</h2>

Step-by-step explanation:

The decreasing part is from (20,13) to (60,6), which gives an average rate of

r=\frac{6-13}{60-20}=-\frac{7}{40}=-0.175

Then, we have an increasing part from (60,6) to (120,10), which gives an average rate of

r=\frac{10-6}{120-60}=\frac{4}{60}=0.067

Basically, at 60 km/h the fuel used was 6 liters per 100 kilometers. Notice that the other velocities make the car to use more liters per kilometers.

Therefore, the amount of fuel used was lowest at speeds around 60 km/h.

6 0
3 years ago
What is the quotient when 2x3 + x + 3 is divided by x + 1?
kvv77 [185]
(2x^3+x+3)/(x+1)=2x^2-2x+3

7 0
3 years ago
A randomly generated list of numbers from 0 to 4 is being used to simulate an event, with the numbers 3 and 4 representing a suc
anzhelika [568]
The answers seems like 1/2?
5 0
3 years ago
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