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Alborosie
3 years ago
15

How do you solve a=a+b+c/3

Mathematics
1 answer:
Mrac [35]3 years ago
3 0
I hope this helps you

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In aΔABC, if ∠B = 60° and the ratio of two sides is a : c = 2 : √3 + 1, then ∠A= ____.
UkoKoshka [18]

Answer:

∠A= 45°....

Step-by-step explanation:

To find  ∠A first we have to find the length of side B by cosine law:

b^2 = a^2 + c^2 – 2 a c cos B

b^2=(2)^2 +(√3 + 1)^2 - 2(2)(√3 + 1) cos 60

b^2 = 6

Taking square root at both sides:

√b^2 = √6

b= 2.45

Now we can calculate ∠A by sine law:

b / sin B = a / sin A

2.45 / sin 60 = 2 / sin A

sin A= 2* √3/2 /2.45

sin A = 2√3/2 * 1/2.45

sinA = 2√3/ 4.9

sin A = 0.7069

sin A = 0.707

A=45°

Thus ∠A= 45°....

4 0
3 years ago
Y=-3x-18 helpppppppppp
fiasKO [112]

Answer:

Your MOM

Step-by-step explanation:

Sorry Need POINT

8 0
3 years ago
Read 2 more answers
A recipe that serves 8 people requires 1 and one fourth cups of sugar. Using this​ recipe, how many cups of sugar are needed to
docker41 [41]

Answer:

3 1/8 or 3.125.

Step-by-step explanation:

First you would change 1 1/4 to 5/4. Then you would make a proportion of 5/4 or I like to use decimals, 1.25, over 8. Your proportion would look like: 1.25/8 = x/20. Then cross multiply 1.25 and 20 then divide your product by 8. Your final answer is 3.125 or 3 1/8. Hope this helps!

4 0
3 years ago
A circle is defined by the equation x2 + y2 + 8x + 22y + 37 = 0. What are the coordinates for the center of the circle and the l
inn [45]
We can say that:
8x = -2ax
8 = -2a
a = -4

22y = - 2by
22 = -2b
b = -11

37 = a² + b² - r²
37 = (-4)² + (-11)² - r²
r² = 16 + 121 - 37
r² = 100
r = 10

With all this information, we can say that:
The center of the circle is: (-4 ; -11)
and the radius of the circle is r = 10

P.S:
(a - x)² + (b-y)² = r²
a² - 2ax + x² + b² -2by + y² - r² = 0
x² + y² -2ax - 2by + a² + b² - r² = 0

6 0
3 years ago
The points at which the curve changes from curving upward to curving downward are called what
marshall27 [118]

Answer:

Inflection points. It's where the second derivative of the function is equal to zero

Step-by-step explanation:

7 0
3 years ago
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