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Fittoniya [83]
3 years ago
6

‼️‼️Help anyone ‼️‼️‼️

Mathematics
1 answer:
Debora [2.8K]3 years ago
4 0
Method 1
You can use <span>The equilateral triangle </span>(look at the picture)
\dfrac{a\sqrt3}{2}=1\ \ \ \cdot2\\\\a\sqrt3=2\ \ \ |\cdot\sqrt3\\\\3a=2\sqrt3\ \ \ |:3\\\\a=\dfrac{2\sqrt3}{3}\\\\\boxed{|AC|=\dfrac{2\sqrt3}{3}}


Method 2
You can use the <span>trigonometric function</span>
\sin60^o=\dfrac{1}{|AC|}\\\\\sin60^o=\dfrac{\sqrt3}{2}\\\\\dfrac{1}{|AC|}=\dfrac{\sqrt3}{2}\ \ \ |\cross\ multiply\\\\|AC|\sqrt3=2\ \ \ |\cdot\sqrt3\\\\3|AC|=2\sqrt3\ \ \ \ |:3\\\\\boxed{|AC|=\dfrac{2\sqrt3}{3}}
<span />

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Three consecutive integers have a sum of 168. What is the value of the largest integer
Svet_ta [14]
Largest integer: 57

x + x + 1 + x + 2 = 168 
3x + 3 = 168
-3             -3
3x       = 165
/3             /3 
x         = 55 

x = smallest integer = 55
x + 1 = middle integer = 55 + 1 = 56
x + 2 = largest integer = 55 + 2 = 57 
6 0
3 years ago
What is the equation of the line that passes through the points (9, 2) and (7, -4)?
aliya0001 [1]

Answer:m=3

Step-by-step explanation:

8 0
3 years ago
In the equation x/35 = 7, what is the value of x?<br> a. 7<br> b. 245<br> c. 35<br> d. 5
Marianna [84]
<span>So we wan't to get the value of x in the equation x/35=7. To get x we need to multiply both sides of the equation with 35 and then we get: x=7*35. So after multiplying we get x= 245. To check the solution lets divide 245/7=35. So the correct answer is b. 245.</span>
6 0
3 years ago
Read 2 more answers
Please need help asap!!
vagabundo [1.1K]

a+b+c=180,  \text{ }c+e=180 \implies \\ a+b+c=c+e \implies \\ a+b=e\\

This result is actually true for any exterior angle. The exterior angle of a triangle is equal to the sum of the two remote angles, and above is a short proof of it.

6 0
4 years ago
Suppose that the number of a certain type of computer that can be sold when its price is P (in dollars) is given by a linear fun
Scilla [17]

Answer:

a) N(P) = -6P + 16000

b) slope = -6 computers per dollar

That means the number of computer sold reduce by 6 per dollar increase in price.

c) ∆N = -660 computers

Step-by-step explanation:

Since N(P) is a linear function

N(P) = mP + C

Where m is the slope and C is the intercept.

Case 1

N(1000) = 10000

10000 = 1000m + C ....1

Case 2

N(1700) = 5800

5800 = 1700m + C ....2

Subtracting equation 1 from 2

700m = 5800 - 10000

m = -4200/700

m = -6

Substituting m = -6 into eqn 1

10000 = (-6)1000 + C

C = 10000+ 6000 = 16000

N(P) = -6P + 16000

b) slope = -6 computers per dollar

That means the number of computer sold reduce by 6 per dollar increase in price.

Slope is the change in number of computer sold per unit Change in price.

c) since slope m = -6 computers per dollar

∆P = 110 dollars

∆N = m × ∆P

Substituting the values,

∆N = -6 computers/dollar × 110 dollars

∆N = -660 computers.

The number of computer sold reduce by 660 when the price increase by 110 dollars

7 0
4 years ago
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