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guapka [62]
2 years ago
10

On a piece of paper, use a protractor and a ruler to construct △ABC with AB=4 in., AC=4 in., and m∠A=60°.

Mathematics
2 answers:
ollegr [7]2 years ago
6 0

Answer:

BC 4 in

Step-by-step explanation:

The steps for construction;

  • Using a ruler draw line AB 4 inches  and label the end points A and B
  • At point A , using a protractor, measure angle 60° and mark with point. Draw a line from A passing through this point extending to a length of 4 inches
  • Mark that point C.
  • Using the ruler, join point C and B and measure BC.

From calculation, length BC can be found by the formula;

BC=\sqrt{a^2+b^2-2*a*b*cosA}------where a=b=4 in , cos A = cos 60°

BC=\sqrt{4^2+4^2-2*4*4*cos60}

BC = 4 in

mylen [45]2 years ago
5 0

Answer:

bc = 4

Step-by-step explanation:

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32ax + 12bx - 48ay - 18by<br><br>factor the polynomial​
SashulF [63]

Answer:

(16a + 6b) (2x - 3y)      

Step-by-step explanation:

32ax + 12bx - 48ay - 18by

(32ax - 48ay) + (12bx - 18by)

16a(2x - 3y) + 6b(2x - 3y)         Factor out in both seperate expressions

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4 0
3 years ago
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Exponential function f is represented by the table. x -2 -1 0 1 2 f(x) -46 -22 -10 -4 -1 Function g is represented by the equati
Scrat [10]

The statement that describes better about function is "Both functions are increasing, but function g increases at a faster average rate." since option (c) is correct.

Given the table

x         f(x)

-2        -46

-1         -22

0         -10

1           -4

2          -1

We have to choose which statement describes better about function

Let us assume f(x)=ab^x+c

at x=0, f(0)=-10

So, -10 =a+c

Similarly, by satisfying the above table in the f(x)

f(x)=\frac{33}{5} (\frac{1}{11})^x-\frac{17}{5}

f'(x) > 0

So we can say that f(x) is an increasing function.

g(x) = - 18  (\frac{1}{3}  )^ x + 2

g^ \prime (x) = - 18 (\frac{1}{3}  )^ x  ln(1/3)

ln(1/3) < 0

So, g^ \prime (x) > 0

So, g(x) is an increasing function.

For any x∈f(x) and  x∈g(x) g'(x) > f'(x)

So, g increases at a faster average rate

Thus, Both functions are increasing, but function g increases at a faster average rate.

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1 year ago
What is 4x - 2 = 22 8x x =
EleoNora [17]
I think the answer is x = -4.
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ANTONII [103]
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3 years ago
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belka [17]

Let the slower runners speed be X kilometers per hour.

Then the faster runners speed would be X+2 kilometers per hour.


The formula for distance is Speed times time.

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