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3 years ago

Answer the question no.10

Mathematics

1 answer:

mr Goodwill [35]3 years ago

6 0

If AB=AC then It is an isocoles triangle. Because of this, Angle ABC=ACB, meaning they are both 60°. This means that Angle BAC is also 60°. Becasue of circle theorms, the angle BOC=2BAC so angle BOC=120°

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Mr. Gallagher's science class goes bird watching. The picture graph below shows the number of birds the class observes. A) How m

Liono4ka [1.6K]

A)
Monday and Tuesday: 8*6=48
Thursday and Friday: 10*6=60
60-48=12
The answer is 12 more

B)
48+60=108

Mr mannings class observed 4 more birds than mr Gallagher

4 0

3 years ago

Is 3(x + 1)2 = (3x + 3)2 an identity? Explain and show your reasoning.

Scilla [17]

Answer:

YES

Step-by-step explanation:

The equation, $3(x + 1)2 = (3x + 3)2$ , would be an identity if the equation remains true regardless of the value of x we choose to plug in into the equation.

Let's find out if we would always get a true statement using different value of x.

✍️Substituting x = 1 into the equation:

$3(x + 1)2 = (3x + 3)2$

$3(1 + 1)2 = (3(1) + 3)2$

$3(2)2 = (3 + 3)2$

$12 = 12$ (TRUE)

✍️Substituting x = 2 into the equation:

$3(x + 1)2 = (3x + 3)2$

$3(2 + 1)2 = (3(2) + 3)2$

$3(3)2 = (6 + 3)2$

$18 = 18$ (TRUE)

✍️Substituting x = 3 into the equation:

$3(x + 1)2 = (3x + 3)2$

$3(3 + 1)2 = (3(3) + 3)2$

$3(4)2 = (9 + 3)2$

$24 = 24$ (TRUE)

Therefore, we can conclude that the equation, $3(x + 1)2 = (3x + 3)2$ , is an identity.

8 0

3 years ago

otez555 [7]

Answer:

20°

Step-by-step explanation:

$arc \: length = \frac{ \theta}{360 \degree} \times circumference \\ \\ \frac{1}{3} = \frac{ \theta}{360 \degree} \times 6 \\ \\ \theta = \frac{360 \degree}{18} \\ \\ \theta =20 \degree$

8 0

3 years ago

Help this is due tmw

Zigmanuir [339]

Formula for circumference: 2πr
r=2x+1
C=2π(2x+1)
distribute
C=4πx+2π

3 0

3 years ago

The manufacturer of a weight-training bench spends $15 to build each bench and sells them for $32. The manufacturer also has fix

nasty-shy [4]

Answer:

Step-by-step explanation:

C(x) = 15x + 25,500....cost function

R(x) = 32x .....revenue function

break even point (when they are equal)....so set them equal and solve for x

15x + 25,500 = 32x

25,500 = 32x - 15x

25,500 = 17x

25,500 / 17 = x

1500 = x.......so the break even point is when 1500 benches are sold

15x + 25,500 = 32x =

15(1500) + 25,500 32(1500) =

22,500 + 25,500 48,000

48,000

and after selling 1500 benches, they will both equal $48,000

7 0

3 years ago