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marusya05 [52]
3 years ago
9

-12b+6c+18 Factor the simplified expression using the GCF.

Mathematics
1 answer:
lorasvet [3.4K]3 years ago
5 0

Answer:

Not sure about the GCF but

6(-2b+c+3)

Step-by-step explanation:

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If two sides of a triangle measure 12 and 7, which cannot be the perimeter of the triangle?
ser-zykov [4K]
Hi,
Let assume x the 3th side.
x<12+7==> x<19
12<x+7==>x>5
So 5<x<19==> 5+7+12<x+7+12<19+7+12
==>24<x<38
Answer d.

8 0
3 years ago
PLEASE WILL GIVE 50 POINTS PLEASE ANSWER ​
leva [86]

Answer:

AB = 75

BC = 60

AC = 45

m∠A = 53°

m∠B = 37°

m∠C = 90°

Step-by-step explanation:

<u>Trigonometric ratios</u>

\sf \sin(\theta)=\dfrac{O}{H}\quad\cos(\theta)=\dfrac{A}{H}\quad\tan(\theta)=\dfrac{O}{A}

where:

  • \theta is the angle
  • O is the side opposite the angle
  • A is the side adjacent the angle
  • H is the hypotenuse (the side opposite the right angle)

Given:

\sf \tan(A)=\dfrac{60}{45}

Therefore:

  • side opposite angle A = BC = 60
  • side adjacent angle A = AC = 45

To find the length of AB (the hypotenuse), use Pythagoras’ Theorem:

a^2+b^2=c^2

(where a and b are the legs, and c is the hypotenuse, of a right triangle)

⇒ AC² + BC² = AB²

⇒ 45² + 60² = AB²

⇒ AB² = 5625

⇒ AB = √5625

⇒ AB = 75

To find m∠A:

\implies\sf \tan(A)=\dfrac{60}{45}

\implies\sf A=\tan^{-1}\left(\dfrac{60}{45}\right)

\implies\sf A=53^{\circ}\:(nearest\:degree)

m∠C = 90° (as it is a right angle)

The interior angles of a triangle sum to 180°

⇒ m∠A + m∠B + m∠C = 180°

⇒ 53° + m∠B + 90° = 180°

⇒ m∠B = 180° - 53° - 90°

⇒ m∠B = 37°

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2 years ago
Log4 x + log4 (x – 3) = 1 Solve the equation.
Natasha_Volkova [10]

Answer:

x is EQUIVALENT to 2.89

Step-by-step explanation:

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3 years ago
McDonald's has about 21000 managers and each year makes on average $39000/year, how much does McDonald's spend on managers each
Katen [24]
819,000,000 each year
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Dunno Dont Care !!!!!!!!
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