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Nataly [62]
2 years ago
8

Choose the answer that represents the product below as a exponential expression. (-6) (-6) (-6) (-6).(-6)​

Mathematics
1 answer:
Leni [432]2 years ago
7 0

(-6)⁵ = -7776

HOPE IT HELPS

PLEASE GIVE BRAINLIEST

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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°

4 0
2 years ago
10x - 3(4x + 1)
seraphim [82]

Answer:

See below for answers and explanations

Step-by-step explanation:

<u>Part A</u>

10x - 12x - 3 does not equal -5x. Looks like what she did wrong was treating -3 as -3x and got her incorrect result that way

<u>Part B</u>

10x - 12x - 3 = (10-12)x - 3 = -2x - 3

3 0
2 years ago
Read 2 more answers
Eric gets a 7 percent commission for each electronic item he sells .If he sells 3000 worth of elections ,how much commission doe
Bas_tet [7]

Answer:

$210

Step-by-step explanation:

He makes 7% of that which is:

0.07*3000 = 210

So, he makes $210 in commission.

8 0
3 years ago
Read 2 more answers
Do I multiply, please help
NikAS [45]

Answer:

yes

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
The width of a rectangle is 75% the length of the rectangle. the perimeter of the rectangle is 42 inches. a circle is drawn that
matrenka [14]

Answer:

  x = 56.25

Step-by-step explanation:

The sides of the rectangle are in the ratio 3:4, so those together with the diagonal of the rectangle make a 3-4-5 right triangle. The sum of these adjacent-side ratio units is 3+4 = 7, so the perimeter in ratio units is 2×7 = 14. The actual perimeter is 42 inches, so each ratio unit must stand for ...

  (42 in)/(14 units) = 3 in/unit

The diagonal of the rectangle is the diameter of the circle. Its length is 5 units, or ...

  (5 units)×(3 in/unit) = 15 inches.

Then the radius is half the diameter, or 7.5 inches.

The area of a circle is given by ...

  A = πr² = π(7.5 in)² = 56.25π in²

The value of x is 56.25.

4 0
3 years ago
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