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Svetradugi [14.3K]
3 years ago
14

A poster is in the shape of a parallelogram. The base of the poster is 12 inches long, and the height of the poster is 18 inches

. What is the area of the poster?
Mathematics
1 answer:
zloy xaker [14]3 years ago
8 0
The area of the poster is 216 inches.

The formula for the area of a parallelogram is a=bh (area=base•height).
so a = 12 • 18
a = 216 inches
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NISA [10]

Answer:

a = - 5, a = - 3

Step-by-step explanation:

Given

a² + 8a + 15 = 0 ← in standard form

(a + 3)(a + 5) = 0 ← in factored form

Equate each factor to zero and solve for a

a + 3 = 0 ⇒ a = - 3

a + 5 = 0 ⇒ a = - 5

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°

4 0
2 years ago
3(m - 1) = 5m +3 -2m please help me solve this step by step asap!
cupoosta [38]

Answer:

0 = 6

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

3(m−1)=5m+3−2m

(3)(m)+(3)(−1)=5m+3+−2m (Distribute)

3m+−3=5m+3+−2m

3m−3=(5m+−2m)+(3) (Combine Like Terms)

3m−3=3m+3

3m−3=3m+3

Step 2: Subtract 3m from both sides.

3m−3−3m=3m+3−3m

−3=3

Step 3: Add 3 to both sides.

−3+3=3+3

0=6

3 0
3 years ago
Find the value of x in the parallelogram
lord [1]

Answer:

72 = x

Step-by-step explanation

154 is one of the degrees for that angle. And I seen 82 for the other one.

All you have to do is subtract 154 and 82 and you get 72.

8 0
2 years ago
Name a pair of fractions that use the least common denominator and are equivalent to 9/10 and 5/6
VikaD [51]

Answer:

The Lowest Common Denominator is 30 9/10 = 27/30 5/6 = 25/30



6 0
3 years ago
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