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iren [92.7K]
3 years ago
13

A Sweater Usually​ Costs $50.00. It Is On Sale With A Discount Of 10%. What Is The Sale Price Of The Sweater?

Mathematics
2 answers:
Harrizon [31]3 years ago
5 0

The sale price should be $45

Virty [35]3 years ago
5 0
Sale price would be 45 dollars if you made a proportion and subtracted
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3 1/2x + 215 = 495 Why is 3 1/2 multiplied by x in the equation
nlexa [21]
3 1/2 x is multiplied by x In the equation because it is the coefficient, the number being multiplied by the variable
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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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If X = 6 cm and Y = 8 cm, what is the length of Z?
AleksAgata [21]
Use the trick x+ y+ z =0 and 6+8+z=0,...so z= -14
3 0
3 years ago
Find the value of a and b. a) 144, 67 b) 144, 36 c) 113, 67 or d) 113, 36
TEA [102]
Work shown above! Answer is
a = 144
b = 67

7 0
3 years ago
The computer won’t accept my answers and my teacher doesn’t accept late work
LiRa [457]
Email the teacher and see if she can check it at a later time
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