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sp2606 [1]
2 years ago
14

CALCULATE THE DUSCOUNT AMOUNTcalculate the discount amount answer

Mathematics
1 answer:
nata0808 [166]2 years ago
5 0

Answer:

The discount amount is 20 rupees.

Step-by-step explanation:

Since there is an initial amount of 200 rupees, to which a discount of 10% is made, to determine the amount of said discount the following calculation must be made:

200 x 10/100 = X

2000/100 = X

20 = X

Therefore, the discount amount is 20 rupees.

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Add 212+(−13) . Write your answer as a mixed number in simplest form.
nordsb [41]

The value of the given expression after addition is 199 and this can not written as a mixed number in the simplest form.

According to the question,

We have the following expression:

212+(-13)

Now, we know that the multiplication of one negative and one positive integers is always positive.

So, we have the following expression:

212-13

199

Now, this number is whole number and it can not be written as a mixed number. It could only have been written as a mixed number when the result would have been in a fraction.

Hence, the value of the given expression after addition is 199 and this can not written as a mixed number in the simplest form.

To know more about addition here

brainly.com/question/19867930

#SPJ1

7 0
1 year ago
Multiply.<br><br> (3x+2)(2x−5)<br><br><br> 6x^2+4x−3<br> 6x^2−10<br> 6x^2−11x−10<br> 6x^2−13x−3
Serjik [45]

Answer: Heyaa! ^^

Your Answer when multiplied is.. 6x²−11x−10

Step-by-step explanation:

  • 6x^2−11x−10
  • Expand the polynomial using the FOIL method.

                    - FOIL EXPLANATION -

  • A handy way to remember how to multiply two binomials.

It stands for "First, Outer, Inner, Last"

  • - It is the sum of: -

· multiplying the First terms,

· multiplying the Outer terms,

· multiplying the Inner terms, and

· multiplying the Last terms

<em>Hopefully this helps you! ~</em>

6 0
2 years ago
1. Consider the right triangle ABC given below.
lbvjy [14]
#1) 
A) b = 10.57
B) a = 22.66; the different methods are shown below.
#2)
A) Let a = the side opposite the 15° angle; a = 1.35.
Let B = the angle opposite the side marked 4; m∠B = 50.07°.
Let C = the angle opposite the side marked 3; m∠C = 114.93°.
B) b = 10.77
m∠A = 83°
a = 15.11

Explanation
#1)
A) We know that the sine ratio is opposite/hypotenuse.  The side opposite the 25° angle is b, and the hypotenuse is 25:
sin 25 = b/25

Multiply both sides by 25:
25*sin 25 = (b/25)*25
25*sin 25 = b
10.57 = b

B) The first way we can find a is using the Pythagorean theorem.  In Part A above, we found the length of b, the other leg of the triangle, and we know the measure of the hypotenuse:
a²+(10.57)² = 25²
a²+111.7249 = 625

Subtract 111.7249 from both sides:
a²+111.7249 - 111.7249 = 625 - 111.7249
a² = 513.2751

Take the square root of both sides:
√a² = √513.2751
a = 22.66

The second way is using the cosine ratio, adjacent/hypotenuse.  Side a is adjacent to the 25° angle, and the hypotenuse is 25:
cos 25 = a/25

Multiply both sides by 25:
25*cos 25 = (a/25)*25
25*cos 25 = a
22.66 = a

The third way is using the other angle.  First, find the measure of angle A by subtracting the other two angles from 180:
m∠A = 180-(90+25) = 180-115 = 65°

Side a is opposite ∠A; opposite/hypotenuse is the sine ratio:
a/25 = sin 65

Multiply both sides by 25:
(a/25)*25 = 25*sin 65
a = 25*sin 65
a = 22.66

#2)
A) Let side a be the one across from the 15° angle.  This would make the 15° angle ∠A.  We will define b as the side marked 4 and c as the side marked 3.  We will use the law of cosines:
a² = b²+c²-2bc cos A
a² = 4²+3²-2(4)(3)cos 15
a² = 16+9-24cos 15
a² = 25-24cos 15
a² = 1.82

Take the square root of both sides:
√a² = √1.82
a = 1.35

Use the law of sines to find m∠B:
sin A/a = sin B/b
sin 15/1.35 = sin B/4

Cross multiply:
4*sin 15 = 1.35*sin B

Divide both sides by 1.35:
(4*sin 15)/1.35 = (1.35*sin B)/1.35
(4*sin 15)/1.35 = sin B

Take the inverse sine of both sides:
sin⁻¹((4*sin 15)/1.35) = sin⁻¹(sin B)
50.07 = B

Subtract both known angles from 180 to find m∠C:
180-(15+50.07) = 180-65.07 = 114.93°

B)  Use the law of sines to find side b:
sin C/c = sin B/b
sin 52/12 = sin 45/b

Cross multiply:
b*sin 52 = 12*sin 45

Divide both sides by sin 52:
(b*sin 52)/(sin 52) = (12*sin 45)/(sin 52)
b = 10.77

Find m∠A by subtracting both known angles from 180:
180-(52+45) = 180-97 = 83°

Use the law of sines to find side a:
sin C/c = sin A/a
sin 52/12 = sin 83/a

Cross multiply:
a*sin 52 = 12*sin 83

Divide both sides by sin 52:
(a*sin 52)/(sin 52) = (12*sin 83)/(sin 52)
a = 15.11
3 0
3 years ago
Read 2 more answers
H(t) = -t + 3; Find h(-5)
Anastasy [175]

Answer:

8

Step-by-step explanation:

h(t) = -t + 3;

h(-5)

Let t = -5

h(-5) = - -5 +3

       = 5+3

       = 8

7 0
3 years ago
Read 2 more answers
Which of the following ordered pairs is a solution to the equation? (-4,-1) (-2,0) (0,3) (9,1)
Natalija [7]
The answer is (0,3) the line hits at positive 3
3 0
3 years ago
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