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masha68 [24]
3 years ago
8

) Sarah donated one-tenth of her salary to an orphanage, one-third of her salary is spent on food, one-fourth of salary on rent

and electricity and one-twentieth of her salary on the telephone. She donated some amount to the Prime Minister's relief fund for the pandemic affected victims. She was left with ₹ 3000. If her monthly salary is ₹ 30,000: Find the amount she donated to the Prime Minister's Relief Fund
Mathematics
1 answer:
AleksAgata [21]3 years ago
8 0

Answer:

₹ 4000

Step-by-step explanation:

Sarah's salary =₹ 30000

  • one-tenth of her salary to an orphanage= 1/10*₹ 30000= ₹ 3000
  • one-third of her salary is spent on food= 1/3*₹ 30000= ₹ 10000
  • one-fourth of salary on rent and electricity =1/4*₹ 30000= ₹ 7500
  • one-twentieth of her salary on the telephone= 1/12*₹ 30000= ₹ 2500
  • donated some amount to the Prime Minister's relief fund = x
  • She was left with ₹ 3000.

x= ₹ 30000- (₹ 3000+₹ 10000+₹ 7500+₹ 2500+₹ 3000)= ₹ 4000

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Three trigonometric functions for a given angle are shown below. cosecant theta = thirteen-twelfths; secant theta = Negative thi
Kay [80]

Answer:

(–5, 12) is the correct answer.

Step-by-step explanation:

We are given the following values:

cosec\theta = \dfrac{13}{12}\\sec\theta=-\dfrac{13}{5}\\cot\theta =-\dfrac{5}{12}

Now, we know the following identities:

sin \theta = \dfrac{1}{cosec\theta}\\cos \theta = \dfrac{1}{sec\theta}\\tan \theta = \dfrac{1}{cot\theta}

Now, the values are:

sin\theta = \dfrac{12}{13}\\cos\theta=-\dfrac{5}{13}\\tan\theta =-\dfrac{12}{5}

Sine value is positive and cos, tan values are negative.

It can be clearly observed that \theta is in 2nd quadrant.

2nd quadrant means, the value of x will be negative and y will be positive.

Let us have a look at the value of tan\theta:

tan\theta  = \dfrac{Perpendicular}{Base}\\OR\\tan\theta  = \dfrac{y-coordinate}{x-coordinate} = -\dfrac{12}{5}\\\therefore y = 12,\\x = -5

Please refer to the attached image for clear understanding and detailed explanation.

Hence, the correct answer is coordinate (x,y) is (–5, 12)

8 0
3 years ago
How do you prove this?
frozen [14]

Answer:

Show ΔBCD ≅ ΔGFE, so ∠C ≅ ∠F. Base angle of an isosceles triangle are congruent, so ΔACF is isosceles.

Step-by-step explanation:

Informally, subtract DE from CE and DF. This will show CD ≅ EF.

Then ΔBCD ≅ ΔGFE by the HL theorem for right triangles.

Corresponding parts of congruent triangles are congruent, namely the angles C and F.

Since base angles of ΔACF are congruent, it is isosceles.

3 0
3 years ago
The scale on a map is ½ inch = 15 miles. How far apart are two towns that are 2 inches apart on the map? Someone help me please!
erastova [34]
The two towns would be 60 miles apart. Because 2 inches divided by 0.5 inches is 4. So you have to multiply 15 miles and you’ll 60 miles
5 0
4 years ago
Read 2 more answers
Please Help solve this
IgorLugansk [536]
Ok so to find the ratio just do 12/16 = 3/4. that's your common ratio.

The formula for sum of infinite :

a / (1 - r)

a is the first term and r is the ratio

which is

16 / (1 - (3/4))

which is

16 / (1/4)

16 * 4

which is 64
3 0
4 years ago
600g of 20% of the normal price of £5
max2010maxim [7]

Answer:

Step-by-step explanation:

600g of 20%

100 - 20 = 80

600 = 80%

/80%

7.5 = 1%

x100

750 = 100%

£750

Sorry I don’t know what else to write. Hopefully, this guarantees you a mark.

7 0
3 years ago
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