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3 years ago

6 sin _ _ 3 csc _ = 0

1 answer:

6 0

6 sin θ - 3 csc θ = 0
6 sin θ = 3 csc θ = 3/sin θ
6 sin^2 θ = 3
sin^2 θ = 3/6 = 1/2
sin θ = sqrt(1/2)
θ = arcsin(sqrt(1/2)) = 45 degrees.
θ = 45°

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a bag has a total of 120 notes in denominations of rs 2, rs. 5 and rs. 10. the total value of the notes in the bag is rs 760. if

Deffense [45]

So there are three variables, rs2 label x, rs5 label y, rs10 label z
Lets write equeations using these variables.
x+y+z=120 (A bag has a total of 120 notes)
2x+5y+10z=760 (total value)
2x+5*2y+10z=960 (twice as many rs5)

3 variables, 3 independent equations will give solution. There are a fair few ways to solve this.

8 0

3 years ago

Which expression is equivalent to 45.1+3.3?

Margarita [4]

100,11928292928228288383838388338382827288228288282882828228.

8 0

3 years ago

mridul jogs around a rectangular park of 100m by 80m at the rate of 9km per hour. how much time will he take in jogging 6 rounds

anyanavicka [17]

Answer:

14minutes

Step-by-step explanation:

first you need to find the distance which you must find the perimeter P=100+80+100+80

=360 so you multiple it by 6 to get

=2160meters

so you need to convert the meters to kilometers

which is 1000m =1km

what about 2160m you cross multiply

to get 2.16km.

so the distance represent D=2.16 km

and speed represent S=9km

now you need to find time represented by T

T=D/S

T=2.16km/9km/h

so the km cancels each other

you get 0.24h for this isn't the solution

you know that 1 hour= 60 minutes

 what about 0.24h you cross multiply

to get 14.4 so you round it off to get 14 minutes

3 0

3 years ago

Which of the following is a polynomial with roots: −square root of 3, square root of 3, and 2? ASAp

jekas [21]

Hello,

P(x)=(x-2)(x²-3)=x^3-2x²-3x+6
==========================

8 0

3 years ago

PLEASE SOLVE THIS :(

Lesechka [4]

Answer:

10.5 %

Skills needed: Financial Math Essentials

Step-by-step explanation:

1) First, before getting started, let's assume the price of the product is $x$ . This variable will be used a lot throughout the problem ( $x$ ).

2) Marking a price above means increasing the price in order to make money off of the purchased product. When raising something by $y$ percent, the new price would be $x + \frac{y}{100}*x$ .

---> In this case, the price increased by $\textbf{30}$ percent.

This means that it would be: $x+\frac{30}{100}x = x+0.3x=1.3x$

New price is: $1.3x$

3) The shopkeeper is then offering a $\textbf{15}$ percent discount off of this marked price. When offering a $b$ percent discount price, the new price (with discount), expressed algebraically is: $a-\frac{b}{100}a$