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Svetllana [295]
3 years ago
15

What is the value of sin 0 given that (-3,7) is a point on the terminal side 0

Mathematics
1 answer:
aliina [53]3 years ago
8 0

Answer:

\frac{7\sqrt{58}}{58}

Step-by-step explanation:

\\\text{Given that a point on the terminal side of }\theta \text{ is }(-3,7)\\\\\text{so the terminal side is in Quadrant II}\\\\\text{In the right triangle OMN, using Pythagorean theorem, we get}\\\\\text{ON}=\sqrt{(MN)^2+(OM)^2}\\\\\Rightarrow ON=\sqrt{(7)^2+(-3)^2}\\\\\Rightarrow ON=\sqrt{49+9}\\\\\Rightarrow ON=\sqrt{58}\\

\\\text{we know that in Quadrant II, sine and cosecant are positive.}\\\text{so using the trigonometric ratios, we get}\\\\\sin \theta=\frac{\text{Opposite }}{\text{Hypotenus}}\\\\\Rightarrow \sin \theta=\frac{7}{\sqrt{58}}\\\\\Rightarrow \sin \theta=\frac{7\sqrt{58}}{58}\\

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kevin opens a savings account with $750. the interest rate is 5%, compounded annually. How much money will he have in his accoun
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If he does not touch the money at all, he will be given $1989.97 at the end if compounded annually.
3 0
3 years ago
Find the volume of both shapes please answer will give brainiest Also please answer neatly.
SSSSS [86.1K]

Answer:

2). Volume = 14400 feet³

3). Volume = 157.5 ft³

Step-by-step explanation:

Both the figures given in the sheet attached are a rectangular pyramid and a triangular prism.

2). In this part of the question solid given is in the shape of an rectangular pyramid.

Volume of this oblique pyramid = \frac{1}{3}(\text{Base})(\text{Height})

Here 'B' = area of the base

h = height of the pyramid

Volume = \frac{1}{3}(25\times 36)\times 48

             = 14400 cubic feet

4). Volume of a triangular cone = (Area of the triangular base)×(height)

                                                    = [\frac{1}{2}(\text{Base})(\text{height})]\times {\text{height of the prism}}

                                                    = \frac{1}{2}(7\times 9)\times {5}

                                                    = 157.5 ft³

6 0
3 years ago
Raman and Raj go for a party each having Rs. 100, If they decide to expend Rs. 150, Then in how many ways they can make the paym
Oduvanchick [21]

Answer:

only 1 way

Step-by-step explanation:

both of them give their Rs.100 so now it's Rs.200 so pay RS 200 and they'll get Rs 50 as the remain

8 0
2 years ago
Each packet of the cooking oil weighs 2/5th of a kilogram and one kilogram of the cooking oil costs $6.5. Sara went to the groce
Reika [66]

Answer:

C) $20.80

Step-by-step explanation:

1 kg of cooking oil = $6.5

1 packet of cooking oil =2/5 kg

If 1 kg of cooking oil = $6.5

2/5kg of cooking oil = $X

Cross Multiply

1kg × $X = 2/5kg × $6.5

$X = 13/5

$X = 2.6

Hence 2/5kg of oil cost $2.6

Since 1 packet of oil = 2/5kg of oil , 1 packet of oil cost $2.6

The amount she spent if she bought if she bought 8 packets of the cooking oil is calculated as:

1 packet of oil = $2.6

8 packets of oil =

$2.5 × 8

= $20.80

Therefore,if Sara bought 8 packets of oil, the amount she would spend = $20.80

7 0
3 years ago
Solve for r and t:<br> 6r - 3t = 6<br> 6r + 8t = -16
MAVERICK [17]
Multiply the first equation with (-1)
you should get this

-6r + 3t = -6
6r + 8t = -16

start to eliminate

11t = -22

divide by 11

t = -2

substitute 

6r - 3(-2) = 6
6r + 6 = 6
6r = 6 - 6
6r = 0 
r=0
8 0
2 years ago
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