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pickupchik [31]
2 years ago
13

Find sin theta in the given triangle​

Mathematics
1 answer:
lana [24]2 years ago
7 0
Sin = surd 3 / 2

get it????
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Convert the equation r = 12 sin theta to Cartesian coordinates. Describe the resulting curve.
VLD [36.1K]

Answer:

Step-by-step explanation:

Given that there is a polar equation as

r=12 sin \theta

This has to be converted into cartesian.

We know the conversion is

r^2 =x^2+y^2 \\tan \theta = \frac{y}{x}

Using this we can say that

sin^2 \theta = 1-cos^2 \theta \\= 1-\frac{1}{sec^2 \theta} \\=1-\frac{1}{1+tan^2 \theta} \\=1-\frac{1}{1+\frac{y^2}{x^2} } \\=1-\frac{x^2}{x^2+y^2} \\=\frac{y^2}{y^2+y^2}

\sqrt{x^2+y^2} =12(\frac{y}{\sqrt{x^2+y^2} } \\x^2+y^2 =12y\\x^2+y^2-12y+36 = 36\\x^2+(y-6)^2 = 6^2}

Circle with centre (0,6) and radius 6.

7 0
3 years ago
Grant needs 2/3 cup of raisins and 3/4 cup of almonds to make trail mix, which statement can be used to find out if their are mo
mina [271]
To solve this problem, you must find a common denominator. First, you multiply the denominators together, then, multiply the numerator of the first fraction by the original denominator of the second fraction and vis-versa. 

3*4 = denominator of both
2*4 = numerator of first fraction
3*3 = numerator of second fraction

Your fractions should end up being 8/12 cups of raisins and 9/12 cup of almonds. You can now compare these fractions. 

Overall, there are 1/12 more almonds than raisins.

5 0
3 years ago
Read 2 more answers
Melvin has 1/2 of a cake. He shares the cake equally with each of 2 friends and himself. Show me how u got your answer
Naddik [55]
The half of a cake has volume which can be divided by 3
3 0
4 years ago
A rectangular yard has dimensions 10 meters by 8 meters. In the middle of the yard is a rectangular pond of 8 square meters, lea
Nikolay [14]

hahahaha i had this same question in my grade

8 0
3 years ago
In the figure, BC is a support for the roof<br> of a garage. What is the length of BC?
Sonbull [250]

Answer:

Bc = √63 ft

Step-by-step explanation:

Here, we want to get the length of BC

As we can see, there is a right angled triangle ABC, with 12ft being the hypotenuse and 9 ft the other side

So we want to get the third leg which is BC

we can use the Pythagoras’ theorem here

And that states that the square of the hypotenuse equals the sum of the squares of the two other sides

let the missing length be x

12^2 = x^2 + 9^2

144 = x^2 + 81

x^2 = 144-81

x^2 = 63

x = √63 ft

4 0
2 years ago
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