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tangare [24]
3 years ago
7

If 3a = cosec x and 3/a = cot x, find the value of 3(a2 - 1/a2)​

Mathematics
1 answer:
insens350 [35]3 years ago
3 0

\csc(x) =  \frac{r}{y}  =  \frac{3a}{1} \\  \cot(x)  =  \frac{x}{y}  =  \frac{3}{a} \\ y = a = 1   \\  \\ 3( {a}^{2} - \frac{1}{{a}^{2} } ) \\   3( {1}^{2}  -  \frac{1}{ {1}^{2} } ) \\  = 0

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11. Mis the midpoint of QR. Q is at (-8, 2) and M is at (4, -3). Find the coordinates of the endpoint R.​
tamaranim1 [39]

Answer:

R(16,-8)

Step-by-step explanation:

if (x1,y1) and (x2,y2) are coordinates of two points and (x,y) the coordinate of midpoint.

then x=(x1+x2)/2

and y=(y1+y2)/2

let coordinates of R are (x,y)

4=(-8+x)/2

8=-8+x

x=8+8=16

-3=(2+y)/2

-6=2+y

y=-6-2=-8

so R is (16,-8)

8 0
3 years ago
Find the value of x.
Svetlanka [38]

Answer:

hi

Step-by-step explanation:

84⁰+103⁰+120⁰=307⁰

360⁰-307⁰=53⁰

x is 53⁰

have a nice day

3 0
3 years ago
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I need help with making predictions with probability please help me correctly answer these questions.
Semmy [17]

Answer:

1. So the porpotion should be 25/100 = x/120

You have this because you know that 25% of the dogs who go to ABC veterinarian need a rabies booster. So 100% of the dog should be 120 dogs, and now our job is to find how many dogs make up 25% percent of the total number.

According to our porpotion, we have:

(120 . 25)/100 = 30 (dogs)

Another way of understanding this is that you have to find 25% of the total amount, so just take that total number and multiply it with 25% or 25/100 which is 0.25 as well, that's why we multiply it with 25 first and then divide it to 100 later.

2.

*I guess there is no need of explaining it

0.9 × 550 = 495

6 0
2 years ago
What is the area of this triangle in the coordinate plane?
SpyIntel [72]

Answer:2. Given the points A, B, C, D, calculate:

(a) the angle B of the triangle ABC

(b) the area of the triangle ABC

(c) the median BE of the triangle ABC

(d) the height AH of the triangle ABC

(e) the volume of tetrahedron ABCD

(f) the point E so that ABCE is a parallelogram.

A(-1, 2, -3), B(4, -1, 0), C(2, 1, -2), D( 3,4,5)​

Step-by-step explanation:

5 0
3 years ago
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100 points on the line Two similar rectangles are shown. Which statement is true? A) The area of rectangle B is 1 3 the area of
zimovet [89]

Answer:

C

Step-by-step explanation:

Area of rectangle A is 2 and area of B is 18. 18 divided by 2 is 9. Therefore rectangle B is 9 times the area of rectangle A

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3 years ago
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