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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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If the volume of the pyramid shown is 216 inches cubed, what is the area of its base?
Eddi Din [679]

Answer:

D.) 108 in.2

Step-by-step explanation:

Use the equations you know to help you figure this out. It may not be easy, but for you to understand, you need to learn how to do it. If you want work, try it out.. Not to be rude...

7 0
3 years ago
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If two dice are rolled, what is the probability that at least one number is odd and the sum of the two numbers is even?
mariarad [96]
D 1/2 because half the dice is odd and half is even
4 0
3 years ago
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Given x : y: z = 5:1:3 and z - y = 28. find the value of x + y​
Vera_Pavlovna [14]

Answer:

x + y = 84

Step-by-step explanation:

Given

x : y : z = 5 : 1 : 3, then

\frac{x}{y} = 5 ( multiply both sides by y )

x = 5y ←

and \frac{y}{z} = \frac{1}{3} ( cross- multiply )

3y = z

Substitute z = 3y into z - y = 28

3y - y = 28

2y = 28 ( divide both sides by 2 )

y = 14 ← ←

Substitute y = 14 into x = 5y

x = 5 × 14 = 70 ← ←

Substitute y = 14 into z - y = 28

z - 14 = 28 ( add 14 to both sides )

z = 42 ← ←

Thus x = 70, y = 14 and z = 42

Hence x + y = 70 + 14 = 84

5 0
3 years ago
Use the functions and the scenario to solve the problem.
SashulF [63]

The function f(x) - g(x) is an illustration of a composite function

Leanne's end result of f(x) - g(x) = -1/2x + 9 is correct

<h3>How to estimate the student's answer?</h3>

The functions are given as:

f(x) = 1/2x + 6

g(x) = x - 3

The function f(x) - g(x) is calculated using:

f(x) - g(x) = 1/2x + 6 - x + 3

Collect like terms

f(x) - g(x) = 1/2x - x + 6  + 3

Evaluate the like terms

f(x) - g(x) = -1/2x + 9

By comparing the above solution to the students' response, we can see that:

Leanne's end result of f(x) - g(x) = -1/2x + 9 is correct

Read more about composite functions at:

brainly.com/question/13502804

3 0
2 years ago
A bus is travelling with 52 passengers. When it arrives at a stop, y passengers get off and 4 get on. At the next stop one-third
MissTica

52-y+4
(2/3) (52-y+4)+3=25 ;; (1/3) get off, so (2/3) left
(2/3)(52-y+4) =22
52-y+4=33
-y=-23
y=23
3 0
3 years ago
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