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TiliK225 [7]
3 years ago
15

Using the unit circle find the exact value. CSC -30º =​

Mathematics
1 answer:
AlexFokin [52]3 years ago
8 0

Answer:

csc (- 30)° = - 2

Step-by-step explanation:

Using the trigonometric relationship

csc x = \frac{1}{sinx} and the exact value sin30° = \frac{1}{2}

sin(- 30)° = - sin30° = - \frac{1}{2}, thus

csc (- 30)° = \frac{1}{-\frac{1}{2} } = - 2

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A right rectangular prism is shown. The two dimensional net is also shown. Find the surface area of this prism.
Natasha_Volkova [10]

Hey!

------------------------------------------------

Surface Area Formula: 2LW * 2LH * 2WH

------------------------------------------------

2LW:

5 x 1 = 5

5 x 2 = 10

------------------------------------------------

2LH:

4 x 1 = 4

4 x 2 = 8

------------------------------------------------

2WH:

5 x 4 = 20

20 x 2 = 40

------------------------------------------------

Surface Area:

40 + 8 + 10= 58

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Answer:

D) 58 cm2

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Hope This Helped! Good Luck!

5 0
3 years ago
Find the ratio a:b, if 2a−b/6 = b/3
Tom [10]

Answer:

a:b = 2

Step-by-step explanation:

Here we need to operate with terms in order to arrive to a ratio a:b (or a/b).

We have:

2a−b/6 = b/3

Lets sum b/6 in both sides:

2a−b/6 + b/6 = b/3 + b/6

2a = b/3 + b/6

Now, we can multiply and divide b/3 by 2 to make a 6 appear on the denominator and sum it with b/6, this is, use common denominator:

2a = b/3*(2/2) + b/6

2a = 2b/6 + b/6

2a = 3b/6

2a = b/2, as 3/6 = 1/2

Now lets divide both sides by b to make an a/b appear:

2a/b = (b/2)/b

2a/b = 1/2

Finally, multiply both sides by (1/2) or divide by 2:

(2a/b)/2 = 2

a/b = 2

This is, a is twice as b. If b is 1 so a is 2; if b is 45 so a is 90, and so on.

7 0
3 years ago
The ellipse is centered at the point (-3,2). The length of its horizontal axis 7. What is the ellipse's equation?
Gelneren [198K]
(-3,2) x 7 is the quation
4 0
3 years ago
Drag the tiles to the correct boxes to complete the pairs. Not all tiles will be used.
My name is Ann [436]

x = 2  \\ y = 7

is the answer to:

y = 11 - 2x \\ 4x - 3y =  - 13

_________________________________________

x = 5 \\ y = 2

is the answer to:

2x + y = 12 \\ x = 9 - 2y

_________________________________________

x = 3 \\ y = 5

is the answer to:

2x + y = 11 \\ x - 2y =  - 7

_________________________________________

x = 7 \\ y = 3

is the answer to:

x + 3y = 16 \\ 2x - y = 11

3 0
3 years ago
If a tank holds 5000 gallons of water, which drains from the bottom of the tank in 40 minutes, then Torricelli's Law gives the v
pochemuha

Answer:

V'(t) = -250(1 - \frac{1}{40}t)

If we know the time, we can plug in the value for "t" in the above derivative and find how much water drained for the given point of t.

Step-by-step explanation:

Given:

V = 5000(1 - \frac{1}{40}t )^2  , where 0≤t≤40.

Here we have to find the derivative with respect to "t"

We have to use the chain rule to find the derivative.

V'(t) = 2(5000)(1 - \frac{1}{40} t)d/dt (1 - \frac{1}{40}t )

V'(t) = 2(5000)(1 - \frac{1}{40} t)(-\frac{1}{40} )

When we simplify the above, we get

V'(t) = -250(1 - \frac{1}{40}t)

If we know the time, we can plug in the value for "t" and find how much water drained for the given point of t.

4 0
3 years ago
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