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Kay [80]
3 years ago
9

Math please help now fast

Mathematics
1 answer:
sukhopar [10]3 years ago
6 0
1. Rational
2. No Rational
3. Rational
4. Rational
5. Rational
6. No Rational
7. Rational
8. 


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Please answer it now in two minutes
Orlov [11]

Answer:

c = 6√2

Step-by-step explanation:

The following data were obtained from the question:

Angle θ = 30°

Opposite = 3√2

Hypothenus = c

The value of 'c' can be obtained by using the sine ratio as shown below:

Sine θ = Opposite /Hypothenus

Sine 30° = 3√2/c

Cross multiply

c × sine 30° = 3√2

Divide both side by sine 30°

c = 3√2 / sine 30°

But: sine 30° = 1/2

c = 3√2 / sine 30°

c = 3√2 ÷ 1/2

c = 3√2 × 2

c = 6√2 yard

Therefore, the value of 'c' is 6√2 yard.

8 0
3 years ago
Can someone please help me!!
Sauron [17]
I think that the answer could be D
8 0
3 years ago
Read 2 more answers
An item is regularly priced at $94. It is now priced at a discount of 30% off the regular price.
Vedmedyk [2.9K]
30% off an item would make that item valued at 70% of its original price

94 times 0.7 = 65.8

$65.80
4 0
3 years ago
Read 2 more answers
Look at the pentagonal numbers. Use finite differences to determine which function represents the pattern.
Ahat [919]

Answer:

f(x) = 1.5x - 0.5x

Step-by-step explanation:

The function of the pattern represented by the pentagonal numbers is the sum of three triangular numbers.

The triangular number general formula

                      x (x + 1) / 2

For  example,

The sequence

1,     3,     6,      10

                                             *

                          *              *  *

         *           *   *          *   *  *

* ,    *  *,     *   *   *,     *   *   *  *

_____________________________

The pentagonal numbers

The sequence:

1, 5, 12, 22, 35

As shown in the picture can be divided into three triangles

Triangle 2

x (x + 1) / 2

Triangle 1 and 3  (they are triangles one unit smaller than 2)

n (n + 1) / 2

n= x-1

Replacing n

(x-1) ((x-1) + 1) / 2

(x-1) (x) / 2

(x-1) x / 2

______________

Function represents the pattern

Triangle 2  + (Triangle 1  +  Triangle 3)

Triangle 1  = Triangle 3

So then,

Triangle 2 + 2* Triangle 1

x (x +1) /2  + 2* (x -1) x/2

Rearranging

0.5 x (x +1) + x(x -1)

0.5x^2 + 0.5x + x^2 -x

(0.5 x^2 + x^2)  + (0.5x -x )

1.5 x^2 - 0.5 x  

______

3 0
3 years ago
Read 2 more answers
For the equation given below, evaluate y′ at the point (−2,2)<br> xe^y−4y=2x−4−2e^2
jeka94
Implicit differentiation
chain rule is important here

I'll show the steps partially
e^y+xe^yy'-4y'=2
xe^yy'-4y'=2-e^y
y'(xe^y-4)=2-e^y
y'=\dfrac{2-e^y}{xe^y-4}
now evaluate for (-2,2)
x=-2 and y=2
y'=\dfrac{2-e^2}{-2e^2-4}
y'=\dfrac{2-e^2}{-2e^2-4}
y'=\dfrac{e^2-2}{2e^2+4}
that's it, simplest form
3 0
3 years ago
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