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Naddika [18.5K]
3 years ago
14

Which of the following is equivalent to tan 5pie/6?​

Mathematics
1 answer:
nataly862011 [7]3 years ago
5 0

Answer: should be -1/ sqrt of 3. If it asks to rationalize it could be -sqrt of 3/3

Step-by-step explanation:

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Connor bought a pack of 4 notebooks for<br> $8.20. What was the unit price? please explain
Mamont248 [21]

Answer:

$2.05

Step-by-step explanation:

$8/4 notebooks= $2

.20/4=.05

________________

$2.05

3 0
3 years ago
Which of the following describes the zeroes of the graph of f(x) = –x5 + 9x4 – 18x3?
Flura [38]

Answer:

0 with multiplicity 3, 3 with multiplicity 1, and 6 with multiplicity 1.

7 0
2 years ago
Read 2 more answers
The graph of f(x) = 2x + 3 shifts 10 units to the right when it is replaced with the graph of f(x) = 2x − k. What is the value o
Nezavi [6.7K]

Answer:

k=17

Step-by-step explanation:

Given F(x)=2x+3  shifts 10 units when it is replaced with the graph f(x)=2x-k.

The method to solve this kind of questions is find where the graph meets the x axis then add ten units to it .The obtained x coordinate is the point where the second graph meets the x axis.

Now first find where the F(x)=2x+3 meets the x axis by substituting F(x)=0.

2x+3=0

x=-\frac{3}{2}

Now add 10 to this x coordinate , we get x1=10-3/2=17/2

this is x coordinate where the second line meets the x-axis.

The second line is F(x)=2x-k.

now f(x)=0 and x=17/2

On substitution we get 0=2*17/2-k

k=17

3 0
3 years ago
The height of a trapezoid is 8 in. And its area is 96 in2. One base of the trapezoid is 6 inches longer than the other base. Wha
Vsevolod [243]

Answer:

The lengths of the bases are 9 inches and 15 inches.

Step-by-step explanation:

The area of trapezoid is

=\frac12(\textrm{ sum of parallel sides})\times height

Given that the height of a trapezoid is 8 in. and its area is 96 in².

Assume the bases of the trapezoid be b₁ and b₂.

Since one base of the trapezoid 6 in. longer than the other.

Let, b₁=b₂+6

The area of the trapezoid is

=\frac 12 (b_1+b_2)\times8 in²

=\frac12 (b_2+6+b_2)\times 8 in²

=\frac12(2b_2+6)\times8 in²

According to the problem,

\frac12(2b_2+6)\times8 =96

\Rightarrow 2b_2+6=\frac{96\times 2}{8}                [ Multiplying \frac28 ]

\Rightarrow 2b_2+6=24

\Rightarrow 2b_2=24-6

\Rightarrow 2b_2=18

\Rightarrow b_2=\frac{18}{2}

\Rightarrow b_2=9

Then, b_1=b_2+6

              =9+6

             =15 in

The lengths of the bases are 9 inches and 15 inches.

5 0
3 years ago
This is a sketch of the curve with equation y=f(x) the vertex of the curve is at (2,-3)
Law Incorporation [45]

Answer:

see explanation

Step-by-step explanation:

(a)

Given f(x) then f(x) + c represents a vertical translation of f(x)

• If c > 0 then a shift up of c units

• If c < 0 then a shift down of c units

f(x) + 5 represents a shift up of 5 units, thus

(2, - 3 ) → (2, - 3 + 5 ) → (2, 2 )

(b)

Given f(x) then - f(x) represents a reflection of f(x) in the x- axis

Under a reflection in the x- axis

a point (x, y ) → (x, - y ), thus

(2, - 3 ) → (2, 3 )

7 0
3 years ago
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