What is sec 0 when tan 0 = square root of 3
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sec 0 = [ ?
Rationalize the denominator if necessary.
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Answer 1

Answer:

square both sides

I.e,tan²0=3

from,tan²0 +sec²0 = 1

so,tan²0=1-sec²0

1 - sec²0=3

sec²0 = 1 - 3

sec²0=-2

square root both sides

sec0 =√-2


Related Questions

please help me please.

Answers

Step-by-step explanation:

For every clockwise 90-degree rotation on a point (x, y), the resulted transformation will be (y, -x).

Now, counterclockwise 270 degree rotation is equivalent to clockwise 90 degree rotation. Then, for instance, point H=(2 ,-1) will be transformed into the image H'=( -1,2)

Multiply and simplify completely:
(3x + 5) (2x2 – 3x + 2)
Show all work for full credit.

Answers

Answer:

[tex](3x + 5)(2 {x}^{2} - 3x + 2) \\ \\ (3x)(2 {x}^{2} - 3x + 2) + (5)(2 {x}^{2} - 3x + 2) \\ \\ 6 {x}^{3} - 9 {x}^{2} + 6x + 10 {x}^{2} - 15x + 10 \\ \\ = 6 {x}^{3} + {x}^{2} - 9x + 10[/tex]

I hope I helped you^_^

Answer:

[tex]6x^3+x^2-9x+10[/tex]

Step-by-step explanation:

[tex](3x+5)(2x^2 - 3x+2)[/tex]

Distribute

[tex]3x(2x^2-3x+2)+5(2x^2-3x+2)[/tex]

Distribute

[tex]6x^3-9x^2+6x+5(2x^2-3x+2)[/tex]

Distribute again

[tex]6x^3-9x^2+6x+10x^2-15x+10[/tex]

Combine like terms

[tex]6x^3+1x^2+6x-15x+10[/tex]

Multiply by 1

[tex]6x^3+x^2+6x-15x+10[/tex]

Combine like terms

[tex]6x^3+x^2-9x+10[/tex]

factorise
[tex]4p {}^{3} q + 12p {}^{2} q {}^{2} + 8pq {}^{3} [/tex]

Answers

[tex]4 {p}^{3} q + 12 {p}^{2} {q}^{2} + 8p {q}^{3} \\ = 4pq(p + q)(p + 2q)[/tex]

I hope I helped you^_^

4r + 13 = -15 -3r
i dont know how to do this and its due at 4

Answers

Answer:

r = -4

Step-by-step explanation:

4r + 13 = -15 -3r

7r = -28

r = -28/7

r = -4

Answer:

r = -4

Step-by-step explanation:

4r + 13 = -15 -3r

Add 3r to each side

4r + 13+3r = -15 -3r+3r

7r +13 = -15

Subtract 13 from each side

7r+13-13 = -15-13

7r = -28

Divide each side by 7

7r/7 = -28/7

r = -4

Use your birthday month and day only, and find the sum and the product and the difference, and quotient.

month is 3 and day is 11

Answers

Answer:

sum 14, difference -8, product 33, quotient 3/11

Step-by-step explanation:

Sum: add

3 + 11 = 14

Difference: subtract

3 - 11 = -8

Product: multiply

3 * 11 = 33

and quotient: divide

3 / 11

(we can leave it like this as a fraction)


WILL MARK BRAINLIEST: In a car park, 2/3 of the cars are red.
1/5 of the cars are blue.
What fraction of the cars are red or blue?

Answers

Answer:

13/15

Step-by-step explanation:

Answer:13/15

Step-by-step explanation:

(PLEASE ANSWER ASAP I JUST NEED TO KNOW IF I GOT THIS ONE CORRECT PLEASE EXPLAIN ALSO)

Answers

Hey there! I'm happy to help!

We have $100.75 to spend.

Each spool costs $3, and we have 24 spools.

3×24=72

Each glue costs $1 and we have 7 packages of glue.

7×1=7

We add up these expenses.

72+7=79

And we subtract from our total amount.

100.75-79=21.75

So, Joanna has $21.75 left after buying these things.

Have a wonderful day and keep on learning! :D

Answer:

21.75

total money she has is 100.75

1 spool of ribbon $3

she buys 24 spools = 24X3

$72

1 glue cost $1

so 7 package glue cost =7X1= $7

money that he left is equals to 100.75- 79

=21.75

What are the coordinates of the point on the directed line segment from (-10, -3)
to (10,7) that partitions the segment into a ratio of 3 to 2?

Answers

Answer:

p(x,y)= (2,3)

Step-by-step explanation:

i have used partition formula in the pic below. If there is any question you can ask me in comment.

Mr. Hayes has 111 straw bundles to use for bedding in his horse stalls.What is the greatest number of stalls he can fill if each stall holds exactly 4 bundles of straw?

Answers

111 straw bundles / 4 per stall = 27.75
However, you can’t technically have a .75 of a stall, so you round down to the nearest whole number, which is 27.

how to solve this things

Answers

Answer:

8/5

Step-by-step explanation:

...................

smg membantu, mff kl slh

The area of the square is 64 ft? What are the side lengths?
4
4 ft, 16 ft 4 ft, 16 ft
B)
16 ft, 16 ft, 16 ft, 16 ft
C)
8 ft. 8 ft, 8 ft. 8 ft
D)
4 ft. 4 ft 4 ft. 4ft

Answers

Answer:

C

Step-by-step explanation:

the square root of 64 is 8ft

PLS HELP ASAP GIVE ANSWER RQ
Add 5 to x, double what you have, then subtract 3 from the result and simplify the expression.
a.2x + 10
b.2x + 7
c.x + 7
d.2x – 7

Answers

ANSWER:
b. 2x+7

work shown

Write 3.7777... As a mixed number

Answers

Answer:

3  7777/10000

Step-by-step explanation:

Answer:

[tex]3\frac{7}{9}[/tex]

Step-by-step explanation:

[tex]3.777...=3+0.777...[/tex]

[tex]0.777...=x\\7.777...=10x[/tex]

[tex]10x-x=7.777...-0.777...\\9x=7\\x=\frac{7}{9}[/tex]

The answer is [tex]3\frac{7}{9}[/tex]

How would I prove the congruency of these triangles?

Answers

Step-by-step explanation:

the radius cuts the segment into two equal parts because it is perpendicular to the chord

Answer:

Step-by-step explanation:

As O is the mid point of the circle

Similarly, B also becomes the mid point of the line AC.

So, line OB divides AB and BC equally.

Hence, lines AB = AC, but they are asking to prove congruency of triangles.

So, u have to join OA and OC.

Same way,   line OB divides ∠OBA and ∠OBC.

So it is proved that AB = AC

(a) Write these in order of size starting with the smallest 0.8 78% ⅞ 0.71​

Answers

Answer:

0.71, 78%, 0.8, [tex]\frac{7}{8}[/tex]

Step-by-step explanation:

78% = 0.78

7/8 = 0.875

What is the difference between the sum of 1/2 and 10 and the product of 1/2 and 10?

Answers

10.5-5=5.5

1 1/2 x 10 =5 and 1/2 + 10 = 10.5
10.5-5=5.5
the answer is 5.5

Pls help me i’ll really appreciate it!!

Answers

this is loki ez

but just go in order

jskaoqlqmsbdnsoqqk
[tex] \sqrt{5} \times \sqrt{15} \times \sqrt{3} [/tex]

Answers

Answer:

[tex] \sqrt{5} \times \sqrt{15} \times \sqrt{3} \\ \\ \sqrt{5 \times 15 \times 3} \\ \\ = 5 \times 3 \\ \\ = 15[/tex]

[tex]\\ \rm\longmapsto \sqrt{5}\times \sqrt{15}\times \sqrt{3}[/tex]

[tex]\\ \rm\longmapsto \sqrt{5\times 15\times 3}[/tex]

[tex]\\ \rm\longmapsto \sqrt{5\times 5\times 3\times 3}[/tex]

[tex]\\ \rm\longmapsto 5(3)[/tex]

[tex]\\ \rm\longmapsto 15[/tex]

4.
Evaluate the expression below if
Y = -1 and y-3
3x-y

Answers

Answer:

• If y= -1 and x= -3-8

• If y= -3 and x= -1-1

Step-by-step explanation:

If you mean: Let y= -1 and x= -33x - y = ?3(-3) - (-1) = ?-9 - (-1) = ?-8If you mean:Let y= -3 and x= -13x - y = ?3(-1) - (-3) = ?-4 - (-3) = ?-1

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

PLEASE HELP ME IM RUNNING LOW ON TIME

Answers

Answer:

[tex]1)x = 8 \\ x + y + 2 = 8 + y + 2 = 10 + y \\ 2)x = 9 \\ x + y + 2 = 9 + y + 8 = 17 + y \\ 3)y = 3 \\ x + y + 2 = x + 3 + 2 = x + 5 \\ 4) y = 0 \\ x + y + 2 = x + 0 + 2 = x + 2 \\ 5)x = 6 \: y = 2 \\ x + y + 2 = 6 + 2 + 2 + = 10 \\ thank \: you[/tex]

A commodity was sold for 120.00 at a 20% loss on the cost. What is the price of the merchandise?​

Answers

Answer:

$150

Step-by-step explanation:

CP = 100/(100 - L%) × SP

CP = 100/(100 - 20) × 120

CP = 100/80 × 120

CP = 5/4 × 120

CP = 5 × 30

CP = $150

Please find the value of x

Answers

Answer:

[tex]2x - 10 = 3x - 40 \\ x \: terms \: togather \\ 3x - 2x = - 1 0 + 40 \\ x = 30 \\ thank \: you[/tex]

2.
Graph the set of points. Which model is most appropriate for the set? (–6, –1), (–3, 2), (–1, 4), (2, 7)

A. linear
B. exponential
C. quadratic

Answers

Answer:

A. linear

Step-by-step explanation:

Which of the following properties is this?

8x/3 • 3/8x = 1

Answers

Answer:

Multiplication

Step-by-step explanation:

Multiplication

Please help! This is due soon!!!
Write a function that has roots at x=2,6.

Answers

Answer:

x^2-8x+12

Step-by-step explanation:

(x-2)(x-6) roots= 2,6

x^2-6x-2x+12

=x^2-8x+12

Find the slope of a line that contains the two points. (-2, 8) and (1, 2)?

Answers

Answer:

The slope is -2

Step-by-step explanation:

(-2, 8) and (1, 2)

Slope formula:

m= (y2-y1)/(x2-x1)

Work:

m= (2 - 8)/(1 + 2)

m= (-6)/3

m = -2

36. A function g is described below
.
g(x) = (x - 3)2 + 1
• The domain of g is all real numbers greater than 0.
The range of g is all real numbers greater than
or equal to -
F. 1
H. -3
G. 3
J. 10

Answers

Answer: F

Step-by-step explanation:

A square is always positive:

[tex](x-3)^2 \geq 0\\\\g(x)=(x-3)^2+1 \geq 1\\\\answer\ F\\[/tex]

Answer:

F.

Step-by-step explanation:

The expression (x - 3)^2 is always >= 0.

The minimum value of g occurs when x = 3 :- that is (3-3)^2 + 1 = 1.

The range of g(x) is all real numbers >=  1.

Pringle's variety pack 18 cups for $6.48 cost per cup

Answers

Answer:

0.36

Step-by-step explanation:

Which one of the following
lists correctly places these
rational numbers in order from
least to greatest?
-1.20, -1/5 -174-17g. -1.30

Answers

ANSWER:
in order from least to greatest
-174-17g
-1.30
-1.20
-1/5

Is 16g + 10 - 4g and 20g + 10 equivalent

Answers

No 16g-4g+10 = 12g+ 10
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