Using the unit circle, what is the exact value of tan pi/6?

Answer:

D

Step-by-step explanation:

sin theta is equal to perpendicular by hypotenuse

here perpendicular is equal to 15 and base is equal to 8 therefore hypotenuse will be equal to 17

on putting on putting the value of perpendicular by hypotenuse we get 15 by 17 as sin theta

Answer:

Step-by-step explanation:

hypotenuse = √(15²+8²) = √289 = 17

sinθ = (leg opposite θ)/hypotenuse = 15/17

Answer:

x = 52

Step-by-step explanation:

The triangle is isosceles. The markings tell us that.

The 76 is not opposite either one of the equal sides. Let the angle values opposite the equal sides be x

x + x + 76 = 180                      All triangles = 180

2x + 76 = 180                         Subtract 76 from both sides.

2x = 180 - 76

2x = 104                                 Divide both sides by 2

x = 104/2

x = 52

So x = 52

Answer:

y intercept is (0,-0.5) and the slope is 5.

Step-by-step explanation:

Let's rewrite the equation in slope intercept form.

Step 1: divide both sides by two:

[tex]\frac{2\left(y+1\right)}{2}=\frac{10x}{2}+\frac{3}{2}[/tex]

Step 2: simplify [tex]y+1=\frac{10x+3}{2}[/tex]

Step 3: subtract one from both sides: [tex]y+1-1=\frac{10x+3}{2}-1[/tex]

[tex]y=\frac{10x+3}{2}-1[/tex]

[tex]y = 5x - \frac{1}{2}[/tex]

Answer:

The answer is "6.093 years".

Step-by-step explanation:

The rate of decline in sales in [tex]22\%[/tex] per year.

The starting sales is 100 units:

Using compounding formula:

[tex]\to 100 \times (1-\frac{22}{100})^t=22\% \ of \ 100\\\\\to 100 \times (\frac{100-22}{100})^t=\frac{22}{100} \times \ 100\\\\\to (\frac{78}{100})^t=\frac{22}{100}\\\\\to 0.78^t=0.22\\\\\text{taking \log on both the sides}\\\\[/tex]

taking log on both sides

[tex]\to \log_e \ 0.78^t= \log_e\ 0.22\\\\\to t \log_e \ 0.78= \log_e\ 0.22\\\\\to t = \frac{\log_e 0.22}{\log_e 0.78}\\\\[/tex]

      [tex]= \frac{-0.6575}{-0.1079}\\\\= \frac{0.6575}{0.1079}\\\\=6.093[/tex]

Answer:

D

Step-by-step explanation:

Answer:

The answer is A.

Step-by-step explanation:

Answer:

-5x + 2y=2

Step-by-step explanation:

[tex]- 7x + 3y = 2 \\ - 2x + y = 0 \\ subtracting \: this.we \: have \\ ( - 7x \: + 3y - 2) - ( - 2x + y) \\ - 7x + 2x + 3y - y - 2 \\ - 5x + 2y - 2 \\ therefore \: we \: have \\ - 5x + 2y = 2[/tex]

Answer:

25.28 cm

Step-by-step explanation:

The chord is 6cm away from the centre of the circle . And the radius of the circle is 14 cm . We know that the perpendicular from the centre bisects the chord .

This will form a right angle triangle with the distance between centre and the code as its perpendicular and the length of radius as hypotenuse .

[tex]\implies Base^2+Perpendicular^2=Hypontenuse^2 \\\\\implies b^2 + (6cm)^2=(14cm)^2 \\\\\implies b^2 + 36cm^2= 196cm^2 \\\\\implies b^2 = 196cm^2-36cm^2 \\\\\implies b^2 = 160cm^2 \\\\\implies b=\sqrt{160cm^2}\\\\\implies b = 12.64 cm [/tex]

Hence the required answer is 12.64 × 2 = 25.28cm .

Hello,

Let's use the Pythagorian 's theorem.

The length of the chord = 8*V10=25,2982.... (cm)

Answer: 40

Step-by-step explanation:

If you cut 20 lemons by half and then cut half of these halves by half, then 80  lemon parts we have

A division is a process of splitting a specific amount into equal parts.

Given that 20 lemons are cut by half.

cut half of these halves by half.

We need to find how many lemon parts will you have.

Let us consider a lemon whic is 1

Now let us make it half 1/1/2=2

Now each part is divided to half =2/(1/2)=4

So for one lemon it has 4 parts.

Now let us find for 20 lemons.

Multiply 20 with 4

20×4

80 parts

Hence, If you cut 20 lemons by half and then cut half of these halves by half, then 80  lemon parts will you have

To learn more on Division click:

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Answer:

the above answer help you guy.

h

,

Answer:

2 * $87 - $12 = R

Step-by-step explanation:

Let R represent the cost of Vanessa's rent.

Vanessa spent $87.00 on entertainment for the week.

Her rent costs twelve dollars less than double that amount. Breaking it down, the expression "double that amount" is expressed as (2 × 87). Subtracting 12 from double that amount, the final expression would become

R = 2(87) - 12

R =

R = 174 - 12

The correct option is

2 * $87 - $12 = R

ANSWER:

10 units

EXPLAINATION:

The measure of the indicated side would be 10 units because the triangle shown here is a equilateral triangle this can be seen by the picture in which all the angles of the triangle are equal.

Answer:

equation A and equation c

Answer:

Equation A and Equation C

Answer:

10%

Step-by-step explanation:

You have the correct answer. Nice job!

Answer: D. (5, 4)

Step-by-step explanation:

An x-intercept of -1 means the point = (-1, 0)

So find the slope(m) using the formula: [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]

[tex](x_{1},y_{1})=(-4,-2)\\(x_{2},y_{2})=(-1,0)\\\\m = \frac{0-(-2)}{-1-(-4)}=\frac{0+2}{4-1}=\frac{2}{3}[/tex]

Now find the y-intercept(b) by substituting a point into the function:

y = mx + b

[tex]y=\frac{2}{3} x+b\\\\0=\frac{2}{3} (-1)+b\\\\0=-\frac{2}{3}+b\\\\b=\frac{2}{3}[/tex]

So now the function is determined as [tex]y=\frac{2}{3} x+\frac{2}{3}=\frac{2}{3}(x+1)[/tex].

Bring each of the coordinates in to see if it fits in:

A. (-6, -5)  [tex]\frac{2}{3}(-6+1)=\frac{2}{3}(-5)=-3.33\neq -5[/tex]

B. (3, 2) [tex]\frac{2}{3}(3+1)=\frac{2}{3}(4)=2.67\neq 2[/tex]

C. (4, 5) [tex]\frac{2}{3}(4+1)=\frac{2}{3}(5)=3.33\neq 5[/tex]

D. (5, 4) [tex]\frac{2}{3}(5+1)=\frac{2}{3}(6)=4[/tex]

Answer:

D(5,4)

Step-by-step explanation:

Took Quiz

Answer:

x = -8 and y = 6

Step-by-step explanation:

3x - 4y = -24

Solve for y - intercept

3x - 4y = -24

To find y intercept , substitute x = 0

3 × 0 - 4y = -24

Any expression multiplied by 0 equals 0.

0 - 4y = -24

-4y = -24

Divide both sides by -4

-4y / -4 = -24/-4

y = 6

Similarly, Solve for x-intercept

3x - 4y = -24

To find x- intercept , susbtitute y = 0

3x - 4 × 0 = -24

Any expression multiplied by 0 equals 0.

3x - 0 = -24

3x = -24

Divide both sides by 3

3x / 3 = -24 / 3

x = -8

Therefore, y = 6 and x = -8

Answer:

11x + 8 = 12x - 4

x=12

∠ 4 = 180-140 = 40°

Step-by-step explanation:

Answer:3136

Step-by-s

tep explanation:

Answer:

4506

Step-by-step explanation:

you have do like this 56+57+58+59+60+.....+108 look you will 4506 as answer

The solution and answer are well written in the Pic above.

Answer:

y = (4x - 71)/8

Step-by-step explanation:

2(x - 2)2 = 8(7 + y) solve for y instead of x for the inverse equation

4x - 8 = 63 + 8y

4x - 8 - 63 = 8y

4x - 71 = 8y

y = (4x - 71)/8

Answer:

A

Step-by-step explanation:

Answer:

5 2/15

Step-by-step explanation:

Answer:

5 [tex]\frac{2}{15}[/tex]

Step-by-step explanation:

A mixed number consists of a whole number and a proper fraction (meaning the numerator is less than the denominator).

To get a mixed number, we are going to divide 77/15 using long division:

(I attached an image down below for you to understand better)

15 goes into 77 only 5 times with a remainder of 2.

So our whole number is 5

And the remainder of 2 become of the numerator of our proper fraction, with 15 being our denominator.

So your answer is 5 [tex]\frac{2}{15}[/tex]

Hope it helps (●'◡'●)

Complete question is;

Which of these is an exponential parent function?

A. f(x) = x

B. f(x) = 2^(x)

C. f(x) = x²

D. f(x) = |x|

Answer:

B. f(x) = 2^(x)

Step-by-step explanation:

> In option A, f(x) = x

This function depicts a straight line with intercept as 0 and slope as 1.

> In option C, f(x) = x²

This function depicts a parabola open up since the leading coefficient is greater than 0.

> In option D: f(x) = |x|

This function depicts a straight line y = x for x > 0 and y = -x for x < 0

In option B f(x) = 2^(x)

This function depicts an exponential function because the x is in the exponent form with a base of 2.

Jerry has been stressing a lot for getting into his favorite college. The symptom by which he is reacting to stress is 'upset stomach'.

Stress can lead to a lot of emotional and physical negative responses in the body. This includes difficulty breathing, panic attacks, blurred eyesight or sore eyes, sleep problems, fatigue, muscle aches and headaches, chest pains and high blood pressure, Indigestion or heartburn, constipation, feeling sick, dizzy or fainting.

When Jerry stayed up late at night to get in some extra study time, had a mental burden of passing an entrance exam, a lot of stress was built. He reacted to it with an upset stomach just like others.

Learn more about reacting to stress here

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Answer:

Below

Step-by-step explanation:

1. Potentially, yes. The display of the smaller bombs in the "magnifying glass" display can be very misleading.

2. Yes - the vertical axis labels the tonnage of the nuclear blast while displaying the height of each mushroom cloud.

3. Maybe? While the first number displayed in the vertical axis is 5 (Mt), it is most likely that the 0 is unlabeled rather than non-existent.

4. Yes - images of the mushroom cloud produced by each bomb.

5. Absolutely - the larger display of the smaller bombs can create major conflict in understanding the size of each.

Answer:

B

Step-by-step explanation:

Fip numbers and change both signs when reflecting over y=-x

Answer:

C

Step-by-step explanation:

Answer:

Step-by-step explanation:

i think A

Hope this helps!