Trig 2.11 graphs of tangent and cotangent

Here, as the tangents are given above in variable length with radius of the circle as r = 4.4 cm, we get as

since the sides opposite to the equal angles are always equal we get as,

x-2 = 2x-10

===> -2 +10 = 2x-x

==> 8 = x

hence the measurement of the Tangents is,

putting x = 8

2(8)-10 ==> 16-10 ==> 6 cm

length of each tangent is 6 cm.

Answer:

8

Step-by-step explanation:

2x - 10 = x - 2

2x - x = - 2 + 10

x = 8

[tex](1 + \sqrt{2^{4} }) = 5[/tex]

[tex](1 - \sqrt{2^{4} } ) = - 3[/tex]5--3=8

Answer:

4 pints

Step-by-step explanation:

Well to figure this one out we need the surface area of the cylinder

The formula is :  SA=2πrh+2πr^2

Don't worry about memorizing most of these formula's except the basic ones  for Surface area and Volume in a test the formula's will be given but I do recommend practicing them

Any way lets keep going

Depth of 5ft basically means 5ft in height (to let you know)

2*pi*3*5+2*pi*3^2

SA=150.796447372 ft^2  rounded is basically 151

any way we know one pint paints 50 ft^2

so  151/50 is 3 remainder 1 so you will need 4 pints except you will barley use 1 pint

Step-by-step explanation:

x+6+90+3x-4=180 - - > x=22

So, the angle is 22+6=28°

Answer:

240 g chocolate

18 eggs

70 mL lemon juice

80 g sugar

Step-by-step explanation:

600 g choc - (2 x 180) = 240 g left

36 eggs - (2 x 9) = 18 left

100 mL lemon - (2 x 15) = 70 mL left

200 g sugar - (2 x 60) = 80 g left

Answer:

Ingredients will have left

Chocolate

Eggs

Lemon juice

Sugar

Answer:

Step-by-step explanation:

at x = -7, the polynomail function f(x) has a zero (x-intercept)

Answer:

1) 152

Step-by-step explanation:

(Length)l = 10cm

(width) w = 4cm

(height) h = 8 cm

SA= lw+wh+lh

= 10×4+4×8+10×8

=40+32+80

=152

Answer:

91.5

Step-by-step explanation:

I did the math. Add up all the numbers and then, divide the result by two to get 91.5

Answer:

$38 880

Step-by-step explanation:

So for 7 days it costs $90 720

First we need to find what 1 day cost

So you will divide $90 720 by 7

90 720÷7= $12 960

To find the cost for 3 days your gonna multiply $12 960 by 3

12 960×3= $38 880

Answer:

512

16 · 4 = 64

64 · 8 = 512

Answer: 36%

Step-by-step explanation: A simple way to figure out is to do 32/50 times 2. This makes it 64/100. 100 minus 64 is 36 which is the percent on how much free throws she mised

Answer:

y-intercept: (0, 0.4)

x-intercept: (0.3, 0)

Step-by-step explanation:

The x coordinate always comes before the y coordinate

Given:

The radius of the circle = 12 in.

The central angle of the intercepted arc PQ = 135 degrees.

To find:

The measure of arc PQ.

Solution:

The length of arc is:

[tex]s=2\pi r\times \dfrac{\theta}{360^\circ}[/tex]

Where, r is the radius and [tex]\theta [/tex] is the central angle.

Substituting [tex]r=12,\pi=3.14,\theta=135^\circ[/tex] in the above formula, we get

[tex]s=2(3.14)(12)\times \dfrac{135^\circ}{360^\circ}[/tex]

[tex]s=75.36\times 0.375[/tex]

[tex]s=28.26[/tex]

[tex]s\approx 28.3[/tex]

The measure of arc PQ is 28.3 in. Therefore, the correct option is (d).

Answer:

The standard deviation of the distribution of TSH levels of healthy individuals is of 1.2658 units/mL.

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean [tex]\mu[/tex] and standard deviation [tex]\sigma[/tex], the z-score of a measure X is given by:

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the p-value, we get the probability that the value of the measure is greater than X.

Mean of 3.3 units/mL

This means that [tex]\mu = 3.3[/tex]

Suppose also that exactly 98% of healthy individuals have TSH levels below 5.9 units/mL.

This means that when [tex]X = 5.9[/tex], Z has a pvalue of 0.98. So Z when X = 5.9, has a pvalue if 0.98, that is, Z = 2.054. We use this to find [tex]\sigma[/tex]

[tex]Z = \frac{X - \mu}{\sigma}[/tex]

[tex]2.054 = \frac{5.9 - 3.3}{\sigma}[/tex]

[tex]2.054\sigma = 2.6[/tex]

[tex]\sigma = \frac{2.6}{2.054}[/tex]

[tex]\sigma = 1.2658[/tex]

The standard deviation of the distribution of TSH levels of healthy individuals is of 1.2658 units/mL.

Answer:

I don't think I'm allowed to say that word. But it is also a discriminatory phrase used by people in the slave days.

But it's a song by Kayne

________ in Paris

Step-by-step explanation:

Answer:

guys were in Paris

Step-by-step explanation:

Answer:

it is the one above the last one

Step-by-step explanation:

i hope it helps

Answer:

x-5

Step-by-step explanation:

when x=(a number) then you -5 you find 5 less then a number therefore x-5 is the anwser

Answer:

n is approximately 29 customers

Step-by-step explanation:

The given parameters are;

The mean duration of an order, μ = 4.5 minutes

The standard deviation, σ = 4

2 hours = 120 minutes

We get;

The z-score when the probability, P = 0.1 is P(z < 0.53983)

We have;

[tex]z = \dfrac{\dfrac{ \sum X_i}{n} - \mu_{\overline x}}{\dfrac{\sigma}{\sqrt{n} } }[/tex]

Therefore, we get;

[tex]z = \dfrac{\dfrac{120}{n} - 4.5}{\dfrac{4}{\sqrt{n} } } = 0.53983[/tex]

[tex]\dfrac{4}{\sqrt{n} } \times 0.53983 = \dfrac{120}{{n} } -4.5[/tex]

With the aid of a graphing calculator, we get;

81·n²-4320·n + 57600 - 18.6506514278·n = 0

Factorizing gives;

(n - 24.3011921023)·(n - 29.2623961869)·81124141329 = 0

Therefore;

n ≈ 24 or n ≈ 29

Therefore, we take the largest number, n ≈ 29, to make the sample approximately normal

Answer:

-80

Step-by-step explanation:

To find x, set the equation equal to zero

4x-20=0

the next step is to isolate the variable, you can do this by adding 20 to both sides, remember when you change one side of the equal sign you must do the same to both

4x=20

now you can divide by 4 to get x by itself, again divide both sides of the equation

4x/4=20/4

x=5

After doing the division we see that x is equal to 5, and you can always check to see if your answer is correct by plugging it back into the equation:

4(5)-20=0

20-20=0

Hope this helps :)

Answer:

x = 28 y = 122

Step-by-step explanation:

Transversal Lines would be 112 and 4x

112 / 4 = 28

x = 28

y and 122 are alternate interior angles

so y = 122

hope this helps ^^

Answer: V= 65.3 ft^3

the length of the frame is 21 inches.

The answer is going to be B

10% of $200,000 = $20,000

according to me it's both a and b cause the product is not changing even after we are changing the order of the numbers

Answer:

Step-by-step explanation:

¡Hola! Lo siento, pero no hablo español. ¡qué tengas un lindo día! También necesito puntos porque soy nuevo.

5 Students = 3 Teams

7 Students = 2 Teams

To find out the answer we can use the following equation

[tex]\frac{Total}{Students} \\\\\frac{15}{5} = 3 \\\frac{15}{7} = 2.14... \\[/tex]

If you run into a decimal number, like we did when we had a team of 7, you can just round down!

Answer:

3

Step-by-step explanation:

least students= 5

maximum students = 7

total number of students = 15

no: of grps if 5 students per grp = 15/5 = 3

no: of grps if 7 students per grp = 15/7 = 2.14 ~ 2

However, if they ask us how many teams in final we can say 3 as it is the maximum number of groups that can be formed b a grp of 15 students ... if we make 7 students per grp... one would be left out .

Answer:

Step-by-step explanation:

Answer:

Obtuse

Step-by-step explanation:

Obtuse is larger then 90°

Right angle is exactly 90°

Acute angle is smaller then 90°

Answer: 6

Explanation: 8 + 4 divided by 2 = 6

I know this is definitely the correct answer but I forgot which theorem it is. If you need any further explanation I will gladly try and find some more.