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Answer:

A. x = 11√3

B. y = 11

Step-by-step explanation:

A. Determination of the value of x.

Angle θ = 60°

Hypothenus = 22

Opposite = x =?

We can obtain the value of x by using sine ratio as illustrated below:

Sine θ = Opposite / Hypothenus

Sine 60 = x / 22

√3/2 = x / 22

Cross multiply

2 * x = 22√3

Divide both side by 2

x = (22√3) / 2

x = 11√3

B. Determination of the value of y.

Angle θ = 60°

Hypothenus = 22

Adjacent = y =?

We can obtain the value of y by using cosine ratio as illustrated below:

Cos θ = Adjacent / Hypothenus

Cos 60 = y / 22

½ = y / 22

Cross multiply

y = ½ × 22

y = 11

Answer:

10. D. 1 / 216

11. B. - ( 8^0 )

Step-by-step explanation:

10.

6^5 x 6^-8

= 6^( 5 - 8 )

= 6^-3

= 1 / 6^3

= 1 / 216

11.

- ( 8^0 )

= - 1

- 1 < 0

Answer:

Give some examples of source documents.

➢  Define an account. What are the two  forms of account posting illustrated in the chapter?➢  What is meant by the term double-entry procedure, or duality?

➢  Describe how you would determine the balance of a T-account.

➢  Define debit and credit.

➢  Do you think this double entry accounting system makes sense? Can you conceive of other possible methods for recording changes in accounts?

➢  Which of the steps in the accounting cycle are performed throughout the accounting period?

➢  What is the purpose of the Dividends account and how is it increased?

Answer:

if sin x = 5/13 and x is in quadrant 1,than tan x/2= -5

Answer:

B

Step-by-step explanation:

The terminal point for 4π/3 in the form of a cartesian coordinate will be (-1/2, -√3/2). Then the correct option is B.

The polar coordinate system in geometry is a two-dimensional latitude and longitude that uses the distance from a reference point and the angle from an optical axis are used to identify each point's location on a plane. This polar axis is the ray emanating from the pole in the direction of the point of comparison, which is referred to as the pole.

The cartesian coordinate is (x, y) and polar coordinate is (r, θ). Then the relation is given as,

x = r cos θ

y = r sin θ

The angle is 4π/3. Then the cartesian coordinate for a unit radius will be given as,

x = 1 × cos (4π/3)

x = - 1/2

y = 1 × sin (4π/3)

y = - √3 / 2

The terminal point for 4π/3 in the form of a cartesian coordinate will be (-1/2, -√3/2). Then the correct option is B.

More about the polar coordinate to a cartesian coordinate link is given below.

https://brainly.com/question/13333610

#SPJ2

Answer:

3 - 2i

Step-by-step explanation:

sqrt(36) - sqrt(-1) - sqrt(9) - sqrt(-1)

we know sqrt(-1) = i

6 - i - 3 - i

3 - 2i

Answer:

14

Step-by-step explanation:

[(1+5)⋅2−5]⋅2

[(6)⋅2−5]⋅2

[12−5]⋅2

[7]⋅2

14

Step-by-step explanation:

[6.2-5].2

[12-5].2

7.2

14 answer

Answer:

4

Step-by-step explanation:

Given

[tex]\frac{2ab}{c}[/tex] , substitute the given values into the expression

= [tex]\frac{2(-1)(-4)}{2}[/tex]

= [tex]\frac{2(4)}{2}[/tex]

= [tex]\frac{8}{2}[/tex]

= 4

Answer:

7!

Hope it is helpful

Answer:

46 degree

I hope this will help you

Answer:

A. The proportion of numbers in the population is equal to the mean of the sample proportions

Step-by-step explanation:

The relationship between the  mean [tex]\mu _{\overline p}[/tex], and standard deviation, [tex]\sigma _{\overline p}[/tex], of the sample proportion and the population proportion, p, are given as follows;

[tex]\mu _{\overline p}[/tex] = p

[tex]\sigma _{\overline p} = \sqrt{\dfrac{p \cdot (1 - p)}{n} } \times \sqrt{\dfrac{N - n}{N - 1} }[/tex]

Where;

N = The size of the population

n = The sample size

Therefore, the proportion of numbers in the population is equal to the mean of the sample proportions

Answer:

What is the index of the radical below? 4 radical 8

Answer:

8

Step-by-step explanation:

index is the root

square root would have an index of 2

Answer:

Estimation by inspection is better than trying to determine the line of best fit exactly

i) For a scatter plot : The use of estimation by inspection

ii) For a straight line graph : The exact determination method

Step-by-step explanation:

To create lines of best fit the estimation by inspection is better than trying to determine the line of best fit exactly .

This is because line of best fit only shows the trend of the data and in most cases it doesn't have to start from origin.

Scenarios :

i) For a scatter plot : The use of estimation by inspection

ii) For a straight line graph : The exact determination method

C. complementary angles

Step-by-step explanation:

two angles are called complementary when their measures add to 90 degrees

Answer:

n = 70

Step-by-step explanation:

14 * x < 80

x = 6 won't work

14 * 6 = 84 which beyond the boundry.

14 * 5 = 70 which is less than 80 and is divisible by 14

14 * 3 = 42

70 does not have a 3 in it.

So the largest number that has 14 in it and is less than 80 is 70

Step-by-step explanation:

75 is divisible by both 15 and 25

Answer:

-x^2 +4

Step-by-step explanation:

f(x) = -x^2 – 1, and

g(x) = x + 5,

g(f(x)) = Plug f(x) in for x in g(x)

          =-x^2-1 +5

          =-x^2 +4

Answer:

x^²-x+6

Step-by-step explanation:

Just add

Answer:

7/10

Step-by-step explanation:

½ of a cup of cheddar=½ x 1=½

⅕ of a cup of parmesan=⅕ x 1=⅕

all cheese used=½ + ⅕= 7/10

Answer:

AD=27

Step-by-step explanation:

Answer:

18 m^2

Step-by-step explanation:

The area of a trapezoid is given by

A = 1/2 (b1+b2)h  where b1 and b2 are the lengths of the bases and h is the height

A = 1/2 ( 5 + (6+1)) * 3

A = 1/2 ( 5+7)*3

    = 1/2 (12)3

     = 18

Answer:

B

Step-by-step explanation:

greater base = 6 + 1 = 7 m

Area = [(greater base + minor base) * height] / 2 = [(7+5) * 3]/2 =18 m^2

Answer:

Following are solutions to the given question:

Step-by-step explanation:

First-test probability: [tex]\frac{3}{4}[/tex]

A person's chances of passing a second test are reduced if he fails the first test: [tex]\frac{1}{3}[/tex]

However, the chance of failing the first test is 1 in 4. As just a result, the probability of these events is low.

[tex]\to \frac{1}{4}\times \frac{1}{3}=\frac{1}{12}\\\\\to \frac{3}{4} + \frac{1}{12} = \frac{9+1}{12} = \frac{10}{12} = \frac{5}{6}[/tex]

One of the other.

Answer:

Independence and Exclusiveness are two topics which are important to probability and often confused. Discuss the difference between two events being independent and two events being mutually exclusive. Use examples to demonstrate the difference. Remember to explain as if you are talking to someone who knows nothing about the topic.

[my response: talk to them in formal language about the topic.]

Step-by-step explanation:

Answer:

its easy dont worry

Step-by-step explanation:

Answer:

[tex]{ \tt{volume = \frac{4}{3} \pi {r}^{3} }} \\ 36\pi = \frac{4}{3} \pi \times {(2d)}^{3} \\ \frac{36 \times 3}{4} = 8 {d}^{3} \\ 27 = 8 {d}^{3} \\ {d}^{3} = \frac{27}{8} \\ diameter = 1.5 \: units[/tex]

Answer:

See explanation

Step-by-step explanation:

The coordinate of ABCD is not given; So, I will solve using general coordinates (x,y).

First, ABCD is dilated by 1/3.

The rule is:

[tex](x,y) \to \frac{1}{3}(x,y)[/tex]

This gives

[tex](x,y) \to (\frac{x}{3},\frac{y}{3})[/tex]

Next, it is reflected across y-axis.

The rule is:

[tex](x,y) \to (-x,y)[/tex]

So, we have:

[tex](\frac{x}{3},\frac{y}{3}) \to (-\frac{x}{3},\frac{y}{3})[/tex]

So, the complete transformation is:

[tex](x,y) \to (\frac{x}{3},\frac{y}{3}) \to (-\frac{x}{3},\frac{y}{3})[/tex]

Assume that:

[tex]A = (1,3)[/tex]

The transformation will be:

[tex]A' = (-\frac{1}{3},\frac{3}{3})[/tex]

[tex]A' = (-\frac{1}{3},1)[/tex]

Answer:

Option 1: Double the radius

Step-by-step explanation:

The formula for the volume of a cone is:

1/3[tex]\pi[/tex]r^2h

It squares the radius whereas it only multiplies by the height. Let's try both situations.

1. 1/3[tex]\pi[/tex](2)^2(1) --> 4/3

2. 1/3[tex]\pi[/tex](1)^2(2) --> 2/3

Option one is better.