Identify which trigonometric ratio (sin, cos or tan) you would use to solve the triangle. You do not need to solve them.

The distance from where it is tied to the base of the pole is 7.25ft

Then given resulting figure that translated the statement is a right triangle with the following

Hypotenuse = 28 feet

Angles made with the base = 15 degrees

The distance from where it is tied to the base of the pole (height of the triangle) is required

Using the trigonometry identity

sin theta = opposite/hypotenuse

sin 15 = h/28

h = 28sin15

h = 7.25ft

Hence the distance from where it is tied to the base of the pole is 7.25ft

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Answer:

lee know

Step-by-step explanation:

The circle intersect the x-axis at (-17,0) and (17,0); and the circle intersect the y-axis at (-17,0) and (17,0).

A circle is a curve sketched out by a point moving in a plane so that its distance from a given point is constant; alternatively, it is the shape formed by all points in a plane that are at a set distance from a given point, the centre.

As it is stated that the point (8,15) lies on the circle, while the center of the circle is at (0,0). Therefore, the line connecting the point and the center of the circle will be the radius of the circle. The length of the radius of the circle will be equal to,

\(\text{Length of the radius}=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}\\\\\text{Length of the radius}=\sqrt{(8-0)^2+(15-0)^2} = \sqrt{64+225} = 17\)

Now, as we know that the circle is centerd at the origin therefore, it will intersect its axis at a length that is equal to its radius as shown below. Therefore, the circle intersect the x-axis at (-17,0) and (17,0); and the circle intersect the y-axis at (-17,0) and (17,0).

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Answer:

Domain:\(0 \le t \le 9\)

Range: \(7200 \ge \ d \ge \ 0\)

Step-by-step explanation:

Given

\(d = 7200 - 800t\)

Required

Determine the domain and range

From the attached graph, the values of t (on the horizontal axis) starts from 0 and ends at 9.

Hence, the domain is: \(0 \le t \le 9\)

When t = 0:

\(d = 7200 - 800t = 7200 - 800 * 0 = 7200\)

When t = 9

\(d = 7200 - 800t = 7200 - 800 * 9 = 0\)

Hence, the range is:

\(7200 \ge \ d \ge \ 0\)

Answer:

7 workers are required, so we need 7-3 or 4 more workers.  

Step-by-step explanation:

The graph of the feasible region is attached

From the question, we have the following parameters that can be used in our computation:

\(\left\{ \begin{array}{lr} y + 7x \ge 10 \\ 8y + 2x \ge 20 \\ y + x \ge 4 \\ y + x\le 10 \\ x \ge 0 \\ y \ge 0\end{array}\)

To plot the graph of the feasible region, we plot each inequality in the domain x ≥ 0 and y ≥ 0

Using the above as a guide, the graph is attached

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Answer:

slope  -3

y-intercept  19

Step-by-step explanation:

Answer:

a. 17.80 b. 71.20

Step-by-step explanation:

I used to hate percents. Let me teach you a trick:

take the og value (89) and multiply it by the percentage (20% or 0.2). Then once you have that answer (17.80), subtract it from the og value (89-17.80). That's your answer for how much you still owe! (71.20)

any other follow up questions? Just ask :)

Answer:

Step-by-step explanation:

Volume = Bh

Turn the shape so the trapezoid is on the bottom/base

h=18   for overall shape

B = area of base, trapezoid

B = 1/2 (b₁ + b₂) h  

b₁ = 11

b₂ = 25

h = 24   for trapezoid

B = 1/2 (11 + 25)(24)

B = 432

V = Bh

V = (432)(18)

V= 7776 in³

The distance of the fish from the hook is: 21 ft

Two triangles are similar if their corresponding side proportions are the same and their corresponding pairs of angles are the same. When two or more figures have the same shape but different sizes, such objects are called similar figures.  

Thus, using the concept of similar triangles, we can say that:

Let x be the horizontal base length from the fish to the hook and as such, we can say that:

3/5 = 12.6/x

x = (12.6 * 5)/3

x = 21 ft

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Answer:

1944

Step-by-step explanation:

3*12=36*3=918*18=1944

Answer:

1. A

2. C

Step-by-step explanation:

Answer:

28.7

Step-by-step explanation:

12.7% = 0.127

226 * 0.127 = 28.702

Rounded

28.7

Answer:

the value is k=

Step-by-step explanation:

Answer:

8

Step-by-step explanation:

24/k = 24/3 = 8

The line slants downward from left to right, indicating that as x increases, y decreases.

The given linear equation is -x = 2y + 1. To represent this equation graphically, we need to rearrange it into the slope-intercept form, which is y = mx + b, where m represents the slope and b represents the y-intercept.Rearranging the given equation, we get:2y = -x - 1

Dividing both sides by 2:y = (-1/2)x - 1/2

The slope of the line is -1/2, which means that for every unit increase in x, y decreases by 1/2 unit. The y-intercept is -1/2, indicating that the line intersects the y-axis at (0, -1/2).

Based on this information, the best graph that represents the linear equation y = (-1/2)x - 1/2 is a straight line with a negative slope of -1/2, starting at the point (0, -1/2) and extending infinitely in both directions.

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Based on the definition of complementary angles, the degree measure of the other angle is: d. 53.53°.

Complementary angles are defined as two angles that have a sum of 90 degrees when we add both angles together. In other words, if the sum of two angles is equal to 90 degrees, then they are complementary to each other.

Applying the definition of complementary angles, let's assume the two angles that are complementary to each other are x and y. If x is unknown and y is 36.47°, therefore:

x + 36.47° = 90°

Subtract 36.47° from both sides:

x + 36.47° - 36.47° = 90° - 36.47° [subtraction property of equality]

x = 53.53°

Thus, the other angle has a degree measure of: d. 53.53°.

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The answer would be 30 because the triangle is 10, the circle is 5, and each black triangle is 2 which would be 10 plus 5 which is 15 then times 2 which is 30.

Answer:

20?

Step-by-step explanation:

If 3 triangles = 30 they we could assume that each triangle = 10

10 + 10 + 10 = 30

If one triangle = 10 then the 2 circles would = 5 in the 2nd equation

10 + 5 + 5 = 20

If 1 circle = 5 then the 1 full squares would = 4

5 + 4 + 4 = 13

1 triangle = 10 , 1 circle = 5, Half a square = 2

10 + 5 * 2 = ?

Using PEMDAS we would multiply 2 and 5 first to get 10

10 + 10 = 20

Answer:

The equation of this line is y = -4.

Answer:

y=-4

Step-by-step explanation:

zero slope m=0

y-y1=m(x-x1)

y-(-4)=0(x-(-9))

y+4=0

y=-4

The t-distribution is used when the standard deviation for the population is not known, and the bounds of the confidence interval are given according to the equation presented as follows:

\(\overline{x} \pm t\frac{s}{\sqrt{n}}\)

The variables of the equation are listed as follows:

The critical value, using a t-distribution calculator, for a two-tailed 90% confidence interval, with 11 - 1 = 10 df, is t* = 1.796.

The parameters are given as follows:

\(\overline{x} = 8, s = 4, n = 11\)

Hence the margin of error is given as follows:

\(M = 1.796 \times \frac{4}{\sqrt{11}} = 2.166\)

Then the bounds of the interval are given as follows:

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Answer:

Correct answer for k12 kids

Using technology such as excel, the linear regression equation which best models the data is y = 0.31x + 0.12

To model the data, we could use a linear regression calculator or excel which gives the slope intercept equation of the model in the form :

Where ;

Therefore, the linear regression function which nest models the data in the table is y = 0.31x + 0.12

The car is about a year old if it depreciates exponentially at a rate of 9% per year

In order to know how old the car is, we will use the depreciation formula expressed below:

\(P_t=P_0e^{rt\)

Pt is the final price = 16000

P0  is the initial price = 28000

Given the rate of 0.09

Substitute the given parameters into the formula to get the time "t"

\(16000=28000e^{-0.09t}\\\frac{16000}{28000}=e^{-0.09t}\\ 0.5714=0.9139t\\t =\frac{0.5714}{0.9139} \\t=0.62\)

This shows that the car is about a year old if it depreciates exponentially at a rate of 9% per year

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Answer:

x^2-6x+8

Step-by-step explanation:

Put it in intercept form and distribute

Answer:

3400

Step-by-step explanation:

Multiply 52 times 200 and then subtract 200×35

Answer:

Your total gain would be $3400

Step-by-step explanation:

$35*200=7000

52*200=10400

10400-7000=3400

Answer: 56/72 = 0.777777777778 -> repeating decimal

21/22 =0.954545454545 -> repeating decimal

11/121 = 0.0909090909091 -> repeating decimal

60/120 = 0.5 -> terminating decimal

Step-by-step explanation:

Answer:

45

Step-by-step explanation:it gives you the answer chiices if you plug each number into x and then do the equation you will get 180

Answer:  45

Step-by-step explanation:

Did the test.

Answer:

the fraction in simplest form is \(\frac{1}{5}\)

Step-by-step explanation:

Hope this helps!

Answer:

you may not find this helpful,

Step-by-step explanation:

0.125 is the answer

Every element in S has a two-sided inverse in S.

Since S has a two-sided identity element and every element in S has a two-sided inverse, S is a group.

There exists a two-sided identity element in S.

Every element in S has a two-sided inverse.

We are given that S is a semigroup with a left identity element e, and every element of S has a left inverse.

First, we will show that e is also a right identity element. Let x be any element in S. Then there exists y such that\(y * x = e\) (since every element in S has a left inverse). Multiplying both sides by x on the right, we get:

\(y * x * x = e * x\)

\(y * e = x\)

Thus, we have shown that for any x in S, there exists an element y such that y * e = x. This means that e is a right identity element in S.

Next, we will show that every element in S has a two-sided inverse. Let x be any element in S, and let y be the left inverse of x (i.e.,\(y * x = e\)). Then, we have:

\((x * y) * x = x * (y * x) = x * e = x\)

and

\(x * (x * y) = (x * x) * y = x * e = x\)

Thus, xy is a left inverse of x, and xx is a right inverse of x. Since S is a semigroup, we know that xy and xx are both well-defined elements in S. Therefore, every element in S has a two-sided inverse in S.

Since S has a two-sided identity element and every element in S has a two-sided inverse, S is a group.

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The equation for the line that passes through point (-5,28) and (2,0) is

y = -4x + 8

where

m = slope

b = y-intercept

Therefore,

m = \(\frac{0 - 28}{2 - (-5)}\)

m = \(\frac{-28}{7}\)

m = -4

Let's find b using (2, 0)

y = -4x + b

0 = -4(2) + b

b = 8

Therefore,

y = -4x + 8

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The required steps to show that circle A is similar to circle B are,
1. Dilate circle A by a scale factor of 0.5.
2. Translate circle A using the rule (x − 5, y − 5).

The circle is the locus of a point whose distance from a fixed point is constant i.e center (h, k). The equation of the circle is given by

(x - h)² + (y - k)² = r²

where h, k is the coordinate of the center of the circle on the coordinate plane and r is the radius of the circle.

Here,
Circle A = Center of −2, −2 and a radius of 4,
Circle B = Center of 3, 3, and a radius of 2.

Steps to show circle A is similar to circle B
1. Dilate circle A by a scale factor of 0.5

2. Translate circle A using the rule (x − 5, y − 5)

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Answer: 10 (D)

Step-by-step explanation: 90,000 x 10 = 900,000

Answer:

10

Step-by-step explanation: