Choose the equation for the graph.

Perpendicular we need(Let it be P

So

[tex]\\ \rm\Rrightarrow tan\theta=\dfrac{Perpendicular}{Base}[/tex]

[tex]\\ \rm\Rrightarrow tan25=\dfrac{P}{50}[/tex]

[tex]\\ \rm\Rrightarrow P=50tan25[/tex]

[tex]\\ \rm\Rrightarrow P=23.31ft[/tex]

Using the z-distribution, as we have the standard deviation for the population, the margin of error is given by:

b. 0.39.

The confidence interval is:

[tex]\overline{x} \pm z\frac{\sigma}{\sqrt{n}}[/tex]

In which:

The margin of error is given by:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In this problem, we have a 95% confidence level, hence[tex]\alpha = 0.95[/tex], z is the value of Z that has a p-value of [tex]\frac{1+0.95}{2} = 0.975[/tex], so the critical value is z = 1.96.

As for the other parameters, we have that [tex]\sigma = 1.8, n = 81[/tex].

Hence, the margin of error is given by:

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

[tex]M = 1.96\frac{1.8}{\sqrt{81}}[/tex]

[tex]M = 0.39[/tex]

Hence option b is correct.

More can be learned about the z-distribution at https://brainly.com/question/25890103

Answer:

72

Step-by-step explanation:

Triangle area formula: A = 1/2 (B) (H)

This means the area of a triangle is half of the base times the height.

So we can plug the numbers into the formula:

A = 1/2 (16) (9)

16 x 9 is 144, divided by 1/2 is 72.

Final answer 72.

[tex](\sqrt{2}{, 45^{\circ})[/tex]

============================================================

Explanation:

The original point is in cartesian form (x,y). We have x = 1 and y = 1 pair up together.

The radius is [tex]r = \sqrt{x^2+y^2} = \sqrt{1^2+1^2} = \sqrt{2}[/tex]

The angle theta is [tex]\theta = \tan^{-1}(y/x) = \tan^{-1}(1/1) = 45^{\circ}[/tex]

Therefore, the polar form is [tex](r, \theta) = (\sqrt{2}, 45^{\circ})[/tex]

The idea is to start at the origin while facing directly east at the angle 0 degrees. Then turn 45 degrees to the north (going counterclockwise) and then move [tex]\sqrt{2}[/tex] units away from the origin. Doing these steps will take you to the point (x,y) = (1,1)

205 ft as lenght

Step-by-step explanation:

First i multiplyed 60x7 nd got 420. Then i subtracted 10 from 420 and got 410. Next i divided 410 by 2 and got 205 ft.

Answer:

[tex]4\sqrt{2b}[/tex]

Step-by-step explanation:

[tex]\sqrt{98b}-\sqrt{72b}+\sqrt{18b}[/tex]

Apply radical rule [tex]\sqrt{ab} =\sqrt{a} \sqrt{b}[/tex]:

[tex]\implies \sqrt{98}\sqrt{b} -\sqrt{72}\sqrt{b} +\sqrt{18}\sqrt{b}[/tex]

Factor out common term [tex]\sqrt{b}[/tex]:

[tex]\implies \sqrt{b}(\sqrt{98} -\sqrt{72}+\sqrt{18})[/tex]

Rewrite 98, 72 and 18:

[tex]\implies \sqrt{b}(\sqrt{49 \cdot 2} -\sqrt{36 \cdot 2}+\sqrt{9 \cdot 2})[/tex]

[tex]\implies \sqrt{b}(\sqrt{49}\sqrt{2} -\sqrt{36}\sqrt{2}+\sqrt{9}\sqrt{2})[/tex]

[tex]\implies \sqrt{b}(7\sqrt{2} -6\sqrt{2}+3\sqrt{2})[/tex]

Factor out common term [tex]\sqrt{2}[/tex]:

[tex]\implies \sqrt{b}\sqrt{2}(7 -6+3)[/tex]

[tex]\implies \sqrt{b}\sqrt{2}(4)[/tex]

[tex]\implies 4\sqrt{2b}[/tex]

Step-by-step explanation:

hope you understand. :)

The points A,B,C,D make up the circumference of the circle

The measure of angle BAD is 65 degrees

The measure of angle ODB is given as:

ODB = 25 degrees

Considering the triangle BOD, we have:

ODB + BOD + DBO = 180

Where:

ODB = DBO = 25

So, we have:

25 + BOD + 25 = 180

Solve for BOD

BOD = 130 degrees

The angle at an arc is twice the angle at the circumference.

So, we have:

BOD = 2 * BAD

Substitute 130 for BOD

130 = 2 * BAD

Divide both sides by 2

65 = BAD

Hence, the measure of angle BAD is 65 degrees

Read more about angle measures at:

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Answer:

Below in bold.

Step-by-step explanation:

z = 87 degrees ( vertical angles)

9x - 87 = 180 - z   ( adjacent angles are supplementary)

9x - 87 = 180 - 87  

9x = 180

x = 20 degrees.

Answer:

Step-by-step explanation:

The degree of a polynomial is the variable (in this case 1 variable) raised to the highest power.

Look at the first term: 19x^9

The variable is x

The highest power is 9

So the answer is 9.

Answer: B D F

Step-by-step explanation:

The statement (B), statement (D), statement (F) are true if piecewise defined function f(x) that increases over the intervals (-∞, 3) and (3,∞).

A piecewise function is one that has several curve parts in its graph.

It means that, based on the value of the input, it has countless definitions.

A piecewise function, in other words, performs differently depending on the input.

We have given a data for a piecewise function.

From the data:

[tex]\rm \lim_{n \to 3^+} f(x) = 5[/tex]

[tex]\rm \lim_{n \to 3^-} f(x) = 6[/tex]

[tex]\rm \lim_{n \to 2^+} f(x)[/tex] Does not exist because [tex]\rm \lim_{n \to 3^+} f(x)[/tex] and [tex]\rm \lim_{n \to 3^-} f(x)[/tex] are not equal.

Thus, the statement (B), statement (D), statement (F) are true if piecewise defined function f(x) that increases over the intervals (-∞, 3) and (3,∞).

Learn more about the piecewise function here:

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Answer:

volume is 360 i hope i uelped u

Answer:

Step-by-step explanation:

a²+b² = c² c is always the longest line thats opposite to the 90 degree angle

for 1

15² + b² = 17²

b² = 17² - 15²

b = √(17² - 15²)

b= 8

Answer:

See below ↓↓

Step-by-step explanation:

About how many blocks tall is your model of the Empire State Building?

What is the scale factor?

Answer:

$0.80

Step-by-step explanation:

$23.60 divided by 29.5cm = $0.80 per cm.

Answer:

y = -7x + 36

Step-by-step explanation:

Point-slope form: y - y1 = m(x - x1)

Substitue 8 for y1, and 4 for x1, and -7 for m:

y - y1 = m(x - x1)

y - 8 = -7(x - 4)

Solve:

y - 8 = -7(x - 4) <== distribute -7

y - 8 = -7x + 28 <== add 8 to both sides

  + 8         + 8

y = -7x + 36

Therefore, the point-slope of the line is y = -7x + 36

Check your answer using (4, 8):

y = -7x + 36

8 = -7(4) + 36

8 = -28 + 36

8 = 8

This statement is correct

Hope this helps!

Answer:

About 0.1

Step-by-step explanation:

If you divide 7.35 by 63, you get about 0.1.

Answer:

3

Step-by-step explanation:

3^1 = 3, 3^2 = 9, 3^3 =27, 3^4 =81,

3^5 = 243, etc. We see that the last digits of the powers of 3 are 3, 9, 7, and 1. If we continue this pattern, the last digit of 3^73 is 3. So if 3^73 is divided by 5, the remainder is 3.

Answer:

Step-by-step explanation:

The angle between the secant and the tangent will be half the measure of the intercepted arc. The two intercepted arcs total 1+5=6 ratio units and 360°. That means each ratio unit represents 60° of arc. The two arcs are 60° and 300°.

Then the two angles at the tangent and secant are ...

  60°/2 = 30° . . . . . . . the one marked in the attache drawing

  300°/2 = 150°

Hey !

For each value of x determine whether it is a solution to 45 = -9 ( x + 5 )

In the question we have given an equation i.e. :

In the question values of x are also given i.e. :

In this question we have to determine whether given value of x are solution fo the given equation or not .

We are solving this question by substituting given value of x in the equation if equation satisfied then it means that the value for x is solution of the equation .

1) Value of x as 5 :

Now substituting value of x as 5 :

Therefore , 5 is not the solution for equation .

2) Value of x as -7 :

Now substituting value of x as -7 :

Therefore , -7 is not the solution for equation .

3) Value of x as 1 :

Now substituting value of x as 1 :

Therefore , 1 is not the solution for equation .

4) Value of x as -4 :

Now substituting value of x as -4 :

Therefore , -4 is not the solution for equation .

[tex] Keep \: Learning[/tex]

Answer:

2.7

Step-by-step explanation:

15/1 = 40/x

Cross multiply: 40/15

Divide: 2.66

Round up: 2.7

2.7 times 15= 40.5

Answer:

2hrs. 40mins.

Step-by-step explanation:

A babysitter charges a rate of $15 per hour. How long was the babysitter there if she makes $40?

x = hours she babysat

Equation:

15x = 40

Divide to isolate x:

15x = 40

/15   /15

x = 8/3 hrs.

Now, we convert into hours and minutes, since she did work for more than an hour, to earn the $15 each hour.

We know that there are 60 mins. in an hour

60 * 8/3

480/3

160 mins.

Convert into hour and mins:

1 hr. = 60 mins

160/60 = 2 40/60 ==> 2 2/3

Convert 2/3 into mins to add to the hours:

60 * 2/3

120/3 = 40

2hrs. + 40 mins.

2hrs. and 40mins

Therefore, the babysitter was there for 2hrs. 40mins.

Hope this helps!

Answer:

(-[tex]\sqrt{3\\}[/tex]/2,1/2);(-x,y)

Step-by-step explanation:

use the 1, root 3, 2 trick. 150's reference angle is 30 as q2 = 180-x


1 is the opposite here,  2 is always hypotenuse, root 3 is adjacent here

x value is based on cos = CAH
it's minus because in q2 angles are (-x,y)

hope that helps

Step-by-step explanation:

[tex]1 - 87 + 23 \\ = - 86 + 23 \\ = - 63 \\ \\ \\ \\ 5 - 700 \div 7 \\ = 5 - 100 \ \\ = - 95[/tex]

hope it helps ..

Answer:

A. $5,448

B. $102,800

If you need the rest of the parts:

C. $4,500

D. $20,500

E. $68,000

The income tax of $5,448.

The taxable income is $102,800

The tax that is imposed on all people and corporations is called income tax. The amount of individual income taxes is determined by the individual's income. Because the burden is assumed to fall on the payers, it is typically characterised as a direct tax. Corporate income tax is charged on net profits, which are determined as the difference between allowable costs and receipts.

From the graph,

it can be observed that the taxpayer who has the taxable income of $39,800 has to pay income tax of $5,448.

Also, a taxpayer owing $21,197 means that he has to pay income tax of $21,197.

His taxable income is $102,800 as shown in the graph below.

Learn more about Income tax here:

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Let's see

#1

#2

Answer:

Net pay = $142 + $2665 = $2807

Percent withdrawn = (withdrawal ÷ net pay) × 100%

                               = (142 ÷ 2807) × 100%

                               = 5.058781617...%

                               = 5.1% (nearest tenth)

Point: is a zero-dimensional object that defines a specific location on a plane. Also, it's represented by using a small dot.

A geometric figure can be defined as the forms of different dimensional objects that are formed through a combination of lines, planes or points.

In Geometry, the following terminologies and definitions are used to describe a geometric figure:

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