A theater production group is making frames to support wall-like props. Three-foot beams form right triangles with 10-foot beams to allow them to stand, as shown in the image.

A right triangle is shown. The lengths of the 2 sides are 10 feet and 3 feet. The angle opposite to side with length 3 feet is x.

What is x, the angle at which the diagonal beam meets the 10-foot beam at the top of the frame?

16.7°
17.5°
72.5°
73.3°

Answer:

7

Step-by-step explanation:

The diameter is twice the radius, and 2(3.5) = 7.

x = 3/2

Getting x on one side of the equation:

(2/5)x = 9/15

x = (9/15)(5/2)

x = 9/6

x = 3/2

Answer:

D.

Step-by-step explanation:

The posssibility that a random person will not buy any dramas is 3/4 since 1/4 is the one with drama and there's 4 types of movies.

Answer:

On the 12th day, the rumor would have has to all the 1000 employees

Step-by-step explanation:

Given the data in the question;

so, lets consider the rumor spreading thorough the company of 1000 employee;

the given model is; [tex]r_{n+1}[/tex] = [tex]r_{n}[/tex] + 1000k[tex]r_{n}[/tex] ( 1000 - [tex]r_{n}[/tex] )

where k is the parameter that depends on how fast the rumor spreads, n is the number of days.

now, lets assume k = 0.0001, lets also assume r₀ = 4

so to find how soon all 1000 employees  will have heard the rumor  ;

let n be;

then r1 will be;

r1 = r₀ + ( 0.001)r₀(1000-r₀ )

so

r1 = 4 + ( 0.001) × 4× (1000 - 4 )

r1 = 7.984

r2 will be;

r2 = r1 + ( 0.001)r1(1000-r1 )

r2 =  7.984 + ( 0.001) × 7.984 × (1000 - 7.984 )

r2 = 15.904255744

r3  will be;

r3 = r2 + ( 0.001)r2(1000-r2 )  

r3 = 15.904255744 + ( 0.001) × 15.904255744 × (1000 - 15.904255744 )

r3 = 31.555566137

Using the same formula and procedure by substituting n = 1,2,3,4,5,6,7,8,9,10,11,12.

we will have;

n        rₙ

0        4

1        7.984

2       15.904255744

3       31.555566137

4       62.1153785

5       120.372437

6       226.25535

7       401.319217

8       641.58132

9       871.53605

10     983.497013

11      999.727651

12     999.999926

Therefore, On the 12th day, the rumor would have has to all the 1000 employees

Answer:

I think it is 24

Step-by-step explanation:

15÷5=3

3×8=24

Answer:

24

Step-by-step explanation:

divide 15 by 5 to get 3 which is equal to 1/8 of the number. then just multiply 3 by 8 to get 24.

Answer:

the left tree is taller

Step-by-step explanation:

shown in work above :)

The first tree is taller than the second tree by 25.3 ft.

We have to use the trigonometric ratios and angle of elevation to obtain the height of each tree as follows;

Let the height of the first tree be h1 and the height of the second tree be h2.

For the first tree;

tan 50° = h1/67

h1 = 67 tan 50° = 79.8 ft

For the second tree;

tan 36° = h2/75

h2 = 75tan 36°

h2 = 54.5 ft

The first tree is taller than the second tree by 25.3 ft.

Learn more about angle of elevation: https://brainly.com/question/12483071

Answer:

The awsner is C

Step-by-step explanation:

C is the awnser

Answer:

[tex]\frac{12}{5}[/tex]

Answer:

True

Step-by-step explanation:

This is true. According to studies conducted roughly 40% of academic problems and cause of college, dropouts is due to Alcohol. The students tend to party and drink a lot. This alcohol consumption makes the students tired, hungover, and unable to properly function enough so that they can attend classes on time and study to be able to pass the exams. This ultimately leads to failing grades and dropping out of the career.

Answer:

The value of g(2) is larger than the value of g(-4)

Step-by-step explanation:

2 is a larger number than -4, so automatically, the value of g(2) would be larger.

the answer is 9 because......

Answer:

He will make 90 dollars in profit.

Step-by-step explanation:

15 x 8 to find how much he makes. He makes 120 dollars. But we have to count the 30 dollars less he spent by subtracting 120 - 30. You get 90 dollars.

Hope it helps!

Answer:

120 dollars

Step-by-step explanation:

30 dollars times 15 lawns equal 120$

9514 1404 393

Answer:

  7,200

Step-by-step explanation:

McKenzie's commission for the month is ...

  0.12 × 45,000 = 5,400

When that is added to McKenzie's base pay, she makes a total of ...

  5,400 +1,800 = 7,200

McKenzie makes 7,200 in a month when she sells 45,000 worth of cars.

Answer: Oh no... Anyway's wanna ask me a question about sex ed?

Step-by-step explanation: x=495

,P=241,525

Step-by-step explanation:

Given that

Profit=Total revenue - total cost

P= R -C

Also given that

So

Above equation is the total profit in terms if x.

Now to find maximum value of P we have to differentiate above equation with respect to x

So

⇒x=495

So total profit at x=445  ,P=241,525

Answer:

The profit function is:

[tex]P(x)=-x^2+1280x-3300[/tex]

The maximum value is 406, 300 occurring when x = 640.

Step-by-step explanation:

The revenue function is:

[tex]R(x)=1300x-x^2[/tex]

And the cost function is:

[tex]C(x)=3300+20x[/tex]

Then the total profit function will be:

[tex]P(x)=R(x)-C(x)=(1300x-x^2)-(3300+20x)=-x^2+1280x-3300[/tex]

This is a quadratic function.

Therefore, the maximum value of the total profit will occur at its vertex point.

The vertex of a quadratic is given by:

[tex]\displaystyle \Big(-\frac{b}{2a}, f\Big(-\frac{b}{2a}\Big)\Big)[/tex]

In this case, a = -1, b = 1280, and c = -3300.

Then the point at which the maximum profit occurs is at:

[tex]\displaystyle x=-\frac{1280}{2(-1)}=640[/tex]

And the maximum profit will be:

[tex]P(640)=-(640)^2+1280(640)-3300=406300[/tex]

Answer:

Stop the line of production since the sample mean  (56.96) is outside the confidence interval [[tex]CI_{0.95}[/tex] = ( 56.98, 57.05 )]

Step-by-step explanation:

Given that;

95% confidence interval for these parts is 56.98 to 57.05

[tex]CI_{0.95}[/tex] = ( 56.98, 57.05 )

Sample mean = 56.96

We know that;

If the sample mean is within the confidence interval then, our decision is to keep the line operating as it is inside the confidence interval.

But if the sample mean is not within the confidence interval them, our decision is to stop the line of production as it is outside the confidence interval.

Now since our mean sample (56.96) does not lie between with the 95% confidence interval [tex]CI_{0.95}[/tex] = ( 56.98, 57.05 ).

Therefore, Stop the line of production since the sample mean  (56.96) is outside the confidence interval [[tex]CI_{0.95}[/tex] = ( 56.98, 57.05 )]

9514 1404 393

Answer:

  ΔXXX ≅ ΔXXX

Step-by-step explanation:

All vertices have the same designation, so the congruence statement is ...

  ΔXXX ≅ ΔXXX

I can't see because theirs no question

Answer: 10

Step-by-step explanation:

2+4+4= 10

Answer:

1. b

2.c

3.a

Step-by-step explanation:

welcome

Answer:

1) b: 1,176 sc

2) c: 100 sf

3) a: 225.36

Step-by-step explanation:

Answer:

[tex]Sum = 5x[/tex]

Step-by-step explanation:

Given

1: 5x + 20

2: Opposite of 20

Required

Find their sum

Suppose that a is a number; The opposite of a is -a. So, the opposite of 20 is -20.

Having said that:

The required sum is:

[tex]Sum = 5x + 20 + (-20)[/tex]

Remove bracket

[tex]Sum = 5x + 20 -20[/tex]

[tex]Sum = 5x[/tex]

This question is incomplete, the complete question is;

Determine if the described set is a subspace. Assume a, b, and c are real numbers.

The subset of R³ consisting of vectors of the form [tex]\left[\begin{array}{ccc}a\\b\\c\end{array}\right][/tex] , where abc = 0

Answer:

Therefore; The set is not a subspace

Step-by-step explanation:

Given the data the question;

the subset R³;

S = {  [tex]\left[\begin{array}{ccc}a\\b\\c\end{array}\right][/tex] , where abc = 0 }

we know that a subset of R³ is a subspace if it stratifies the following properties;

Looking at the properties, we can say that it is not a subspace

As;

         u = [tex]\left[\begin{array}{ccc}1\\1\\0\end{array}\right][/tex] ∈ S       and v = [tex]\left[\begin{array}{ccc}0\\1\\1\end{array}\right][/tex]  ∈ S

As    1×1×0=0                          0×1×1=0

But   u+v = [tex]\left[\begin{array}{ccc}1+0\\1+1\\0+1\end{array}\right] =[/tex] [tex]\left[\begin{array}{ccc}1\\2\\1\end{array}\right][/tex]  ∉  S     as 1×2×1 ≠ 0

Hence, it is not closed under addition.

Therefore; The set is not a subspace

Answer:

4 1/2×4 1/2=9/2×9/2=81/4=20.25

4 1/2×4 1/2=9/2×9/2=81/4=20 1/4 .

Answer:

b

Step-by-step explanation:

Answer:

Nine hundred

The 9 is in the hundred place. So it would stand for 9 hundred.

Answer:

327^3 = 34 965 783

173^3 = 5 177 717

34 965 783 + 5 177 717 = 40 143 500

40 143 500 ÷ 500 = 80 287

80 287 is a whole number, therefore, 327^3 + 173^3 is divisible by 500.

I hope this helps :)

Yes, the expression ( 327³ + 173³ ) is divisible by 500.

The mathematical expression combines numerical variables and operations denoted by addition, subtraction, multiplication, and division signs.

Mathematical symbols can be used to represent numbers (constants), variables, operations, functions, brackets, punctuation, and grouping. They can also denote the logical syntax's operation order and other properties.

Given that the expression is 327³ + 173³ and is divided by 500. The division will be calculated as,

327³ = 34 965 783

173³ = 5 177 717

34,965,783 + 5,177,717 = 40,143,500

40,143,500 ÷ 500 = 80,287

80,287 is a whole number, therefore, 327³ + 173³ is divisible by 500.

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