A scale drawing of a rectangle painting is 12 inches long and 8 inches tall. The actual painting is 12 feet tall. What is the scale of the drawing? What is the perimeter of the actual painting? What is the area of the actual painting?

Answer:

17.2 in

Step-by-step explanation:

The formula for arc length is s = rФ.  Here we are to find r.  Solving this formula for r, we get:

r = s/Ф

So, in this problem, r = (9 in) / (π/6) = 54/π in ≈ 17.2 in

Answer:

first and last expressions are correct.

Step-by-step explanation:

[tex]f(x) = {x}^{2} + 2x - 10 \\ f( - 2) = { (- 2)}^{2} + 2( - 2) - 10 = \\ = 4 - 4 - 10 = - 10[/tex]

The minimum value of both sine and cosine is -1. However the angles that produce the minimum values are different, [tex]-\pi/2, \pi[/tex] for sine and cosine respectively.

The question is, can we find an angle for which the sum of sine and cosine of such angle is less than the sum of values at any other angle.

Here is a procedure, first take a derivative

[tex]\frac{d}{dx}(\sin x+\cos x)=\cos x -\sin x[/tex]

Then compute critical points of a derivative

[tex]\cos x-\sin x=0\implies x_1=\frac{\pi}{4},x_2=\frac{5\pi}{4}[/tex].

Then evaluate [tex]\sin x +\cos x[/tex] at [tex]x_1,x_2[/tex].

You will obtain global maxima and global minima [tex]\sqrt{2}, -\sqrt{2}[/tex] respectively.

The answer is [tex]-\sqrt{2}[/tex].

Hope this helps.

I don't know sorry but I recommend using quizlet

Answer:

Expression of the statement = 18 - 2x

Answer:

18 - 2x

Step-by-step explanation:

Answer:

1/12

Step-by-step explanation:

if Mr.Tough can grade 1 in 12 hours he can do 1/12

The fraction of the exams that Mr Tough and Mrs Nice grade in 1 hour if they work together is 3/20

A fraction is used to denote a portion or component of a whole. Numerator and denominator are the two components that make up a fraction. There are three types of fractions: proper, incorrect, and mixed.

Using, rate × time = work done

So, Mr Tough's rate:

Mr Tough's rate × 12 hours = final exam

Mr Tough's rate = 1/12

and, Mrs. Nice's' rate:

Mrs .Nice's' rate × 15 hours = final exam

Mrs .Nice's' rate = 1/15

So, Total time:

T(1/12 hours + 1/15 hours) = final exam

T =  final exam / (1/12 + 1/15)

T =  final exam / (0.15)

Now, 1 hour =  final exam / (0.15)

final exam = 1 × 0.15

                = 0.15

                = 15/ 100

                = 3/20

Therefore, 3/20 fraction of the final exam.

Learn more about work, time and rate here:

brainly.com/question/23849623

#SPJ2

Answer:

○ B. [tex]\displaystyle 186\:square\:units[/tex]

Explanation:

All edges conjoin to form right angles, therefore you have these:

[tex]\displaystyle \boxed{186} \hookrightarrow 121 + 30 + 35 \Rightarrow 11^2 + 5 \times 6 + 5 \times 7[/tex]

OR

[tex]\displaystyle \boxed{186} \hookrightarrow 120 + 66 \Rightarrow 24 \times 5 + 6 \times 11[/tex]

I am joyous to assist you at any time.

Answer:

800 × ( 3.87÷ 100 ) × 1

= 30.96

The statement to represent the expression is fraction 1 over 2 the difference between 734 and 246. Therefore, option B is the correct answer.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression is 1/2 ×(734-246)

= 1/2 ×488

= 244

Therefore, option B is the correct answer.

To learn more about an expression visit;

https://brainly.com/question/28170201.

#SPJ3

Answer:

4/6

Step-by-step explanation:

the total time the dice roll over four.. which is also 4/6

Answer:

24/7

Step-by-step explanation:

Answer:

8/3

Step-by-step explanation:

4      *      6      =       24                       8

9                                 9                         3

Answer:

i think it would be the first one i am not 100% sure just a gues

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

Answer: 9/8 , 18/16 , 27/24 , 36/32 , 45/40 , 54/48 , 63/56

Answer:

.

Step-by-step explanation:

.///////

Answer:

28

Step-by-step explanation:

Answer:

The student got 28 questions correct and 7 wrong.

Answer:

the answer qould be 4x if you are just simplifying

Answer:

3 seconds

Step-by-step explanation:

Initial height = 144 feet

t = Time taken

The equation of the height from the ground is

[tex]h(t)=-16t^2+\text{Initial height}[/tex]

The time taken to reach the ground is needed. Here the ground is taken as reference so [tex]h(t)=0[/tex]

[tex]0=-16t^2+144\\\Rightarrow -144=-16t^2\\\Rightarrow t=\sqrt{\dfrac{144}{16}}\\\Rightarrow t=3\ \text{s}[/tex]

So, time taken by the quarter to reach the ground is 3 seconds.

The roots of x^2 + (1 - k).x+k-3 = 0 are real for all real values of k

The equation is given as:

x^2 + (1 - k).x+k-3 = 0

For an equation to have real root, then the following must be true:

[tex]b^2 \ge 4ac[/tex]

In x^2 + (1 - k).x+k-3 = 0, we have:

a = 1

b = 1 - k

c = k - 3

So, we have:

[tex](1 - k)^2 \ge 4 * 1 * (k - 3)[/tex]

Evaluate

[tex]1 - 2k + k^2 \ge 4k - 12[/tex]

Collect like terms

[tex]k^2 - 2k - 4k + 1 + 12 \ge 0[/tex]

[tex]k^2 - 6k + 13 \ge 0[/tex]

Using a graphing calculator, the value of k is all real numbers

Hence, the roots of x^2 + (1 - k).x+k-3 = 0 are real for all real values of k

Read more about real values at:

https://brainly.com/question/6499629

Answer:

a) 100% = 20 squares

b) 120% = 24 squares

Answer:

9,160,000 tons

Answer:

35 (C)

Step-by-step explanation:

Answer:

B) 30

Step-by-step explanation:

This is a pretty tricky question. If you draw the line of best fit and go to 9 salespeople, it would be closer to 30 compared to any of the other choices.

Answer:

The answer should be C

Step-by-step explanation:

I hope that helps you!

Answer:

56.1

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

cos theta = adjacent/ hypotenuse

cos N = PN / NO

cos 27 = 50/ x

x cos 27 / 50

x = 50/cos 27

x=56.11631188

Rounding to the nearest tenth

x = 56.1

Step-by-step explanation:

i think it's a b and answer my new question it's 100 point question I really need the answer pls help me

Answer:

~114.56

Step-by-step explanation:

Because you're asked to find the number so that x% is y, we will have to find that number. The equation in that case would be NUM * 0.934 = 107. Divide both sides by .934 to get an answer of approximately 114.56.