A sign is 6 feet long and 4 feet high. Part of it is a red rectangle that is 3 feet by 2 feet. What percent of the sign is red

Answer:

∠TRU is supplementary with ∠PQS as SQ║TR.

Supplementary angles add up to 180°.

Consider ΔRTU

∠RUV is exterior angle and therefore is sum of ∠TRU and ∠RTU:

<TRU

Sum of 2 interiors =exterior

<RTU

Answer:

C. The mean absolute deviation is 2.

Step-by-step explanation:

In order to find the mean absolute deviation, follow the following steps:

Let's work it out.

STEP: 1

|9 - 14| = 5

|13 - 14| = 1

|14 - 14| = 0

|15 - 14| = 1

|15 - 14| = 1

|18 - 14| = 4

STEP: 2

5 + 1 + 0 + 1 + 1 + 4 = 12

STEP: 3

Mean Absolute deviation [tex] =\frac{12}{6}= 2[/tex]

Answer:

B?

Step-by-step explanation:

Can I have brainliest? It would help me out, if not thanks anyways! Hope this helped and have a nice day!

Answer:

The answer is 2x + -3y = 19

Step-by-step explanation:

no idea what the guy on top is saying

Answer:

take 40 degree as reference angle

using tan rule

tan 40 =p/b

0.83=900/x

0.83x=900

x=900/0.83

x=1084.33

x=1084.3(after rounding off to the nearest tenth)

Step-by-step explanation:

Answer:

Step-by-step explanation:

im assuming were solving for k so we wanna get it by itself

9k - 18 = -6

start by adding 18 to both sides

9k = 12

then divide both sides by 9

k = 12/9

hope this helps <3

Answer:

the answer is

k= 4/3

Step-by-step explanation:

9k-18=-6

9k=-6+18

9k=12

k= 12/9

simplify it which gives k=4/3 or in decimal form 1.333

Answer:

y(t) =  3u₂(t) [ [tex]e^{-2t+4} - e^{-5t + 10)}[/tex] ] - 4u₅(t) [ [tex]e^{-2t+10)} - e^{-5t + 25)}[/tex] ]

Step-by-step explanation:

To find - y″+ 5y′ + 6y = 3δ(t − 2) − 4δ(t −5); y(0) = y′(0) = 0

Formula used -

L{δ(t − c)} = [tex]e^{-cs}[/tex]

L{f''(t) = s²F(s) - sf(0) - f'(0)

L{f'(t) = sF(s) - f(0)

Solution -

By Applying Laplace transform, we get

L{y″+ 5y′ + 6y} = L{3δ(t − 2) − 4δ(t −5)}

⇒L{y''} + 5L{y'} + 6L{y} = 3L{δ(t − 2)}  − 4L{δ(t −5)}

⇒s²Y(s) - sy(0) - y'(0) + 5[sY(s) - y(0)] + 6Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]

⇒s²Y(s) - 0 - 0 + 5[sY(s) - 0] + 6Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]

⇒s²Y(s) + 5sY(s) + 6Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]

⇒[s² + 5s + 6] Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]

⇒[s² + 3s + 2s + 6] Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]

⇒[s(s + 3) + 2(s + 3)] Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]

⇒[(s + 2)(s + 3)] Y(s) = 3[tex]e^{-2s}[/tex] - 4[tex]e^{-5s}[/tex]

⇒Y(s) = [tex]\frac{3e^{-2s} }{(s + 2)(s + 3)} - \frac{4e^{-5s} }{(s + 2)(s + 3)}[/tex]

Now,

Let

[tex]\frac{1}{(s+2)(s+3)} = \frac{A}{s+2} + \frac{B}{s+3} \\\frac{1}{(s+2)(s+3)} = \frac{A(s + 3) + B(s+2)}{(s+2)(s+3)}\\1 = As + 3A + Bs + 2B\\1 = (A+B)s + (3A + 2B)[/tex]

By Comparing, we get

A + B = 0 and 3A + 2B = 1

⇒A = -B

and

3(-B) + 2B = 1

⇒-B = 1

⇒B = -1

So,

A = 1

∴ we get

[tex]\frac{1}{(s+2)(s+3)} = \frac{1}{s+2} + \frac{-1}{s+3}[/tex]

So,

Y(s) = [tex]3e^{-2s}[ \frac{1}{(s + 2)} - \frac{1}{(s + 3)}] - 4e^{-5s}[ \frac{1}{(s + 2)} - \frac{1}{(s + 3)}][/tex]

⇒Y(s) = [tex]3e^{-2s} \frac{1}{(s + 2)} - 3e^{-2s} \frac{1}{(s + 3)} - 4e^{-5s}\frac{1}{(s + 2)} + 4e^{-5s}\frac{1}{(s + 3)}[/tex]

By applying inverse Laplace , we get

y(t) = 3u₂(t) [ [tex]e^{-2(t-2)} - e^{-5(t - 2)}[/tex] ] - 4u₅(t) [ [tex]e^{-2(t-5)} - e^{-5(t - 5)}[/tex] ]

⇒y(t) =  3u₂(t) [ [tex]e^{-2t+4} - e^{-5t + 10)}[/tex] ] - 4u₅(t) [ [tex]e^{-2t+10)} - e^{-5t + 25)}[/tex] ]

It is the required solution.

Answer:

636

Step-by-step explanation:

SA=2LW+2LH+2WH

SA= 2(12)(10)+2(12)(9)+2(10)(9)= 636

Answer:

The answer is 636

Step-by-step explanation:

Brainliest maybe?

:)

Step-by-step explanation:

The given angle is a 90° . Therefore the sum of both angles is 90° .

> 40 + x = 90

> x = 90 - 40

> x = 50

Solution 2 ;-

> 20 + x = 90

> x = 70

Answer:

14/13=1.08 (rounded up)

Step-by-step explanation: Change in Y/ Change in x

Answer:

I think it's -51

Step-by-step explanation:

I'm not entirely sure. But it is my best guess.

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

Explanation:

Let x be the reference angle where the question mark is located.

Opposite this angle x is 27. The adjacent side is 38.

Use the tangent ratio to tie the two sides together

tan(angle) = opposite/adjacent

tan(x) = 27/38

x = arctan(27/38)

x = 35.3947958 .... which is approximate

x = 35.4

Be sure that your calculator is in degree mode. The notation "arctan" refers to "arctangent" which is the same as inverse tangent. Your calculator should have a button labeled [tex]\tan^{-1}[/tex] to help compute this.

Answer:

True very true

Step-by-step explanation:

Answer:

B) Independent

Step-by-step explanation:

Independent events:

Two events, A and B are independent, if:

[tex]P(A \cap B) = P(A) \times P(B)[/tex]

In this question:

[tex]P(A \cap B) = \frac{63}{200}[/tex]

[tex]P(A) \times P(B) = \frac{9}{20}*\frac{7}{10} = \frac{9*7}{20*10} = \frac{63}{200}[/tex]

Since [tex]P(A \cap B) = P(A) \times P(B)[/tex], these events are independent.

Answer:

48

Step-by-step explanation:

One dozen is 12.

12 x 4 = 48

Answer:

144.5

Step-by-step explanation:

Area of a triangle = one half of the base length times the height

The given base length is 17 cm and the given height is 17 cm

Hence, area = [tex]\frac{17*17}{2}[/tex]

17 * 17 = 289

289 / 2 = 144.5

Area = 144.5cm²

Answer: 144.5

Step-by-step explanation:

The answer is correct because, the formula of a triangle is base times height divided by 2. Since the base and height is 17, we multiply 17 times 17. The answer for 17 times is: 289. Now we have to divide it by two. 289 divided by 2 equals: 144.5.

Hope This Helps!

Answer:

(x - .20)(x - .50)

[tex]x^{2}[/tex] = (.20)(.50)

[tex]x^{2}[/tex] = 0.1

x = [tex]\sqrt{ .1[/tex]

x = .32

the product of two numbers decrease by 32%

Answer:

7x+5

Step-by-step explanation:

or, 2x3+x4-3x+5

or, 6x+x4-3x+5

or, 10x-3x+5

or, 7x+5

Answer: z=25 x=114

Step-by-step explanation:

Answer:

Mercantilism allowed for government regulation of trade, which interfered with natural market forces.

Answer:

This report is biased because most people drive to gas stations.

Step-by-step explanation:

The distance to a gas station is often further than walking distance. Therefore, most people will take a car because it's quicker, and most people go to gas stations to get gas.

Answer:

15

Step-by-step explanation:

Answer:

Perpendicular bisector

Step-by-step explanation:

Have a great day!!

hi they but you didn't put the number in for jerry and ann

Step-by-step explanation:

add ann and jerry E= 15 + 12 = 27 so that means that Evan is picked 27 strawberries

Answer:

Option a. 1.2 is the correct answer

Step-by-step explanation:

Given the data in the question;

sample size n = 10

sub group = 6

The average of sample means x" = 3.2

Average range value R' = 0.6

the value of UCL for the R-chart = ?

To get the value of UCL for the R-chart, we say;

[tex]UCL_R[/tex] = D₄ × R'

from table of constants "Tabular values for x-bar and range charts

for size 6, the factor for control limits for range D₄ = 2.004

so we substitute  

[tex]UCL_R[/tex] = 2.004 × 0.6  

[tex]UCL_R[/tex] = 1.2024 ≈ 1.2  

Hence, Option a. 1.2 is the correct answer.

Answer:

77/24

The answer for this question is 77/24                                                                                                                                                                                    

Answer:

51.2

Step-by-step explanation:

Answer:

a) linear function =  150 + 30x represents 1km

    and 150 + 60x represents 2km We can therefore remove the ones and even factor 15 and 3 into

3(5+1x)

b)  y = 2/3x + 225

Can be factored from 2/3 (30x+75)  and simplified to  2/3(3x+15/2)

Step-by-step explanation:

if 150 stop and 30 for each mile

we show zero on each axis and show the y intercept at 150

The X axis should determine time or distance travelled

So if showing distance we show miles in 10,20,30,40,

and costs 0,30,60,90 but if 150 applies to any passengers entering vehicle and all journeys then we start graph at $ cost = 150 and go up by 30 showing 150.180.210.240  for the data for the y axis/

Therefore 20k is 2/3 km and we can show 2/3 as our multiple.

2/3 of 225 is 150 to find we flip 3/2 x 150 = 225

y = 2/3 ( 30x + 225) and we have our equation for b

y = 2/3x + 225