If you place a 35-foot ladder against the top of a 26-foot building, how many feet will the bottom of the ladder be from the bottom of the building? Round to the nearest tenth of a foot.

Answer:

51.2

Step-by-step explanation:

Answer:

Explanation:

x2+14x+40

We can Split the Middle Term of this expression to factorise it.

In this technique, if we have to factorise an expression like ax2+bx+c, we need to think of 2 numbers such that:

N1⋅N2=a⋅c=1⋅40=40

and,

N1+N2=b=14

After trying out a few numbers we get N1=10 and N2=4

10⋅4=40, and 10+4=14

x2+14x+40=x2+10x+4x+40

=x(x+10)+4(x+10)

Here (x+10) is common to both terms.

So the factorised form is=(x+4)(x+10)

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

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:

1)12²+9²=225

X=15km

2)12²+x²=13²

x²= 169-144

x²=25

x=5mi

Answer:

15

Step-by-step explanation:

Answer:

1. 28.26 2. 94.985 3. 113.04 4. 50.24 5. 153.86

Step-by-step explanation:

For the circles that have a long line that is the size of the circle is the diameter so the number for the diameter for example is 6 so divide it by 2 which is 3. Multiply 3 by 3 which is 9 and multiply by 3.14 and its 28.26

For the circles that have a line that goes halfway of the circle its more quick so 5.5 x 5.5 equals 30.25 and multiply by 3.14 and you get 94.985

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:

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

Given:

Jazmine made [tex]3\dfrac{1}{3}[/tex] cups of jam.

One jar can hold [tex]\dfrac{2}{5}[/tex] cup.

To find:

Number of jars of jam can Jasmine make.

Solution:

We have,

Capacity of each jar = [tex]\dfrac{2}{5}[/tex] cup

Total jam made by Jazmine = [tex]3\dfrac{1}{3}[/tex] cups

                                              = [tex]\dfrac{3(3)+1}{3}[/tex] cups

                                              = [tex]\dfrac{10}{3}[/tex] cups

Now,

[tex]\text{Number of Jars of jam}=\dfrac{\text{Total jam made by Jazmine}}{\text{Capacity of each jar}}[/tex]

[tex]\text{Number of Jars of jam}=\dfrac{\dfrac{10}{3}}{\dfrac{2}{5}}[/tex]

[tex]\text{Number of Jars of jam}=\dfrac{10}{3}\times \dfrac{5}{2}[/tex]

[tex]\text{Number of Jars of jam}=\dfrac{25}{3}[/tex]

[tex]\text{Number of Jars of jam}=8\dfrac{1}{3}[/tex]

Approx the value to the next integer.

[tex]\text{Number of Jars of jam}\approx 9[/tex]

Therefore, Jasmine make 9 cups of jam in which 8 are completely filled and one is filled one third.

Answer:

36m² -60mn +25n²

Step-by-step explanation:

Formula=(a-b)²=a²-2ab+b²

(6m-5n)²

=(6m)²- 2×6m×5n + (5n)²

=36m² -60mn +25n²

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!

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

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:

77/24

The answer for this question is 77/24                                                                                                                                                                                    

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: 84

Step-by-step explanation:

The horizontal line is the line tangential to a circle. The measure of the missing angle "x" is 84 degrees

From the figure given, the horizontal line is the line tangential to a circle.

Given the following parameter

measure of minor arc = 168 degrees

Required

angle at the vertex "x"

Using the theore " angle the vertex is half of the measure of its intercepted arc. Mathematically;

x =1/2 minor arc

x= 1/2 (168)

x = 84 degrees

Hence the measure of the missing angle "x" is 84 degrees

Learn more on circle geometry here: https://brainly.com/question/24375372

#SPJ2

Answer:

48

Step-by-step explanation:

One dozen is 12.

12 x 4 = 48

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: z=25 x=114

Step-by-step explanation:

9514 1404 393

Answer:

  a) $800

  b) $1050

  c) D: [0, 250]; R: [800, 3300]

Step-by-step explanation:

a) The problem statement tells you the fixed cost is ...

  C(0) = 800 . . . . dollars

__

b) The cost of making 25 items is ...

  C(25) = 10·25 +800 = 250 +800 = 1050 . . . . dollars

__

c) You cannot make fewer than 0 items. The limit on cost means the most you can make is ...

  3300 = 10x + 800

  2500 = 10x

  250 = x . . . . . . . . maximum number of items that can be made

So, the domain of the function -- the values of x to which it pertains -- is ...

  0 ≤ x ≤ 250

In interval notation, this is [0, 250] . . . domain of C(x).

The range of C(x) is the set of cost values the function may have. We already know the minimum is 800. The problem statement tells us the maximum is 3300. The cost may have any value between those limits, so ...

  800 ≤ C(x) ≤ 3300

In interval notation, this is [800, 3300] . . . range of C(x).

_____

Additional comment

Square brackets are used in interval notation when the "or equal to" case is part of the limit.

We could be more specific regarding domain and range, since the domain values are integers only, and the range values are multiples of 10 only. Here, we ignore that little detail.

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:

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:

[tex]Cost= \$3520[/tex]

Step-by-step explanation:

Given

[tex]l = \frac{1}{4}in[/tex]

[tex]Unit\ Cost = \$11[/tex] per ft^2

Required

Cost  of dining room

Start by calculating its area.

We have:

[tex]Area = 4l * 5l[/tex] ---- the squares

Substitute [tex]l = \frac{1}{4}in[/tex]

[tex]Area = 4 * \frac{1}{4} * 5* \frac{1}{4}[/tex]

[tex]Area = \frac{5}{4}in^2[/tex]

Convert to [tex]ft^2[/tex]

[tex]Area = \frac{5}{4} * (16ft)^2[/tex]

[tex]Area = \frac{5}{4} * 256ft^2[/tex]

[tex]Area = 320ft^2[/tex]

So, the cost is:

[tex]Cost = Unit\ Cost * Area[/tex]

[tex]Cost= \$11/ft^2 * 320ft^2[/tex]

[tex]Cost= \$11 * 320[/tex]

[tex]Cost= \$3520[/tex]

Answer:

c

Step-by-step explanation:

Answer:

D. 24.5

Step-by-step explanation:

5x + 8° + 3x - 24° = 180° { Being linear pair}

8x - 16° = 180°

8x = 196°

x = 196° / 8

x = 24.5°

Hope it will help :)❤

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