A 33 33 -ft ladder leans against a building so that the angle between the ground and the ladder is .

9514 1404 393

Answer:

  the difference of 2 or 3 rectangles

Step-by-step explanation:

In every case, the "shaded" area can be computed by finding the area of a "bounding" rectangle, and subtracting the areas of the rectangular cutouts that give the figure its shape.

(a) The cutout is the white space at upper right. (Insufficient dimensions are given.)

(b) The cutout is the white space at lower left. The bounding rectangle is 8×7, and the cutout is 4×3.

(c) The cutout is the rectangle in the middle. The bounding rectangle is 13×7, and the cutout is 4×1.

(d) The cutouts are the rectangles on either side. They could be considered as a single unit. The bounding rectangle is 20×25; the cutouts have a total width of 16 and a height of 20, so total 16×20.

(e) Similar to (d), the cutouts are the white spaces on either side. The bounding rectangle is 14×12. The cutouts total 12 in width and 3 in height, so total 12×3.

__

You will note in (d) and (e) that the dimensions of the cutouts have something in common with the dimensions of the bounding rectangle. This means the problem can be simplified a little bit by factoring out that common factor. In (e), for example, 14×12 -(12×3) = 12(14 -3) = 12×11

Answer:

Standard form:

−x − 7 = 0

Factorization:

−(x + 7) = 0

Solutions:

x = −7

Step-by-step explanation:

hope it helps

Answer:

the time percentage is 17%

Step-by-step explanation:

The computation of the time percenatge in the case when the detector lie and done with the mistake is as follows:

L denotes the event  in which a person is lying.

NL denotes the event in which a person is not lying.

C denotes the event in which that lie detector works correctly

NC denotes the event in which  lie detector is not working correctly

Now

P(C|L) =0.8

And,

P(NC|L) is

=1 - .8

= 0.2

P(C|NL) =0.9

P(NC|NL) is

= 1 -.9

=.1

P(L) = 0.7

P(NL) is

= 1 - .7

= .3

Now

P(NC) =P(NC|L) × P(L) + P(NC|NL) × P(NL)

=. 2 × .7 + .1 ×.3

=. 14+.03

= 0.17

Hence, the time percentage is 17%

Answer:

the answer is 2 or c good luck

Answer:

C. 2

Step-by-step explanation:

basket of apples cost $6

Step-by-step explanation:

8/4 bread= $2

8-2=6

$6= 1 bag of orange

19-13=6$

Answer:

the answer is 18 thanks to ask help

The slides are different from each other so the chance of getting one of them is 1/18.

The chance of getting it again is 1/18 × 1/18 = 1/324

So, P(a number both times) = 1/324

Answer:

9/18 or 1/2

Step-by-step explanation:

you have 9 numbers and 9 letters. you know that you have 18 on the bottom because or 9+9=18. this just means that the probability that you will get a number twice is 1/2 because the two are independant.

Step-by-step explanation:

Marie had 160

Josh has 150

Trey has 600

Answer:

I would say that answer is proportional

Step-by-step explanation:

Answer:  Boolean Operators are simple words used as conjunctions to combine or exclude keywords in a search, resulting in more focused and productive results. Examples are  (AND, OR, NOT or AND NOT) .

Step-by-step explanation:

Answer:

remove the bracket on the other side by multiplying 180 by (2-n)

subtract 360 from 1260 to remain with -180n on the other side

divide both sides by -180n

then n become -5

The domain and range of the functions, Domain includes all possible inputs and range includes all possible outputs , are-

1.  f(x) = 4x-3

Domain - all real numbers or

Range - all real numbers

2. G(x) = | 1-2x |

Domain- all real numbers

Range - All real numbers≥ 0

3. f(x) = x²-2x+1 / x-1

this can be simplified as ( x-1)²/(x-1) = x-1

Domain - all real numbers

Range- all real numbers

4. f(x) = {x-1 if x<3,

             2x+1 if x ≥3 }

Domain - all real numbers

Range - All real numbers

5. y = [tex]\sqrt{4-x}[/tex]

Domain - All real numbers <4

Range - all real numbers ≥0

Mathematical functions are analogous to vending (soda) machine operations. When you put in a certain amount of money, you can choose from a variety of sodas. Similarly, when we use functions, we enter different numbers and get new numbers as a result. The primary characteristics of functions are domain and range. A soda can be purchased with quarters or one-dollar bills. If you put in pennies, the machine will not give you any soda flavor. As a result, the domain represents the inputs available here, which are quarters and one-dollar bills. A cheeseburger will not be served from a soda machine, no matter how much you pay. Thus, the range represents the possible outputs we can have here, i.e., the

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Answer:

m<FAB = 75°

m<BAC = 105°

Step-by-step explanation:

First, find the value of x.

(13x - 3)° = (3x + 2)° + 55° (exterior angle theorem of a ∆)

Solve for x

13x - 3 = 3x + 2 + 55

13x - 3 = 3x + 57

Collect like terms

13x - 3x = 57 + 3

10x = 60

Divide both sides by 10

x = 6

✔️m<FAB = 13x - 3

Plug in the value of x

m<FAB = 13(6) - 3 = 78 - 3

m<FAB = 75°

✔️m<BAC = 180 - m<FAB (angles on a straight line/supplementary angles)

m<BAC = 180 - 75 (substitution)

m<BAC = 105°

Answer:

45°

Step-by-step explanation:

The base angle are the same measure and since one angle is already 90° the remaining two are 45°. They have to equal up to 180. 90 + 45 + 45 = 180.

Hope this helps ya!!

Answer:

40 percent of the children that play soccer are girls in the league

Step-by-step explanation:

just divide 64/160 and get 40

Answer:

40%

Step-by-step explanation:

64/160 = 0.4

0.4 = 40%

Answer:

A.Josiah

5×4= 20+100=120

10×4=40+40=80

120 is more than 80

After 4 weeks , Josiah has 40 dollars more in his savings account.

Given :

Josiah starts with $100 in his savings account and adds 5 per week.

Let x be the number of weeks they started saving

Total money in savings account = 5 (number of weeks) + initial amount

Total money = [tex]5x+100[/tex]

Kiri starts with 40 in her savings account and adds 10 each week.

Total money = 10x+40

Now we need to find out how much money each have after 4 weeks

lets replace x by 4

Josiah have [tex]5(4)+100=120[/tex]

Kiri have [tex]10(4)+40= 80[/tex]

120-80=40

So , Josiah have 40 dollars more  in his savings account.

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Answer:

a = 0 and b = literally any number

Step-by-step explanation:

because anything to the power of 0 = 1,

so e.g. 2^0 = 1 or 8^0 = 1

this is just a rule in powers that you just have to know

and for part b anything × 0 = 0, so it can be anything

hope this helps :)

Answer:

D

Step-by-step explanation:

The term "rise over run" is frequently used when talking about slope. It means the vertical distance over the horizontal distance, so the answer is D, rise.

Answer:

[tex]\boxed {\boxed {\sf 9 \ arrangements }}[/tex]

Step-by-step explanation:

Let's set up a proportion using the following setup:

[tex]\frac{arrangements}{minutes} =\frac{arrangements}{minutes}[/tex]

We know that the florist can arrange 4 in 92 minutes.

[tex]\frac{4 \ arrangements}{92 \ minutes} = \frac{arrangements}{minutes}[/tex]

We don't know how many the florist can arrange in 207 minutes, so we say x arrangements can be completed in 207 minutes.

[tex]\frac{4 \ arrangements}{92 \ minutes} = \frac{ x \ arrangements}{ 207 \ minutes}[/tex]

[tex]\frac{4}{92} =\frac{x}{207}[/tex]

Solve for x by isolating it on one side of the proportion.

x is being divided by 207. The inverse of division is multiplication. Multiply both sides of the proportion by 207.

[tex]207*\frac{4}{92}=\frac{x}{207}*207[/tex]

[tex]207*\frac{4}{92}=x[/tex]

[tex]207*0.0434782609=x[/tex]

[tex]9=x[/tex]

The florist can arrange 9 arrangements in 207 minutes.

The annual interest rate on a loan of $ 25,500 if the interest payments are $ 956.25 will be equal to 3.75 %.

We are given that the principal loan amount is equal to $ 25,500

That is

Principal = p = $ 25,500.

The interest payments is $ 956.25

That is the amount of interest = SI = $ 956.25.

Let the rate of interest on the loan amount be r.

Time period = t = 1

Simple Interest = p r t / 100

956.25 = 25,500 × r × 1 / 100

956.25 = 255 r

r = 956.25 / 255

r = 3.75 %

Therefore, the annual interest rate on a loan of $ 25,500 if the interest payments are $ 956.25 will be equal to 3.75 %.

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Answer:

A)  P(Z > 5000) = 0.0322

B)  P( Y = 2 or 3) ≅  0.9032

Step-by-step explanation:

From the given information;

Suppose the sales for the first week are denoted by X and the sales for the second week are denoted by Y.

Then;

X & Y are independent and they follow a normal distribution.

i.e.

[tex]XY \sim N(\mu,\sigma^2)[/tex]

[tex]XY \sim N(2200,230^2)[/tex]

If we set Z to be equal to X+Y

Then, [tex]Z \sim N(2 \times 2200,2 \times 230^2)[/tex] since two normal distribution appears normal

[tex]Z \sim N(4400,105800)[/tex]

So;

[tex]P(Z > 5000) = 1 - P( Z< \dfrac{x = \mu}{\sqrt{\sigma}})[/tex]

[tex]P(Z > 5000) = 1 - P( Z< \dfrac{5000-4400}{\sqrt{105800}})[/tex]

[tex]P(Z > 5000) = 1 - P( Z< \dfrac{600}{325.2691})[/tex]

[tex]P(Z > 5000) = 1 - P( Z< 1.844626495)[/tex]

[tex]P(Z > 5000) = 1 - P( Z< 1.85)[/tex]

From the Z - tables;

P(Z > 5000) = 1 - 0.9678

P(Z > 5000) = 0.0322

B)

Let Y be the random variable that obeys the Binomial distribution.

Y represents the numbers of weeks in the next 3 weeks where the gross weekly sales exceed $2000

Thus;

[tex]Y \sim Bin(3,p)[/tex]

where;

[tex]p = 1 - P( Z < \dfrac{2000-2200}{230})[/tex]

[tex]p = 1 - P( Z < \dfrac{-200}{230})[/tex]

p = 1 - P( Z < - 0.869565)

From the Z - tables;

p = 1 - 0.1924

p = 0.8076

Now;

P(Y ≥ 2) = P(Y = 2) + P( Y =3 )

Using the formula

[tex]P(X = r ) = ^nC_r \times p^r \times q ^{n-r}[/tex]

[tex]P( Y = 2 \ or \ 3) =^ 3C_2 \times 0.8076^2 \times ( 1- 0.8076) ^ {3-2} + ^ 3C_3 \times 0.8076^3 \times ( 1- 0.8076) ^ {3-3}[/tex]

[tex]P( Y = 2 \ or \ 3) =\dfrac{3!}{2!(3-2)!} \times 0.8076^2 \times ( 0.1924) ^ 1 + \dfrac{3!}{3!(3-3)!}\times 0.8076^3 \times ( 0.1924) ^ {0}[/tex]

[tex]P( Y = 2 \ or \ 3) =0.3764600911 +0.526731063[/tex]

P( Y = 2 or 3) = 0.9031911541

P( Y = 2 or 3) ≅  0.9032

Answer:

x = 2.5

Step-by-step explanation:

y varies directly with x means the times that y increases, the times x increases and vice versa.

If y increases from 3/5 to 12 is being increased:

12 / 3/5 = 20 times

Thus, the value of x is being increased by definition, also 20 times. The value of x is:

x = 0.125 * 20 = 2.5

Answer:

A point travels East 3 spaces and South 8 spaces.

Algebraic equation

[tex]P'(x,y) = (x+3, y-8)[/tex]

Step-by-step explanation:

From the viewpoint of Linear Algebra, the description can be described by means of translation, which is defined as:

[tex]P'(x,y) =P(x,y) +T(x,y)[/tex] (1)

Where:

[tex]P(x,y)[/tex] - Initial position of the traveller, dimensionless.

[tex]T(x,y)[/tex] - Translation vector, dimensionless.

[tex]P'(x,y)[/tex] - Final position of the traveller, dimensionless.

Let suppose that [tex]y > 0[/tex] represents the number of steps to the north, and [tex]x> 0[/tex], the number of steps to the east.

If we know that [tex]P(x,y) =(x,y)[/tex] and [tex]T(x,y) = (3, -8)[/tex], then the resulting equation is:

[tex]P'(x,y) = (x,y) +(3,-8)[/tex]

[tex]P'(x,y) = (x+3, y-8)[/tex]

Answer: The answer is 9+11s :)

Step-by-step explanation:

Combine like terms

9+18s-7s

9=11s  so I don't what you mean but in case you want to find  s it will be

11  11

S=9/11

Answer:

III. Functions f and g are inverse functions.

Step-by-step explanation:

Answer:

None of statements are true

Step-by-step explanation:

Answer:

Half of three fourths is 3/4 divided by 2.

As 2 is 2/1 3/4 divided by 2 is equivalent to 3/4 * 1/2.

This will give you the answer 3/8.

Half of three fourths is 3/8.

Step-by-step explanation:

Answer: 14/15.

Step-by-step explanation:0.9333333333 but in decimal form its 14/15

Answer:

the answer in the photo, look at it