Determine the missing length in each right triangle using the Pythagorean theorem. Round the answer to the nearest tenth, if necessary.

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Explanation:

Multiply the denominators to get 3*4 = 12. We'll use this value to set up the number of slices we start with.

If we started with 12 slices, then 1/3 of this is (1/3)*12 = 4 slices. So Carlos ate 4 slices. There are 12-4 = 8 slices left.

1/4 of that value is (1/4)*8 = 2 which is the number of slices given to his friend.

Divide the number of slices given to the friend (2) over the number we started with (12) to get 2/12 = 1/6

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Another approach:

If Carlos ate 1/3 of the full pie, then there are 2/3 of it left.

1/4 of this is (1/4)*(2/3) = (1*2)/(4*3) = 2/12 = 1/6 which represents the fractional amount of the original pie given to the friend.

The conditional probability value rounded to 4 decimal places is : 0.2500

The relation can be used to find the conditional probability of events given :

P(HH | Atleast 1 head) = P(HHn(Atleast 1 H)) / P(Atleast 1 H)

P(Atleast 1 H) = P(HT + TH + HH)

P(Atleast 1 H) = P(HT + TH + HH) = 3(0.25) = 0.75

P(HHn(Atleast 1 H)) = P(HH) × P(Atleast 1 H) = 0.25 × 0.75 = 0.1875

Therefore, the conditional probability can be expressed as :

Therefore, P(HH | Atleast 1 head) is 0.25

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Answer:

$4.59 would be a good estimate for the dessert with 10% tax.

Step-by-step explanation:

10% = 0.10

0.10 + 4.49

Answer:

3/4

Step-by-step explanation:

15/20 dived by 5 is 3/4

Answer:

a

Step-by-step explanation:

it is a thanks

If [tex]f^{-1}(x)[/tex] is the inverse of [tex]f(x)[/tex], then

[tex]f\left(f^{-1}(x)\right) = x[/tex]

by definition of inverse function. We have

[tex]f\left(f^{-1}(x)\right) = 2f^{-1}(x) + 10 = x[/tex]

Solve for the inverse :

[tex]2f^{-1}(x) + 10 = x \\\\ 2f^{-1}(x) = x-10 \\\\ \boxed{f^{-1}(x) = \dfrac{x-10}2}[/tex]

Answer:

a. pants + tax + drink ≤ 60 b. $56.16

Step-by-step explanation:

60-1.5 = 58.5 = money left for pants+tax

58.5/100 = 0.585 = 1%

0.585x 4= $2.34 = highest possible tax

58.5 - 2.34 = $56.16 most

pants + tax + drink ≤ 60

Answer:

c but the real answer is 2/25

Step-by-step explanation:

Answer:

The rectangle above shows its dimensions. Find the perimeter.

First, substitute the values for the width

(W)

and the length

(L)

into the perimeter formula.

P=2(12)+2(9)

Next, complete the multiplication and addition to find the perimeter.

PPP===2(12)+2(9)24+1842

The answer is 42.

The perimeter of the rectangle is 42 inches.

Area is the amount of square units inside the figure. Area is found by multiplying the

length×width

. The formula for finding the area of a rectangle is:

A=L×W

You can use the dimensions from the rectangle above to find the area of this rectangle.

First, fill the values for

L

and

W

into the formula for area.

AA==L×W12×9

Next, solve for the area by multiplying.

AA==12×9108

The answer is 108.

The area of the rectangle is

108 in2

.

Notice that the unit of measurement for area is squared. That is because you multiplied a unit measure times itself:

in×in=in2

. Area is always written in square units.

You can also find the perimeter and area of a square. Remember that a square has four equal sides given the symbol

s

. You can use the following formula for finding the perimeter of a square:

P=4s

Let’s look at an example.

A rectangle has a length of 12 feet and a perimeter of 72 feet. Write and solve an equation to determine the width of the rectangle.

First, substitute the values for the perimeter

(P)

and the length

(L)

into the perimeter formula.

72=2(12)+2W

Next, complete the multiplication.

72=24+2W

Then, subtract 24 from both sides to get your variable alone on the right side.

72−2448==24−24+2W2W

Then, multiply both sides by the reciprocal of 2 to isolate your variable.

12×481482W===12×2W1W24

The answer is 24.

The width of the rectangle is 24 feet.

The width of the rectangular garden is 5 2/3 feet

We have the following information available from the question is:

The area of a rectangle is 53 5/6 square feet

and, the length (L) of the garden is 9 1/2 feet

We have to find the width (W) of the rectangle.

Now, According to the question:

We know that :

The area of rectangle = L × W

Plug all the values in above formula:

53 5/6 = 9 1/2 × W

323/6 = 19/2 × W

[tex]W=\frac{323(2)}{6(19)}[/tex]

W = 17/3

17/3 as a mixed number would be 5 2/3.

Hence, The width of the rectangular garden is 5 2/3 feet

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Out of the weekly amount that Shashi Rimoko makes, a deduction of $37.93 is made for insurance.

The total Medical cost is $9,560 and out of this, the amount paid by Shashi per year is:

= Amount x (1 - percentage paid by restaurant)

= 9,560 x ( 1 - 80%)

= $1,912

The amount he pays for Dental coverage is:

= Amount x (1 - percentage paid by restaurant)

= 172 x (1 - 65%)

= $60.20

The total amount he pays for insurance per year is:

= Medical + Dental

= 1,912 + 60.20

= $1,972.20

The weekly deduction is:

= Year amount / No. of weeks in year

= 1,972.20 / 52

= $37.93

In conclusion, $37.93 is deducted from his paycheck every week.

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25% of 60 is 15

If divide 15 by 60 we find that it is eqyivalent to the ratio of 1/4. 1/4 is the same as 25%.

Answer:

25%

Step-by-step explanation:

25% means one fourth. 15 is exactly 1/4, or 25% of 60.

Hope it helps you! :)

[tex]GraceRosalia[/tex]

Answer:

I believe your answer should be B.) I hope this helps! :D

Answer:

1.5

Step-by-step explanation:

To find the employee's regular earnings, multiply their regular pay rate ($12) by 40 hours. Next, calculate the employee's time and a half pay rate. Multiply 1.5 by the employee's regular rate of pay.

Answer:

480 would be your answer

Step-by-step explanation:

Answer:

La raíz cuadrada de cualquier número se puede expresar usando la fórmula: √y = y½.

Answer:

To find the Y-intercept substitute in 0 for all the x's and solve for Y

Your answer would be (0,9/2)

Steps:

Y=0^2-5(0)+9/2

0^2 -5(0)=0

Y=9/2

0 is your x place

and 9/2 is your Y intercept

Answer:

y-intercept = 9/2 or 4.5

Step-by-step explanation:

In the given quadratic equation, y = x² - 5x + 9/2, where:

a = 1, b = -5, and c = 9/2  

The y-intercept is the point at which the parabola crosses the y-axis, and occurs at point (0, c ).  It is the value of y when x = 0. To find out what I mean by this, we can substitute the value of x = 0 into the quadratic equation:

y = x² - 5x + 9/2

y = (0)² - 5(0) + 9/2

y = 0 - 0 + 9/2

y = 9/2

Therefore, the y-intercept (c) = 9/2, and has coordinates, (0, 9/2) or (0, 4.5).

Attached is a screenshot of the graph, where it shows the y-intercept.  

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Answer:

The length of side A'D' is 4 units.

The length of side AD is 8 units.



The image is larger than the pre-image.

The correct answers are B, C, and D



Answer:

The correct answer is A B E

Step-by-step explanation:

The length of side AD is 8 units.

The length of side A'D' is 4 units.
The scale factor is 1/2.

Answer:

2x+3x+x= 180

6x= 180

x=180/6=30

<DBE = 3x = 3*30 = 90

Step-by-step explanation:

Pls mark as brainliest

Income tax is calculated based on: A. gross income minus deductions

Therefore, income tax is calculated based on: A. gross income minus deductions

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Answer:

The answer is A. Gross income minus deductions

Step-by-step explanation

I looked it the answer and read through the notes to find my answer

Answer:

I am guessing B

Step-by-step explanation:

When I divided 10 by 11 it gave me 0.90 but when I did 3 by 3.75 I received 0.8

Answer:

B)

Step-by-step explanation:

3.75 ÷ 3 = 1.25 for U Rule.

11 ÷ 10 = 1.1 for Daren's.

-kiniwih426

Answer:

the answer would be senior citizens

Step-by-step explanation:

this is because usually out of all the options, senior citizens are the only one that are retired

The most desired attributes of a retirement home must be determined via a questionnaire. The group that should be targeted to answer the questionnaire is senior citizens. The correct option is D.

Retirement plans are plans that are made for old people and people that are not working currently. As these people are not working they need money for their lives, but as they are not working, the retirement plans are used for money at that time of life.

These plans are taken at a young age and this money is saved for future or old times. As he is asking survey of a retirement community, senior citizens are the best.

The retirement community belongs to elders and senior citizens who are retired.

Thus, the correct option is D. senior citizens.

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Answer:

y = 20.39x - 51.526

Step-by-step explanation:

y2 - y1 / x2 - x1

64.7 - 17.8 / 5.7 - 3.4

46.9/2.3

= 20.39

y = 20.39x + b

17.8 = 20.39(3.4) + b

17.8 = 69.326 + b

-51.526 = b

Translation involves changing the position of a point in the coordinate plane.

The coordinate of  the translated point A' is (D) (0,0)

The coordinate of the point is given as:

[tex]A = (-9,-1)[/tex]

The rule of translation 9 units right, and 1 unit up is:

[tex](x,y) \to (x+9,y+1)[/tex]

So, we have:

[tex]A' = (-9+9,-1+1)[/tex]

Simplify the expression

[tex]A' = (0,0)[/tex]

Hence, the coordinate of  the translated point A' is (D) (0,0)

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If the coordinate is translated 9 units right and 1 units up, the resulting coordinate will be at (-9 + 9, -1 + 1) which is A'(0, 0). Option D is correct

Given the coordinate point A (x, y),  if the coordinate is translated a unit right and b units up, the resulting coordinate will be at (x + a, y + b)

Note that both values are added to the coordinate points.

Given the coordinate point A (-9, -1), if the coordinate is translated 9 units right and 1 units up, the resulting coordinate will be at (-9 + 9, -1 + 1) which is A'(0, 0)

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Answer:

A = 29/51   B = 22/51

Step-by-step explanation:

(E) =  number of favorable outcomes/ total number of possible outcomes

- number of possible outcomes= 51

- number of favorable outcomes= 29

therefore, P(E) = 29/51

- number of possible outcomes= 51

- number of favourable outcomes = 51 - 29 = 22

therefore, P(E)= 22/51

Answer:

-30

Step-by-step explanation:

Used a calculator lol

Answer:

Step-by-step explanation:

As DF is perpendicular to EG and DG = FG, then the two triangles are congruent and therefore DE will equal FE

DE = FE

3v = v + 48

2v = 48

  v = 24

Answer:

For the first one is 75 and 30 looks on a calculator add 75+75+30=180

Answer:

∠5 = 80

Step-by-step explanation:

∠4 =  ∠2         {Corresponding angles are equal}

∠4 = 100

∠5 + ∠4 = 180 {linear pair}

∠5 + 100 = 180

          ∠5 = 180 - 100

         ∠5 = 80