Pythagorean Theorem finding value in x

Answer:

16 2/25

Step-by-step explanation:

1608 / 10^2

1608/100

16 8/100

16 4/50

16 2/25

Answer:

1.608

Step-by-step explanation:

1608 ÷ 1000 = 1.608

Answer:

B

Step-by-step explanation:

Area = length times width, in this case, both length and width is x.

While 5 and 2 are the lengths and widths for the unshaded part.

x^2 = whole square

x^2 - (5)(2) = area of shaded region

Answer:

5 out of seven is  71%

THank Go oGle

Answer:

look at the picture I have sent

Answer:

1.3

Step-by-step explanation:

First you simplify 2 3/5, which can be 2.6. You will find half of it so 2.6 divided by 2 equals 1.3. She traveled 1.3 miles or 1 3/10 miles before she stopped.

Answer:

its    -$3.17

Step-by-step explanation:

500-5=495

200-5=195

the remainder of the tickets is -$5

the expected value is $495 x 1/600 + $ 19583/600 + (-$5) 596/600= -$3.17

Answer:

A.

Step-by-step explanation:

i pretty sure

I'm fully sure but maybe you add 12+40

Answer:

48 minutes

Step-by-step explanation:

4.5/3 = 1.5

1.5 x 32 = 48

Answer:

I believe it is C

Step-by-step explanation:

Sorry if I got it wrong but hopefully you got it right

Answer:

Total cost= $86.25

Step-by-step explanation:

Giving the following information:

Discount= 10%

Nill= $82.5

Tip= 15%

First, we need to calculate the discounted price:

Discount price= 82.5 / 1.1= $75

Now, the tip:

Tip= 75*0.15= $11.25

Finally, the total cost:

Total cost= 75 + 11.25

Total cost= $86.25

Answer: 6472

Step-by-step explanation:

You have to multiply and add

Answer:

The recursive formula for this arithmetic sequence would be [tex]a_{1} = 37[/tex], [tex]a_{i} = a_{i-1} + 30[/tex].

Step-by-step explanation:

A recursive formula is a formula that defines each term of a sequence using the preceding term(s). Recursive formulas must always state the initial term, or terms, of the sequence, as well as an equation defining [tex]a_{i}[/tex] in terms of preceding terms. Since the first term of this sequence is 37, that means [tex]a_{1} = 37[/tex]. The pattern in this arithmetic sequence between each term in ascending order would be 30 more than the previous term, so you can create the function [tex]a_{i} = a_{i-1} + 30[/tex]. So the recursive formula for this arithmetic sequence would be [tex]a_{1} = 37[/tex] and [tex]a_{i} = a_{i-1} + 30[/tex].

Answer:

1 1/5 in fraction form :))

Answer:

4/7 = 8/14

Step-by-step explanation:

Answer:

7

Step-by-step explanation:

[tex]\frac{4}{x} =\frac{8}{14} \\[/tex]

cross multiply

8x = 14 x 4

8x = 56

x = 7

Answer:

2 + 1 1/3x ≥ 6

x ≥ 3 days

Step-by-step explanation:

Monday = 2 miles

Other days = 1 1/3 miles

x = least number of days after Monday that Joseph needs to run

to reach his goal

Total miles = 6 miles

The inequality is

2 + 1 1/3x ≥ 6

1 1/3x ≥ 6 - 2

1 1/3x ≥ 4

4/3x ≥ 4

Divide both sides by 4/3

4/3x ÷ 4/3 ≥ 4 ÷ 4/3

x ≥ 4 × 3/4

x ≥ 3 days

Answer:

Whats the question and if its adding the answer is 790.12

Step-by-step explanation:

Also, if you could answer my question that'dd be great!

Answer:

75°

Step-by-step explanation:

The chord- chord angle is half the sum of of the arcs intercepted by the angle and its vertical angle, then

∠ 1 = [tex]\frac{1}{2}[/tex] (110 + 40)° = 0.5 × 150° = 75°

Answer:

81/792 or 9/88 or 10.2%

Step-by-step explanation:

Possibility: nCr(12,5) = 792
Red: nCr(3,2) = 3
Blue, Green, White: nCr(3,1) = 3

3 * 3 * 3 * 3 = 81

81/792 simplified is 9/88 percentage is 10.22%

The probability that Jamal will catch 2 red balls and 1 ball of each of the other colors is 0.1025.

Probability is the branch of Mathematics that deals with the measurement of the chance of occurrence of a random event.

The probability of any event always lies in the close interval of 0 and 1 [0,1].

The zero value of probability indicates that the event will not happen while its value equal to one indicate that it will happen.

The total numbers of balls are 12.

Each color has 3 balls.

If total 12 balls are tossed, the number of ways of catching 5 of them is,

¹²C₅ = 792

The number of ways of catching 2 red balls out of 3 is ³C₂ = 3

The number of ways of catching 1 green ball out of 3 is ³C₁ = 3

The number of ways of catching 1 blue ball out of 3 is ³C₁ = 3

The number of ways of catching 1 white ball out of 3 is ³C₁ = 3

Thus, the probability as per the question is given as follows,

(3 × 3 × 3 × 3)/792

= 81/792

= 0.1025

Hence, the probability of catching 2 red balls and 1 ball of each of the other colors is 0.1025.

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Answer:

[tex](x-7)^2+y^2=1[/tex]

Step-by-step explanation:

Hi there!

Equation of a circle: [tex](x-h)^2+(y-k)^2=r^2[/tex] where the circle is centered at (h,k) and the radius is r

1) Plug in the given center (7,0)

[tex](x-7)^2+(y-0)^2=r^2\\(x-7)^2+y^2=r^2[/tex]

2) Plug in the radius (1)

[tex](x-7)^2+y^2=1^2\\(x-7)^2+y^2=1[/tex]

I hope this helps!

Answer:

C) 24>x

Step-by-step explanation:

The inequality is just turned around. 24>x is thw same thing as x<24.

Hope this helped :)

Answer:

D

Step-by-step explanation:

x+3≥12

<=> x≥8

so 8 is less than x

x is less than 24 means 24>8 but in this case we must follow a model so x is less than 24 can be write 24≥x (read x is less than 24 or is equal to 24)

Answer: 1/8

Step-by-step explanation:

1/2 x 1/4 = 1 x 1/2 x 4

Answer:

Step-by-step explanation:

x-y=14

x-1/3y=1/10

-y=14-x

y=-14+x

take out the factors

x-10/30y=3/30

30x-10y=3

substitute

30x-10(-14+x)=3

30x+140-10x=3-140

20x/20=-137/20

x=-6.85

y=-14+(-6.85)

y=-20.85

The two numbers are 143/20 and 423/20.

A system of linear equations consists of two or more equations made up of two or more variables such that all equations in the system are considered simultaneously. The solution to a system of linear equations in two variables is any ordered pair that satisfies each equation independently.

Given that, the difference between two numbers is 14.

Let the smaller number be x and the larger number be y.

Here, y-x=14 ------------(i)

If 1/3 of the larger number is subtracted from the smaller number ,the result equals 1/10.

1/3 of larger number is 1/3 y

x-y/3 =1/10 ------------(ii)

From equation (i), substitute y=14+x in equation (ii), we get

x-(14+x)/3 =1/10

10(3x-14-x)=3

30x-140-10=3

20x-140=3

20x=143

x=143/20

Substitute x=143/20 in equation (i), we get

y-143/20=14

y=14+143/20

y=(280+143)/20

y=423/20

Therefore, the two numbers are 143/20 and 423/20.

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Answer:

Step-by-step explanation:

4²=16

5²=25

so √24 is between 4 and 5.

Answer:

B-10⁰

Step-by-step explanation:

5 x 10 is 50, 4 x 10 is 40, add those and you get 90⁰

Answer:

x = 4 units

Step-by-step explanation:

By geometric mean theorem:

Length of perpendicular

[tex] =\sqrt{2\times 6}[/tex]

[tex] =\sqrt{12}[/tex]

Next, by Pythagoras theorem:

[tex] x^2 = 2^2 + (\sqrt {12})^2 [/tex]

[tex] \therefore x^2 = 4 + 12 [/tex]

[tex] \therefore x^2 = 16 [/tex]

[tex] \therefore x =\sqrt{ 16 }[/tex]

[tex] \therefore x =4\: units[/tex]

Answer:

Point N(4, 1)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Equality Properties

Algebra I

Calculus

Derivatives

Derivative Notation

Derivative of a constant is 0

Basic Power Rule:

Derivative Rule [Chain Rule]:                                                                                    [tex]\displaystyle \frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)[/tex]

Step-by-step explanation:

Step 1: Define

[tex]\displaystyle y = \sqrt{x - 3}[/tex]

[tex]\displaystyle y' = \frac{1}{2}[/tex]

Step 2: Differentiate

Step 3: Solve

Find coordinates

x-coordinate

y-coordinate

∴ Coordinates of Point N is (4, 1).

Topic: AP Calculus AB/BC (Calculus I/II)

Unit: Derivatives

Book: College Calculus 10e

Answer:

there should be 4 points below the trend line

Step-by-step explanation:

4