Use the Pythagorean Theorem to solve for the value of x

Answer:

The perimeter of a circle is calculated with 2πr

The r stands for radius. The radius is half of the diameter.

So r=2.25

Plug it in 2π(2.25)

It was simplify to 4.5π

Which would simplify down to 14.14 miles rounding to the nearest hundredth.

Answer:

1. 3 + 2 = 2 + 3

2. 5 + 2 = 3 + 4

3. 6 + 0 = 3 + 3

4. 8 + 2 = 9 + 1

5. 2 + 2 = 4 + 0

6. 5 + 3 = 6 + 2

u basically just fill in the blank with a number that would add up to the number u already have that would equal the same as the other side. also pls give brainliest haha

A geometric series is one in which there is a constant between two successive numbers in the series.

When there is a constant between the two successive numbers in the series then it is called a geometric series. In other words, every next term is multiplied by that constant term to form a geometric progression.

The sequence in which every next number is the addition of the constant quantity in the series is termed the arithmetic progression

Suppose the series is given as

2,4,8,16,32,64.........

The common difference is defined as the ratio of the next term to the previous term.

From the above series, the common ratio is calculated as,

Common ratio = 4 / 2

Common ratio = 2

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The expression to model the problem is \(\frac{2}{3}\) ÷ 12, and the solution is 1/18.

Expressions are mathematical statements which consist of two or more terms and terms are connected to each other using mathematical operators like addition, multiplication, subtraction and so on.

Total fraction of grains Alexis has = 2/3 pounds

Grains used to feed 12 chickens = 2/3

Grains used to feed 1 chicken = (2/3) / 12

                                                  = \(\frac{2}{3}\) ÷ 12

Using the reciprocal rule,

Grains used to feed 1 chicken = \(\frac{2}{3}\) × \(\frac{1}{12}\)

                                                  = 1/18

Hence the amount of grains for 1 chicken is 1/18.

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Answer: 0.6812

Step-by-step explanation:

Let p be the population proportion of trees are infested by a bark beetle.

As per given: p= 12%= 0.12

Sample size : n= 1000

Number of trees affected in sample = 1000

Sample proportion of trees are infested by a bark beetle. = \(\hat{p}=\dfrac{127}{1000}=0.127\)

Now, the z-test statistic : \(z=\dfrac{\hat{p}-p}{\sqrt{\dfrac{p(1-p)}{n}}}\)

So, \(z=\dfrac{0.127-0.12}{\sqrt{\dfrac{0.12\times 0.88}{1000}}}\)

\(z=\dfrac{0.007}{\sqrt{\dfrac{0.1056}{1000}}}\\\\\\=\dfrac{0.007}{\sqrt{0.0001056}}\\\\\\=\dfrac{0.007}{0.010276}\approx0.6812\)

Hence, the value of the z-test statistic = 0.6812 .

Answer:

0.70

Step-by-step explanation:

The measure of angle BAE is equal to the sum of the measures of angles ABC and ACD, or 120°.

Since ABCD and AED are both plane figures and share AD, the measure of angle BAE must be equal to the measure of angle BCD. Angle BCD is the exterior angle of triangle ABC, so the measure of angle BCD is equal to the sum of the measures of angles ABC and ACD. Therefore, the measure of angle BAE can be calculated using the formula:

m∠BAE=m∠ABC+m∠ACD

Since triangle AED is equilateral, all three angles are equal to 60°. Therefore, the measure of angles ABC and ACD are both equal to 60°. Therefore, the measure of angle BAE is equal to the sum of the measures of angles ABC and ACD, or 120°.

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Answer:

it's 13

√144+25=13

good luck

Answer:

3 (4x - 5) You would expand the expression, by factoring 3 out of each of the numbers.

Answer:

First investment = $3100

Other investment =  $3600

Step-by-step explanation:

Total investment made by Henry = $6700

Let one investment be x,

Then other investment = total investment - first investment = 6700 - x

A) For 8% interest, investment = x

dollar value of 8% investment = 8/100*x= 8x/100

A) For 5% interest, investment = 6700- x

dollar value of 8% investment = 5/100*(6700- x)= 5(6700- x)/100

Total return on both the investment =  8x/100 + 5(6700- x)/100

  = (8x +33500 - 5x)/100 = (3x+33500)/100

Given that total return = 428

Therefore,

(3x+33500)/100 = 428

=>  3x+33500 = 428*100 = 42800

=> 3x = 42800- 33500 = 9300

=> x = 9300/3 = 3100

Thus, first investment = x = $3100

other investment =  $(6700 - 3100) = $3600

Answer:

¾(y + 3) + 9w

Step-by-step explanation:

Let's write it step by step:

Step 1: Three fourths of the sum of y and 3 is; ¾(y + 3)

Step 2: plus the product of 9 and w is;

¾(y + 3) + 9w

Thus,the final algebraic expression of the statement given in the question is;

¾(y + 3) + 9w

\(\displaystyle\bf\\a_{35}=57\\r=5\\----\\a_1=?\\S_{61}=?\\----\\Solve:\\1)\\a_1=a_{35}-(35-1)\times r=57-34\times 5=57-170=-113\\\boxed{\bf a_1=-113}\\\\\)

.

\(\displaystyle\bf\\2)\\A_{61}=a_1+(61-1)\times r=-113+60\times5=-113+300=187\\\\S_{61}=(-113)+(-108)+(-103)+...+(-8)+(-3)+2+7+12+...+187\\\\S_{61}=SA+SB\\\\SA=(-113)+(-108)+(-103)+...+(-8)+(-3)=-(3+8+103+108+113)\\\\n=\frac{113-8}{5}+1=\frac{105}{5}+1=21+1=22~terms\\SA=-\Big( \frac{n(113+3)}{2} \Big)=-\Big( \frac{22\times116}{2} \Big)=-11\times116 =-1276\)

.

\(\displaystyle\bf\\SB=2+7+12+...+187\\\\n=\frac{187-2}{5}+1=\frac{185}{5}+1=37+1=38~terms\\\\SB=\frac{n(187+2)}{2}=\frac{38\times189}{2}=19\times189=3591\\\\S_{61}=SA+SB=-1276+3591=2315\\\\\boxed{\bf S_{61}=2315}\)    

Answer:

5

Step-by-step explanation:

Answer:

(−∞,−7/2)∪(−7/2,3)∪(3,∞)

Step-by-step explanation:

(x-3)

----------------

2x^2 +x -21

First factor the denominator

(x-3)

----------------

( 2x +7) (x-3)

The domain is restricted when the denominator goes to zero

2x+7 =0    x-3 =0

2x = -7     x-3=0

x = -7/2    x =3

This two points are not in the domain

(−∞,−7/2)∪(−7/2,3)∪(3,∞)

The Length of the rod is 3/5 meters.

The civil engineer wants to find the length of a rod that stretches for 1 meter and can be given by the function x=2y^(3/2).

To find the length of the rod, we need to integrate the function x=2y^(3/2) with respect to y. Integrating both sides of the equation,

we have:'int dx = int 2y^(3/2) evaluating the left-hand side gives x = 2/5 y^(5/2) + C, where C is the constant of integration. To find the value of C,

we use the given information that the rod stretches for 1 meter. At y = 0, x = 0 since the rod has no length when it is not stretched. At y = 1, x = 1 since the rod stretches for 1 meter.

Therefore, we have:1 = 2/5 (1)^(5/2) + C1 = 2/5 + CC = 3/5 Substituting C = 3/5 back into the equation for x,

we have:x = 2/5 y^(5/2) + 3/5

The length of the rod is given by the value of x when y = 1. Substituting y = 1,

we have:x = 2/5 (1)^(5/2) + 3/5 = 3/5

The length of the rod is 3/5 meters.

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Answer:

its D

Step-by-step explanation:

calculator

The area of the sector in terms of π is 35.6π inches squared.

The area of the sector is approximately  111.6 inches square

The area of sector of a circle is the amount of space enclosed within the boundary of the sector.

Therefore,

area of a sector = ∅ / 360 × πr²

where

Therefore,

∅ = 200 degrees

r = 8 inches

area of the sector = 200 / 360 × 8²π

area of the sector = 200 / 360 × 64π

area of the sector =12800π/  360

area of a sector = 35.6π inches squared

Let's find the area of the sector with π = 3.14

area of a sector = 35.6 × 3.14 = 111.6 inches square

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Therefore, solution of equation problem is the hairstylist could cut 20 adult haircuts and 10 child haircuts to meet her goals.

In mathematical formulas, the identical indicator (=) is used to denote that two assertions are the same. Many academic numbers are shown to be equivalent using mathematical equations, which are known as assertions. For instance, the equal symbol, including the integers 12 and b + 6, divides the equation y + 6 = 12 into two pieces. It is possible to calculate how many lines each part of a symbol represents. The significance of a symbol usually contradicts itself.

Here,

We can find two points that satisfy the hairstylist's constraints by solving the system of inequalities represented by the graphs:

x + y ≤ 30 (maximum of 30 haircuts)

15x + 9y ≥ 360 (minimum earnings of $360)

x + y = 20 + 10 = 30 ≤ 30

15x + 9y = 15(20) + 9(10) = 300 + 90 = 390 ≥ 360

Therefore, the hairstylist could cut 20 adult haircuts and 10 child haircuts to meet her goals.

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The LCM of A = 3² × 5⁴ × 7 and B = 3⁴ × 5³ × 7 × 11 is 3898125 using Prime factorization.

Given are two numbers which are showed in the prime factorized form.

A = 3² × 5⁴ × 7

B = 3⁴ × 5³ × 7 × 11

Prime factorization is the factorization of a number in terms of prime numbers.

In order to find the LCM of these two numbers, we have to first match the common primes and write down vertically when possible and then bring down the primes in each column.

A = 3² ×         5³ × 5 × 7

B = 3² × 3² × 5³ ×       7 × 11

Bring down the primes in each column.

LCM = 3² × 3² × 5³ × 5 × 7 × 11

        = 3898125

Hence the LCM is 3898125.

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There are four solutions to the the nonlinear system.

A nonlinear function is one that is not linear, as its name suggests. Alternatively put, a nonlinear function's graph is NOT a line. To put it another way, its graph is not limited to a line. A function whose graph DOES NOT LOOK LIKE A STRAIGHT LINE is considered nonlinear. Any curve, save a straight line, may be the graph of it. This condition can be approximated by the function f(x) = 100 (2)x, for instance, if there are originally 100 fish in a pond and they double every week. The formula f(x) = ax + b denotes a linear function. Given that a nonlinear function is one that is not linear, anything that is NOT of the form f(x) = ax+b can be used as the equation for a nonlinear function.

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The triangle ABC drawing, which has vertices at A (1,6), B (1,1), and C (5,1) is shown below.

A triangle is the most basic form for a polygon with three sides and three vertices. Triangles are divided into various groups using their sides and angles. The triangle's total angle is always equal to 180 degrees, which is an interesting triangle fact (straight angle).

It is common knowledge that a triangle is a type of polygon with three edges and three vertices.

A, B, and C are frequently used to denote its vertices, making it one of the most important shapes in geometry.

A (1,6), B (1,1), and C (5,1) will be picked as the points. 〖〖AB〗^2+ 〖BC〗^2= AC〗^2

Hence, the image of the triangle ABC's design, which has vertices at A (1,6), B (1,1), and C (5,1) is linked above.

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Answer:

9.95h + 5  ≤ 125

Step-by-step explanation:

let 'h' = number of hats

Answer:

1. 15x + 10y=-11

15x + 10y + 11=-11 + 11

15x + 10y + 11 = 0

2. -9x + DT = 19

-9x = 19 - DT

x = 19/9 + 1/9DT

x = 19/9 + 1/9DT, D∈ℝ, T∈ℝ

Answer: D

Step-by-step explanation:

 2x + (2x +4 ) =40

x= 9

2(9) +4 =22

ANSWER

C = 12p + 3

EXPLANATION

We want to find the equation that represents the cost of having a number of pizzas delivered.

The pizzeria charges $12 per pizza. This means that for p pizzas, the charges will be:

Charges = 12 * p

Charges = 12p

The total cost is the sum of the pizza charges and the delivery charges. That is:

That is the equation.

Answer:

\(y = - 3 + \frac{1}{2} xxer\)

Step-by-step explanation:

move variable to the right-hand side and change its sign

\( - 6y = 18 - 3x \)

divide both sides of the equation

\(y = 3 + \frac{1}{2} x\)

Answer: GCF(8,10) = 2

Step-by-step explanation:

Factors of 8

1, 2, 4

Factors of 10

1, 2, 5