Find the missing side lengths

Answer:

radius = circumference / (2 * PI)

radius = 5.8378033126

Circle Area = PI * radius^2

Circle Area = PI * 5.8378033126^2

Circle Area = PI * 34.0799475167

Circle Area = 107.07 square units

Step-by-step explanation:

Answer:

j=90 B=34 C=108

Step-by-step explanation:

if you know that the value of B=34 and the value of A= 38 and the sum of angles of the triangle =180 therefore C=180-(34+38)=108

i believe the answer is D.) 1 over 8

Explanation: 4 is one of the 8 numbers so it would be a 1 over 8 chance.

Which would mean that 540 people died or left the town.

I hope that this helps! :D

Answer:

x=13

Step-by-step explanation:

x+2x=3x

-6+9+-19=-16

3x-16=23

+16     +16

3x=39

divide by 3 on both sides.

x=13

a=180-142=38 degree

b= 180-38-88=54 degree

c=b (since the two lines are parallel to each other) therefore c=54 degree

See the attached picture:

Answer:

5/6

Step-by-step explanation:

The ratio is:

45 / 54

Or, reduced:

5 / 6

The ratio of boys to girls in the senior class of the school is 45:54.

The question is asking to find the ratio of boys to girls in a senior class. Since the class has 45 boys and 54 girls, the ratio is typically written in the simplest form as 'boys: girls'. The given figures are in simplest form because they do not have a common factor other than 1. Therefore, the ratio of boys to girls in the senior class is 45:54.

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Answer:

The answer in the procedure

Step-by-step explanation:

we have

[tex]\pi=3.14[/tex]

[tex]r=1\ units[/tex]

[tex]h=2\ units[/tex]

case a) If the expression is

[tex]\pi r^{2} h[/tex]

then

substitute

[tex](3.14)(1)^{2} (2)=6.28\ units^{3}[/tex]

Round to the nearest whole number

[tex]6.28=6\ units^{3}[/tex]

case b) If the expression is

[tex](1/3)\pi r^{2} h[/tex]

then

substitute

[tex](1/3)(3.14)(1)^{2} (2)=2.09\ units^{3}[/tex]

Round to the nearest whole number

[tex]2.09=2\ units^{3}[/tex]

Answer:8 inches

Step-by-step explanation:304/38 = 8 inches

Answer:

The solutions are

[tex]x=-8\\x=-1[/tex]

Step-by-step explanation:

We must solve the equation:

[tex]x^2+9x+8=0[/tex]

To solve the equation we can use the factoring method.

To factor the expression, look for two numbers that when you add them, get the result 9 and when multiply them, get the result 8.

You can verify that the numbers that meet this requirement are: 8 and 1.

Then the polynomial factors are:

[tex](x + 8) (x + 1)[/tex]

So

[tex]x^2+9x+8=(x + 8) (x + 1) = 0[/tex]

Then

[tex]x+8= 0[/tex]   or  [tex]x+1 =0[/tex]

[tex]x=-8[/tex] or  [tex]x= -1[/tex]

Answer:

x = -1 or x = -8

Step-by-step explanation:

It is given the function

x² + 9x + 8 = 0

To find the solution of given function

x² + 9x + 8 = 0

By using splitting method we can write,

x² + x + 8x + 8 = 0

x(x + 1) + 8 (x + 1) = 0

(x + 1)(x + 8) = 0

x+ 1 = 0   or x + 8 = 0

x = -1 or x = -8

Answer:

A

Step-by-step explanation:

The amount that David must have in the bank would be $783243.6

An annuity is a series of payments made at equal period of time.

We need to apply the formula for determining present annuity. It is expressed as

PV = R[1 - (1 + r)^- n]r

Where, PV represents the present value of the investment.

R represents the regular payments made(could be weekly, monthly)

r = represents interest rate/number of interval payments.

n is the total number of payments made.

From the information given;

r = 1.5/100 = 0.015

n = 30 years

R = $32,635.15

Therefore,

PV = 32635.15[1 - (1 + 0.015)^- 30]/0.015

PV = 32635.15[1 - (1.015)^- 30]/0.015

PV = 32635.15[1 - 0.64]/0.015

PV = 32635.15[0.36]/0.015

PV = 32635.15 × 24

PV = $783243.6

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Answer:

False

Step-by-step explanation:

If both lines are linear, they can only have 0, 1 or infinite solutions. If one was a quadratic function, they would intercept twice.

Answer:

40

Step-by-step explanation:

The range is the difference between the largest value and the smallest value in the data set.

minimum value = 21 and maximum value = 61

range = 61 - 21 = 40

Answer: Range of the data set would be 40.

Step-by-step explanation:

Since we have given the data set as follows:

21,23,28,28,52,54,56,56,57,60,61,61.

We need to find the range of the data set.

As we know the formula for "Range":

Range = Highest number - Lowest number

Range = 61-21

Range = 40

Hence, range of the data set would be 40.

Answer:

2x² - 2x + 7

Step-by-step explanation:

Given

(8x² + 9) - (6x² + 2x + 2) ← distribute by - 1

= 8x² + 9 - 6x² - 2x - 2 ← collect like terms

= (8x² - 6x²) - 2x + (9 - 2)

= 2x² - 2x + 7

Answer:

2x² - 2x + 7

Step-by-step explanation:

Ape-x

Answer:

4153. Read the explanation please. There is no point in just reading the answer because the same type of problem can come up in the RSM homework or in a test and you will have no idea how to solve it.

Step-by-step explanation:

Form an equation with the information you know.

1. Moving the last digit, 3, to the first position is the same as doing (x-3)/10 +3000, where x is the original 4-digit number.

    Why it works: This expression works because first, you subtract 3 from the original number. This removes 3 from the last digit, but leaves a zero there. To remove the zero, you divide by 10. Finally, to put the 3 at the first position, you add 3000.

2. Since you know that the number will decrease by 738, you can do the second part of forming the equation. Make the expression equal to x - 738, like so --> (x-3)/10 + 3000 = x - 738

Solve the equation.

3. (x-3)/10 + 3000 = x-73

   (x-3)/10 = x - 3738

   x-3 = 10x - 37380

   x = 10x - 37377

   -9x = -37377

   x = 4153

Well, I've got to get back to my RSM homework. I hope this helped!

P.S.- The next time you have a question, email your RSM teacher (I'm assuming you go to RSM) because he/she is much more qualified then me (I'm only 12) and you don't really know if you can trust people giving you answers on Brainly.com.

Answer: Hope this helps, and hopefully this is what you needed!

1 7/16 = 23/16

11 5/9 = 104/9

30 5/9 = 275/9

10 10/13 = 140/13

24 3/5 = 123/5

129 1/2 = 259/2

Step-by-step explanation:

Answer:

Step-by-step explanation:

tan α=9÷(21/2)=18/21=6/7

α=arc tan(6/7)≈40.6°

Slope equation: y2-y1/x2-x1

7-9/-12-(-10)

-2/-2 = 1

Answer:

Slope = 1

Step-by-step explanation:

(y2 - y1) ÷ (x2 - x1) = (7 - 9) ÷ (-12 - [-10]) = -2 ÷ (-2) = 1

Answer:

No

Step-by-step explanation:

we have the number

[tex]7,027[/tex]

we know that

[tex]7,027=7*1,000+2*10+7*1[/tex]

so

The value of the first 7 is equal to

[tex]7*1,000=7,000[/tex]

The value of the second 7 is equal to

[tex]7*1=7[/tex]

therefore

[tex]7,000/7=1,000[/tex]

The value of the first 7 is one thousand times greater than the second 7

The answer is no

Answer:

5

Step-by-step explanation:

The expression 9 - z evaluates to 5 when z = 4. This is calculated simply by substituting 4 into the equation in place of z, and then performing the subtraction.

The question is asking you to evaluate the expression 9 - z when z = 4. The term 'evaluate' in mathematics means to calculate the numerical value of. So this is a straightforward substitution problem. You take the value of z (which is 4) and substitute it into the equation in place of z. So, the equation becomes 9 - 4, which equals 5.

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The answer is B.

For an expression to be a polynomial term, any variables in the expression must have whole number powers.

-3/x isn’t a polynomial term because the variable is in the denominator.

Answer:

D

Step-by-step explanation:

it only consists of one term.

Answer:

Mean: 7.1, median: 7, mode: 4

Step-by-step explanation:

The mean, also known as the average, is equal to the sum of all the numbers divided by how many numbers there are.

4 + 8 + 11 + 6 + 4 + 5 + 9 + 10 + 10 + 4 = 71

10 numbers

71/10 = 7.1

The median is the number in the middle of the set.

4, 4, 4, 5, 6, 8, 9, 10 ,10 ,11

6 and 8 are in the middle, and the number between 6 and 8 is 7.

The mode of a set of numbers is the most common number. In this case, the number is 4 as it appears 3 times.

Answer:

25 ft

Step-by-step explanation:

a² + b² = c²

7² + 24² = c²

49 + 576 = c²

c² = 625

c = √625

c= 25

Answer:

D. 25 ft.

Step-by-step explanation:

To find the missing length of any right triangle, you can use the Pythagorean Theorem (A^2+B^2=C^2) to solve. A and B represent the legs (which we do have) and C represents the hypotenuse (which we are trying to find). Insert our known values into the theorem, and we will get 24^2+7^2=C^2. Now we just do the basic math for the numbers that we have (24^2 is 576; 7^2 is 49), and that added up would equal to 625. Now, since C is being squared on the other side, we now have to root both sides. On the side where C is, the radical and the square will cancel out each other, leaving us with just C. But, on the side where 625 is, it should root to 25. Since C is by itself now, the number on the other side (25) will be our answer. Therefore, the missing side is 25 feet long.

Answer:

The mass of the cylinder is [tex]149\ g[/tex]

Step-by-step explanation:

step 1

Find the volume of the cylinder

The volume is equal to

[tex]V=\pi r^{2} h[/tex]

we have

[tex]r=7/2=3.5\ in[/tex] ----> the radius is half the diameter

[tex]h=1.5\ in[/tex]

assume

[tex]\pi=3.14[/tex]

substitute

[tex]V=(3.14)(3.5)^{2}(1.5)[/tex]

[tex]V=57.70\ in^{3}[/tex]

step 2

Find the mass

we know that

The density is equal to the mass divided by the volume

[tex]D=m/V[/tex]

Solve for the mass

[tex]m=D*V[/tex]

substitute the values

[tex]m=(2.58)*(57.70)=149\ g[/tex]

Answer:

2441 grams

Step-by-step explanation:

convert 7 and 1.5 inches into centimeters (2.54 centimeters per inch) so now you use half of 8.89 (7 * 2.54 = 2441) multiplied by 3.81

you find the area of the cylinder first by using [tex]\pi r^2*h[/tex] which should give you 945.97219

then plug it into the density formula, 2.58= mass/945.97219

that should give you mass=2440.61

and if you round it to the nearest gram, it's 2441

**THIS IS THE CORRECT ANSWER**

Answer:

2 cows and 5 chickens.

Step-by-step explanation:

NOTE: This will be solved using simultaneous equations.

Let x = cows and y = chickens

1. form two equations

4x + 2y = 18 ... (1)

x + y = 7 .... (2)

2. make y (or x) the subject of one equation

x + y = 7

y = 7 - x ... (3)

3. Substitute (3) into (1)

4x + 2( 7 - x) = 18

4. solve for x

4x + 14 - 2x = 18

2x = 4

x = 2

5. Now substitute x value into equation (2)

x + y = 7

2 + y = 7

y = 5

∴ cows (x) = 2

chickens (y) = 5

The number of cows is 2 and that of chickens are 5

A set of simultaneous equations, also known as a system of equations or an equation system, is a finite set of equations for which common solutions are sought.

Given that, There are 7 animals in a farmer's field. ​Some are cows and some are chickens. ​The farmer counts 18 legs in all.

This will be solved using system of equations.

Let x = cows and y = chickens

4x + 2y = 18 ... (1)

x + y = 7 .... (2)

x + y = 7

y = 7 - x ... (3)

4x + 2(7 - x) = 18

4x + 14 - 2x = 18

2x = 4

x = 2

2 + y = 7

y = 5

Hence, the number of cows are 2 and that of chickens are 5

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Answer:

[tex]y=-1,869.5x+27,995[/tex]

Step-by-step explanation:

Let

x-----> the time in years

y----> value of Zachary’s car in dollars

[tex]A(0,27,995), B(10,9,300)[/tex]

step 1

Calculate the slope

The formula to calculate the slope between two points is equal to

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

substitute

[tex]m=\frac{9,300-27,995}{10-0}=-1,869.50[/tex]

step 2

Find the equation of the line

The equation of the line into slope intercept form is equal to

[tex]y=mx+b[/tex]

we have

[tex]m=-1,869.50[/tex]

[tex]b=27,995[/tex]  -----> the y-intercept is the point A

substitute

[tex]y=-1,869.5x+27,995[/tex]

The linear equation to represent the value of Zachary's car after x years since its purchase is y = -1869.5x + 27995.

To write a linear equation to represent the value of Zachary's car after x years since its purchase, we need to determine the slope and y-intercept. The initial value of the car is $27,995, and after 10 years it depreciates to $9,300. The slope (m) can be calculated as (9300 - 27995) / (10 - 0) = -1869.5. The y-intercept (b) is the initial value, which is $27,995. Therefore, the linear equation that represents the value of Zachary's car is y = -1869.5x + 27995.

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ax - 5 = b

ax = b + 5

a = [tex]\frac{b+5}{x}[/tex]

Answer:

[tex]a=\frac{b+5}{x},x\ne0[/tex]

Step-by-step explanation:

The given equation is:

[tex]ax-5=b[/tex]

We want to solve this equation for a.

We add 5 to both sides of the equation to get:

[tex]ax=b+5[/tex]

We divide both sides by x to get:

[tex]a=\frac{b+5}{x},x\ne0[/tex]

We must restrict the domain because a is not defined for all values of x.

Check the picture below.

so we have 3 rectangles and 1 semicircle.

let's recall that the area of a circle = A = πr², so then the area of a semi-circle is πr²/2.

let's get the area of all figures, sum them up, and that's the area of the composite.

[tex]\bf \stackrel{\textit{top rectangle}}{(2\cdot 5)}+\stackrel{\textit{middle rectangle}}{(4\cdot 11)}+\stackrel{\textit{bottom rectangle}}{(9\cdot 2)}+\stackrel{\textit{semicircle}}{\cfrac{25\pi }{2}} \\\\\\ 10+44+18+12.5\pi \implies 72+12.5\pi \qquad \approx\qquad 111.27[/tex]

For this case we make a rule of three to determine the initial amount of euros:

1 euro ----------------> 1.3687 dollars

x ------------------------> 250 dollars

Where "x" represents the amount of euros equivalent to 250 dollars.

[tex]x = \frac {250 * 1} {1.3687}\\x = 182.655074158[/tex]

Thus, Phelan received 182.655074158 euros.

If I spend 150 euros, we have:

[tex]182.655074158-150 = 32.655074158[/tex]

Now, we make the conversion to know the amount of dollars equivalent:

1 euro ----------------> 1.3687 dollars

32,655074158 ------------------------> y

Where "y" represents the amount of dollars:

[tex]y = \frac {32.655074158 * 1.3687} {1}\\y = 44,695[/tex]

So, Phelan has 44,695 dollars

Answer:

$ 44,695

Answer:

A. 0.7

Explanation:

B is irrational

I have no idea was c and d so that leads to A because it’s terminated

Answer:0.7

Step-by-step explanation:

A pex quiz