Find the circumference of a circle with an area of 615.75 square inches

Answer:

h = 10 m

Step-by-step explanation:

We are given the following formula of the area of a trapezoid:

[tex]A=\frac{1}{2} (b+c)h[/tex]

where [tex]h[/tex] is the height of the trapezoid and [tex]b[/tex] and [tex]c[/tex] are its bases.

Re-arranging the given formula to solve for h:

[tex]A=\frac{1}{2} (b+c)h[/tex]

[tex]2A=(b+c)h[/tex]

[tex]h=\frac{2A}{(b+c)}[/tex]

Finding the height of the trapezoid given the bases 20 m, 7 m and area 135m^2.

[tex]h=\frac{2 \times 135}{(7+20)}[/tex]

h = 10 m

ANSWER

h=10m

EXPLANATION

The given formula is

[tex]A = \frac{1}{2} (b + c)h[/tex]

We multiply through by 2 to get,

[tex]2A =(b + c)h[/tex]We divide both sides by (b+c) to get,

[tex] \frac{2A}{b + c}=h[/tex]

Or

[tex]h=\frac{2A}{b + c} [/tex]

[tex]h=\frac{2 \times 135}{20 + 7} [/tex]

We simplify to get,

[tex]h=\frac{270}{27} [/tex]

Therefore

[tex]h = 10[/tex]

Now if b=20, c=7 and A=135, then,

Answer:

Step-by-step explanation:

Look at the picture.

The graph of an exponential function  [tex]f(x)=a^x[/tex], a > 0

is above the x-axis and lie in I and II Quarter.

Answer:

In an isosceles right triangle, the hypotenuse is larger than the sides by a factor of the square root of 2.

So, if the hypotenuse is 8 then the sides are 8 / (sq root of 2) = 5.6568542495

Step-by-step explanation:

For this case we must evaluate [tex]x = 2[/tex] in each of the inequalities and verify if the inequality is met or not:

Option A:

[tex]6x + 20 <29\\6 (2) +20 <29\\12 + 20 <29\\32 <29[/tex]

It is not fulfilled!

Option B:

[tex]7x-10 <11\\7 (2) -10 <11\\14-10 <11\\4 <11[/tex]

Is fulfilled!

Option C:

[tex]14x + 10 <37\\14 (2) +10 <37\\28 + 10 <37\\38 <37[/tex]

It is not fulfilled!

Option D:

[tex]15x-18 <12\\15 (2) -18 <12\\30-18 <12\\12 <12[/tex]

It is not fulfilled!

So, option B is correct, inequality is met

ANswer:

Option B

Final answer:

Upon substituting x with 2 in each of the given inequalities, option B (7x − 10 < 11) is the only true inequality, making it the correct answer.

Explanation:

To determine which inequality is true for x = 2, let's substitute x with 2 in each option:

Therefore, option B) 7x − 10 < 11 is the true inequality when x = 2.

Answer:

20,030,000

Step-by-step explanation:

You find 10⁷ times 2. then 10⁴ times 3. then add them together

[tex]\bf \textit{circumference of a circle}\\\\ C=2\pi r~~ \begin{cases} r=radius\\[-0.5em] \hrulefill\\ C=106.76 \end{cases}\implies 106.76=2\pi r \\\\\\ \cfrac{106.76}{2\pi }=r\implies 33.98\approx r[/tex]

Answer:

Radius= 16.991381724491

Step-by-step explanation:

Circumference:106.76

Diameter:33.982763448981

Answer:

x = 18.

Step-by-step explanation:

x / 1.2 = 15

To isolate x we multiply both sides of ther equation by 1.2:

x = 15 * 1.2

x =  18 (answer).

For this case we must find the value of the variable "x" of the following equation:

[tex]\frac {x} {1.2} = 15[/tex]

To do this, we must multiply both sides of the equation by "1.2":

[tex]\frac {x} {1.2} * 1.2 = 15 * 1.2\\x = 18[/tex]

Thus, the value of the variable x is 18.

Answer:

[tex]x = 18[/tex]

Answer:no

Step-by-step explanation: if they are all under the bus canopy they obviously take the bus make the data bias

Answer: the exact form would be 14/9, decimal form would be 1.5 and the mixed number for would be 1 5/9

Step-by-step explanation:

Answer:

1 5/9

Step-by-step explanation:

3 1/2 divided by 2 1/4

convert to fractions; 7/2 divided by 9/4

invert the last fraction; 7/2 * 4/9

cross multiply; 7/1 * 2/9

multiply; 14/9

Convert to a mixed number; 1 5/9

8 + 4 (2x+7) = 2 (2+6x), 4 (2x+7) + 8 = 2 (6x+2), (4 x 2x + 4x7) + 8 = 2 (6x+2)

x = 9

Answer:

C. 19.23%

Step-by-step explanation:

We simply have to sum up all the times he had a six then divide that by all the times he rolled the die.

Total times he got 6: 5 + 3 + 11 + 11 = 30

Total times he rolled the die: 39 + 21 + 55 + 41 = 156

The experimental probability is then 30 / 156 = 19.23%

It's a bit higher than expected (1/6 or 16.66%), but the sampling is relatively small.  If he were to throw it a thousand times, he'd probably be much close to the theoretical probability.

Answer:

Answer:

37

Step-by-step explanation:

Pamela's age can be repesented with the variable, p .

Pamela is 11 years younger than Jerry. Jerry's age can be represented with the expression p + 11.

So,

Pamela: p

Jerry: p + 11

If their total, combined age is 63, the following equation can be used to represent their ages.

p + (p + 11) = 63

Now, solve.

p + (p + 11) = 63

p + p + 11 = 63

2p + 11 = 63

2p = 52

p = 26

Now, remember that 26 is how old Pamela is. We're looking for Jerry's age.

We established before that Jerry's age can be represented with the expression p + 11.

We know what p is, so substitute the value of p into the equation.

p + 11

26 + 11

37

So, Jerry is 37 years old.

If you'd like to double check your answer, add 37 [Jerry's age] and 26 [Pamela's age] and you get 56.

I hope this helps you!!! :)

The answer would be c

Answer:

a) Samuel has a better credit score, so his interest rate is lower.

Step-by-step explanation:

Alan and Samuel both are same age and make same amount of money.

They both have a 30-year mortgage. But Alan pays 5 percent interest, while Samuel only pays 3.5 percent.

There correct answer here will be - Samuel has a better credit score, so his interest rate is lower.

When a person has a good credit rating, that means he has never defaulted any payment and has always paid his loan on time. He must be a trusted customer for the bank that is why he got a lower interest rate than Alan.

Answer:

2k^2 + 12.

Step-by-step explanation:

(1/2k)(4k) + 12

= 1/2 *4 k^2 + 12

= 2k^2 + 12.

Answer:

Step-by-step explanation:

1/2k (4k) + 12= 0

4k/2k + 12 = 0

2k + 12 = 0

2k = -12

Divide by 2 on both sides

K = -6

Answer:

A. y=-3x + 29

Step-by-step explanation:

The slope shows up in the equation as the coefficient of x. Only answer choice A has an x-coefficient of -3. It also happens to describe a line that goes through (7, 8).

y = -3x +29

___

Check

y = -3·7 +29 = -21 +29 = 8 . . . . as required

Answer:

A

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

here m = - 3, so

y = - 3x + c ← is the partial equation of the line

To find c substitute (7, 8) into the partial equation

8 = - 21 + c ⇒ c = 8 + 21 = 29

y = - 3x + 29 → A

Answer:

The answer would be 75 because of cross multiplication.

Answer:

75

Step-by-step explanation:

125/80=1.5625

48x1.5625=75

Find the Greatest Common Factor (GCF)

GCF = 2xy

Factor out the GCF. (Write the GCF first. Then, in parentheses, divide each term by the GCF.)

2xy(8x^3y/2xy + -8x^2y/2xy + -30xy/2xy)

Simplify each term in parenthesis

2xy(4x^2 - 4x - 15)

Split the second term in 4x^2 - 4x - 15 into two terms

2xy(4x^2 + 6x - 10x - 15)

Factor out common terms in the first two terms, then in the last two terms;

2xy(2x(2x + 3) -5(2x + 3))

Factor out the common term 2x + 3

= 2xy(2x + 3)(2x - 5)

Answer:

12 cm

Step-by-step explanation:

The total surface area of the cone = area of base + area of curved surface

Subtract the base area from total area, that is

πrs = area - πr²

r is the radius and s the slant height

πrs = 417.8 - (π × 7²) = 263.86

Divide both sides by πr

s = [tex]\frac{263.86}{7\pi }[/tex] ≈ 12 cm

The area of the shaded region between a larger circle with a radius of 4 cm and a smaller circle with a radius of 2 cm is 12π cm². This is calculated by subtracting the area of the smaller circle from the area of the larger circle.

This concerns the area of the shaded area between two circles, one with a radius of two centimetres and the other with a radius of four centimeters.

In order to determine this, we first compute the area of each circle using the formula πr², where r is the circle's radius.

Let's start by calculating the area of the bigger circle: π(4cm)² = 16π cm² is the area.

In a similar manner, we can calculate the smaller circle's area: π(2cm)² = 4π cm² is the area.

The area of the shaded region is equal to the area of the larger circle minus the area of the smaller circle, or area = 16π cm² - 4π cm² = 12π cm².

he has to make a bank account and it'll help in the long run

Answer:

[tex]\large\boxed{A.\ \dfrac{1}{x^2y^2}}[/tex]

Step-by-step explanation:

[tex]\dfrac{x^0y^{-3}}{x^2y^{-1}}=\dfrac{1\cdot\dfrac{1}{y^3}}{x^2\cdot\frac{1}{y}}=1\cdot\dfrac{1}{y^3}\cdot\dfrac{1}{x^2}\cdot\dfrac{y}{1}=\dfrac{1}{y^2x^2}[/tex]

[tex]\text{Used}\\\\a^0=1\ \text{for all real numbers except 0}\\\\a^{-n}=\dfrac{1}{a^n}[/tex]

Answer:

choosing 1 red marble

choosing 1 white marble, replacing it, and choosing another white marble

and choosing 1 white marble

Easily you can try each formula with x=-2

because we know f(-2)=-1

So ,in this way D is correct Only!!

Answer:

D) f(x) = (x + 2)³ -1.

Step-by-step explanation:

Given  : the graph of f(x), shown below in pink, has the same shape as the graph of g(x)=x^3, shown in gray.

To find :  which of the following is the equation for f(x).

Solution : We have given

Graph of f(x) is pink and graph of  g(x) is gray.

We can see graph of f(x) is shifted to 2 unit left and 1 unit down

Because  gray is at (0 ,0 ) and pink is at ( -2,-1)

By the transformation rule  f(x) →→ f(x+h) -k.

It shows that graph is shifted  to left by h unit and shifted down by k unit.

Then the equation of pink graph is :

f(x) = (x + 2)³ -1.

Therefore,D) f(x) = (x + 2)³ -1.

ANSWER

The x-coordinate of the solution to the system of equations is 1.

EXPLANATION

The given equations are:

y = -x - 2

and

y = 2x - 5.

We want to find the x-coordinate of the solution to the system of equations.

We equate the two equations to obtain an equation in x.

This implies that,

2x-5=-x-2

Group similar terms to obtain:

2x+x=-2+5

Simplify

3x=3

Divide both sides by 3.

x=1

The x-coordinate of the solution to the system of equations is 1

The solution to the system of equations y = -x - 2 and y = 2x - 5 is found by setting them equal to each other and solving for x, which yields the x-coordinate of the solution as 1.

To find the x-coordinate of the solution to the system of equations y = -x - 2 and y = 2x - 5, we can solve the equations simultaneously since they are both linear equations. Here are the steps to finding the solution:

So, the x-coordinate of the solution to the system of equations is 1.

Answer:

D

Step-by-step explanation:

3x=3(x)

x is an unknown number which there is no value.when there is number next to it.it will become times

[tex] \frac{3.4}{5.1} = 0.666667[/tex]

Your answer is 0.6 repeating

Answer:

12,2,4,7

I think those are the coefficients

For this case we have to, given a monomial of the form:

[tex]ax ^ ny ^ m[/tex]

We have to:

a: Represents the coefficient of the monomial

x, y: Are the variables

n, m: They are the exponents

Then, according to the given expression we have that the coefficients are:

12,2, 4 and 7

ANswer:

12,2, 4 and 7

The sides of the transformed figure A'B'C'D' describes A'D' is congruent to A'B' . The correct answer is option A

Translating a figure ABCD down by 6 units results in a congruent figure A'B'C'D', meaning the sides of the transformed figure are of the same length and angles as the original.

When a figure is translated, all of its sides remain parallel and congruent to the corresponding sides of the original figure. Therefore, the sides of the transformed figure A'B'C'D' are all parallel to the corresponding sides of the original figure ABCD.

In particular, we can see that A'D' is parallel to A'B' because they are both horizontal lines. Additionally, we can see that A'D' is congruent to A'B' because they are both the same length.

Therefore, the correct answer is option A. A'D' || A'B'.

The first option is correct: we have

[tex]\left(k^{\frac{1}{8}}\right)^{-1} = \dfrac{1}{k^{\frac{1}{8}}} = \dfrac{1}{\sqrt[8]{k}},\quad \left(k^{-1}\right)^{\frac{1}{8}} = \left(\dfrac{1}{k}\right)^{\frac{1}{8}} = \dfrac{1}{\sqrt[8]{k}}[/tex]

The second option is also correct, because it simply applies the definition

[tex]k^{\frac{1}{n}} = \sqrt[n]{k}[/tex]

The third option is also correct, because it applies the rule

[tex](a^b)^c = a^{bc}[/tex]

The expressions equivalent to (k^(1/8))^(-1) are (k^(-1))^(1/8) and k^(-1/8), matching options a and c from the given choices. These are determined by correctly applying the exponent multiplication rule.

The student is dealing with an expression involving exponents and radicals, specifically focused on understanding the rules for combining and simplifying these expressions. The expression in question is (k^(1/8))^(-1), which we'll simplify in a step-by-step fashion.

The rule of exponents we need to apply here is (a^m)^n = a^(m*n). When applying this rule to the given expression we get:

(k^(1/8))^(-1) = k^(1/8 * -1)

Simplify the exponent:

k^(1/8 * -1) = k^(-1/8)

So, the equivalent expression is:

k^(-1/8)

Now let's examine the choices given: