What is the circumference of the circle? (use 3.14 for pi)
(WORTH 30 POINTS)

Answer:

∠ AOC = 124°

Step-by-step explanation:

the 3 angles lie on a straight line and sum to 180°

sum the 3 angles and equate to 180

3x + 94 + x + 30 + 2x - 4 = 180

6x + 120 = 180 ( subtract 120 from both sides )

6x = 60 ( divide both sides by 6 )

x = 10

Then

∠ AOC = 3x + 94 = 3(10) + 94 = 30 + 94 = 124°

The total amount of debt is $119,340.

The total debt to total assets ratio is a financial ratio. It is the ratio of total debt to total asset. It also known as the total debt ratio

Total debt ratio = total debt / total asset

total debt = value of the ratio x value of the assets

0.51 x $234,000 = $119,340

To learn more about financial ratios, please check: https://brainly.com/question/26092288

#SPJ1

Answer:

D. 496

Step-by-step explanation:

Start by finding original number of pens:

15 boxes x 40 pens per box = 600 pens in all

find number of pens taken:

26 workers x 4 pens each = 104 pens taken

Find number of pens left:

600 original - 104 taken = 496 left

Answer: D. 496

Answer:

D

Step-by-step explanation:

15x40=600

26x4=104

600-104=496

Answer:

c! :))

Step-by-step explanation:

i cant exactly remember how  to explain it step by step, but all i remember is that i took a similar test not too long ago that had the same question!

Answer:

C. There are infinetly many solutions.

Step-by-step explanation:

A system of linear equations has infinite solutions when the graphs are the exact same line.

Answer:

Given equation:

[tex]10^{5x-2}=2^{8x-3}[/tex]

Take natural logs of both sides:

[tex]\implies \ln 10^{5x-2}= \ln 2^{8x-3}[/tex]

[tex]\textsf{Apply log Power law}: \quad \ln_ax^n=n\ln_ax[/tex]

[tex]\implies (5x-2)\ln 10=(8x-3) \ln 2[/tex]

Expand brackets:

[tex]\implies 5x\ln 10 - 2\ln 10=8x \ln 2 -3 \ln 2[/tex]

Collect like terms:

[tex]\implies 5x\ln 10 - 8x \ln 2 =2\ln 10-3 \ln 2[/tex]

Factor left sides:

[tex]\implies x(5\ln 10 - 8 \ln 2) =2\ln 10-3 \ln 2[/tex]

[tex]\textsf{Apply log Power law}: \quad \ln_ax^n=n\ln_ax[/tex]

[tex]\implies x(\ln 10^5 - \ln 2^8) =\ln 10^2- \ln 2^3[/tex]

[tex]\textsf{Apply log Quotient law}: \quad \ln_a\frac{x}{y}=\ln_ax - \ln_ay[/tex]

[tex]\implies x\left(\ln\left(\dfrac{10^5}{2^8}\right)\right) =\ln\left(\dfrac{10^2}{2^3}\right)[/tex]

Simplify:

[tex]\implies x\left(\ln\left(\dfrac{3125}{8}\right)\right) =\ln\left(\dfrac{25}{2}\right)[/tex]

[tex]\implies x=\dfrac{\ln\left(\dfrac{25}{2}\right)}{\ln\left(\dfrac{3125}{8}\right)}[/tex]

[tex]\implies x=0.4232297737...[/tex]

4 total numbers, 2 are odd

probability of getting odd = 2/4 = 0.50 =50%

Answer: 50%

Answer:

m=1/7

Step-by-step explanation:

The slope of y=x/3 + 4 is 1/7.

x/3+4 = x/7 so m = 1/7.

Answer:

m = 1/3

Step-by-step explanation:

The equation given is in slope-intercept form, which has the basic structure:

y = mx + b

In this equation, "m" is the slope and "b" is the y-intercept.

The value of "b" is 4.

The value of "m" is 1/3. This is because (x/3) is the same as (1/3 times x).

Answer:

The diameter divides a circle into fourths. (False)

The diameter is twice the length of the radius. (True)

The diameter is the distance around the circle. (True)

The diameter is a chord. (True)

The diameter passes through the center of a circle. (True)

The diameter is about three times larger that the circumference. (I don't really know this from the top of my head. Sorry!

Step-by-step explanation:

Hope this helps!

From your neighborhood softie. :)

Answer: 99 cm²

Step-by-step explanation:

      The area of a triangle can be found with [tex]a=\frac{b*h}{2}[/tex] so we will plug in the given values and solve.

[tex]\displaystyle a=\frac{b*h}{2}[/tex]

[tex]\displaystyle a=\frac{(18 cm)(11cm)}{2}[/tex]

[tex]\displaystyle a=\frac{198\;cm^2}{2}[/tex]

[tex]\displaystyle a= 99\;cm^2[/tex]

The area bounded by the curves will be 0.089. Then the correct option is A.

When the two curves intersect then they bound the region is known as the area bounded by the curve.

The functions are given below.

y₁ = eˣ   ....1

x = (y - 1)²  ...2

Then equation 2 can be written as

y₂ = √x + 1

The intersection point of the curves will be

eˣ = √x + 1

BY solving, the value of x will be

x = 0, 0.558

Then the area bounded by the curves will be

[tex]\rm A = \int _0^{0.558} (y_2 - y_1) dx\\\\\\A = \int _0^{0.558} (\sqrt{x} + 1 - e^x )dx\\\\\\A = \left [\dfrac{x^{3/2}}{3/2} + x - e^x \right]_0^{0.558} \\\\\\A = \left [\left (\dfrac{0.558^{3/2}}{3/2} + 0.558 - e^{0.558} \right ) - \left ( \dfrac{0^{3/2}}{3/2} + 0 - e^0 \right) \right]\\[/tex]

On further solving we have

A = -0.911 + 1

A = 0.0887

A ≅ 0.089

Then the correct option is A.

More about the area bounded by the curve link is given below.

https://brainly.com/question/24563834

#SPJ1

Answer:

B. The citizens

Step-by-step explanation:

When captain Preston said fire he blame the citizens for foreign saying they were harassing the soldiers

Hope this helps! ;-)

Answer:

Nice to hear that, congrats with practice 7.3

Answer:

WHAT ARE WE SUPPOSE TO ANSWER...?

Answer:

Answer:4x + 1

Step-by-step explanation:

(f + g)(x)=(3x - 1)+(x + 2)

=3x + x - 1 + 2

=4x + 1

Answer: The formula for area of a triangle is area equals base times height divided by 2. the height is 5 units.

Step-by-step explanation:

Answer:

49/9

Step-by-step explanation:

[tex](3/7)^-2=((37)^2)^-1=(3^2/7^22)^-1=(9/49)^-1=49/9[/tex]

I hope this helps!

Answer:

P(X = 3) = 0.14680064

Step-by-step explanation:

Formula=============================

[tex]p\left( X=k\right) =C^{k}_{n}p^{k}(1-p)^{n-k}\ \ ;\ k\in \left\{ 0,\ldots ,n\right\}[/tex]

……………………………………………………………………..

Given :

n = 8

p = 0.2

1 - p = 1 - 0.2 = 0.8

k = 3

Then

[tex]p\left( X=3\right) =C^{3}_{8}(0.2)^{3}(0.8)^{5}[/tex]

               [tex]=0.14680064[/tex]

Answer:

18.2

Step-by-step explanation:

A tenth is the first decimal, on the right of your unit. 5 to the sky (round up) 4 to the floor (round down)

18.159

The nearest tenth of 18.159

First value right to the decimal place is tenths place. If the value given in hundredths place is 5 or more round up, if not keep it as it is.

So here the value in hundredths place is 5, so we'll have to add 1 to the tenths place.

18.159

= 18.2 ( nearest tenth )

[tex] \bold{\underline{\underline{\underbrace{Answer}}}} [/tex]

x = p and y = -q

Step-by-step explanation:

The value of x and y

px + qy = p² - q²(equation 1)

qx - py = 2py

{Taking equation 2}

[tex] \sf qx - py = 2py[/tex]

{Taking py on RHS}

[tex] \sf qx = 2py \ + py [/tex]

{Dividing both sides by q

[tex] \sf x = \frac{2pq}{q} + \frac{py}{q} \\ \\ \sf x = 2p + \frac{py}{q} (equation \: 3)[/tex]

{Now substituting the value of equation 3 in equation 1}

[tex] \sf p(2p + \frac{py}{q} ) + qy = {p}^{2} - {q}^{2} \\ \\ \sf 2 {p}^{2} + \frac{ {p}^{2}y }{q} + qy = {p}^{2} - {q}^{2} [/tex]

{Taking 2p² on RHS and taking LCM on LHS}

[tex] \sf \frac{ {p}^{2}y + {q}^{2} y }{q} = {p}^{2} - {q}^{2} - 2 {p}^{2} \\ \\ \sf \frac{y( {p}^{2} + {q}^{2} ) }{q} = - ( {p}^{2} + {q}^{2} )[/tex]

{Dividing (p² + q²) both sides}

[tex] \sf \frac{y}{q} = - 1 \\ \\ \red{ \boxed {\bold{y = - q}} }[/tex]

{Now using value of y in equation 3}

[tex] \sf x = 2p - \frac{pq}{q} \\ \\ \sf x = 2p - p \\ \\ \red{ \boxed{ \bold{ x = p}}}[/tex]

The height of the pole and the building are 27.1 meters and 97.8 meters respectively.

The situation forms a right angle triangle. The height of the building can be found using trigonometric ratios,

Therefore,

tan 34 = opposite / adjacent

tan 34 = h / 145

h = 145 tan 34

h = 145 × 0.67450851684

h = 97.8037349422

Therefore,

height of the building = 97.8 meters

tan 26 = x / 145

x = 145 tan 26

x = 70.721225342 meters

Therefore,

height of the flagpole = 97.8 - 70.7 = 27.1 meters

learn more on right triangle here: https://brainly.com/question/15322533

#SPJ1

Answer:

2  2/3

Step-by-step explanation:

-2 1/3 - ( - 5)

We are subtracting a negative which is like adding

-2 1/3 + (  5)

The signs are different so we subtract and take the sign of the larger

5 - 2 1/3

Borr from the 5

4 3/3 - 2 1/3

2 2/3

The sign of the larger was positive so the answer is positive

2 2/3

The volume of the stones will be 384 inch³.he volume of the stone is found by subtracting the volume before stones and the volume after stones in the container.

The term “volume” refers to the amount of three-dimensional space taken up by an item or a closed surface. It is denoted by V and its SI unit is in cubic inch.

Volume before the stones are put in the container is;

[tex]\rm V_1 = L bh \\\\ V_1= 4 \times 16 \times 8 \\\\ V_1= 512 \ inch^3[/tex]

The volume after the stones are put in the container is;

[tex]\rm V_2= 7 \times 16 \times 8 \\\\\ V_2= 896 \ inch^3 \\\\[/tex]

The volume of the stone is found by subtracting the volume before stones and the volume after stones;

[tex]\rm V = V_2-V_1 \\\\\ V=896-512 \\\\ V_2= 384 \ inch^3[/tex]

Hence,the volume of the stones will be 384 inch³.

To learn more about the volume, refer to the link;

https://brainly.com/question/1578538

#SPJ1

Answer:

£225

Step-by-step explanation:

[For percentage increase, add the percentage with 100, for percentage decreases substract the percentage from 100.]

100 + 25 = 125%

[tex]\frac{125}{100}[/tex] × 180 = £225

Put y 's value in second equation

And

Solution is (1,-3)

Verification

Verified

Answer:

Here is the answer:

Step-by-step explanation:

An isosceles trapezoid is a trapezoid whose non-parallel sides are congruent. A kite is a quadrilateral with exactly two pairs of adjacent congruent sides.

Answer: 2

Step-by-step explanation:

See attached image

Answer:

I'm very sure it is B. The number of students who collected exactly 9 bottles.

Step-by-step explanation:

A is wrong because it does show the total amount of students.

C is wrong because it does show the amount of students that collected 3 or fewer bottles.

D is wrong because it does show the total number of students who collected 7 or fewer bottles.

So, B would be the only correct answers. Hope I helped!! Pls mark brainliest if I did help.

Answer:

The answer your looking for would be B. "The number of students who collected exactly 9 bottles"

Step-by-step explanation:

I took the FLVS test.

Replacing the first card illustrates an independent event, while not replacing the card illustrates a dependent event

In probability, when a selected card or item is replaced before another item is selected, then the event is an independent event.

This is so because, the selected card do not have effect on the probability of selecting the next card

However, if the card is not replaced, then the event is dependent

Read more about replacing cards at:

https://brainly.com/question/251701

#SPJ1

Answer

All real numbers or (-∞, ∞)

Step-by-step explanation:

There aren't any X values that can make this linear equation output an invalid results, so we can deduce that the domain is all x values.

Answer:

All Real Numbers

Step-by-step explanation:

The Domain for a function simply is all the possible x values.

When graphing this function, you'll realize that it's continuous and passes all x values.

Additionally, when looking at it, you'll realize you can input any number of your choosing.

When trying to evaluate the domain of other functions, you can look at if any values of x will create an undefined value.

For example, some functions may have x in the denominator, and since the denominator can not be 0, there will be a discontinuity.

Other examples where the domain wouldn't be all real numbers would be if x was under a square root and couldn't be negative, or if the function was a vertical line.

Hope that helps, please let me know if you have any queries.