Find the area of the circle whose diameter is 68 cm​

Answers

Answer 1

Answer:

1156πcm²

Step-by-step explanation:

Diameter = 68cm

Therefore radius = 68 ÷ 2 = 34cm

Area of a circle = πr²

= π × 34cm × 34cm

= π × 1156cm

= 1156πcm²

NOTE: In case you're given the value of pi, substitute it into the formula to get your answer


Related Questions

2. A bakery makes muffins and cookies. Muffins are sold 18 to a box and cookies are sold 25 to a bag. They do not sell individual muffins or cookies. (a) On Saturday, the bakery made 1020 muffins. How many full boxes did the bakery use for the muffins they plan to sell on Saturday? Show your work. (b) On Monday, the bakery made 2820 cookies. How many full bags did the bakery use for the cookies they plan to sell on Monday? Show your work. (c) Look at your work from Part (a) and (b). What do the remainders represent in each problem?

Answers

a) if 18 muffins = 1 box,
1020 muffins = 1020/18 boxes
= 56.67 boxes

So they used 56 full boxes.

b) if 25 cookies = 1 bag
2820 cookies = 2820/25 bags
= 112.8 bags

So they used 112 full bags.

c) the remainders from a and b represent muffins and cookies left over.

An elliptical mirror measures 20 inches wide and 24 inches high. The ellipse is centered at (0, 60) on a coordinate plane, where units are in inches. Which equation represents the mirror?

Answers

The height and width of the outline (perimeter) of the mirror, as well as the

center in relation to the plane of the edges are given.

[tex]\displaystyle The \ mirror \ can \ be \ \mathbf{ represented} \ by \ the \ equation; \underline{\frac{(y - 60)^2}{144} + \frac{x^2}{100} = 1}[/tex]

Reasons:

Width of the elliptical mirror = 20 inches

Height of the elliptical mirror = 24 inches

Center of the ellipse = (0, 60)

The equation of an ellipse is;  [tex]\displaystyle \mathbf{\frac{(x - h)^2}{b^2} + \frac{(y - k)^2}{a^2}} = 1[/tex]

Where;

(h, k) = Coordinates of the center;

a = Semi major axis

b = Semi minor axis

In the mirror, we have;

(h, k) = (0, 60)

a = 24 ÷ 2 = 12

b = 20 ÷ 2 = 10

Which gives;

[tex]\displaystyle \frac{(x - 0)^2}{10^2} + \frac{(y - 60)^2}{12^2} = \frac{x ^2}{100} + \frac{(y - 60)^2}{144} = \mathbf{\frac{(y - 60)^2}{144} + \frac{x^2}{100}} = 1[/tex]

Therefore;

[tex]\displaystyle The \ equation \ that \ represent \ the \ mirror \ is; \underline{ \frac{(y - 60)^2}{144} + \frac{x^2}{100} = 1}[/tex]

Learn more about the equation of an ellipse here:

https://brainly.com/question/1306753

Solve. x 2 = 7
pls help!!

Answers

Answer:

x = 14

Step-by-step explanation:

1) Multiply both sides by 2.

x = 7 * 2

2) Simplify 7 * 2 to 14.

x = 14

Answer:

D.

Step-by-step explanation:

when using diversions in fractions to whole numbers you will always multiply the denominator by the whole number. So 2 x 7 equals 14. :))

find x and y intercepts of
3x - 2x = 5

Answers

Answer:

x=5

Step-by-step explanation:

there is no y intercept

[tex]\huge\textbf{Hey there!}[/tex]

[tex]\mathbf{3x - 2x = 5}\\\mathbf{\rightarrow 1x = 5}\\\textbf{DIVIDE 1 to BOTH SIDES}\\\mathbf{\rightarrow \dfrac{1x}{1}=\dfrac{5}{1}}\\\textbf{CANCEL out: }\mathbf{\dfrac{1}{1}\textbf{ because it gives you 1}}\\\textbf{KEEP: }\mathbf{\dfrac{5}{1}}\textbf{ because it helps solve for the x-value.}\\\textbf{NEW EQUATION: }\mathbf{x = \dfrac{5}{1}}\\\textbf{SIMPLIFY IT!}\\\mathbf{x = 5}\\\\\\\\\\\huge\textbf{Therefore, your answer is: \boxed{\mathsf{x = 5}}}\huge\checkmark[/tex]

[tex]\huge\textbf{Good luck on your assignment \& enjoy}\\\huge\textbf{your day!}[/tex]

~[tex]\mathbf{Amphitrite1040:)}[/tex]

please help meeeeeeee due in 5 minutessssssssssssss

Answers

Answer:

I think it would be 6. But im not 100% sure

Step-by-step explanation:

Answer:

40

Step-by-step explanation:

Mean x¯¯¯ 12.875

Median x˜ 11.5

Mode 15

Range 34

Minimum 6

Maximum 40

Count n 16

Sum 206

Quartiles Quartiles:

Q1 --> 8.5

Q2 --> 11.5

Q3 --> 14.5

Interquartile

Range IQR 6

Outliers 40

A number increased by 4 is less than - 12.

Answers

Answer:

is this all the information from the question

Divide (x^3+2x-6x-9) by (x+3)

Answers

Answer:

x² - 3x + 5 - [24÷(x+3)]

Step-by-step explanation:

1. Expand (x³ + 2x - 6x - 9)

            = x³ - 4x - 9

2. Divide [x³ - 4x - 9 by x+3]

            = x² + [(-3x^2-4x-9) ÷ (x+3)]

3. Divide [(-3x^2-4x-9) by (x+3)]

            = -3x + [(5x-9) ÷ (x+3)]

x² - 3x + [(5x-9) ÷ (x+3)]

4. Divide [(5x-9) ÷ (x+3)]

            = 5 + [(-24) ÷ (x+3)]

x² - 3x + 5 + [(-24) ÷ (x+3)]

= x² - 3x + 5 - [24 ÷ (x+3)]

Find the slope. Name the unit rate

Answers

Answer:

The slope is 4/5 i dont know unit rate though, hope this helps:)

please help before it's Monday ​

Answers

Answer:

Mateo's data shows a negative association

Step-by-step explanation:

Okay, so the y-axis is his amount of typos. The x-axis is the number of pages.

We can clearly see the typos found number increasing through the number of pages. Which is bad :/

Hope this helps :)

Please help me! No links, cheaters, or rude comments please!

Answers

Answer:

hmm i would say its -2 and 1/2.. although i am a little rusty at this..but this is what i choose

Step-by-step explanation:

Answer:

a and d is correct I did the test and got 100 .

A board is 81.28 centimeters long. How long is the board in inches? Use the following conversion: 1 inch is 2.54 centimeters

Answers

32 inches. Divide 81.28 by 2.54.

PLEASE write an equation in point-slope form for the line that passes through the point with the given slope. (-2,11) m=4/3

Answers

Answer:

[tex]y-11=\frac{4}{3}(x+2)[/tex] or y - 11 = (4/3)(x+2)

Step-by-step explanation:

Point-slope equation is:  [tex]y-y_1=m(x-x_1)[/tex]

If we replace y1 with 11 and x1 with -2 then this will be our resulting formula:

[tex]y-11=m(x+2)[/tex]

And of course we need to replace m with our slope:

[tex]y-11=\frac{4}{3}(x+2)[/tex]

Y=3x-1 i need help now right now.

Answers

This is not a question lol, positive slope

Y intercept is -1

Slope is 3

Prime number after 167, 118, 82, 57, 41,

Answers

The prime numbers after 167, 118, 82, 57, 41 are 37, 31, 29, 23, 19, 17, 13, 11, 7, 5, 3, 2.

Prime numbers are numbers that are divisible by 1 and itself.

This are number greater than one with only two factors which are 1 and itself.

In other words, this number, when they are divided by another number other

than 1 or itself , one will get a remainder that is not zero.

Example of prime numbers are 2, 5, 7, 11, 13 etc.

The prime numbers after  167, 118, 82, 57, 41 are as follows:

37, 31, 29, 23, 19, 17, 13, 11, 7, 5, 3, 2.

learn more about prime number here: https://brainly.com/question/26013414

PLZ HELP ME WITH MY MATH HOMEWORK!!!!!! SHOW WORK

Answers

Answer:

Step-by-step explanation:

       -(4q+8) + 6q = 12q - 5/6(18q + 6)

Open brackets:

<=>  - 4q - 8 + 6q = 12q - 5/6*18q - 5/6*6

<=>  - 4q - 8 + 6q = 12q - 15q - 5

Put q in one side and non q in one side:

<=> - 4q + 6q - 12q + 15q = 8 - 5

<=> 5q = 3

<=> q = 3/5

can someone give me the answers please?

Answers

Answer:

6. slope= -4/5     Y-intercept is 3

7.

a.y=-2x

b.y=1x+1

c.5/2x-1

d.y=4x+3

e.y=-3/2x-5

Step-by-step explanation:

Gabe has a savings account at the local bank. He deposits $150 in his account every 2 months. Which equation models the relationship between the months that deposits are made, x, and the amount of money deposited in the account, y?

Answers

Answer:

y=150(x/2)

Step-by-step explanation:

y = 150(x/2)

y represents the amount of money that is deposited into Gabe's account. x represents the amount of time he is adding money for.

x is divided by 2 because however long gabe has been adding money into his account, he does it every 2 months. This means that if x = 12 (time = 12 months) , then Gabe has only made (12/2) = 6 deposits of $150. If x = 4 (time = 4 months), then Gabe would have only made (4/2) = 2 deposits of $150.

With this being said, 150 is being multiplied by the number of deposits (x/2) to find the total amount of money deposited (y).

19.
In a Space Needle, the elevators whisk you to the revolving restaurant at a speed of 650
feet in 60 seconds. If the revolving restaurant is 370 feet up, how long will it take you to reach
the restaurant by elevator? Round answer to two decimal places.

Answers

383882818199102039992919(

The perimeter of the classroom shown is 6x + 3. Find the length of the missing side.
Incorrect Work/Solution
Identify and explain the Error
x
(6x + 3) + (3x +1) + x + x
6x + 3x + x +x+3 + 1
11x + 4
3x+1
The length of the missing side is 11x + 4.
Correct Work/Solution
Share a Strategy

Answers

Answer:

Refer to link below:

Step-by-step explanation:

https://brainly.com/question/25868816?referrer=searchResults

A car is traveling at a speed of 70 miles per hour. What is the car's speed in miles per hour? How many miles will the car travel in 5 hours?

Answers

350 miles is the answer explanation- if your going 70 mph you make 70 miles in 1 hour so to get the miles for 5 hours you would multiply 70x5=350

A parallelogram is transformed according to the rule (x,y) - (x,y). Which is another way to state the transformation?
A. Ro.90
B. RO, 180
C. R0,270
D. RO,360°

Answers

I think it’s c because R0,270 makes sense

Evaluate: 3cos 80° cosec 10° + 2 sin 59° sec 31°
correct answer will be marked as Brainliest.​

Answers

Given that

3 cos 80° cosec 10° + 2 sin 59° sec 31°

⇛3 cos(90°-10°) cosec 10°+2 sin (90°-31°) sec 31°

We know that

sin (90° - A) = cos A

cos (90°-A) = sin A

⇛3 sin 10° cosec 10° + 2 cos 31° sec 31°

⇛3 sin 10° (1/sin 10°) + 2 cos 31° (1/cos 31°)

⇛3 (sin 10°/sin 10°) + 2 (cos 31°/cos 31°)

⇛3 (1) + 2(1)

⇛3+2

⇛5

Answer: Therefore, 3cos 80°cosec 10°+2cos 59°sec 31° = 5.

also read similar questions: (sin teta + sec teta)^ + (cos teta+ cosec teta )^ = (1 + sec x cosec)^

https://brainly.com/question/87846?referrer

Answer:

5

Step-by-step explanation:

you can rewrite this as

3cos(90*-10*) x 1/sin(10*) + 2sin(90*-31*) x 1/cos(31*)

=3sin(10*) x 1/sin(10*) + 2cos31* x 1/cos(31*)

reduce with sin(10*) to get

3+2cos(31*) x 1/cos(31*)

cross out the cos 31* on both sides to leave you with

3+2

5

BRAINLIEST!Because he holds a degree in environmental science, Jared is the environmental inspector for a company that manufactures Styrofoam. What is one task that Jared would perform as part of his job?

A.
Jared oils the large press that forms the Styrofoam.

B.
Jared makes a schedule for Styrofoam deliveries.

C.
Jared tests the air quality in the room where the Styrofoam is stored.

D.
Jared designs the assembly line for the factory.

Answers

Answer: I looked it up please give a brainliest if correct:

Step-by-step explanation: I looked it up y copying and pasting and thats probably what you should have done never hurts to try new ways a lot of people said D.

Answer:

I would say D.

Step-by-step explanation:

Please double check i don't want you to fail your quiz

solve the system using substitution 5x+3y=-4 y-2x=6

Answers

Solving steps:-

5x+3y=−4

y−2x=6

-->To solve a pair of equations using substitution, first solve one of the equations for one of the variables. Then substitute the result for that variable in the other equation.

5x+3y=−4,−2x+y=6

-->Choose one of the equations and solve it for x by isolating x on the left hand side of the equal sign.

5x+3y=−4

-->Subtract 3y from both sides of the equation.

5x=−3y−4

--> Divide both sides by 5.

x = 1/5(-3y - 4)

--> Multiply 1/5 −3y−4.

x = -3/5y - 4/5

--> Substitute -3y - 4/ 5 for x n the other equation, −2x+y=6.

-2 (-3/5y - 4/5) + y = 6

--> Multiply −2 times -3y - 4/ 5

6/5y + 8/5 + y = 6

--> Add 6y/5 to y

11/5y + 8/5 = 6

--> Subtract 8/5 from both sides of the equation.

11/5y = 22/5

--> Divide both sides of the equation by 11/5, which is the same as multiplying both sides by the reciprocal of the fraction.

y = 2

--> Substitute 2 for y in x= -3/5y - 4/5. Because the resulting equation contains only one variable, you can solve for x directly.

x = -3/5 x 2 - 4/5

--> Multiply -3/5 times 2.

x = -6 - 4/ 5

--> Add -4/5 to -6/5 by finding a common denominator and adding the numerators. Then reduce the fraction to lowest terms if possible.

x = -2

--> The equation is now solved.

Answer : x = -2, y = 2

Explanation : If you think this answer is good, please give "Brainliest" or rate/heart my answer. Hope this helps you.

Floretta, a pitcher, claims that her pitch speed is less than 46 miles per hour, on average. Several of her teammates do not believe her, so she decides to do a hypothesis test, at a 5% significance level, to persuade them. She throws 24 pitches. The mean speed of the sample pitches is 37 miles per hour. Floretta knows from experience that the standard deviation for her pitch speed is 5 miles per hour.

H0: μ≥46; Ha: μ<46
α=0.05 (significance level)
What is the test statistic (z-score) of this one-mean hypothesis test, rounded to two decimal places?

Answers

To be honest I don’t know I just need points

Find the domain and range of f... please help

Answers

The range is [tex]\boxed{-4 \leq y < 0}[/tex].

Please Help Me - Calc.

Answers

[tex]\text{Given that,}\\\\2(x^2+y^2)^2 = 25 (x^2-y^2)\\\\\implies 2\dfrac{d}{dx} (x^2 +y^2)^2 = 25 \dfrac{d}{dx} (x^2 -y^2)\\\\\implies 2 \cdot 2(x^2 +y^2) \dfrac{d}{dx}(x^2 +y^2) = 25\left[2x - 2y \dfrac{dy}{dx} \right]\\\\\implies (4x^2 +4y^2)\left(2x + 2y\dfrac{dy}{dx}\right) = 50x - 50y\dfrac{dy}{dx}\\\\\\\implies 8x^3+8x^2y \dfrac{dy}{dx} + 8xy^2 +8y^3\dfrac{dy}{dx} = 50x -50y \dfrac{dy}{dx}\\\\\\\implies 8x^2y \dfrac{dy}{dx} + 8y^3\dfrac{dy}{dx}+50y \dfrac{dy}{dx} = 50x -8x^3 -8xy^2\\\\[/tex]

[tex]\implies (8x^2y +8y^3 + 50y)\dfrac{dy}{dx} =50x -8x^3 -8xy^2\\\\\implies \dfrac{dy}{dx} = \dfrac{50x -8x^3 -8xy^2}{8x^2y+8y^3+50y}\\\\\implies \dfrac{dy}{dx}= \dfrac{25x-4x^3-4xy^2}{4x^2y+4y^3+25y}\\\\\\\implies \dfrac{dy}{dx} = \dfrac{x(25-4x^2-4y^2)}{y(4x^2 +4y^2 +25)}\\\\\\\text{Slope at}~~ (-3,-1)\\\\m=\dfrac{dy}{dx} = \dfrac{-3[25-4(-3)^2-4(-1)^2]}{(-1)[4(-3)^2 + 4(-1)^2+25]} = -\dfrac{45}{65} = -\dfrac 9{13}[/tex]

[tex]\text{Equation with given points,}\\\\y+1 = -\dfrac9{13}(x+3)\\\\\implies y = -\dfrac 9{13} x - \dfrac {27}{13} -1\\\\\implies y= -\dfrac 9{13} x - \dfrac{40}{13}\\\\\text{Hence the equation of this tangent line is now in a form of y= mx+b,}\\\\\text{where}~ m = -\dfrac 9{13}~ \text{and}~ b = -\dfrac{40}3[/tex]

32. The length of each side of a square wooden box, in inches, is represented by the expression
8m'. The volume of the box, in cubic inches, is (8m").
Which simplified expression represents the volume of the box?
C. 512m
D. 512m
A. 8m
B. 24m

Answers

the length of the box is represented by (8m2)

does that mean 8m^2?

in English that would be 8 times m^2 or 8 * m * m.

if that is true, then the volume of the box would be equal to (8*m^2)^3 which is equal to 8^3 * m^6 which is then simplified further to 512 * m^6 which can also be written as 512m^6.

if we assume that m is 3, then the side of the box is equal to 8 * 9 which is equal to 72 and that is cubed to get 373248.

working that out algebraically, it would look like this:

(8*3^2)^3 equals 8^3 * (3^2)^3 which is equal to 8^3 * 3^6 which is equal to 512 * 729 which is equal to 373248

The simplified expression that represents the volume of the box is D. 512m.

What is volume?

Volume, which is measured in cubic units, is the 3-dimensional space occupied by matter or encircled by a surface. The cubic meter (m³), a derived unit, is the SI unit of volume. Volume is another word for capacity.

The volume of a cube or a square box can be calculated by multiplying the length of one side by itself twice since all sides of a cube are equal. Therefore, the volume of the square wooden box in the question is:

Volume = (8m')³

= 8m' * 8m' * 8m'

= 64m' * 8m'

= 512m"³

So the simplified expression that represents the volume of the box is 512m"³. Both options C and D in the original question have the same answer, but there is a typo in option D where it only says "512m" instead of "512m³".

Learn more about Volume here:

https://brainly.com/question/1578538

#SPJ2

Find the value of the variable.

Answers

Answer:

Step-by-step explanation:

Draw a line from S to T'

T' is where the angle PTQ intersects the circle when SR is extended so that it hits the circumference of the circle.

This line bisects the 50 degree angle (which is given. It also bisects PRS.

y is shown on the diagram.

Your first job is to find y

It's y + 90 + 25 = 180  because all triangles are made up of 180 degrees.

y it turns out is 65 degrees.

Now comes the interesting part. PRT' is supplementary to y. It is labeled as 180 - y

<PRT' + Y = 180

y = 65

<PRT' = 180 - 65 = 115

Since PRT' = 115 and since PR = PT'  (They are both radii). x/2 + x/2+ 115 = 180   I'll talk about x/2 down below this.

x + 115 = 180  All triangles = 180

x = 65.

Where did x/2 come? As long as PTQ is situated on the arc that it is on then <PTQ is always going to be x. You will have to piece together the two diagrams to make this work.i

It's a very good application of circles and lines well worth your time to get to know.

4*5=5*4
Distributive property

Answers

expanded form true

Step-by-step explanation:

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