if the radius of a circle is r cm, what is the measure of its circumference? write​

∠6 is an alternate interior angle to ∠3

∠5 corresponds to ∠7

∠7 is a consecutive interior angle to ∠6

∠8 is an alternate exterior angle to ∠1

The area of the part of the mural Trevor has completed is

Area of a rectangle is the product of its length and width.

If a rectangle has length L units and width of W units, then

Area = L × W squared units.

Given;

Width of painting= 25m

Length of painting= 34m

Area of rectangle = L x W

= 25 x 34

= 850m^2

Therefore, the area of rectangle will be 850m^2

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Answer:

∠1 = 90°, ∠2 = 90°, ∠3 = 90°, ∠4 = 90°, ∠5 = 90°, ∠6 = 90°, ∠7 = 90°

Step-by-step explanation:

From the question, we have;

∠1 and the 90° are supplementary angles

∴ ∠1 = 180° - 90° =  90°

2) ∠2 is vertically opposite to the 90° angle, therefore;

∠2 = 90°

3) ∠3 is vertically opposite to ∠1 , therefore;

∠3 = 90°

4) ∠4 is the corresponding angle to the given 90° angle, therefore;

∠4 = 90°

5) ∠5 is the corresponding angle to ∠1, therefore;

∠5 = ∠1 = 90°

6) ∠6 and ∠2 are corresponding angles;

∴ ∠6 = ∠2 = 90°

7) ∠7 and ∠3 are corresponding angles;

∴ ∠7 = ∠7 = 90°

The question is incomplete:

Donovan spent $5.75 at the fruit stand. He bought 3 apples and 2 oranges. He spent the rest of the money on bananas. The image with the price per fruit is attached. How many bananas did Donovan buy?

A. 1 banana

B. 2 bananas

C. 3 bananas

D. 4 bananas

Answer:

D. 4 bananas

Step-by-step explanation:

First, you have to consider that the total amount paid is equal to adding up the results of multiplying the price for each fruit for the number of fruits purchased which would be:

Total cost=(3*0.75)+(2*1.25)+0.25x, x is the number of bananas

Total cost=2.25+2.5+0.25x

Now, you can replace the total cost with 5.75 that is the amount Donovan spent and solve for x:

5.75=2.25+2.5+0.25x

5.75-2.25-2.5=0.25x

1=0.25x

x=1/0.25

According to this, the answer is that Donovan bought 4 bananas.

Answer:

519.8 feet

Step-by-step explanation:

A straight road to the top of a hill is 2500 feet long and makes an angle of 12 degrees with the horizontal. Find the height of the hill.

We solve this question using the Trigonometric function of Sine

sin theta = Opposite/ Hypotenuse

Theta = 12°

Hypotenuse = 2500 feet

Opposite = Height of the hill = x

Hence,

sin 12 = x/ 2500 feet

Cross Multiply

x = sin 12 × 2500 feet

x = 519.77922704 feet

Approximately = 519.8 feet

The height of the hill is 519.8 feet

Answer:

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Step-by-step explanation:

yeesyhdbdhdhdufhfhfbfbdbdvdvdvxbcbdhdhdhshssbbssgOysyizykxlhdloyzkhxkgxigsoyxly khxiyyykxkg

A. [tex]f(x)=0.6x^{2} -2[/tex], is the correct answer.

[tex]g(x)=x^{2}[/tex] is shifted down [tex]2[/tex] units and is bigger by 0.6 units, which makes the new equation: [tex]f(x) =0.6x^{2} -2[/tex].

The equation of the transformed function is F ( x ) = 0.6x² - 2

The transformation of a function may involve any change.

Usually, these can be shifted horizontally (by transforming inputs) or vertically (by transforming output), stretched (multiplying outputs or inputs), etc.

If the original function is y = f(x), assuming the horizontal axis is the input axis and the vertical is for outputs, then:

Horizontal shift (also called phase shift):

Left shift by c units: y=f(x+c) (same output, but c units earlier)

Right shift by c units: y=f(x-c)(same output, but c units late)

Vertical shift:

Up by d units: y = f(x) + d

Down by d units: y = f(x) - d

Stretching:

Vertical stretch by a factor k: y = k × f(x)

Horizontal stretch by a factor k: y = f(x/k)

Given data ,

Let the function be represented as f ( x )

Now , the value of f ( x ) = x²

And , the graph of the function is shifted 2 units down and stretched by a a scale factor of 0.6 units

So , the transformed function is

F ( x ) = 0.6x² - 2

Hence , the transformed function is F ( x ) = 0.6x² - 2 and the graph is plotted

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Answer:Write the equation of this geometric sequence and find the value of the 9th term.

1/3, 1, 3, 9...

F(n)=

F(9)=

Step-by-step explanation:

You can put this solution on YOUR website!

The total of Jenny's 5 tests = 375

If she wants an average of 77 then

her 6 tests must total 6 x 77 = 462

462 - 375 = 87 which is what Jenny

must score on the sixth test for an

average of 77.

:-)

Answer:

79

Step-by-step explanation:

Sum of 4 test for Average of 82 must be 82 x 4 which is 328.

Subtract previous 3 scores from 328:

328 - (98 + 83 + 68)

328 - 249 = 79

She needs a 79

Answer:

one number x= 16

other number y = 4

Answer:

it's a 1/6 chance because it's a 6 faced dice

Answer:

Volume=21.195 cubic inch

Step-by-step explanation:

The volume of a cylinder varies jointly with its height and the square of the radius is expressed as

V∝hr^2

Introducing our constant of proportionality,K we have that

V =Khr^2

Given that A 7.85 cubic inch spice container is 2.5 inches tall and has a radius of 1 inch. We have that

V =Khr^2

7.85=K 2.5 X 1^2

K=7.85/2.5 x1

K=3.14

Given that another spice container is 3 inches tall with a radius of 1.5 inches, Volume=?

V =Khr^2

V=3.14 X 3 X 1.5^2

V=21.195 cubic inch

Step-by-step explanation:

Answer:

16

Step-by-step explanation:

a trick that helps with percentages

if its 20% of 80, multiply 20 and 80 and then divide that by 100 so 1600 divided by 100. 16. hope this helps!!

Answer:

I assume you are finding for z so

z=

Step-by-step explanation:

34+66 = -32+z+32

100 = -32+z+32

132 = z+32

100 = z

z = 100

Answer:

3/2 because you divide both by 2

Step-by-step explanation:

hope this helps.     :)

Answer:

10/47

Step-by-step explanation:

54x+20=7x+30

54x-7x+20=30

47x+20=30

47x=30-20

47x=10

x=10/47

Answer:

1:2

Step-by-step explanation:

3x2=6

2x2=4

4x2=8

Multiplying all sides by two (or doubling all sides) gets the first triangle to the size of the second (or produces the second image).

So you know 2 is the answer, I am not sure how to write the scale factor maybe it is 1:2.

Option (B) is correct, A factor of f(x) is x+1.

A function is a combination of different types of variable and constants in which for the different values of x the value of function y is unique.

Given that,

Function f(x) has one root, which is -1.

Implies that,

for the function f(x),

x = -1,

or (x+1) = 0,

So, (x+1) is the factor of the function f(x).

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Answer:

.

Step-by-step explanation:

Answer: 10.2

Step-by-step explanation:

Use the Pythagorean Thoerem

[tex]b=\sqrt{c^2-a^2}\\b=\sqrt{15^-11^2}\\b=\sqrt{225-121[/tex]

[tex]b=\sqrt{104}\\\\b=10.2[/tex]

Answer:

x = 10.2

Step-by-step explanation:

the exact solution is 10.19804

Answer:

12

Step-by-step explanation:

if you add up 2, 6 times it would be 2,4,6,8,10,12

or you would multiply the 2 assuming that there was no number to subtract 2 six times from to start

Answer:

24m; 35m

Step-by-step explanation:

Answer:

3/50

Step-by-step explanation:

The experimental probability that a person selected at random is going to City B is 19/50.

Experimental probability is a probability that is determined on the basis of a series of experiments.

The table shows the results of a survey of 100 people selected at random at an airport.

The total number of responses is;

= 24 + 38 + 14 +22 +2

= 100

The experimental probability that a person selected at random is going to City B is given by;

[tex]\rm Probability =\dfrac{Responses \ from \ city \ B}{Total \ responses}\\\\ Probability =\dfrac{38}{100}\\\\ Probability =\dfrac{19}{50}[/tex]

Hence, the experimental probability that a person selected at random is going to City B is 19/50.

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Answer:

1 : 11

Step-by-step explanation:

Ratio

gear 1 : gear 2

= 5 : 55 ( divide each part of the ratio by 5 )

= 1 : 11 ← in simplest form

Answer:

a) (6;6)

b) Yes

d) The intersection is on the vertical axis.

Step-by-step explanation:

a) A(2,4)

B (2,2)

Vecto BA (4, 2)

Vecto n (-4,2)

We have:

(2 - 4) x (X - (-2)) + (2 - (-2)) x (Y - 2) = 0

=> -2X + 4Y - 12 = 0

=> Y = X/2 +3

Let's find the value of y if (6,y) lies on the  plane:

Put X = 6 => Y = 6

b)

X/2 + 3 = 3 - X

=> X/2 = -X

=> X =0 -> Y = 3

C (0;3)

d) The intersection is on the vertical axis.

I hope my answer will help you.

Answer:

x=90

Step-by-step explanation:

So, since x-20 is the vertical angle directly near 70, we can say:

x-20=70.

if we solve x is 90.

HOPE IT HELPS!!!!!!!!!!!

Answer:

68%

Step-by-step explanation:

The increase is (62 - 37), or 25, ounces.  Comparing this to the original quantity (37 oz), we divide 25 oz. by 37 oz., obtaining 0.676 (a ratio).  Multiplying this ratio by 100%, we get 68% (to the nearest percent).