Find the measure of Angle A. Angle A=​

[tex] \underline{\underline{\sf{ \color{purple}{Given :} }}} [/tex]

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[tex] \underline{\underline{\sf{ \color{purple}{To\:Find :} }}} [/tex]

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[tex]\underline{\underline{\sf{ \color{purple}{Solution :} }}}[/tex]

[tex]\underline{\tt{As\:we\:know\:that,}}[/tex]

[tex]\star\:{\boxed{\sf{\purple{Area \: of \: circle} = 2 \times Area \: of \: semicircle}}}[/tex]

[tex] : \: \implies \sf{Area \: of \: circle = 2 \times 77cm^{2} }[/tex]

[tex]: \: \implies \sf{Area \: of \: circle =154 \: {cm}^{2} }[/tex]

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[tex]\underline{\tt{Now, \: we\:know\:that,}}[/tex]

[tex]\star\:{\boxed{\sf{\purple{Area \: of \: circle} = \pi r^{2}}}}[/tex]

[tex] : \: \implies \sf{ 154 = \dfrac{22}{7} \times {r}^{2} }[/tex]

[tex] : \: \implies \sf{ 7 \times 7 = {r}^{2} }[/tex]

[tex] : \: \implies \sf{ 49 = {r}^{2} }[/tex]

[tex] : \: \implies \sf{ {r}^{2} = 49 }[/tex]

[tex] : \: \implies \sf{ {r} = \sqrt{ 49} }[/tex]

[tex] : \: \implies \sf{ {r} = { 7 cm} } [/tex]

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[tex]\underline{\tt{Now, \: we\:know\:that,}}[/tex]

[tex]\star\:{\boxed{\sf{\purple{Perimeter} = \pi r + 2r }}}[/tex]

[tex] : \: \implies \sf{ Perimeter = \dfrac{22}{7} \times 7 + 2 \times 7 }[/tex]

[tex] : \: \implies \sf{ Perimeter = 22 + 14 }[/tex]

[tex] : \: \implies \sf{ Perimeter = 36 }[/tex]

[tex]\sf \therefore \: perimeter \: of \: the \: circle \: is \: 36cm[/tex]

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Answer:

liner Y=9(2x)  Y=5x-3

Step-by-step explanation:

Y=9(2x) and y = 5x - 3 are linear equations while others are non-linear.

The standard linear equation is in the form y = mx + b

Other equations are non-linear in nature since they have a degree of 2 or more.

Learn more on linear and nonlinear equation here: https://brainly.com/question/2030026

Answer:

Step-by-step explanation:

Answer:

[tex]\frac{49}{60}[/tex]

We can conclude that, both of them have eaten almost the complete bag of Tootsie rolls

Step-by-step explanation:

Given that:

Fraction of Tootsie rolls eaten by Jaxton = [tex]\frac{3}{5}[/tex]

Fraction of Tootsie rolls eaten by Drake = [tex]\frac{5}{12}[/tex]

Here, we have to use the Benchmark fractions to estimate what fraction of tootsie roll bags was eaten by Jaxton and Drake.

First of all, let us add the given two fractions to find the total amount of Tootsie rolls eaten by both of them together.

Total Tootsie rolls eaten by both of them =

[tex]\dfrac{3}{5} + \dfrac{5}{12}\\\\\text{Taking LCM of denominator i.e. 5 and 12 = 60}\\\Rightarrow \dfrac{3\times 12 + 5\times 5}{60}\\\Rightarrow \dfrac{49}{60}[/tex]

The most commonly used benchmark fractions are 0, [tex]\frac{1}{2}[/tex] and 1.

Here, with the fraction we can write our benchmark fractions as:

[tex]\dfrac{0}{60}, \dfrac{30}{60}, \dfrac{60}{60}[/tex]

We can see that, [tex]\frac{49}{60}[/tex] is near to [tex]\frac{60}{60}[/tex].

Therefore, we can conclude that, both of them have eaten almost the complete bag of Tootsie rolls.

Answer:

y=-x-2 this is the answer

Answer:

26, 18, -1, -25

Step-by-step explanation:

for easier understanding just draw a number line with integers for easier clarification.

... -5, -4, -3, -2, -1, 0, 1, 2 , 3 , 4 ...

26,18,-1,-25 is the answer from greater to least

Answer:

Huh??

Step-by-step explanation:

6x10=60/12=5×2=10??????

Answer:

j = [tex]\frac{2k+3}{5}[/tex]

Step-by-step explanation:

Given

[tex]\frac{5j-3}{2}[/tex] = k ( multiply both sides by 2 to clear the fraction )

5j - 3 = 2k ( add 3 to both sides )

5j = 2k + 3 ( divide both sides by 5 )

j = [tex]\frac{2k+3}{5}[/tex]

Answer:

A , one solution.........

Answer:

The answer is below

Step-by-step explanation:

a)

1/4x + 5/2x - 2 = 4 - 1/4x

collecting like terms:

(1/4)x + (5/2)x + (1/4)x = 4 + 2

3x = 6

x = 6/3

x = 2

b)

7.9x + x + 4 = -1.1x - 16

collecting like terms:

7.9x + x + 1.1x  = - 16 - 4

10x = -20

x = -2

c)

3.2x + 5.7 = -2.5x

collecting like terms:

3.2x + 2.5x = 5.7

5.7x = 5.7

x = 1

d)

10.1x - 1.6x + 44 = -7

collecting like terms:

10.1x - 1.6x = -7 - 44

8.5x = -51

x = -6

Hence the equations in increasing order of the value of their solutions is:

10.1x - 1.6x + 44 = -7

7.9x + x + 4 = -1.1x - 16

3.2x + 5.7 = -2.5x

1/4x + 5/2x - 2 = 4 - 1/4x

Answer:

2nd one

Step-by-step explanation:

y=16x+8

Answer:

D

Step-by-step explanation:

8 divided by 3 = 8/3

Answer:

Markup: $1.40

New price: $8.40

Step-by-step explanation:

20% of $7.00 is $1.40

$1.40 + $7.00 is $8.40

Answer:

D

Step-by-step explanation:

Boom

Answer:

$2.50

Step-by-step explanation:

6…=15

1…=15/6

2.50

Answer:

28

Step-by-step explanation:

The ratio of shots made to shots total is 7:15. Now since we don't know the shots made from 60 total shots, we can set the ratio as x:60. Since 15 goes into 60 4 times, we can multiply both parts of the ratio by 4 to get 28:60.

Answer:

$13.77 per person in the family

Step-by-step explanation:

Cost of the meal = $54.65

Sales tax rate = 8%

Sales tax amount = 8% of $54.65

= 8/100 × 54.65

= 0.08 × 54.65

= $4.372

Tip = 18% of $54.65

= 18/100 × 54.65

= 0.18 × 54.65

= $9.837

Total cost of the dinner = Cost of the meal + Sales tax amount + Tip

= $54.65 + $4.372 + $9.837

= $68.859

There are 5 people in the Holcombe family

What was the cost per person for the meal, including sales tax and tip?

cost per person for the meal, including sales tax and tip = Total cost of the dinner / total number of people in the family

= $68.859 / 5

= $13.7718

Approximately

$13.77 per person in the family

Answer:

86 calories per pound

Step-by-step explanation:

516/6 = 86

There are 86 calories in one pound of ice cream

Answer:

x=1/5

Step-by-step explanation:

Answer:

5

Step-by-step explanation:

The least number of pages Yao must read per hour to finish reading the book is 26 pages per hour. which is the correct answer would be an option (B)

A rate is a type of ratio that compares two values with distinct units. A rate is expressed as a fraction.

Calculate the total number of hours Yao has left to finish reading the book by subtracting the number of hours he has already spent reading from the total number of hours he has available:

8 hours - 1 hour = 7 hours.

The number of pages Yao has left to read : 300 pages - 120 pages = 180 pages.

The number of pages Yao must read: 180 pages / 7 hours = 25.7 pages/hour.

Round up the number of pages Yao must read per hour to the nearest whole number. The least number of pages Yao must read per hour is 26 pages/hour.

Therefore, the minimum number of pages Yao must read each hour to finish the book is 26 pages per hour.

To learn more about the rate click here :

https://brainly.com/question/12786410

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Answer:

Step-by-step explanation:

slope is the diference in y over the difrevce in x

m= (y2-y1) / (x2-x1) = (5-2) / (0-1) = 3 / -1  = - (3/1)

Tip:

keep in mind that you can start with any point you want as long as you do the same order for x and y.

For example both of those are correct

m = (5-2) / (0-1) = 3 / -1  = - (3/1)

m = ( 2-5)/ (1-0) = -3/1 = -(3/1)

Answer:

35

Step-by-step explanation:

Answer:

please help help me me my question

9514 1404 393

Answer:

  150° CCW

Step-by-step explanation:

Apparently, we are to assume that segment A'B' is a reflection across line m, and that segment A"B" is another reflection across line p. Then the total angle of rotation is double the angle between lines m and p. The smaller angle is the supplement of 105°, so is 75°. Double that is 150°

The angle of rotation to get from A to A" is 150°.

__

The center of rotation is the point of intersection of p and m.

Answer:

Y divided by 3.99 = X

Step-by-step explanation:

Answer:

12 feet

Step-by-step explanation:

Sometimes, a simple drawing is a great way to start! In the attached drawing, the red line represents the ladder, the brown represents the ground, and the black represents the building!

We want to find the side of the triangle from where the ladder meets the building to where the building meets the ground. This can be found using trigonometric identities, namely sine:

[tex]sin\theta=\frac{opposite}{hypotenuse}[/tex]

Plug in known values:

[tex]sin(74^o)=\frac{x}{12}[/tex]

Rearrange to isolate the variable:

[tex]x=12sin(74^o)[/tex]

Simplify!

[tex]x=11.535140... ft[/tex]

Round to the nearest foot:

[tex]x=12ft[/tex]

Answer:

1400< 350d (its less than or equal to, but i cant put the bar under.

Answer:

From the graph, it is clear that

at x = 1, the value of y=2

Therefore,

B(1) = 2, hence option 'C' is true.

Step-by-step explanation:

Given that the graph is associated with the function B.

From the graph, it is clear that

at x = 1, the value of y=2

In other words,

Therefore,

B(1) = 2, hence option 'C' is true.