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Answer:

Question 3)

[tex]\stackrel{\frown}{AC}=36\text{ inches}[/tex]

[tex]\angle BCA\approx103^\circ[/tex]

Question 1)

[tex]\stackrel{\frown}{AB}\approx 8.9\text{ cm}\\[/tex]

[tex]A\approx44.5\text{ cm}^2[/tex]

Step-by-step explanation:

Question 3)

We are given that the central angle is 1.8 radians and has a radius of 20 inches.  

Part A)

The formula for arc length in terms of radians is given by:

[tex]s=r\theta[/tex]

Where s is the arc length, r is the radius, and θ is the angle in radians.

In this case, r is 20 and θ is 1.8. Hence, the arc length is:

[tex]\stackrel{\frown}{AC}=(20)(1.8)=36\text{ inches}[/tex]

Part B)

∠BCA is the central angle that measures 1.8 radians.

We can convert radians to degrees using the following formula:

[tex]\displaystyle d=\theta\cdot\frac{180^\circ}{\pi}[/tex]

Where d is the measure in degrees, and θ is the measure in radians.

Therefore:

[tex]\displaystyle d=1.8\cdot\frac{180^\circ}{\pi}\approx103.1324\approx103^\circ[/tex]

Question 1)*

Part A)

We will use the arc length formula in degrees given by:

[tex]\displaystyle s=2\pi r\cdot \frac{\theta^\circ}{360}[/tex]

Where r is the radius and θ is the angle measured in degrees.

We have a radius of 10 centimeters and a central angle of 51°. Therefore, our arc length is:

[tex]\displaystyle \stackrel{\frown}{AB}=2\pi(10)\cdot\frac{51}{360}=20\pi\cdot\frac{51}{360}\approx8.9\text{ cm}[/tex]

Part B)

We will use the formula for the area of a sector in degrees given by:

[tex]\displaystyle A=\pi r^2\cdot\frac{\theta^\circ}{360}[/tex]

So, we will substitute 10 for r and 51 for θ. Hence, the area of the sector is:

[tex]\displaystyle A=\pi (10)^2\cdot \frac{51}{360}=100\pi\cdot\frac{51}{360}\approx44.5\text{ cm}^2[/tex]

*Notes:

For this question, it is possible and completely fine for us to convert 51° to radians and then use the formulas in terms of radians.

Answer:

(1). 36 inch. , 103° ; (2). 8.9 cm , 44.5 cm² ;

Step-by-step explanation:

1).

(b). m∠BCA = 1.8 rad. × [tex]\frac{180}{\pi }[/tex] ≈ 103° ( π ≈ [tex]\frac{22}{7}[/tex] )

(a). C = 2 π r , the length of arc AB = ( 2 × [tex]\frac{22}{7}[/tex] × 20 ) ÷ 360° × 103.132° ≈ 36 inches

3).

(a).  The length of arc AB = ( 2 × [tex]\frac{22}{7}[/tex] × 10 ) ÷ 360° × 51° ≈ 8.9 cm

(b). A = π r² , the area of the sector = ( [tex]\frac{22}{7}[/tex] × 10² ) ÷ 360° × 51° ≈ 44.5 cm²

Answer:

I believe it's B

Step-by-step explanation:

I'm so sorry if im wrong

Answer:

Shoyo here!

Step-by-step explanation:

10000000000000000000000000000000

Answer:

8.1%

Step-by-step explanation:

Step one:

given

initial price = $8.72 per pound

final price=  $9.43 per pound

Required

the % increase

Step two:

% increase= (final-initial)/initial*100

substituting we have

[tex]percent- increase= (9.43-8.72)/8.72*100\\\\percent- increase= 0.71/8.72*100\\\\percent- increase= 0.081*100\\\\percent- increase= 8.1%[/tex]

Answer:

D

Step-by-step explanation:

Answer: it would be d

Step-by-step explanation:

Answer:

1.5 (1 1/2)

Step-by-step explanation:

This is a method I personally like to use when you can change the fractions to decimals easily.

6 3/4= 6.75 (3/4= 0.75)

4 1/2= 4.5

6.75/4.5= 1.5

The result when the fraction  [tex]6\frac{3}{4}[/tex] is divided by the fraction [tex]4\frac{1}{2}[/tex] is [tex]1\frac{1}{2}[/tex].

A fraction is written in the form of p/q, where q ≠ 0.

Fractions are of two types they are proper fractions in which the numerator is smaller than the denominator and improper fractions where the numerator is greater than the denominator.

Given, A fraction [tex]6\frac{3}{4}[/tex] is divided by the fraction [tex]4\frac{1}{2}[/tex].

Therefore, 27/4 is divided by 9/2 which is,

= (27/4)/(9/2).

= (27/4)×(2/9).

= 3/2 Or [tex]1\frac{1}{2}[/tex].

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Answer:

2 g/cm^3

Step-by-step explanation:

Answer:

10.91

Step-by-step explanation:

40.54-29.63= 10.91

BRAINLIEST ARE ALWAYS APPRECIATED :)

Answer:

10.91

Step-by-step explanation:

40.54

-  29.63

_______________

10.91

Answer:

$490 dollars

Step-by-step explanation:

Tia takes 50 dollars for her bus fare every month for 7 months. Do 7 X 5 to get your answer which is 49 then add a zero to 49.

Answer:

18%

Step-by-step explanation:

9/50 = 0.18 and 0.18 is 18% in percentage form

Answer:

18%

Step-by-step explanation:

FIrst set up a fraction so that later we can convert that into a percentage:

9/50

9 represents the number of tickets sold and the 50 represents the total

We divide numerator by denominator.

9/50 =

0.18

We multiply by 100 to get our percentage and we get 18%

Answer:

the answer is 7.

Step-by-step explanation:

here's why......if u place the 3 where a is it will become multiplication so that would be 2 times 3 minus b now but if u place -1 the minus becomes addition so it will be 6+1 which is 7.

Answer:

The value of expression when a=3 and b=-1 is 7

Step-by-step explanation:

Given expression is:

2a - b

Also given that

a = 3

b = -1

In order to find the value of the expression, we have to put 3 in place of a and -1 in place of b in the expression

So putting the values

[tex]=2(3)-(-1)\\=6+1\\=7[/tex]

Hence,

The value of expression when a=3 and b=-1 is 7

Answer:

25.734

Step of explanation:

tanjent =opposite/adjacent

cosine =adjacent /hypotenuse

sine =opposite /hypotenuse

this use tangent because the opposite number is there and we want to find adjacent

so t =opposite /adjacent

tan25 °=12/ a

a=12/tan25

=25.734

Answer: 2 times with a remainder of 2. Remainder basically means whats left over and in this case, it's 2

Step-by-step explanation: 2 times 50= 100

Answer:

The value of uxd=4

Step-by-step explanation:

since  y=u, y=d, y=y

y=1/2 and 8

2y-1=0

2y=1

y=1/2

8-y=0

8=y

1/2*8=4

Answer:

4

Step-by-step explanation:

0=(2y−1)(8−y)

Using the zero product property

2y-1 =0    8-y =0

2y =1     8=y

y =1/2  y= 8

Let y=u, y=d

u = 1/2    d = 8

We want the value of u*d

u*d = 1/2 *8 = 4

Answer:

g

Step-by-step explanation:

Answer:

A. x1/15

Step-by-step explanation:

Answer:

It would be [tex]x^{\frac{8}{15}}[/tex] or D

Hope this helps

Answer:

the equation is y=-1/3x+3

Answer: 8

Step-by-step explanation:

Answer:

x^2+3x-28

Step-by-step explanation:

Answer:

The answer is x^2  3x 28

Step-by-step explanation:

Answer: C.)32 Bestieeeee

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

Answer: $62.79

Step-by-step explanation: i got it right on my test

Answer:

-7, 14

Step-by-step explanation:

We start by writing this in the form $x^2 + bx + c = 0$, so we subtract 98 from both sides of the equation.

This gives us $x^2 - 7x - 98 = 0$. We proceed by factoring $x^2 - 7x - 98$, so we seek numbers that multiply to $-98$ and add to $-7$. We find that $7$ and $-14$ work.

Thus, our equation becomes $(x + 7)(x - 14) = 0$. We can now apply the fact that if the product of two real numbers is zero, then at least one of the real numbers must be 0.

Solving $x + 7 = 0$ and $x - 14 = 0$, we find that the solutions are $\boxed{x  =-7~\text{and}~x = 14}$.

The value of the equation is given by x = 14 or x = -7

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

x² - 7x = 98   be equation (1)

Subtracting 98 on both sides of the equation , we get

x² - 7x - 98 = 0

Now , on simplifying the equation , we get

x² - 14x + 7x - 98 = 0

Taking x as the common factor of the equation , we get

x ( x - 14 ) + 7 ( x - 14 ) = 0

On further simplification , we get

( x + 7 ) ( x - 14 ) = 0

Now , the two solutions to the equation is

( x + 7 ) = 0

Subtracting 7 on both sides of the equation , we get

x = -7

( x - 14 ) = 0

Adding  14 on both sides of the equation , we get

x = 14

Therefore , the value of A is 14 or - 7

Hence , the equation x² - 7x - 98 = 0 has the solutions of 14 and -7

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Answer:

D is a right angle

B is an accute angle

A and C are obtuse