how many solutions does -2(14-12x)= -4(10-6x) have ?

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:

820.11

Step-by-step explanation:

-39.48

603.15+90.89=694.04

694.04+106.03=800.07

800.07+70.04+870.11

870.11-50.00=820.1

Answer:

C or D definitely not A or B bc it is too close of a number to 24.75 for 15

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

You want to find out how much it would be for 15 boxes

(5 , 11.25)

this is the first pair on the table multiply both by 3 because 5 x 3 = 15(boxes)

so we need to find how much it costs so now you multiply 11.25 by 3 which will be 33.75.

I have done this problem in my class and it is a believe me!

Answer:

Step-by-step explanation:im sorry im only 11

Answer:

D. Jacob rode a 45-kilometer race in 3 hours.

Step-by-step explanation:

1h = 15km

A. : 30m = [tex]\frac{30}{60}[/tex] × 15km

              = 7.5km (not 2km)

B. : 15m = [tex]\frac{15}{60}[/tex] × 15km

             = 3.75km (not 4km)

C. : 5h = 5 × 15km

             = 75km (not 20km)

D. : 3h = 3 × 15km

             = 45km (Yep, 45km)

Answer:

(8-5) + (16-1)=18

Answer: 6/5 root x

explanation: A vertical stretch happens when you’re multiplying by a number GREATER THAN 1 on the outside of the root. 6/5 root x is the only answer choice that meets this.

Answer:

B, D & E -[tex]\sqrt{x} 16X[/tex], 3/8√9x, 6/5√x

Answer: 1/2

Step-by-step explanation:

the formula for a line is y = mx + b

m is the slope. so in the line y = 1/2x + b

1/2 is our m and therefore that’s the slope

Answer:

that's standard form for slope

Step-by-step explanation:

have a nice day :)

Answer:

P would be substituted with 15, so the equation would be accurate

Step-by-step explanation:

Answer:

$550

Step-by-step explanation:

Answer:

The restaurant would take in $550 by selling 100 burritos

Step-by-step explanation:

First, we need to add all the expenses together and multiply by 100

1.50 + 1.00 = 2.50

2.50 x 100= 250

We know that the restaurant would charge $800 in total for the 100 burritos so now we subtract what it costs to make them.

800 - 250 = 550

Our final answer would be $550

Answer:

2

Step-by-step explanation:

it may not be right because i guessed

Answer:

C. y=-3

Step-by-step explanation:

5y-10=-25

5y=-25+10

5y=-15

y=-15/5

y=-3

Answer: 4x^2-y-3x

Step-by-step explanation:

Answer:

ASA

Step-by-step explanation:

Answer:

x =2 nd y= -4

Step-by-step explanation:

That is your answer for the question I hope you get a good grades in school!!!

1 out of 3

Step-by-step explanation:

There are 5 cards. 3 of which are odd. if you lift 3 out of the five there is a 3 out of 5 chance itll be odd. while if it is only 3 cards. it would have to be a 1 out of 3 chance because there will always be an odd number involved.

Answer:

24 cookies

25 muffins

96 cookies

Answer  

1,863.5

Step-by-step explanation: add 165.85 +20.50 =186.35 the do 186.35 x 10 =1,863.5

Answer:

the second one fore the points

then the third one for the graph

Step-by-step explanation:

(-4,3), (-4,4), (-3,1), (1,1):

X: -4, -3, 1       Since theirs two -4s you only put one

Y: 1, 3, 4           since theirs two 1s you only put one

The graph:

(1,-1), (4,4), (-1,1), (-3,1), (-3,-4)

X: 1, 4, -1, -3

Y: -1, 4, 1, -4

Have a safe and happy new year :)

Answer:

f(x)=1/3x+23/3

Step-by-step explanation:

Find the slope:

m= -1/3

Find the y-intercept:  

b= -7 2/3

Substitute in the numbers to get:

f(x)=1/3x+23/3

Hope this helps! :)

The value of the linear equation will be;

⇒ f (x) = -1/3x + 23/3

What is an expression?

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

Given that;

The values are;

⇒ f (-1) = 8 and f (5) = 6

Now,

Let the linear function is,

⇒ f (x) = ax + b

Substitute f (-1) = 8 and f (5) = 6 in above equation as;

⇒ f (-1) = a × -1 + b

⇒ 8 = - a + b   ... (i)

And, ⇒ f (5) = a × 5 + b

⇒ 6 = 5a + b   ... (ii)

Solve (i) and (ii) as;

a = - 1/3 and b = 23 / 3

So, The linear equation become;

⇒ f (x) = ax + b

⇒ f (x) = -1/3x + 23/3

Thus, The value of the linear equation will be;

⇒ f (x) = -1/3x + 23/3

Learn more about the linear equation visit:

https://brainly.com/question/2030026

#SPJ2

Answer:

a=4b/u-4g/u

Step-by-step explanation:

You got this!

Answer: |10 - (-8)|  

The absolute value is 18

Step-by-step explanation:

The distance between two numbers is a subtraction equation.

10 - (-8)  Subtracting a negative is like adding a positive

10 + 8 = 18

If you look at it as the first negative sign means -1 multiplied by the next negative number, "Remember that a negative times a negative is a positive!"

Answer:

|-10 - (-8)|

Step-by-step explanation:

I hope this helps!

Answer:

x - intercept: -1.2

y - intercept: -0.7

Answer:

C

Step-by-step explanation:

trust me on this one

Answer:

8$ is 3 burgers

40$ is 15 burgers

Step-by-step explanation:

Answer: Ok so what i'v got for this one is that i averaged up all three numbers and i got an average of about 85%. Now you have to put in a fourth number which will actually be another 80% i believe

Step-by-step explanation: add up all 3 divide them all by the numbers then once your done with that plug in the 80% and see what your answer will be.