What is the length of of BC? with work pls help

Answer:

y=3/2x-16

Step-by-step explanation:

The equation of the line passing from points (10, -1) is y = 3x/2 - 16.

A straight line's equation is a mathematical formula that describes the relationship between the coordinate locations along the line. It conveys the slope, x-intercept, and y-intercept of the line and can be expressed in a variety of ways. Y = mx + c and axe + by = c are the two versions of the equation of a straight line that are most frequently employed.

Given slope = 3/2 and points (10, -1)

equation of line is given by y = mx + c

m = 3/2

y = 3/2x + c

substitute points,

-1 = 10*3/2 + c

c = -16

equation of line is y = 3x/2 - 16

Hence the equation is y = 3x/2 - 16.

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Answer:

a equal to c 25 b greater than

Step-by-step explanation:

Answer:

As per graph the rate of Printer A is 15 pages per minute.

Missing words are:

The rate for Printer B is greater than the rate for Printer A because the rate of 25 pages per minute is greater than the rate of 15 pages per minute for Printer A.

Answer:

There are 2 given situations:

Plant A and Plant B growing in 3 weeks. Find which plant grows proportional

Plant A

=> 1st week = 18 inches

=> 2nd week = 36 inches

=> 3rd week = 56 inches

=> 18 + 18 = 36 + 20 = 56

Thus, this is not proportional

Plant B

=> 1st week = 18 inches

=> 2nd week = 36 inches

=> 3rd week  = 54 inches

=> 18 + 18 = 36 + 18 = 54 inches

thus, the growth of this plant is proportional

Answer:

Division

Step-by-step explanation:

3x = 3 times x so, you must do the opposite of multiplication to get rid of the 3, which is division.

The solution of the equation with a single variable  3x = 15 will be 5.

The allocation of weights to the important variables that produce the calculation's optimum is referred to as a direct consequence.

The definition of simplicity is making something simpler to achieve or grasp while also making it a little less difficult.

The equation is given below.

3x = 15

Divide the equation by 3 into both sides, then we have

3x / 3 = 15 / 3

x = 5

The solution of the equation with a single variable  3x = 15 will be 5.

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Answer: Silver

Step-by-step explanation:

Answer:silver

Step-by-step explanation: I did it

Answer:

true

Step-by-step explanation:

Answer:

True

Step-by-step explanation:

Houses can be either domed or octagonal: True

Answer:

c

Step-by-step explanation:

Answer: 5 minutes

Step-by-step explanation:

a. Jason's mother to catch him after time of 5minutes.

b. Jason biked for distance of 3miles when his mother catches him.

c.  Mother has to drive with speed of 60mph to catch him at the school door, if Jason's school is 2.5 miles from his apartment.

" Speed is defined as the total distance travelled per unit time."

Formula used

[tex]Speed = \frac{total distance travelled}{total time taken}[/tex]

According to the question,

Speed of Jason bike = 12mph

1hour = 12miles

60minutes = 12miles

1minutes = [tex]\frac{12}{60}[/tex] miles

Speed of Jason's mother bike = 36mph

Time after mother found the homework = 10 minutes

After 10 minutes

Jason is at distance =  [tex]\frac{12}{60} (10)[/tex]

                                 =2miles

After 15 minutes = [tex]\frac{12}{60} (15)[/tex]

                            = 3miles

To cover three miles mother has to drive for

1hour = 36miles

60minutes = 36miles

1miles = [tex]\frac{60}{36}[/tex] minutes

3miles = [tex]\frac{60}{36} (3)[/tex]

           = 5minutes    

If Jason's school is 2.5 miles from his apartment,

Time taken by Jason to reach school door = [tex]\frac{2.5}{12.5} (60)[/tex] minutes

                                                                        = 12.5 minutes

Time in which mother has to cover distance of 2.5miles

= [tex](12.5-10)[/tex]minutes

= 2.5minutes

Substitute the value in the formula we get,

Speed of mother's bike =  [tex]\frac{2.5}{2.5} (60)[/tex] mph

                                       = 60mph

Hence,  

a. Jason's mother to catch him after time of 5minutes.

b. Jason biked for distance of 3miles when his mother catches him.

c.  Mother has to drive with speed of 60mph to catch him at the school door, if Jason's school is 2.5 miles from his apartment.

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Answer:

They make 4 approximately tons of oxygen each year.

Step-by-step explanation:

( 250lbs × 32 ) ÷ 2000 = 4t

250 pounds because each tree makes about 250 pounds of oxygen a year.

× 32 because there are 32 trees, so they'll make 32 times more oxygen than one tree.

÷ 2000 because before that everything was in pounds, and the question asks about tons. There are 2000 pounds in a ton, so you divide by 2000 to get the answer, which is 4 tons.

Answer:

1

Step-by-step explanation:

h

Answer:

I know it is 1

Step-by-step explanation:

Answer:

Step-by-step explanation:

tan x° = [tex]\frac{3}{4}[/tex] ⇒ x° ≈ 36.87° ≈ 36.9°

========================================================

Explanation:

The general equation

y = ax^2 + bx + c

has the vertex (h,k) such that

h = -b/(2a)

In this case, a = -16 and b = 147. This means,

h = -b/(2a)

h = -147/(2*(-16))

h = 4.59375

The x coordinate of the vertex is x = 4.59375

Plug this into the original equation to find the y coordinate of the vertex.

y = -16x^2+147x+118

y = -16(4.59375)^2+147(4.59375)+118

y = 455.640625

The vertex is located at (h,k) = (4.59375, 455.640625)

The max height of the rocket occurs at the vertex point. Therefore, the max height is y = 455.640625 feet which rounds to y = 455.6 feet

Answer:

x = 20

Step-by-step explanation:

Exterior angles are equal.

7x - 3 = 6x + 17

Add 3 and subtract 6x to both sides.

x = 20 is the answer.

Answer:

Step-by-step explanation:

Given principal p =$3500

Time t =1 year

Rate of interest r =2.3%

So annual interest=p×r×t/100

=3500×2×2.3/100

=7000×2.3/100

=16100/100

=161.

So annual interest is $161

Answer:

A fair six-sized die is rolled. Find the probability of getting at least a 4.

There are 6 outcomes and three of them are 4, 5 or 6, so the probability of greater than or equal to 4 is 3/6=½.

Answer: In order: 25, 15, 67.

Step-by-step explanation:

In picture

Answer:

Area of a triangle is 1/2B x H

In this case, BH = 0.5(3x-5)·4x

A = 4/2 · (3x²-5x)

Answer:

I think it is 4 but, im not sure

Answer:

The value of x is 37.36

Step-by-step explanation:

The given triangle is a right-angled triangle where

Base = 25

Angle = 48°

Hypotenuse = x

As the triangle is a right angled triangle, trigonometric ratios can be used to find the missing value. We can use a ratio which uses base and hypotenuse.

[tex]cos\ 48 = \frac{base}{hypotenuse}\\cos\ 48 = \frac{25}{x}\\0.6691 = \frac{25}{x}\\x = \frac{25}{0.6691}\\x = 37.36[/tex]

Hence ,

The value of x is 37.36

Answer:

El Perímetro de un hexágono es igual a la suma de todos sus lados.

Step-by-step explanation:

el perimetro siempre es la suma de los lados de cualquier figura

Answer: There are  62 tricycles in the shop.

Step-by-step explanation:

Given: Number of wheels in a bicycle = 2

Number of wheels in a tricycle = 3

Let x = Number of bicycles , y = Number of tricycles.

As per given , we have

x+y =120       (i)

2x+3y=302       (ii)

Multiplying 2 on both sides of (i)

2x+2y=240      (iii)

Subtract (iii) from (ii) , we get

y= 62

Put value of y in (i) , we get

[tex]x+62=120\\\\\Rightarrow\ x=120-62\\\\\Rightarrow\ x= 58[/tex]

Hence, there are 58 bicycles and 62 tricycles in the shop.

The total profit made by the student is 56.8%

The correct answer is D

Given parameters:

final price in which he book was sold = Rs.400

the first profit made by the student = 12% = 0.12

the final profit made by the student = 40% = 0.4

To find:

To find the total profit made by the student, we have to find the initial cost price of the book.

The cost price of the book before the student made the profit of 40%.

Let this cost price = y

100%y + 40%y = 400

140%y = 400

1.4y = 400

[tex]y = \frac{400}{1.4} \\\\y = 285.71[/tex]

This cost price become the new selling price before the student made the profit of 12%.

The cost price of the book before the student made the profit of 12%.

Let this cost price = x

100%x + 12%x = 285.71

112%x = 285.71

1.12x = 285.71

[tex]x = \frac{285.71}{1.12} \\\\x = 255.1[/tex]

This is the initial cost price of the book

The total profit made by the student is calculated as;

[tex]Profit \ \%= \frac{selling \ price - cost \ price }{cost \ price} \times 100\%\\\\Profit \ \%=(\frac{400 - 255.1}{255.1} )\times 100\%\\\\Profit \ \%= 56.8\%[/tex]

Thus, the total profit made by the student is 56.8%

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Answer:

Option c is the answer

Step-by-step explanation:

3/5 = 0.6

2 divided by 0.6 = 3.3333333

3.33333 = 10/3

10/3 = 3 1/3

Hope this helps :)

Answer:

3 1/3 or 3, depending on if he can play a fraction of a match

Step-by-step explanation:

The question is asking us how many times 3/5 can go into the whole number 2. to find this we can multiply the denominator of the fraction (5) by the whole number we are trying to get with the fraction (2), and this results in 10. if we put this over the denominator, we get 10/5, which results in 2. to find how many times 3/5 can go into 10/5, we will divide 10/5 by 3/5. this results in 3 and 1/3. so he can play 3 1/3 matches.

Answer:

[tex]\mathbf{A = \dfrac{8}{3} \bigg (2 \pi + 3\sqrt{3} \bigg ) }[/tex]

Step-by-step explanation:

From the information given:

Lets first change the given relations into polar coordinates

So, the region of the inner circle into polar coordinates is as follows:

(x - 4)² + y² = 16

x² + y² - 8x = 0

r² - 8r cos θ = 0

r = 8 cos θ

For the outside circle:

x² + y² = 16

r² = 16

Thus, the intersection point are:

64cos²θ = 16

cos²θ = 1/4

θ = -(π/3) , (π/3)

Now: if we are to represent the sketch on a graph, the region of the integration D will be:

[tex]D = \bigg \{ (r,\theta )\bigg |-\dfrac{\pi}{3}\leq \theta \leq \dfrac{\pi}{3}, 4 \leq r \leq 8 cos \theta \bigg \}[/tex]

Therefore, the are of the required region can now be computed as follows:

[tex]A = \int \int _D \ dA[/tex]

[tex]A = \int ^{\pi/3}_{-\pi/3} \int ^{8 \ cos \theta}_{4} \ r dr d \theta[/tex]

[tex]A = \int ^{\pi/3}_{-\pi/3} \bigg (\dfrac{r^2}{2} \bigg ) ^{8 \ cos \theta}_{4} \ d \theta[/tex]

[tex]A = \int ^{\pi/3}_{-\pi/3} \dfrac{1}{2} \bigg (64 \ cos ^2 \theta - 16 \bigg ) \ d \theta[/tex]

[tex]A = \int ^{\pi/3}_{-\pi/3} \dfrac{16}{2} \bigg (4 \ cos ^2 \theta - 1 \bigg ) \ d \theta[/tex]

[tex]A = \dfrac{16}{2} * 2 \int ^{\pi/3}_{0} \bigg (4 \bigg ( \dfrac{ 1+ cos 2 \theta}{2} \bigg) - 1 \bigg ) \ d \theta[/tex]

[tex]A = 16 \int^{\pi/3}_{0} (1 + 2 cos 2 \theta ) d \theta[/tex]

[tex]A =16 ( \theta + sin2 \theta )^{\pi/3}_{0}[/tex]

[tex]A = 16 \begin {bmatrix} \bigg (\dfrac{\pi}{3} + \dfrac{\sqrt{3}}{2} \bigg ) - (0-0) \end {bmatrix}[/tex]

[tex]A = 16 \begin {bmatrix} \bigg (\dfrac{\pi}{3} + \dfrac{\sqrt{3}}{2} \bigg ) \end {bmatrix}[/tex]

[tex]\mathbf{A = \dfrac{8}{3} \bigg (2 \pi + 3\sqrt{3} \bigg ) }[/tex]

The area of the region is equal to [tex]8\sqrt{3} + \frac{16\pi}{3}[/tex] square units.

The double integral formula for the area of a given curve is described below:

[tex]A = \iint\,r(\theta) \,dr\,d\theta[/tex] (1)

Where:

We notice that [tex]r \in [4, 8\cdot \cos \theta][/tex] and [tex]\theta \in \left[-\frac{\pi}{3}, \frac{\pi}{3} \right][/tex], then we have the following integral:

[tex]A = \int\limits_{-\frac{\pi}{3} }^{+\frac{\pi}{3} } \int \limits_{r= 4}^{r = 8\cdot \cos \theta}\,r\,dr\,d\theta[/tex]

Now we proceed to integrate the expression:

[tex]A = \frac{1}{2}\int\limits_{-\frac{\pi}{3} }^{+\frac{\pi}{3} } \,(64\cdot \cos^{2}\theta -16)\,d\theta = 32 \int\limits^{+\frac{\pi}{3} }_{-\frac{\pi}{3} } \,\cos^{2}\theta \, d\theta - 8\,\int\limits^{+\frac{\pi}{3} }_{-\frac{\pi}{3} } \, d\theta[/tex]

[tex]A = 16\int\limits^{+\frac{\pi}{3} }_{-\frac{\pi}{3} } {\cos 2\theta} \, d\theta + 8\int\limits^{+\frac{\pi}{3} }_{-\frac{\pi}{3} } \, d\theta[/tex]

[tex]A = 8\sqrt{3}+\frac{16\pi}{3}[/tex]

The area of the region is equal to [tex]8\sqrt{3} + \frac{16\pi}{3}[/tex] square units.

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Answer: 61.6

Step-by-step explanation:

17.6 X 3.5 = 61.6

Answer:

Kyle threw the baseball 61.6 meters

Step-by-step explanation:

You multiply 17.6 by 3.5 which results in 61.6

Answer: 18 miles

explanation: set up a proportion. (2 over 1/9 = x over 1). cross multiply, 2x1=2, then divide 2/(1/9)=18.

Answer:53

Step-by-step explanation:

Answer:

(3,-6)

Step-by-step explanation:

  [1]    x - 2y = 15

  [2]    2x + 4y = -18

Graphic Representation of the Equations :

   -2y + x = 15        4y + 2x = -18  

Solve by Substitution :

// Solve equation [1] for the variable  x

 [1]    x = 2y + 15

// Plug this in for variable  x  in equation [2]

  [2]    2•(2y+15) + 4y = -18

  [2]    8y = -48

// Solve equation [2] for the variable  y

  [2]    8y = - 48

  [2]    y = - 6

// By now we know this much :

   x = 2y+15

   y = -6

// Use the  y  value to solve for  x

   x = 2(-6)+15 = 3

Solution :

{x,y} = {3,-6}