The driving distance between Manchester and London is 195 miles. Farris wants to travel from Manchester to London on coach. The coach will leave Manchester at 3:30pm. Farris assumes the coach will travel at an average speed of 50mph. work out Farris's arrival time in London?

Answer:

The horizontal distance of the ball from Noli when it reached maximum height is approximately 4.1 feet

Step-by-step explanation:

The horizontal distance from the hoop at which Noli threw the ball, y₀ = 7 feet

The height of the hoop = 10 feet

The height from which the ball was thrown = 6 feet

The height to which the ball is thrown = 2 × The initial horizontal distance from the hoop

∴ The height to which the ball is thrown, [tex]y_{max}[/tex] = 2 × 7 feet = 14 feet

The coordinates of points on the path of the ball are;

(0, 6), (7, 10), (x, 14)

The projectile in vertex form is y = a·(x - h)² + k

Where;

(h, k) = The x, and y-coordinate of the maximum height

The y-coordinate of the maximum height reached = k = 14 feet

The x-coordinate of the maximum height = h = The horizontal distance of the ball from Noli when it reached maximum height

At y = 6, x = 0, therefore, we get;

6 = a·(0 - h)² + 14 = a·h² + 14

6 = a·h² + 14

a = -8/h²

At y = 10, x = 7, we get;

10 = a·(7 - h)² + 14 = (-8/h²)·(7 - h)² + 14

10·h² = -8·(7 - h)² + 14·h²

-4·h² =  -8·(7 - h)²

4·h² - 8·(7 - h)² = 0

-4·h² + 112·h - 392 = 0

h = (-112 ± √(112² - 4 × (-4) × (-392)))/(2 × -4)

h ≈ 4.1, or h ≈ 23.9

We reject the value, h ≈ 23.9 feet given that the distance between the where the Noli threw the ball and the hoop = 7 feet

Therefore, the horizontal distance of the ball from Noli at which the ball reached its maximum height, h ≈ 4.1 feet

Answer:

I doubt it is not going to be a great

Step-by-step explanation:

the same time as a child support of the year old girl I don't know what you think about it is not going to

Step-by-step explanation:

15 dollar for each

15*70*12

then 84*70

total amount. the above

Answer:

:>

Step-by-step explanation:

15 dollar for each

15*70*12

then 84*70

total amount. the above

Answer:

y = -2x + 5

[tex]\frac{risex}{run} = slope =[/tex]Δy/Δx = -8/4 = -2

Step-by-step explanation:

[tex]9 \geqslant w \\ \\ - 7 \leqslant w[/tex]

"9 is greater than or equal to w" translates to [tex]9 \ge w[/tex] which flips to [tex]w \le 9[/tex]. We swap both sides and flip the inequality sign as well.

"-7 is less than or equal to w" translates to [tex]-7 \le w[/tex]

We have [tex]-7 \le w[/tex] and [tex]w \le 9[/tex] which then ultimately combine into the compound inequality [tex]-7 \le w \le 9[/tex]

Answer:

[tex] > [/tex]

Step-by-step explanation:

The denominators are the same so, you have to look at the numerator which is greater, - 1 is greater because it's close to 0

Answer:

it's most most probably option d becoz I studied In different way so... as per me d ... figure is quite diff but d

Answer:

c=82

Step-by-step explanation:

Answer:

The answer is 82!

Step-by-step explanation:

(18)^2 + (80)^2 is 6724, which has a square root of 82.

Given,

_______________

Find KJ .

_______________

First find the value of x

[tex] \sf \: GK \: = KJ \\\sf 2x + 10 = 3x - 15 \\\sf 2x - 3x = - 15 - 10 \\ \sf - x = - 25 \\ \sf \: - > \boxed{\bf \: x = 25}[/tex]

Now, find the value of KJ.

[tex]\sf3x - 15 \\ \sf= 3(25) - 15 \\ \sf=7 5 - 15 \\ = \boxed{\bf \: 60}[/tex]

-> The value of KJ is 60.

_______________

Hope it helps.

RainbowSalt2222

Answer:

KJ = 60

Step-by-step explanation:

In order to find the length of KJ we must find the value of x

Perpendicular bisectors split lines into two EQUAL parts.

If GJ is bisected then the two parts that make it up are equal to each other.

In other words GK = KJ

If GK = 2x + 10 and KJ = 3x - 15 then

2x + 10 = 3x -15

Solve for x

2x + 10 = 3x -15

Subtract 2x from both sides

10 = x - 15

Add 15 to both sides

x = 25

Now to find KJ we simply plug in the value of x into KJ's given expression

Expression given: 3x - 15

x = 25

KJ = 3(25) - 15

Multiply 3 and 25

KJ = 75 - 15

Subtract

KJ = 60

Answer:  80 cubic meters (choice B)

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

Explanation:

The floor of the pyramid is a pentagon made of five congruent isosceles triangles as shown in the diagram below. Each triangle has a base of 6 meters and height 2 meters. The base and height are always perpendicular.

Each triangle mentioned therefore has area base*height/2 = 6*2/2 = 12/2 = 6 square meters. Five such triangles results in a total area of 6*5 = 30 square meters. This is the area of the pentagonal floor.

We'll multiply this area by the height of the pyramid (8 meters) and then take 1/3 of this to get the pyramid's volume

volume = (1/3)*(area of floor)*(height of pyramid)

volume = (1/3)*(30)*(8)

volume = 10*8

volume = 80 cubic meters

Answer:

-3

Step-by-step explanation:

When a line is perpendicular, the slope becomes the opposite to the original. If the slope is 1/3, the perpendicular line's slope would be -3.

Answer:5

Step-by-step explanat[tex]\sqrt{5} = 5[/tex]

[tex]\sqrt{5}[/tex]  = 2.23

Answer:

(B) 3

Step-by-step explanation:

Remember that a parallel lines always have the same slope!

interest=4000

amount =6000

time =4yr

principal =6000-4000

=2000

interest=principal×time×rate/100

4000= 2000×4×r/100

4000=8000×r/100

r=8000-4000/100

r=2000/100

r=20

Answer:

12.5 %

Step-by-step explanation:

I = PRT

I is the interest, P is the Principle, R is the Rate and T is the time

The interest is 6000- 4000 = 2000

2000 = 4000* R *4

2000 = 16000R

Divide each side by 16000

2000/16000 = R

.125 = R

Changing to percent form

12.5 %

Answer:

12cm^2

Step-by-step explanation:

The first thing we want to do is find out what type of quadrilateral is shown so we can identify a formula we can use to solve for the area

The quadrilateral shown is a trapezoid

It's a trapezoid because it has four sides and one pair of parallel sides ( side AD and side BC are both formed vertically making them parallel as they can be extended an infinite length and will never intersect. ) This being the properties of a trapezoid

Now that we have identified the type of quadrilateral that the figure is, let's find the area.

Area of a trapezoid formula:

A = (a+b/2)h

Where a and b = bases and h = height

* Identify variable of quadrilateral shown*

( Note that each unit = 1cm )

The bases have lengths of 4 units (4cm) and 2 units (2cm)

The height can be represented by an imaginary line from a to c

From a to c is 4 units (4cm)

Now that we have identified the variables let's plug them into the formula

A = (a+b/2)h

a = 4

b = 2

h = 4

* Plug the variables into the formula *

A = (4+2)/(2)4

If you plug this into a calculator you get that the area is 12

If you need the work for evaluation here it is:

Evaluate using PEMDAS

Parenthesis

Exponents

Multiplication and Division ( left to right)

Addition and Subtraction ( left to right )

(4+2)/2 * 4

First step is to evaluate the operations inside of the parenthesis (4+2)

6/2 * 4

The next step is to evaluate exponents

There are no exponents so we move on to multiplication and division evaluate whatever come first going left to right

First comes division

3 * 4

Then multiplication

A = 12.

Answer:

305

Step-by-step explanation:

We are adding 3 each time

5+3 = 8

8+3 = 11

The formula for an arithmetic sequence is

an = a1+d(n-1) where a1 is the first term and d is the common difference

an = 5+3(n-1)

We want the 101 term

a101 = 5 +3(101-1)

      = 5+3(100)

    = 5+300

   = 305

Answer:

The question is incomplete, but after a small search I've found that the complete question is something like:

To celebrate something, a teacher will make pizzas for the class.

There are 30 students in his class and each pizza serves 8

Julio will bring the pizza sauce. Which point should Julio use to determine the amount of pizza sauce he needs to bring?

In a graph, the vertical axis is represented with the variable y, which is defined as the dependent variable, while the horizontal axis represents the variable x, which is the independent variable.

The notation for a point in that graph is (x, y)

Here, we know that the x-axis represents the number of pizzas, and the y-axis represents the number of cups of pizza sauce needed for the x pizzas.

So, for example, the point (3, 2) means that:

for x = 3 pizzas, you need y = 2 cups of pizza sauce.

So, now let's find the number of pizzas that will feed the whole class.

There are 30 students, Each pizza serves for 8.

Then the number of pizzas needed is:

30/8 = 3.75 pizzas.

But we can round it to 4 pizzas because making a 0.75 of a pizza does not make a lot of sense.

Then we could use point B, which is (4, 2.6)

This means that, for 4 pizzas, they need 2.6 cups of pizza sauce.

So Julio should bring 2.6 cups of pizza sauce.

Which point should Julio use to determine the amount of pizza sauce he needs to bring?

(B 4,26)

Answer:

Step-by-step explanation:

Given,

l || m

Therefore,

142° + (3x+8)° = 180° [Since Co-exterior angles]

=> 3x + 8 = 180 - 142

=> 3x + 8 = 38

=> 3x = 38 - 8

=> 3x = 30

[tex] = > x = \frac{30}{3} [/tex]

=> x = 10 (Ans)

Answer:

B and C

Step-by-step explanation:

A is actually 5 so it is an integer and 0 is considered and integer.

Answer:

B is going to be half the intercepted arc

<ABC = 80

<CAB = 55

mARC(AB) = 90

mARC(BC) = 110

Step-by-step explanation:

Answer:

It's rational because it's not a decimal numbet

Answer:

[tex]\bf \large \longrightarrow \: \:6 \: - \: 4 \: (3x - 2) \: + \: 4x[/tex]

[tex]\bf \large \longrightarrow \: \:6 \: - \: 12x \: + \: 8 \: + \: 4x[/tex]

[tex]\bf \large \longrightarrow \: \:14 \: - \: 12x \: + \: 4x[/tex]

[tex]\bf \large \longrightarrow \: \:14 \: - \: 8x[/tex]

[tex]\bf \large \longrightarrow \: \: - 8x \: + \: 14[/tex]

The expression of 0.785 in the form p/q is 157/200

The ratio is defined as a way of dividing a variable by another variable.

Given the decimal number 0.785, to convert to fraction, we will place divide 785 by 1000 (since the decimal is on thousandth)

0.785 = 785/1000

Express in its simplest form

785/1000 = 157/200

Hence 0.785 written in the form p/q is 157/200 where p = 157 and q = 200.

Learn more on ratio here: https://brainly.com/question/19473677

Answer:

n-32

Step-by-step explanation:

edmentum

Answer:

3,6

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

The graph clearly shows that x=>3

Answer: D. Angles that form a linear pair are sometimes supplementary.

That is not true, linear pairs are always supplementary.

Answer:

D. Angles that form a linear pair are sometimes supplementary.

~OAmalOHopeO

Answer:

22 mm

Step-by-step explanation:

Answer:

600

Step-by-step explanation:

Volume of cuboid = l x w x h

length = 12

width = 10

height = 5

12 x 10 x 5 = 600 yd^3

answered by g a u t h m a t h