L= 1/2 (4+12) 1/2 (3a)

Answer:

0.8660254 or √3/2

Step-by-step explanation:

Answer:

√3/2

Hope this helps

Answer:

Step-by-step explanation:

A

Answer:

96

Step-by-step explanation:

:)

Answer:

i) 524.25feet

ii) 11secs

Step-by-step explanation:

1) Given the height of the rocket modelled by the equation

h = -16t² + 180t + 18 where

t is in seconds

At the maximum height, the velocity of the object is zero.

v(t) = dh/dt = 0

dt/dt = -32t + 180

0 = -32t + 180

32t = 180

t = 180/32

t = 5.625secs

Get the maximum height

h = -16t² + 180t + 18

h = -16(5.625)² + 180(5.625) + 18

h = -16(31.640625)+ 180(5.625) + 18

h = -506.25+1,012.5+18

h = 524.25feet

Hence the maximum height a launched item  could reach is 524.25feet

ii) The item will hit the water at h = 0

Substitute inti the expression

h = -16t² + 180t + 18

0 = -16t² + 180t + 18

16t² - 180t - 18 = 0

Divide through by 2

8t² - 90t - 9 = 0

t = 90±√90²-4(8)(-9)/2(8)

t = 90±√8100+288/16

t = 90±√8,388/16

t = 90±91.586/16

t = 90+91.586/16

t = 181.586/16

t = 11.35sec

Hence the item hit the water after 11secs (to nearest whole number)

Answer:

Try 11

Step-by-step explanation:

11 -33+63-38=3

Answer:

2.86 hours

Step-by-step explanation:

Ricky and Lucy are 40 miles apart on bicycles heading towards each other on the same road. Ricky bicycles at 8 mph and Lucy rides at 6 mph. In how many hours will they meet?

Speed = Distance/time

Distance = Speed × time

t = ?

Hence,

8mph ×t + 6 mph × t = 40 miles

8t + 6 t = 40 miles

14t = 40 miles

t = 40/14

t = 2.86 hours

They will meet in 2.86 hours

Answer:

c

Step-by-step explanation:

Answer:

$1215 x 15 = $18225 This is over 15 years.

Answer:

Ms. Powell paid around 33 cents for each cookie

Ms. Malley paid around 43 cents for each cookie

Ms. Powell had the better deal

Step-by-step explanation:

Divide the amount paid with the amount of cookies bought so 4 ÷ 12 = 0.3333... and 3.50 ÷ 0.4375...

I hope this helped!

1) Approximately ¢33 per cookie

2) Approximately ¢29 per cookie

Ms. Powell had a better deal

Answer:

C,D,E are equivalent to 5/7

Answer:

Sin(Ф) = Opposite / Hypotenuse

We know that Opposite = 6, and

Hypotenuse = 3/4 or 0.75

So,

Sin(Ф) = 6 / 0.75

Sin(Ф) = 8

So the value of sin of Ф would be 8

Hope this helps!

Answer:

[tex]A=256.67ft^2[/tex]

Step-by-step explanation:

From the question we are told that:

Fan oscillates [tex]\theta=250[/tex]

Distance [tex]d=>Raduis\ r=4 feet[/tex]

Since

 [tex]250\textdegree =180\textdegree +70\textdegree[/tex]

Generally the equation for the area A is mathematically given by

 [tex]Area=Area\ of\ semi\ circle\ + area\ of\ 70\textdegree sector[/tex]

 [tex]A=A_{sm}+A_{70\textdegree}[/tex]

Where

 [tex]A_{sm}=\frac{1}{2} \pi r^2[/tex]

 [tex]A_{sm}=\frac{1}{2} 3.14 4^2[/tex]

 [tex]A_{sm}=25.12ft^2[/tex]

 [tex]A_{70\textdegree}=\frac{1}{2}r^2 \frac{70\textdegree}{360\textdegree}[/tex]

 [tex]A_{70\textdegree}=\frac{1}{2}*4^2* \frac{70\textdegree}{360\textdegree}[/tex]

 [tex]A_{70\textdegree}=1.55ft^2[/tex]

Therefore the area A is given as

 [tex]A=A_{sm}+A_{70\textdegree}[/tex]

 [tex]A=25.12ft^2+1.55ft^2[/tex]

 [tex]A=256.67ft^2[/tex]

Answer:

x = 17.9

Step-by-step explanation:

sin 42° = 12/x

x = 12/sin 42°

x = 17.9

Answer:

17.9

Step-by-step explanation:

> sin 42° = 12/x

> x = 12/ sin 42°

> x = 17.9

Answer:

The distance between the two points is: √145≈12.04 to 2 decimal places.

Step-by-step explanation:

If using a grid it will make the answer easier to solve.

Answer:

21units

12 units + 9 units

Answer:

x=-3

Step-by-step explanation:

Answer: C. 6 bags

Step-by-step explanation:

To solve this, you need to calculate the area of every shape in the garden and then sum them up.

Semi circle:

Area of semi-circle = (π * radius²) / 2

Radius = Diameter/ 2 = 18/2 = 9 feet

Area = (3.14 * 9²) / 2

= 127.17 ft²

Rectangle:

= Length * Width

= 18 * 8

= 144 ft²

Triangle

= 1/2 * base * height

= 1/2 * 18 * 18

= 162 ft²

Added up:

= 127.17 + 144 + 162

= 427.17 ft²

If each bag covers 75 ft² each, the number of bags needed is:

= Area to cover / Coverage per bag

= 427.17 / 75

= 5.7

= 6 bags

Answer:

A = [84]in^2

Step-by-step explanation:

5 x 3 = 15

4 x 2 = 16

9 + 4 = 13 x 4 = 52

52 + 15 + 16 = 84in

Answer:

The answer is 13/4

Step-by-step explanation:

I divides and cross miltiplied.

Answer:

y = -9

Step-by-step explanation:

Complete question;

Which equation represents the line y = 1/4 that is perpendicular to and passes through (-6,-9)?

The equation of the line in point slope form is y-y0 = m(x-x0)

Given the equation y = 1/4, the slope of the line is zero

Substitute the slope and the point into the formula;

y -(-9) = 0(x-(-6)

y + 9 = 0

y = -9

Hence the required equation is y = -9

Answer:

Step-by-step explanation:

Answer:

44

Step-by-step explanation:

[tex]11 + 11 + 11 + 11 = 11 * 4 = 44[/tex]

Answer:

The answer is 48

Step-by-step explanation:

Have a nice day

Answer:

to find the equivalent positive angle of a negative angle, just add 360 to it until it becomes positive and is between 0 and 360 degrees. -244 + 360 = 116.

Step-by-step explanation:

Answer:

(10, 3)

Step-by-step explanation:

Answer:

an attractive force that acts between all objects without contact

Step-by-step explanation:

an attractive force that acts between all objects without contact

You are pulled down by gravity when you jump

Answer:

an attractive force that acts between all objects without contact

The force of gravity, first discovered by Isaac Newton, is one of the four fundamental forces. It is a force that is always attractive, and it is exerted between all objects that have mass. Also, the force is exerted even when the two objects are not in contact.

The magnitude of the force of gravity between two objects is given by where

G is the gravitational constant

m1 and m2 are the masses of the two objects

r is the distance between the two objects

Step-by-step explanation:

MRK ME BRAINLIEST PLPZZZZZZZZZZZZZZZZ

Answer:

70 percent susheeiiesoosos

Answer: B. Each month, Zohal read more books than the month before

Step-by-step explanation: The bars went up each month getting higher and higher. Hope this helps!!

Answer:

B.

is the answer

hope it helprd

Answer:

In the picture

Step-by-step explanation:

First, find a function for each line.

-2x - 2 fits the green line because for every x value, y is -2(x) - 2.

2x + 1 fits the red line because for every x value y is 2(x) + 1.

You also need to include "if." -2x -2 if x < 0.

For the red line, the dot is closed so if x ≥ 0.

Answer: A. 2/3 B. 8/9 C. 3/10 D. 9/11 E. 3/4 F. 1/5

Step-by-step explanation:

Answer:

Part A

The 10% rule is not met

Part B

The normal condition is not met

Step-by-step explanation:

The given data of the pieces of chocolate are;

The number of chocolates in the sample, n = 18

The number of white chocolate in the batch = 17

The number of dark chocolates in the batch = 43

Given that [tex]\hat p[/tex] is the proportion of white chocolates in the sample, we have;

The proportion of white chocolates in the batch, p = 17/60 = 0.28[tex]\overline 3[/tex]

Part A

The 10% condition states that the size of the sample should be less than or equal to 10% of the population because taking samples without replacing them does not result in independent Bernoulli trials

The given sample size, n = 18, which is 18/60×100 = 30% > 10% of the batch, therefore, the 10% rule is not met in the present situation

Part B

The normal approximation can be assumed when we have;

n·p > 10 and n·p·(1 - p) > 10

By plugging in the values for 'n' and 'p', we have;

p = 0.28[tex]\overline 3[/tex] = 17/60

n·p = 18 × 17/60 = 5.1 < 10

n·p·(1 - p) = 18 × 17/60 × (1 - 17/60) = 3.655 < 10

Therefore the normal condition is not met.

Answer: Low

The overlap of data set 1 and data set 2