Area is 27,405 cm and height is 18 cm what is the volume?

Answers

Answer 1

Answer: The volume would be 493,290cm since your are multiplying the area by height.

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I am factor of 48, I am bigger than 4 square. I am smaller than 5. WHAT IS THE MYSTERY NUMBER

Answers

If it is betwern 4² and 5² and is a factor of 48,Then it must be 24 as 24*2=48

48 would be your answer, this is a number between the factors 4^2 & 5^2

In a video game, two golfers tee off at hole 6, which has the coordinates (–32, –27). Golfer A’s ball lands at (–43, –18). Golfer B’s ball lands at (–44, –16). Which golfer hit the longer shot?

Answers

Answer:

Golfer B's hit the longer shot.

Step-by-step explanation:

In a video game, two golfers tee off at hole 6

Position of hole at (-32,-27)

Golfer A's ball lands at (-43,-18)

Golfer B's balls lands at (-44,-16)

Distance formula:

$d=√((x_2-x_1)^2+(y_2-y_1)^2)$

Distance of shot of Golfer A's $=√((-32+43)^2+(-27+18)^2)=√(11^2+9^2)\approx 14.21$

Distance of shot of Golfer B's $=√((-32+44)^2+(-27+16)^2)=√(12^2+11^2)\approx 16.28$

16.28 > 14.21

Golfer B's shot > Golfer A's shot

Hence, Golfer B's hit the longer shot.

Using Pythagoras' theorem, you can work out the distance the balls travelled.
Golfer A: -43 - -32 = -43 + 32 = -11
-27 - -16 = -27 + 16 = -11
a² + b² = c²
(-11)² + (-11)² = √242 = 15.556

Golfer B: -44 - -32 = -44 + 32 = -12
-27 - -16 = -27 + 16 = -11
a² + b² = c²
(-11)² + (-12)² = √265 = 16.278

∴ B hit the longest shot.

Does anyone know how to do factoring? n^2-15n+56

Answers

first, find 2 numbers that multiply to 56 and add to -15 (-8,-7)
therefore, the factored version is (n-7) (n-8)
:)

Let f be a function of two variables that has continuous partial derivatives and consider the pointsA(8, 9),

B(10, 9),

C(8, 10),

and

D(11, 13).

The directional derivative of f at A in the direction of the vector AB is 9 and the directional derivative at A in the direction of

AC is 2. Find the directional derivative of f at A in the direction of the vector AD.

(Round your answer to two decimal places.)

Answers

Answer:

The directional derivative of f at A in the direction of $\vec{u}$ AD is 7.

Step-by-step explanation:

Step 1:

Directional of a function f in direction of the unit vector $\vec{u}=(a,b)$ is denoted by $D\vec{u}f(x,y)$ ,

$D\vec{u}f(x,y)=f_(x)\left ( x ,y\right ).a+f_(y)(x,y).b$ .

Now the given points are

$A(8,9),B(10,9),C(8,10) and D(11,13)$ ,

Step 2:

The vectors are given as

AB = (10-8, 9-9),the direction is

$\vec{u}_(AB) = (AB)/(\left \| AB \right \|)=(1,0)$

AC=(8-8,10-9), the direction is

$\vec{u}_(AC) = (AC)/(\left \| AC \right \|)=(0,1)$

AC=(11-8,13-9), the direction is

$\vec{u}_(AD) = (AD)/(\left \| AD \right \|)=\left ((3)/(5),(4)/(5) \right )$

Step 3:

The given directional derivative of f at A $\vec{u}_(AB)$ is 9,

$D\vec{u}_(AB)f=f_(x) \cdot 1 + f_(y)\cdot 0\nf_(x) =9$

The given directional derivative of f at A $\vec{u}_(AC)$ is 2,

$D\vec{u}_(AB)f=f_(x) \cdot 0 + f_(y)\cdot 1\nf_(y) =2$

The given directional derivative of f at A $\vec{u}_(AD)$ is

$D\vec{u}_(AD)f=f_(x) \cdot (3)/(5) + f_(y)\cdot (4)/(5)$

$D\vec{u}_(AD)f=9 \cdot (3)/(5) + 2\cdot (4)/(5)$

$D\vec{u}_(AD)f= (27+8)/(5) =7$

The directional derivative of f at A in the direction of $\vec{u}_(AD)$ is 7.

Sebastian gathered data by surveying his neighbors comparing how much time they spend on the internet to how much mail they receive in a week. Explain the steps Sebastian should take in order to analyze the data.

Answers

Step-by-step explanation:

1. The first is a tabulation of the data, in an organized, clear and concise way for each event.

2. After tabulation, for a better understanding of the data, statistical data, such as the mean, median, and standard deviation of each event, should be collected.

3. Finally, graph the data obtained to see the trend of both cases and thus have a very precise way to make the comparison of both events

I am the number that is 5000 greater than the smallest number you can make using six of the digits? 1 8 3 4 9 6 2 7

Answers

The number is 128,467

the answer would be 128,467

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