Decide!!!!!!!!!!!!!!

Decide!!!!!!!!!!!!!!

Answers

Answer 1

A third alternative to the formulas I suggested in a comment is to use the vector cross product. Recast the three given points as points in 3D space with 0 z-coordinate:

A(20, 21, 0), B(8, 29, 0), and C(13, 1, 0)

Now consider two vectors,

u = B - A = 〈8, 29, 0〉 - 〈20, 21, 0〉 = 〈-12, 8, 0〉

v = C - A = 〈13, 1, 0〉 - 〈20, 21, 0〉 = 〈-7, -20, 0〉

Then recall the cross product identity,

||u × v|| = ||u|| ||v|| |sin(θ)|

where θ is the angle between the two vectors. The magnitude of u × v is equal to the area of the parallelogram spanned by u and v, and hence twice the area of the triangle of interest.

So we have

area = ||1/2 〈-12, 8, 0〉 × 〈-7, -20, 0〉||

area = 1/2 ||〈-12, 8, 0〉 × 〈-7, -20, 0〉||

area = 1/2 ||〈0, 0, 296〉||

area = 296/2

area = 148


Related Questions

please help me out on this problem!
the main floor of an auditorium ranges from 6 feet below the stage
to 8 feet above the stage. the floor of the balcony ranges from 26 to 37 feet above the stage. write the range of the floor levels relative to the stage in interval notation and in set-builder notation.

Answers

This is a simple problem of ranges, we will find that the ranges for the main floor and the balcony are:

[-6ft, 8ft] or {x ∈ R | -6ft ≤ x ≤ 8ft}

[26ft, 37ft] or {x ∈ R | 26ft ≤ x ≤ 37ft}

respectively.

We know that:

The main floor of the auditorium ranges from 6ft below the stage  to 8 feet above the stage.

The floor of the balcony ranges from 26 to 37 feet above the stage

The ranges relative to the stage will be, in interval notation, the interval that contains the two extremes of the range.

For the main floor, it goes from -6ft to 8ft (the first one is negative because is 6ft below the stage) then this interval will be: [-6ft, 8ft]

While in set-builder notation we want to specify that the variable must be a real number, so we start with: {x ∈ R

And we need to specify that x can go from -6ft to 8ft, then we add the restriction:

{x ∈ R | -6ft ≤ x ≤ 8ft}

Notice that we use a close interval here.

While for the balcony, the minimum is 26ft and the maximum is 37ft, then the interval will be [26ft, 37ft]

For the set-builder notation we will have:

{x ∈ R | 26ft ≤ x ≤ 37ft}

If you want to learn more, you can read:

https://brainly.com/question/19159374

Mike sold H hats. Nate sold three times as many hats as Mike. Write an expression for the number of hats Nate sold.​

Answers

Answer:

3 times Mike's amount = 3h

please answer this math

Answers

6 cm squared I believe

The side of a cube is 3^4 centimeters long. What is the volume of the cube?​

Answers

Step-by-step explanation:

v=s^3 s=3^4=81

v=(81)^3

v=531,441 cm^3

Which One Does Not Belong? EXPLAIN your REASONING

Answers

Answer:

The last one

Step-by-step explanation:

0.3333..., 30%, 3/10 are parts.

The last one ( 3 circles) are 3 wholes.

(whole numbers)

I hope this helped:)...

:-)

Hey there! I'm happy to help!

30% is the same thing as 0.3, which is 30% of 1.

0.3 is what you multiply numbers if you want to see what 30% of that number is as 0.3 is 30% of 1, the whole number.

3/10 is the same value as 30% because 3 divided by 10 is equal to 0.3, which is 30%.

The dots in the boxes are also the same thing as 3/10. There are 10 boxes, and 3 out of the 10 have dots, which is 3/10 and 30%.

The one that does not belong is 0.333333...... This is equivalent to 1/3, which is greater than 30%, 0.3, and 3/10.

Have a wonderful day and keep on learning! :D

A train travels 625 kiy north in 15 hours. What is the bus's velocity?

Answers

Answer:

41.6666667

Step-by-step explanation:

Velocity = distance/time

Velocity = 625/15

Velocity = 41.6666667

How many decimal places does
0.005011
have please? :)

Answers

Answer:

6

Step-by-step explanation:

6 decimal places

0.005011 has six decimal places.

What is a decimal place?

'The place value of a decimal number is recognized according to the position of the dot or decimal point. The first digit to the right of the decimal point indicates the number of tenths and the second digit to the right indicates the number of hundreths.'

According to the given problem,

For the number 0.005011, after the decimal there are numbers up to the sixth place which is that there are six numbers.

For counting decimal places, we need to count the number of digits present to the right of decimal point.

Hence, we can conclude that 0.005011 has 6 decimal places.

Learn more about decimal places here:

https://brainly.com/question/26568840

#SPJ2

3. At a local high school championship football game, 595 tickets were sold. A student
admission ticket costs $1.50 and an adult admission ticket costs $5. The sum of all ticket
receipts for the game was $1750. How many of each type of ticket were sold?

Answers

Suppose x are the tickets sold for students (x >= 0)
Because 595 tickets were sold, so 595 - x will be the tickets sold for adults

=> x*1,5 + (595 - x)*5 = 1750
<=> 1,5x + 2975 -5x = 1750
<=> -3,5x = -1225
<=> x = 350
We have 595 - 350 = 245
In conclusion, 350 tickets were sold for students
And 245 tickets were sold for adults

ITS NUMBER 10. THAT I NEED HELP WITH

Answers

Matt. his answer should be 2.8x + 16

Gina rented a truck for one day there was a base fee of 1275 there was an additional charge of 20 cents for each mile driven the total cost c in dollars for driving in miles is given by the following function

Answers

Answer:

[tex]1275+0.2m=c[/tex]

m is the amount of miles driven, c is the total cost.

Step-by-step explanation:

Since she has a flat fee of 1275, that's the 1275 in the equation and since we don't know how many miles she drives, that's the m in the equation for miles driven. Since each mile costs 0.20, that's the 0.2 in the equation. And since c is the total cost in dollars, that's the c in the equation.

Evaluate the algebraic expression for the given value of the variable.
x2 + 7x; x = 5

Answers

5^2+(7x5)
25+35
Answer is 60

Write 0.8 as a fraction in simplest form.

Answers

I’m pretty sure it’s 4/5…

Answer:

Step-by-step explanation:

[tex]0.8 = \dfrac{8}{10}=\dfrac{2*4}{2*5}=\dfrac{4}{5}[/tex]

Someone help please

1= 39 degrees
2: 40 degrees
3: 41 degrees
4: 42 degrees

Answers

Answer:

A

Step-by-step explanation:

This uses the sine law.

Sin(theta)/113 = sin(42)/120             Multiply both sides by 113

sin(theta) = 113*sin(42)/120

sin42 = 0.6691

sin(theta) = 113 * 0.6691 / 120

sin(theta) = 0.630008

theta = sin-1(0.63008)

theta = 39.1    Looks Like A

Amir stands on a balcony and throws a ball to his dog, who is at ground level.
The ball's height (in meters above the ground), xxx seconds after Amir threw it, is modeled by:
h(x)=-(x-2)^2+16h(x)=−(x−2)
2
+16h, left parenthesis, x, right parenthesis, equals, minus, left parenthesis, x, minus, 2, right parenthesis, squared, plus, 16
How many seconds after being thrown will the ball hit the ground?

Answers

Answer:

6 seconds

Step-by-step explanation:

h(x)=-(x-2)^2+16

We want h(x) to be 0 ( that is when the ball hits the ground)

0 = -(x-2)^2+16

Subtract 16 from each side

-16  = -(x-2)^2+16-16

-16 = -(x-2)^2

Divide by -1

16 = (x-2)^2

Take the square root of each side

sqrt(16) = sqrt((x-2)^2)

±4 = x-2

Add 2 to each side

2±4 = x-2+2

2±4 =x

2+4 = x   2-4 = x

6 =x  -2 =x

Time cannot be negative so x=6

Answer:

X = 6

Step-by-step explanation:

hope it will help you

please help ill mark brainliest and add explanation too pleas

Answers

Step-by-step explanation:

In A,

length=3units

width=2 units

area=length×width

area=3×2 sq.units

area=6 sq.units

In B,

length=1unit

width=4units

area=length × width

area=1unit × 4units

area= 4 sq.units

Note:if you need to ask any question please let me know.

It take 5 minutes to help a restock an area. How much areas can you restock in 50 minutes?

Answers

Answer:

10 areas

Step-by-step explanation:

5 minutes = 1 area

→ Divide the 50 by the 5

50 ÷ 5 = 10

→ Multiply this by the area

10 × 1 = 10

describe two ways 100 and 10 are related​

Answers

Answer:

YES WE CAN SAY THAT 100 AND 10 ARE RELATED AS 10×10=100 AND 100÷10=10

Find the distance between the two numbers on a number line. Write your answer as a decimal.
-2.2, 8.4

Answers

Answer

10.6

Explanation

Logic

the complement of an angle is 32 more than three times the angle. what are the angles

Answers

Please check this out I think it’s correct !!!

Answer:

Let 3x+32 - be the complement angle

x - be the angle

Therefore,

3x+32+x = 90

4x = 58

x = 14.5°

and the compliment is, 75.5°

Hope that helps!

Claculus, whoever can answer ill give brainlyest

Answers

The table suggests that f(x) approaches a value of 6.5 as x approches 3, or in other words, that

[tex]\displaystyle \lim_{x\to3}f(x) = 6.5[/tex]

Answer:

they are  proportional

Step-by-step explanation:

When one goes up so does the other

What was the result of John overdrawing his checking account?

Answers

Answer:

What do you mean

Step-by-step explanation:

The status of his account was – $114. He did not realize the problem and wrote another check for $35. The bank charged him a $18 fee for being overdrawn.

Points Z L and S are

Answers

Answer:

Question is?

Step-by-step explanation:

what's the que for Points Z L and S are

I really need help because I’m so confused where to start and it’s due tomorrow :(

Answers

Answer:

1. 8t+4v

A.9v+7t+6

S.14v+7t

third grade math answers

25+50=75

30+30=60

70+70=140

Answers

Answer:

What?

Step-by-step explanation:

Please answer in full

Answers

Answer:

1) 1/2 *bh

2) 2s+4

3) 35+2m

Answer:

1. 1/2bh

2. 2(s) + 4

3. 2m + $35

Step-by-step explanation:

1. Explanation: half the product of the base times the height can be written as 1/2 bh because as base is being multiplied by the height it will soon be half the product

2. Explanation: Man’s age can be described as 4 MORE THAN (add) TWO times (multiply) his son’s age

3. Explanation: $35

Plus an extra $2 per mile

How many miles??

Miles represented by m

Plz answer it's important

Answers

Answer:

AB = 4

Step-by-step explanation:

Since the line is horizontal then its length is the difference of the x- coordinates, that is

AB = | 8 - 4 | = 4 , or

AB = | 4 - 8 | = | - 4 | = 4

A ladder 13m long leans against a wall such that the top of the ladder is 12 m from the ground.how far is the foot of the ladder from the wall​

Answers

Answer:

5

Step-by-step explanation:

The pythagorean theorem

A^2+B^2=C^2

A^2 =12^2

b^2 is what you need to find

C^2= 13^2

so it's

144+B^2=169

-144         -144

B^2=25

square root of 25 is 5 which is the answer

what are the Properties of real numbers for 6425

Answers

Step-by-step explanation:

Properties of the number 6425

Factorization5 * 5 * 257Square root80.156097709407Natural logarithm8.7679519097634Decimal logarithm3.8078731320033Sine-0.42867294834975

Which of the following set of points represents a function?
(4,3), (2, 1), (2, 9). (9, 4)
(3,5), (4,5), (5,9), (7.-2)
(-1,2). (-1, 4), (-1,8), (-1,9)

Answers

Answer:

Each of the domain values, x, should only output a single unique range value, y.

This example is a relation and not a function because the the domain value of -1 output 2 distinct range values.

-1 outputs a 3

and

-1 outputs a 5

If I were to draw a vertical line at the domain value of -1 that vertical line would intersect the points (-1,3) and (-1,5). Which indicates that the relation is not a function.

Answer:

None of the following set of points represents a function .

6x - 3
2x – 1
A
B
10x – 1
#11: X =
1 point
Your answer
#12: AB =
1 point
Your answer

Answers

Answer:

Step-by-step explanation:

6x-3+2x-1=10x-18

8x-4=10x-18

18-4=10x-8x

14=2x

X=7

AB = (6*7)-3=39

BC=13

AC=39+13=52 or

AC=(10*7)-18=52

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