Which measurement is equivalent to 80 cm?

8,000 mm
0.8 m
0.08 km
8 m

Answers

Answer 1

Answer: The answer is the second one, 0.8m

Hope it is helpful :)

Answer 2

Answer: 0.8m is the answer because 0.1m is 10cm

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Justin wants to use 376ft of fencing to fence off the greatest possible rectangular area for a garden. What dimensions should he use? What will be the area of the garden?

Calculate the size of side x to 1 decimal
place. Show your working.

Answers

Answer:

$x=7.4$ m and $x=11.2$ m

Step-by-step explanation:

To do these problems, we will need to use the Pythagorean Theorem.

Recall that it states $a^2+b^2=c^2$ , where c is the longest side, the hypotenuse, of the triangle.

a) We have a triangle with side lengths 4.2 m and 6.1 m. These two sides correspond to a and b in this equation.

Now, we can plug these values into the equation and solve for c, which is x.

$(4.2)^2+(6.1)^2=x^2\n\n17.64+37.21=x^2\n\nx=√(54.85)\n\nx=7.406\n\nx=7.4$

b) We have a triangle with side lengths 5.1 m and 12.3 m. These sides correspond to a and c, so b will be x.

Now, we can plug these values into the equation and solve for x.

$(5.1)^2+x^2=(12.3)^2\n\n26.01+x^2=151.29\n\nx=√(151.29-26.01)\n\nx=√(125.28)\n\nx=11.193\n\nx=11.2$

Answer:

Step-by-step explanation:

Formula: A squared + B squared = C squared

For the first question:

4.2 squared = 17.64

6.1 squared = 37.21

17.64+37.21 = 54.85

C squared = 54.85

The square root of 54.85 = 7.4

So, x = 7.4 m

For the second question:

5.1 squared = 26.01

12.3 squared = 151.29

26.01 + 151.29 = 177.3

C squared = 177.3

The square root of 177.3 = 13.3

So, x = 13.3 m

Hope this helps!

Help! I'm not sure how to set this up. Here is the question; Faye paid $16.00 for a pair of shorts that were 20% off. What was the original price of the shorts.

Answers

80/100*n=16

80n=1600

n=1600/80=160/8=20

---------------------------------------

Original price: $20.00

The original price of the shorts would have been $19.20. To find this answer you would have to multiply and add.
First thing I did was turn 20% into a decimal by moving the decimal to the left 2 times.(.20)
Second thing I did was multiply 16.00*.20. Which came up to be 3.20.
The third thing that you would have to do is add 3.20 to the price Faye paid for the shorts.
3.20+16.00
And the original price would have came up to $19.20
Hope this helps:)

a rock is launched from a canon. it's height, h(x), can be represented by a quadratic function in terms of time, x, in seconds. After 1 second, the Rock is 58 ft in the air; after 2 seconds, it is 112 feet in the air. find the height, in feet, of the rock after 10 seconds in the air.

Answers

This is the quadratic function:
h(x)=ax²+bx+c

We have two points:
(1,58)
(2,112)

Now, we calculate this quadratic funtion.

we assume that h(0)=0
Therefore:
a(0)²+b(0)+c=0
c=0

(1,58)
a(1)²+b(1)=58
a+b=58 (1)

(2,112)
a(2)²+b(2)=112
4a+2b=112
2a+b=56 (1)

With the equations (1) and (2) we make a system of equations:
a+b=58
2a+b=56
we can solve this system of equations by reduction method.
-(a+b=58)
2a+b=56
---------------------
a=-2

-2(a+b=58)
2a+b=56
-------------------
-b=-60 ⇒ b=60

The function is:
h(x)=ax²+bx+c
h(x)=-2x²+60x

Now find the height, in feet, of the rock after 10 seconds in the air.

h(10)=-2(10)²+60(10)
h(10)=-200+600=400

Answer: 400 ft.

Answer: 400 ft.

For Plato

Debate this math question 3-3x6+2

Answers

For this question BODMAS should be used
BODMAS = Bracket Of Division Multiplication Addition Subtraction

SO, in 3-3x6+2. multiplication should be done first
= 3-18+2 Next addition should be done
= 3-16 And now subtraction
= -13

Answer = -13

The answer for 3-3x6+2 is 17. For this you need to use PEMDAS (Please Excuse My Dear Aunt Sally) to solve the problem. First, M stands for multiplication so you do 3x6 which is 18. Then, A is addition so add 2 to 18 which is 20. Lastly, S stands for subtraction so you subtract 3 from 20 and you get your answer, 17.

What is the slope of the line that passes through (3'-7)(-1'1)

Answers

Answer:

Slope of line passing through (3,-7) and (-1,1) = -2

Step-by-step explanation:

The slope of a line passing through points (x₁,y₁) and (x₂,y₂) is given by $(y_2-y_1)/(x_2-x_1)$

Here points are given by (3,-7) and (-1,1)

So we have (x₁,y₁) = (3,-7) and (x₂,y₂) = (-1,1)

Slope $=(1-(-7))/((-1)-3)=(8)/(-4) =-2$

Slope of line passing through (3,-7) and (-1,1) = -2

To solve for slope. Remember that slope, m= (change in y)-(change in x). So that means m= (y2-y1)/(x2-x1). Putting in the values we get (1--7)=(1+7)/(-1-3)= (8)/(-4)= -2. So m, or slope is -2.

1) what is the meaning of commutative property?2)what is the meaning of distributive property?
3)what is the meaning of associative property?

Answers

Commutative Property- is only applicable to addition and multiplication.
Like- a + b = b + a
That means we can swap numbers in addition.(The answer is the same)
a x b = b x a
That means we can swap numbers in multiplication.(The answer is the same)

Commutative is not applicable to subtraction and division as
a - b (is not) = b - a
And a / b (is not) = b / a

Distributive Property- Means we can distribute a number in to two parts and still get the same answer, applies to only addition and multiplication and-

Here lets take 2 and 4 as examples-

For addition-
2 + 4 + 3 = 9
(2 + 4) + 3 = 9

For multiplication-
2 x 4 x 5 = 40
(2 x 4) x 5 = 40

Associative Property- Means that you may change the order of the numbers but the answer is the same, much like commutative, its just that it applies to more than 3 numbers- (Addition and Multiplication only)

For addition-
2 + 3 + 4 = 9
3 + 2 + 4 = 9 also

For multiplication-
2 x 3 x 4 = 24
4 x 2 x 3 = 24 also

That's it!

Hope I helped!

$Communitive:a+b=b=a \n a*b=b*a \n \n Distributive:a(b+c) = ab+ac \n \n Associative:(1+2)+3=1+(2+3)$