How many millimetres are there in 5.5 litres?

Answers

Answer 1
Answer: l-liter\nmm-milimeter\ndm-decimeter\n--------------------\ndeci\ (d)=0.1\ of\ some\ value\nmilli\ (m)=0.001\ of\ some\ value\n-----------------\ntherefore\ 1dm=100mm\n-----------------\n1l=1dm^3\n1dm^3=(100mm)^3=100^3mm^3=1,000,000mm^3\n---------------------\nYour\ a\ question:\n\n5.5l=5.5dm^3=5.5\cdot1,000,000mm^3=5,500,000mm^3

Scientific\ notation:\n\n5,\underbrace{500,000}_(\leftarrow6)mm^3=5.5\cdot10^6mm^3
Answer 2
Answer: 1L=1decimetre³=10⁶mm³
5.5L=5.5*10⁶mm³

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If 0.00005893 is expressed in the form 5.893 × 10n, what is the value of n ?Can anyone explain this one?

Answers

In the scientific value of 5.893 x 10n. The standard value is 0.00005893 what is n? To better illustrate this phenomenon, we can explain it further under the rules of scientific notation.
For example.
1.
 3 x 10^3 = 3 x 100 = 300

2.  3 x 10^-3 = 3 x 0.001 = 0.003

Solution:
0.00005893 = 5.893 x 0.00001 = 5.893 x 10^-5  
n= ^-5



Ray is purchasing a laptop that is on sale for 25% off. He knows the function that represents the sale price of his laptop is c(p) = 0.75p, where p is the original price of the laptop. He also knows he has to pay 8% sale's tax on the laptop. The price of the laptop with tax is f(c) = 1.08c, where c is the sale price of the laptop.Determine the composite function that can be used to calculate the final price of Ray's laptop by solving for f[c(p)].

f[c(p)] = 1.83p
f[c(p)] = 1.83cp
f[c(p)] = 0.81p
f[c(p)] = 0.81cp

Answers

Answer: f[c(p)]=0.81p

Step-by-step explanation:

Given: Ray is purchasing a laptop that is on sale for 25% off.

The function that represents the sale price of his laptop :

c(p) = 0.75p, where p is the original price of the laptop.

The price function of the laptop with tax :

f(c) = 1.08c, where c is the sale price of the laptop.

Now, consider the composite function that can be used to calculate the final price of Ray's laptop .

\text{ i.e.  }f[c(p)]=f[0.75p]\n\n\Rightarrow f[c(p)]=1.08(0.75p)\n\n\Rightarrow f[c(p)]=0.81p

c(p) = 0.75p   where p is the original price of the laptop
f(c) = 1.08c    where c is the sales price of the laptop

the composite function is:

f(c(p)) = 1.08(0.75p)
f(c(p)) = 0.81p


11.Can 90 degree, 90degree and 20 degree form a triangle? *1 pointyesnosometimesnone of these​

Answers

Final answer:

Angles of a triangle always add up to 180 degrees. The given angles (90, 90, 20 degrees) give a total of 200 degrees, hence they cannot form a triangle.

Explanation:

In order for three angles to form a triangle, they must satisfy the triangle inequality theorem, which states that the sum of the measures of any two angles in a triangle must be greater than the measure of the third angle.

In this case, you have angles measuring 90 degrees, 90 degrees, and 20 degrees. Let's apply the theorem:

1. Angle 1: 90 degrees

2. Angle 2: 90 degrees

3. Angle 3: 20 degrees

Now, let's check if these angles satisfy the triangle inequality theorem:

- Angle 1 + Angle 2 = 90 degrees + 90 degrees = 180 degrees

- Angle 3 = 20 degrees

According to the theorem, the sum of any two angles must be greater than the measure of the third angle. However, in this case, the sum of Angle 1 and Angle 2 (180 degrees) is not greater than Angle 3 (20 degrees). Therefore, these angles do not satisfy the triangle inequality theorem.

So, the answer is "no," 90 degrees, 90 degrees, and 20 degrees cannot form a triangle because they do not satisfy the triangle inequality theorem.

Learn more about Angles of a triangle

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Answer:

no. never.

Step-by-step explanation:

total internal angles of a triangle sum to 180. 90 + 90 is 180 so no, you cannot have a triangle with sides 90 90 and 20. it is possiblw to have 90 45 and 45 though

Solve x divided by six equals eight

Answers

Hi there. X/6 =8. Crops multiply X=6*8 so x= 48
x:6=8\to(x)/(6)=8\ \ \ \ |multiply\ both\ sides\ by\ 6\n\n\boxed{x=48}

What polynomial identity should be used to prove that 16^2=(10+6)^2? (A. Difference of Cubes; B. Difference of Squares; C. Square of Binomial; D. Sum of Cubes)

Answers

Answer:

C. Square of Binomial

Step-by-step explanation:

To prove the identity you should use square of Binomial that states the following:

(a+b)^(2)=a^(2)+2ab+b^(2)

Lets prove it, so first take the equation to solve:

(10+6)^(2)

Then square the first term:

(10+6)^(2)=10^(2)

Then multiply by 2 the first and second terms:

(10+6)^(2)=10^(2)+2(10)(6)

Finally square the second term:

(10+6)^(2)=10^(2)+2(10)(6)+6^(2)

Solve the values:

(10+6)^(2)=100+2(10)(6)+6^(2)

(10+6)^(2)=100+120+6^(2)

(10+6)^(2)=100+120+36

(10+6)^(2)=256

And prove the polynomial identity:

16^(2)=256

not difference of cubes since it is 2nd degree
not difference of squares since it is plus
not sum of cubes because 2nd degreee

answer is square of binomial (why do we even need this property, oh well)


C

The length of a rectangle is 5 feet more than twice the width. The perimeter is 130 feet. Find the dimensions.

Answers

So,

The problem tells us that the length of the rectangle is 5 feet more than twice the width.
Mathematically:
length = 5 + 2width
l = 5 + 2w


We know that the perimeter is 2l + 2w.
2l + 2w = 130

2(5 + 2w) + 2w = 130

Distribute
10 + 4w + 2w = 130

Collect Like Terms
10 + 6w = 130

Subtract 10 from both sides
6w = 120

Divide both sides by 6
w = 20

The width is 20.


Since
l = 5 + 2w

Substitute
l = 5 + 2(20)

Multiply
l = 5 + 40

Collect Like Terms
l = 45

The length is 45.

Check
2l + 2w = 130

2(45) + 2(20) = 130

90 + 40 = 130

130 = 130

Width: 20 ft.
Length: 45 ft.