Which type of triangle is formed by the points P(0, 6), Q(-3, 0 ), and R(3, 0)?

Which is the side length of a cube with a volume of 3375 in3?

zvonat [6]

$The\ volume\ of\ the\ cube:V=a^3\ \ \ \ \ (a-the\ length\ edge\ of\ the\ cube)\\\\-------------------------------\\\\V=3375\ in^3\\\\therefore\\\\a^3=3375\ in^3\to a=\sqrt[3]{3375\ in^3}=\boxed{15\ in}\leftarrow answer\\\\because\ 15^3=3375$

4 0

3 years ago

Vivenne, John and nassim ran for 6th grade class president. Vivenne got four votes for every 3 votes that John got. Nassim got t

liq [111]

Answer:

John received 10% of the overall votes.

Step-by-step explanation:

Let us assume that the number of votes John got = m

So, the number of votes Vivienne received = 3 times (John's share )

= 3 times m = 3 m

Also, The number of Votes Nassim received = 2 times ( Vivienne's share)

2 x (3 m) = 6 m

Total Votes in the grade 6

= Votes received by { John + Vivienne + Nassim}

= m + (3 m) + (6 m) = 10 m

Hence, the total number of students who voted in grade 6 = 10 m

$\textrm{The percentage of John's Votes } = \frac{\textrm{Number of votes John received}}{\textrm{Total number of votes }} \times 100$

= $\frac{m}{10m} \times 100 = 10$

or, The percentage of John's Votes = 10%

Hence, John received 10% of the overall votes.

3 0

3 years ago

Which expressions are equivalent to 5(-2k-3)+2k

bulgar [2K]

Answer:

-8k - 15

Step-by-step explanation:

5(-2k-3)+2k

At first, we will break the parenthesis. To break that, we will multiply the value inside the parenthesis by the adjacent number, that is 5. Again, we have to consider the Algebraic operation (Golden rule) -

[(-) x (-) = (+); (+) x (-) = (-)]

Therefore, since there is a minus sign in each of the value inside the parenthesis, the result will be minus as 5 is a positive integer.

or, -5*(2k) - (5*3) + 2k

or, -10k - 15 + 2k

or, -8k - 15 (after the deduction)

The answer is = -8k - 15

6 0

3 years ago

A line segment is sometimes/always/never similar to another line segment, because we can sometimes/never/always map one into the

Fantom [35]

Answer:

A line segment is always similar to another line segment, because we can always map one into the other using only dilation a and rigid transformations

Step-by-step explanation:

we know that

A dilation is a Non-Rigid Transformations that change the structure of our original object. For example, it can make our object bigger or smaller using scaling.

The dilation produce similar figures

In this case, it would be lengthening or shortening a line. We can dilate any line to get it to any desired length we want.

A rigid transformation, is a transformation that preserves distance and angles, it does not change the size or shape of the figure. Reflections, translations, rotations, and combinations of these three transformations are rigid transformations.

so

If we have two line segments XY and WZ, then it is possible to use dilation and rigid transformations to map line segment XY to line segment WZ.

The first segment XY would map to the second segment WZ

therefore

A line segment is always similar to another line segment, because we can always map one into the other using only dilation a and rigid transformations

6 0

3 years ago

Evaluate the expression 7^2/ x^2 - 2 for x = 3

vovikov84 [41]

Answer:

7

Step-by-step explanation:

7²/x²-2 when x=3

49/3²-2

49/9-2

49/7

answer=7

4 0

2 years ago