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3 years ago

What is 0.25 divided by 1.5

Mathematics

2 answers:

Dima020 [189]3 years ago

5 0

Answer:

0.166666666667

Step-by-step explanation:

Scrat [10]3 years ago

5 0

Answer:

Step-by-step explanation:

0.25 ÷1.5= 6

simplify 1/4

15/1÷10/4

simplify 3/2

equation: 3/2

3/2÷1/4= 3/2×4/1= 6

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2. Given a quadrilateral with vertices (−1, 3), (1, 5), (5, 1), and (3,−1):

zlopas [31]

<h2>Explanation:</h2>

In every rectangle, the two diagonals have the same length. If a quadrilateral's diagonals have the same length, that doesn't mean it has to be a rectangle, but if a parallelogram's diagonals have the same length, then it's definitely a rectangle.

So first of all, let's prove this is a parallelogram. The basic definition of a parallelogram is that it is a quadrilateral where both pairs of opposite sides are parallel.

So let's name the vertices as:

$A(-1,3) \\ \\ B(1,5) \\ \\ C(5,1) \\ \\ D(3,-1)$

First pair of opposite sides:

Slope:

$\text{For AB}: \\ \\ m=\frac{5-3}{1-(-1)}=1 \\ \\ \\ \text{For CD}: \\ \\ m=\frac{1-(-1)}{5-3}=1 \\ \\ \\ \text{So AB and CD are parallel}$

Second pair of opposite sides:

Slope:

$\text{For BC}: \\ \\ m=\frac{1-5}{5-1}=-1 \\ \\ \\ \text{For AD}: \\ \\ m=\frac{-1-3}{3-(-1)}=-1 \\ \\ \\ \text{So BC and AD are parallel}$

So in fact this is a parallelogram. The other thing we need to prove is that the diagonals measure the same. Using distance formula:

$d=\sqrt{(y_{2}-y_{1})^2+(x_{2}-x_{1})^2} \\ \\ \\ Diagonal \ BD: \\ \\ d=\sqrt{(5-(-1))^2+(1-3)^2}=2\sqrt{10} \\ \\ \\ Diagonal \ AC: \\ \\ d=\sqrt{(3-1)^2+(-5-1)^2}=2\sqrt{10} \\ \\ \\$

So the diagonals measure the same, therefore this is a rectangle.

5 0

3 years ago

What’s the answer to this? Explanation would be helpful.

marta [7]

Answer:

search mo foogle noe kasi mali

3 0

2 years ago

Geometry

Kobotan [32]

Answer: UV = 52

Concept:

Additive property of length, or the segment addition postulate, states that given 2 points A and C, a third point B lies on the line segment AC if and only if the distances between the points satisfy the equation AB + BC = AC.

Solve:

Given information

TU = 4x

UV = 2x + 14

TV = 7x - 5

Given expression deducted from the additive property of length

TV = TU + UV

Substitute values into the expression

7x - 5 = 4x + 2x + 14

Combine like terms

7x - 5 = 6x + 14

Subtract 6x on both sides

7x - 5 - 6x = 6x + 14 - 6x

x - 5 = 14

Add 5 on both sides

x - 5 + 5 = 14 + 5

x = 19

Find UV by substituting the value of x

UV = 2x + 14 = 2 (19) + 14 = $\boxed{52}$

Hope this helps!! :)

Please let me know if you have any questions

5 0

3 years ago

What is the Area and Perimeter for tbe rectangle?

Amanda [17]

<h2>Given :-</h2>

length of rectangle = ( 4n-5 )

breadth of rectangle = ( 3n-2)

Area and perimeter of rectangle.

<h2>solution :-</h2>

by the question ,

We know the area of rectangle = length × breadth

Area = (4n -5) (3n-2)

$= {12n}^{2} - 8n - 15n + 10$

$= {12n}^{2} - 23n + 10$

now ,

perimeter = 2 ( length + breadth (

= 2 ( 4n-5 + 3n-2)

= 2 ( 7n-7)

= 14n -14

I hopes this helps.

3 0

3 years ago

Juana baked 150 cookies for the bake sale and ate 10% of them. How many cookies did Juana eat?

Sophie [7]

Answer:

Step-by-step explanation:

$\frac{150x10}{100}$ = $\frac{1500}{100}$ =15

5 0

2 years ago