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ololo11 [35]
3 years ago
14

Solve: 4 ¹/₄ ÷ 8 (Answer as a whole number)

Mathematics
1 answer:
aleksandrvk [35]3 years ago
5 0

Answer:

0.53

Step-by-step explanation:

Make decimal then divide.

Hope i helped you.

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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:

<u>Slope:</u>

\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:

<u>Slope:</u>

\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
Ndjdjjxjxjdjfjfjdjjdfjfj
Norma-Jean [14]

Answer:

whh3u2ofefnfek

Step-by-step explanation:

7 0
2 years ago
Read 2 more answers
Please help I need this done quickly with the work
myrzilka [38]

Answer:

8x - 7.

Step-by-step explanation:

f(x) = 2x - 5,

g(x) = 4x -1,

substituting g(x) as x in f(x),

f(g(x)) = 2(4x - 1) - 5

= 8x - 7

4 0
3 years ago
Which arc is a minor arc?
egoroff_w [7]

Answer: The answer you selected PS is correct.

Step-by-step explanation: A minor arc is a arc that is less than or equal to 180 degrees. PS looks to be exactly 180 degrees or at least close to it.

3 0
2 years ago
Read 2 more answers
a submarine travels at an elevation of -75 3/4 ft relative to sea level then its elevation changes by - 16 3/8 what is the new e
slamgirl [31]

Answer:

New = -92\frac{1}{8}

Step-by-step explanation:

Given:

x = -75\frac{3}{4} --- Position

\triangle x = -16\frac{3}{8} --- Change

Required

Find the new position

The new position is calculated as:

New = x + \triangle x

New = -75\frac{3}{4} - 16\frac{3}{8}

New = -75.75 - 16.375

New = -92.125

New = -92\frac{125}{1000}

New = -92\frac{1}{8}

3 0
3 years ago
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