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2 years ago

Change the following mixed number to an improper fraction. Reduce if possible. 7 81/1000

Mathematics

2 answers:

pogonyaev2 years ago

7 0

The answer is 7081/1000

DanielleElmas [232]2 years ago

6 0

Step-by-step explanation:

7 = 7×1 = 7×1000/1000 = 7000/1000

7000/1000 + 81/1000 = 7081/1000

this can't be further simplified, as the only factors of 1000 are

2 and 5 and then multiples of them.

neither of them can be a factor of 7081 (which is clearly neither an even number nor a multiple of 5).

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What goes in the question marks?

IgorC [24]

By using the properties of parallel lines, it can be inferred that -

Corrosponding angle goes in the place of first question mark and substitution property of equality goes in the place of second question mark.

What are parallel lines?

Two lines are said to be parallel if on extending them indefinitely, they will never intersect

Transversal is a line that intersects two or more parallel lines

For the first question mark

$\angle ASR \cong \angle AVU$ [Corrosponding angle]

For the second question mark

$m\angle AVU = 90^{\circ}$ [Substitution property of equality]

To learn more about parallel lines, refer to the link-

brainly.com/question/26961508

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5 0

1 year ago

Find the length of each side of the triangle determined by the three points P1,P2, and P3. State whether the triangle is an isos

Tanya [424]

Answer:

The triangle is both an Isosceles triangle and a right triangle.

Step-by-step explanation:

Given the vertices of a triangle.

$P_{1} = (- 1, 4)$

$P_{2} = (6, 2)$ and

$P_{3} = (4, - 5)$

We find the distance between all the points to determine the length of each side of the triangle.

Distance between any two points, say, $(x_1, y_1)$ and $(x_2, y_2)$ is:

$\sqrt{\bigg ( \textbf{x}_{\textbf{2}} \hspace{1mm} \textbf{- x}_{\textbf{1}} \bigg )^{\textbf{2}} \textbf{+} \bigg( \textbf{y}_{\textbf{2}} \hspace{1mm} \textbf{- y}_{\textbf{1}} \bigg)^ {\textbf{2}}$

Length between $P_1$ and $P_{2}$ , (Side 1) :

$(x_1, y_1) = (- 1, 4)$ and

$(x_2, y_2) = (6, 2)$

Distance = $\sqrt{\bigg(6 - (-1) \bigg)^{2} \hspace{1mm} + \hspace{1mm} \bigg( 2 - 4 \bigg )^2$

$= \sqrt{7^2 + 2^2}$

$= \sqrt{49 + 4}$

$= \sqrt{\textbf{53}}$

Length of Side 1 = $\sqrt{\textbf{53}}$ units.

Distance between $P_1$ and $P_2$ , (Side 2):

$(x_1, y_1) = (-1, 4)$

$(x_2, y_2) = (4, - 5)$

Distance = $\sqrt{ \bigg( 4 + 1 \bigg)^2 \hspace{1mm} + \bigg( - 5 - 4 \bigg ) ^2$

$= \sqrt{ 25 + 81 }$

$= \sqrt{\textbf{106}}$

Length of Side 2 = $\sqrt{\textbf{106}}$ units.

Distance between $P_2$ and $P_3$ , Side 3 :

$(x_1, y_1) = (4, 5)$

$(x_2, y_2) = (6, 2)$

Distance = $\sqrt{ 2^2 \hspace{1mm} + \hspace{1mm} 7^2}$

$= \sqrt{49 + 4}$

$= \sqrt{\textbf{53}$

Length of Side 3 = $\sqrt{\textbf{53}}$ units.

Note that the length of Side 1 = Length of Side 3.

That means the triangle is Isosceles.

Also, For a triangle to be right angle triangle, using Pythagoras theorem we have:

(Side 1)² + (Side 3)² = (Side 2)²

$\bigg( \sqrt{53} \bigg )^2 \hspace{1mm} + \hspace{1mm} \bigg( \sqrt{53} \bigg)^2 \hspace{1mm} = \hspace{1mm} \bigg ( \sqrt{106} \bigg ) ^2$

i.e, 53 + 53 = 106

Hence, the triangle is a right - angled triangle as well.

7 0

3 years ago

Solve the equation to find a positive value of c: 62 + 82 = c2

Artist 52 [7]

$c^{2}$ = 144
c = ± $\sqrt{144}$
c = <span>±12</span>

5 0

3 years ago

Read 2 more answers

8) can u answer this question pls

Vsevolod [243]

Answer: 346.19cm²

Step-by-step explanation:

π= 3.14

Divide 21 (the diameter) by 2 to get the radius( it 's half of the diameter). so the radius is 10.5

Area= πr²

= 3.14x10.5x10.5

= 346.185

So next round up the value you got to the nearest tenth, so when u round up to the nearest tenth you get 346.19

3 0

2 years ago

ASAP ASAP ASAP asap help me

Nataly [62]

Answer:

Step-by-step explanation:

We can use the Pythagorean theorem to find the height

a^2 + b^2 = c^2 with a and b legs and c the hypotenuse

The triangle is a right triangle with legs GH and FG and hypotenuse FH

FG^2 + GH^2 = FH^2

FG ^2 + 12^2 = 20^2

FG^2 +144 = 400

Subtract 144 from each side

FG^2 +144-144 = 400-144

FG^2 =256

Take the square root of each side

sqrt(FG^2) =sqrt(256)

FG = 16

7 0

3 years ago

Read 2 more answers