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VLD [36.1K]
2 years ago
12

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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please help me, Prove a quadrilateral with vertices G(1,-1), H(5,1), I(4,3) and J(0,1) is a rectangle using the parallelogram me
mestny [16]

Answer:

Step-by-step explanation:

We are given the coordinates of a quadrilateral that is G(1,-1), H(5,1), I(4,3) and J(0,1).

Now, before proving that this quadrilateral is a rectangle, we will prove that it is a parallelogram. For this, we will prove that the mid points of the diagonals of the quadrilateral are  equal, thus

Join JH and GI such that they form the diagonals of the quadrilateral.Now,

JH=\sqrt{(5-0)^{2}+(1-1)^{2}}=5 and

GI=\sqrt{(4-1)^{2}+(3+1)^{2}}=5

Now, mid point of JH=(\frac{x_{1}+x_{2}}{2},\frac{y_{1}+y_{2}}{2})

=(\frac{5+0}{2},\frac{1+1}{2})=(\frac{5}{2},1)

Mid point of GI=(\frac{5}{2},1)

Since, mid point point of JH and GI are equal, thus GHIJ is a parallelogram.

Now, to prove that it is a rectangle, it is sufficient to prove that it has a right angle by using the Pythagoras theorem.

Thus, From ΔGIJ, we have

(GI)^{2}=(IJ)^{2}+(JG)^{2}                             (1)

Now, JI=\sqrt{(4-0)^{2}+(3-1)^{2}}=\sqrt{20} and GJ=\sqrt{(0-1)^{2}+(1+1)^{2}}=\sqrt{5}

Substituting these values in (1), we get

5^{2}=(\sqrt{20})^{2}+(\sqrt{5})^{2} }

25=20+5

25=25

Thus, GIJ is a right angles triangle.

Hence, GHIJ is a rectangle.

Also, The diagonals GI=\sqrt{(4-1)^{2}+(3+1)^{2}}=5  and HJ=\sqrt{(0-5)^2+(1-1)^2}=5 are equal, thus, GHIJ is a rectangle.

6 0
3 years ago
Write as 0.00147 an ordinary number
cestrela7 [59]

Answer: it can be written as 1.47x10-^3

Step-by-step explanation:

3 0
2 years ago
PLEASE PLEASE HELP ME!
Sladkaya [172]

Answer:

y=3/4m

Step-by-step explanation:

All proportional relationships have the form y=mx where m is the rate of change from the families donations x to the business donations y. We can find the rate of change m by substituting values we already know. We know when x=$12 then y=$9.

9=m*12

We solve for m by dividing by 12 on both sides.

m=9/12

This simplifies to 3/4 so

m=9/12=3/4.

The equation is y=3/4m

3 0
3 years ago
Find the value of x.
Andrew [12]

Answer:

C

Step-by-step explanation:

We're given the adjecent and we're looking for the hypotenuse so we'll have to use cosine ratio.

11 / cos 38 = 13.959.....

x = 14.0

We can also use the tangent ratio to look for the opposite and then use pythagorean to find the hypotenuse.

11(tan 38) = 8.594......

8.594.....² + 11² = 194.859......

Square root of 194.859..... = 13.959.......

8 0
3 years ago
Please help.<br> Algebra.
navik [9.2K]
The answer is C

Explanation: each ride costs $1.25 but they don’t give a number of rides therefore the number of rides is unknown and represents X. 64 was the total value of his money before the rides. With each ride you add -1.25 to 64, which gives diminishing returns for each ride.

Hope this helps !
4 0
3 years ago
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