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3 years ago

I really need help here... please

Mathematics

1 answer:

tatuchka [14]3 years ago

3 0

A parallelogram is a quadrilateral with two pair of parallel sides, opposite sides are in equal length, opposite angles are of equal measure. Diagonals of parallelogram bisect each other.

Observe the given figure,

We need to prove that WXYZ is a parallelogram.

XW must be congruent to YZ as in parallelogram opposite are equal(congruent).

Similarly, WZ must be congruent to XY as in parallelogram opposite sides are equal(congruent).

By proving the opposite sides of a quadrilateral as congruent or of equal measure. We can say that the given quadrilateral is a parallelogram.

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Orlando invests S1000 at 6% annual interest compounded daily and Bernadette invests S1000 at 170

Ainat [17]

Answer:

So it will only take a year for Orlando's investments be worth more than

Bernadette's investments

Step-by-step explanation:

Interest of Bernadette in a year

=( 1000*170*1)/100

= 1700

So amount at a year is$ 2700

For Orlando amount the end of the year with compound interest daily.

A = P(1+r/n)^nt

A = 1000(1+(17/365))^(365*1)

A = 1000(1+0.0466)^365

A = 1000(1.0466)^365

A= $1.659*10^10

So it will only take a year for Orlando's investments be worth more than

Bernadette's investments

3 0

3 years ago

Evaluate the line integral, where C is the given curve. C (x + yz) dx + 2x dy + xyz dz, C consists of line segments (1, 0, 1) to

Bess [88]

Parameterize the first line segment $C_1$ by

$\vec r(t)=(1,0,1)(1-t)+(2,4,1)t=(1+t,4t,1)$

and the second line segment $C_2$ by

$\vec s(t)=(2,4,1)(1-t)+(2,6,4)t=(2,4+2t,1+3t)$

both with $0\le t\le1$ . Then

$\displaystyle\int_{C_1}(x+yz)\,\mathrm dx+2x\,\mathrm dy+xyz\,\mathrm dz$

$\displaystyle=\int_0^1\bigg((1+5t)\cdot1+2(1+t)\cdot4+(1-t)4t\cdot0\bigg)\,\mathrm dt$

$=\displaystyle\int_0^1(9+13t)\,\mathrm dt=\frac{31}2$

and

$\displaystyle\int_{C_2}(x+yz)\,\mathrm dx+2x\,\mathrm dy+xyz\,\mathrm dz$

$\displaystyle=\int_0^1\bigg((2+(4+2t)(1+3t))\cdot0+2(2)\cdot2+2(4+2t)(1+3t)\cdot3\bigg)\,\mathrm dt$

$\displaystyle=\int_0^1(32+84t+36t^2)\,\mathrm dt=86$

Then

$\displaystyle\int_C(x+yz)\,\mathrm dx+2x\,\mathrm dy+xyz\,\mathrm dz=\frac{31}2+86=\boxed{\frac{203}2}$

5 0

3 years ago

if the x intercept of a line is positive and the y intercept is negative, does the line slant upwards or downwards from left to

Zigmanuir [339]

From left to right, the line slants upwards like in this image:

5 0

3 years ago

15 inches of snow fell in 12 hours. At this rate, how many inches of snow will fall in 3 days.

kirill [66]

Answer:

90 in

Step-by-step explanation:

15 x 6 = 90 in

This is because

6 x 12 hrs = 3 days

8 0

3 years ago

Read 2 more answers

Dalia saved $3000 last year. She said $600 in the month of January. What percent of the total amount of money she saved last yea

Anni [7]

1. We assume, that the number 3000 is 100% - because it's the output value of the task.
2. We assume, that x is the value we are looking for. 
3. If 100% equals 3000, so we can write it down as 100%=3000. 
4. We know, that x% equals 600 of the output value, so we can write it down as x%=600. 
5. Now we have two simple equations:
1) 100%=3000
2) x%=600
where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:
100%/x%=3000/600
6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for 600 is what percent of 3000

100%/x%=3000/600
(100/x)*x=(3000/600)*x - we multiply both sides of the equation by x
100=5*x - we divide both sides of the equation by (5) to get x
100/5=x 
20=x 
x=20
So 600 is 20% of 3000

7 0

4 years ago