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creativ13 [48]
3 years ago
9

Write the converse of the following statement and determine its truth value.

Mathematics
1 answer:
Tanya [424]3 years ago
3 0

Answer:

1) The convers of the conditional statement is;

If the ratio of lefties to righties is 1:8,  then a class has 3 left-handed people and 24 right-handed people

2) The convers of the conditional statement is true

Step-by-step explanation:

1) The given statement is presented as follows;

"If a class has 3 left-handed people and 24 right-handed people, then the ratio of lefties to righties is 1:8"

The hypothesis = A class has 3 left-handed people and 24 right-handed people = p

The conclusion = The ratio of lefties to righties is 1:8 = q

We have;

If p, then q which is p → q

The converse statement = If q, then p which is q → p

Then the converse of the conditional statement can be written as follows;

If the ratio of lefties to righties is 1:8,  then a class has 3 left-handed people and 24 right-handed people

2) Given that the ratio of 3:24 = 1:8, we have that both the hypothesis and the conclusion are true, therefore, the converse of the conditional statement is true.

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Answer:

A = <u>40</u> mm^{2}

Step-by-step explanation:

The equation for finding the area of a trapezoid is A= \frac{a + b}{2}h.

In this equation, a=4, b=6, h=8.

A = \frac{4 + 6}{2}8.

4+6=10
10/2=5
5x8=40

Hope this helps!

8 0
2 years ago
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How do you factor these completely
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Answer

5)  (5p+9)(p-2)   6) 3(k+7)(3k+1)    7) (b+7)(2b+3)  8)  (x+2)(2x+1)

Step-by-step explanation:

its kinda hard to explain cause all i have to say is factor out the numbers that are either in the second parenthesis to get the numbers in the first or vice versa. if i want to get into more detail, the fist equation becomes 5p^2+9p-10p-18 and then you factor.

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3 years ago
Is that a perfect square
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Answer:

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Step-by-step explanation:

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What is the solution to 4log4(x+8)=4^2
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Let C be the unit circle in the xy-plane, oriented counterclockwise as seen from above. The divergence of the vector field F~ =
LiRa [457]

Upper half of the unit sphere (call it S_1): parameterize by

\vec s(u,v)=(\cos u\sin v,\sin u\sin v,\cos v)

with 0\le u\le2\pi and 0\le v\le\frac\pi2. Take the normal vector to be

\dfrac{\partial\vec s}{\partial v}\times\dfrac{\partial\vec s}{\partial u}=(\cos u\sin^2v,\sin u\sin^2v,\cos v\sin v)

Then the flux of \vec F over this surface is

\displaystyle\iint_{S_1}\vec F\cdot\mathrm d\vec S=\int_0^{\pi/2}\int_0^{2\pi}(\cos v,\cos u\sin v,\sin u\sin v)\cdot(\cos u\sin^2v,\sin u\sin^2v,\cos v\sin v)\,\mathrm du\,\mathrm dv

=\displaystyle\int_0^{\pi/2}\int_0^{2\pi}\cos u\sin^2v\cos v+\cos u\sin u\sin^3v+\sin u\cos v\sin^2v=\boxed{0}

Lower half of the sphere (call it S_2): all the details remain the same as above, but with \frac\pi2\le v\le\pi. The flux is again \boxed{0}.

Unit disk (call it D): parameterize the disk by

\vec s(u,v)=(u\cos v,u\sin v,0)

with 0\le u\le1 and 0\le v\le2\pi. Take the normal vector to be

\dfrac{\partial\vec s}{\partial u}\times\dfrac{\partial\vec s}{\partial v}=(0,0,u)

Then the flux across D is

\displaystyle\iint_D\vec F\cdot\mathrm d\vec S=\int_0^{2\pi}\int_0^1(0,u\cos v,u\sin v)\cdot(0,0,u)\,\mathrm du\,\mathrm dv

=\displaystyle\int_0^{2\pi}\int_0^1u^2\sin v\,\mathrm du\,\mathrm dv=\boxed{0}

7 0
3 years ago
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