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2 years ago

What is the contrapositive of the following conditional?

Mathematics

1 answer:

Nimfa-mama [501]2 years ago

3 0

Answer:

To form the contrapositive of the conditional statement, interchange the hypothesis and the conclusion of the inverse statement. The contrapositive of "If it rains, then they cancel school" is "If they do not cancel school, then it does not rain."

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Step-by-step explanation:

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The height of a ball thrown vertically upward from a rooftop is modelled by h(t)= -4.8t^2 + 19.9t +55.3 where h (t) is the balls

nikitadnepr [17]

By applying the quadratic formula and discriminant of the quadratic formula, we find that the maximum height of the ball is equal to 75.926 meters.

<h3>How to determine the maximum height of the ball</h3>

Herein we have a quadratic equation that models the height of a ball in time and the maximum height represents the vertex of the parabola, hence we must use the quadratic formula for the following expression:

- 4.8 · t² + 19.9 · t + (55.3 - h) = 0

The height of the ball is a maximum when the discriminant is equal to zero:

19.9² - 4 · (- 4.8) · (55.3 - h) = 0

396.01 + 19.2 · (55.3 - h) = 0

19.2 · (55.3 - h) = -396.01

55.3 - h = -20.626

h = 55.3 + 20.626

h = 75.926 m

By applying the quadratic formula and discriminant of the quadratic formula, we find that the maximum height of the ball is equal to 75.926 meters.

To learn more on quadratic equations: brainly.com/question/17177510

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6 0

1 year ago

there were n signers of the declaration of independence. the oldest was benjamin franklin, who was y years old. 7 is 10% of y. w

Zigmanuir [339]

Answer:

Step-by-step explanation:

In this problem 7 is 10% of Ben Franklin's age. To solve you must find what 100% percent of his age is. To do this multiply 7 by 10. You do this because 10% times 10 is equal to 100%. Therefore, his age is 70.

7 0

3 years ago

Quadrilateral ABCD has the following vertices.

Marizza181 [45]

A(-5,5)
B(4,5)
C(2,0)
D(-5,-2)

AB,BC,CD,DA

AB = [4-(-5)),5-5]=[9,0]
Lenght $AB= \sqrt{9^2+0^2}= \sqrt{81} =9$

BC = [2-4,0-5]=[-2,-5]
Lenght $BC=\sqrt{(-2)^2+(-5)^2}=\sqrt{4+25}=\sqrt{29}$

CD = [-5-2,-2-0]=[-7,-2]
Lenght $CD=\sqrt{(-7)^2+(-2)^2}=\sqrt{49+4}=\sqrt{53}$

DA =[-5-(-5),-2-5]=[0,-7]
Lenght $DA=\sqrt{0^2+(-7)^2}=\sqrt{49}=7$

sorted from longest to shortest:
AB, CD,DA,BC
$\sqrt{81}, \sqrt{53}, \sqrt{49}, \sqrt{29}$

3 0

2 years ago

Find missing number from letter n ! Please

Ira Lisetskai [31]

Answer:

1. n= 20 /13

2. n=10

3. n=35

4. n=9

That's all I could do, I got tired of typing lol

Step-by-step explanation:

1. 4/n=13/5 we cross multiply, (4)*(5)=13*n, 20=13n Flip the equation. 13n=20, divide 13 on both sides, 13n/13=20/13, n= 20 /13

2. 9/6= 15/n, we cross multiply 9*n=(15)*(6), 9n=90, Divide both sides by 9. 9n/9=90/9 n=10

3. 28/4=n/5 Cross-multiply, (28)*(5)=n*(4), 140=4n Flip the equation.4n=140 Divide both sides by 4. 4n/4=140/4 n=35

4. n/6=6/4 we cross multiply,n*(4)=(6)*(6), 4n=36, Divide both sides by 4 4n/4=36/4. n=9

5 0

2 years ago

Which two values are greater than 3/5

yKpoI14uk [10]

Answer:

1 and 4/5

Step-by-step explanation:

4/5 is greater then 3/5 and 5/5=1 whole which is greater than 3/5, 4/5 and 1 is greater than 3/5 and 1 1/5, 1 2/5 so on and so on it could go forever but 4/5, and 1 is the only ones that our after 3/5 so those are the two greatest ones in this quistion. Hope this helps

5 0

2 years ago