Simplify the ratio 40 : 28

Answers

Answer 1
Answer: 10:7
40 and 28 are both divisible by 4. 40/4 is 10, and 28/4 is 7. 10 and 7 have no common factors, so the ratio is as simple as possible.

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A paroxysm of laughter escaped a few. If the ratio of the laughers to the stolid was 2 to 17,and 7600 were in the throng, how many did not laugh

Answers

Well, one part is 3800 so the remaining 17-2=15 parts was 57000 people.

HELPPPP PLSS THIS IS URGENT WILL GIVE BRAINLEASTWhat are the slope and y-intercept of the line?


A-The slope is approximately 3 and the y-intercept is 2.
B-The slope is approximately 1.33 and the y-intercept is 2.
C-The slope is approximately 2 and the y-intercept is 3.
DThe slope is approximately 2 and the y-intercept is 1.33.

Answers

Answer:

C

Step-by-step explanation:

Is the following definition of perpendicular reversible? If yes, write it as a true biconditional.Two lines that intersect at right angles are perpendicular.
The statement is not reversible.
Yes; if two lines intersect at right angles, then they are perpendicular.
Yes; if two lines are perpendicular, then they intersect at right angles.
Yes; two lines intersect at right angles if (and only if) they are perpendicular.

Answers

The correct answer is:

Yes; two lines intersect at right angles if (and only if) they are perpendicular.

Explanation:

If two lines intersect at right angles, they are by definition perpendicular.

If two lines are perpendicular, they, by definition intersect at right angles.

This means that two lines are perpendicular if and only if they intersect at right angles.

Final answer:

The definition of perpendicular lines is indeed reversible and can be expressed as a biconditional statement: 'Two lines intersect at right angles if and only if they are perpendicular'. Each condition functions as both a necessary and sufficient condition for the other.

Explanation:

Yes, the definition of perpendicular lines is reversible. This can indeed be expressed as a true biconditional statement. A biconditional statement is one in which each condition is necessary and sufficient for the other, or in simpler words, both conditions imply each other. In context, this biconditional statement would be: Two lines intersect at right angles if and only if they are perpendicular.

Here's how it works: If two lines are intersecting at right angles, by definition, they are perpendicular. Conversely, if two lines are perpendicular, they would necessarily intersect at right angles. Therefore, each condition is both a necessary and sufficient condition for the other, hence it's a true biconditional statement.

The concept of perpendicularity is crucial in various areas of mathematics, including geometry and trigonometry as it helps in understanding the spatial relationships between different lines and shapes.

Learn more about Perpendicular Lines here:

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I have spent quite long on this but not able to solve it. Pls help ! Thanks!

Answers

Answer:

Adriana= $960

Tania= $1080

Step-by-step explanation:

Please see the attached pictures for the full solution.

• Do note that you could also use 'x' or other variables to represent the amount of money either Adriana or Tania brought for shopping. A unit was used in this case since I used model method to represent the given situation.

How many blocks in a mile

Answers

The are 20 short blocks in a mile


I hope that's help !

Please help! I don't understand this question! 19 pts1.) A projectile launched straight up into the air with an initial velocity of 20 meters per second from a height of 10 meters. How long will it take for the projectile to hit the ground?

a.) Which formula should be used?
h(t) = -4.9t² + vot + ho
h(t) = -16t² + vot + ho

b.) What is the vo?
c.) What is the ho?
d.) Use the Quadratic Formula to solve

Answers

Hello,


gravity on earth :g=9.81 m/s²
h(t)=-(g*t^2)/(2)+v_(0)*t+h_(0)
9.81/2≈4.9
v_(0)\ is\ initial\ speed
h_(0)\ is\ initial\ height

Answer 1


2)
h(t)=-4.9*t²+20*t+10

To hit the ground ht(t)=0
==> -4.9*t²+20*t+10=0
Δ=20²+4*4*10=560=23,6643...²

t=(-20-4√35)/(-4.9*2)=4,4555...(s)

t=(-20+4√35)/(-2*4.9)=-0,37391... to exclude (time must be >0)