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8090 [49]
3 years ago
8

Use inductive and deductive reasoning to solve the problem. Draw a diagram and solve the problem Freddie the frog is a at the bo

ttom of a 30- foot wall. Each day he jumps up 3 feet. Each night he slides back down 2 feet. How many days will it take Freddie to get on top of the wall ?
Mathematics
1 answer:
Wewaii [24]3 years ago
4 0

Answer:

⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀⠀

Step-by-step explanation:

You might be interested in
ABCD photo provided
Vanyuwa [196]
The answer is D because the two angles are congruent and they must be subtracted from 180 to equal 116 degrees.

I hope this helps, God bless, and have a great day.
Brainliest is always appreciated :)
6 0
2 years ago
The vertices of a parallelogram are A(x1, y1), B(x2, y2), C(x3, y3), and D(x4, y4). Which of the following must be true if paral
Iteru [2.4K]

The answer is really none of the above, because all of these have divisions by difference in x, and there are perfectly fine rectangles where those will mean dividing by zero.

To do the problem the way they want us to, we note segments with the same slope are parallel (or collinear); segments with slopes which multiply to -1 are perpendicular.

Let's figure out what each choice is trying to tell us by translating it into parallel and perpendicular. Remember A is point 1, ...

A. ((y_4-y_3)/(x_4-x_3)= (y_3-y_2)/(x_3-x_2)) and ((y_4-y_3)/(x_4-x_3)×(y_3-y_2)/(x_3-x_2))=-1

translated, that's CD║BC and CD⊥BC - contradictory; second half right

B. (y_4-y_3)/(x_4-x_3)= (y_2-y_1)/(x_2-x_1) and ((y_4-y_3)/(x_4-x_3)×(y_2-y_1)/(x_2-x_1))=-1

CD ║ AB and CD ⊥ AB - only the parallelogram half is right

C. (y_4-y_3)/(x_4-x_3)= (y_2-y_1)/(x_2-x_1) and (y_4-y_3)/(x_4-x_3)×(y_3-y_2)/(x_3-x_2)=-1

CD║AB and CD⊥BC - that's TRUE

D. (y_4-y_3)/(x_4-x_3)= (y_3-y_1)/(x_3-x_1) and (y_4-y_3)/(x_4-x_3)×(y_2-y_1)/(x_2-x_1)=-1

CD║AC and CD⊥AB - nope

Answer: C

The way I'd get the proper expression is with the dot product.

A parallelogram is a rectangle when adjacent sides are perpendicular. It only takes one right angle to make them all right.

Two sides are perpendicular when the dot product of their direction vectors is zero. All the answers have y_4 - y_3 so one side is CD. The other side must be BC or AD; AD would give y_4 - y_1 terms which don't appear among the answer, so let's go with BC.

The direction vectors are

D-C = (x_4 - x_3, y_4 - y_3)

C-B = (x_3 - x_2, y_3 - y_2)

For perpendicularity we need a zero dot product:

0 = (D-C)\cdot(C-B) = (x_4 - x_3)(x_3 - x_2) + (y_4 - y_3)(y_3 - y_2)

- (x_4 - x_3)(x_3 - x_2) = (y_4 - y_3)(y_3 - y_2)

That's the correct expression, given it's a parallelogram, to demonstrate it's a rectangle. The divisions make it iffy.

8 0
2 years ago
Computers from a particular company are found to last on average for 24 months without any hardware malfunction with a standard
vodomira [7]

Answer:

At least 68% of observations lie between 22 and 26 months.

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 24

Standard deviation = 2

22 = 24 - 2

22 is one standard deviation below the mean

26 = 24 + 2

26 is one standard deviation above the mean.

So, by the empirical rule, at least 68% of observations lie between 22 and 26 months.

8 0
3 years ago
I need the answer please
Yuri [45]

Answer:

D - All rational numbers are integers.

Step-by-step explanation:

This is because integers is a subcategory of rational numbers, so there are other rational numbers that aren't integers.

3 0
3 years ago
Marcy has 567 earmuffs in stock if she can put 18 earmuffs on each shelf, about how many shelves does she need for all of the ea
Nitella [24]

It would be: 567/18 = 31.5

So, she needs atleast 32 shelves....

8 0
3 years ago
Read 2 more answers
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