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Ierofanga [76]
4 years ago
15

You learned from your science teacher that water expands when you freeze it. The next time you freeze your water bottle, you lea

ve room for the water to expand, avoiding the cracking of the bottle.
What kind of reasoning did you use?

Question 6 options:

deductive


geometric reasoning

inductive
Mathematics
1 answer:
Rus_ich [418]4 years ago
6 0
I believe your answer would be deductive. Hope this helps!
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5.2 Two concentric circles have radii 7cm and 4cm respectively. PQ, a chord to the larger circle, is 13cm.
kodGreya [7K]

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. The length of the smaller chord AB is 4 cm.

<h3>What are Similar Figures?</h3>

Two figures are known as similar figures if there the corresponding angles are equal and the corresponding sider is in ratio. It is denoted by the symbol "~".

The diagram for the given condition can be drawn as shown below. Therefore, the measure of the smaller chord AB can be found as shown below.

The two triangles, ΔOPQ and ΔOAB are similar. Therefore, for similar triangles, we can write,

\dfrac{PQ}{AB} = \dfrac{OQ}{OB}=\dfrac{PO}{AO}

Now, we can write further,

\dfrac{13}{AB} = \dfrac{7}{4}\\

AB = 7.43 cm

Hence, the length of the smaller chord AB is 4 cm.

Learn more about Similar Figures:

brainly.com/question/11315705

#SPJ1

4 0
2 years ago
What is the equation of a line that is parallel to x=−5 and that passes through the point (1,4)
anastassius [24]
Answer: x = 1

The given line x = -5 is a vertical line through -5 on the x axis. Every point on this line has an x coordinate of -5. Similarly, the line x = 1 has all of its points with x coordinate of 1. One of those points is (1,4). Any vertical line has an undefined slope. Any two vertical lines are parallel to one another.
8 0
3 years ago
Pleassse answer quick! (Again..)
Tema [17]
Well for problems like this you need to look at what is plotted. And you need to look at the y intercept which is the vertical line and the x intercept which is the horizontal line. I think the answer is B because of what is plotted. I am not 100% sure but I think it is. Let me try to look into it more but what is this for? Hw assignment?
3 0
3 years ago
Read 2 more answers
A vat contains 18 gallons of liquid when a drain pipe opens and the liquid begins to leave the vat at a rate of 4 gallons per ho
SashulF [63]

Answer:

y=-4x+18

Step-by-step explanation:

Let x be the number of hours.

We have been given that a vat contains 18 gallons of liquid when a drain pipe opens and the liquid begins to leave the vat at a rate of 4 gallons per hour.

To graph the amount of liquid first of all we will find the equation of line for our given situation.

Since we know that equation of a line in slope-intercept form is: y=mx+b, where, m = slope and b = y-intercept or initial value.

As liquid is leaving the vat at a rate of 4 gallons per hour, this means that amount of liquid in vat in decreasing 4 gallons per hour. As slope is also known as rate of change, so slope of our given line will be -4. A negative slope means that with each increase in x our y will decrease by 4.

As initially there were 18 gallons of liquid in vat, so our y-intercept will be 18.  

Upon substituting our given values in slope-intercept form of equation we will get,

y=-4x+18

Let us find x-intercept by substituting y=0 in our equation.

0=-4x+18

4x=18

\frac{4x}{4}=\frac{18}{4}  

x=4.5

Now we will draw a line connecting our y-intercept and x-intercept from (0,18) to (4.5,0).  

Please find the attachment for the graph of the given line.


8 0
3 years ago
ALlice, Bob, and Kevin go to an ice cream shop that sells 7 different flavors of ice cream:chocolate, vanilla, mint chip, strawb
Ierofanga [76]

Alice has 36 possibilities of choosing ,Bob 126 and Kevin 84.

Alice, Bob and Kevin

7 different Flavors:

Chocolate

Vanillla

mint chip

strawberry

cookie dough

banana

caramel

The order of the 9 scoops does not matter.

_ _ _ _

a) How many ways can she choose her 9 scoops so she gets at least 1 scoop of each flavor?

Since there are 7 flavors, and she wants at least one of each then we have:

C=\frac{9!}{7!2!}\text{ =3}6

Alice has 36 possibilites of choosing

b) Bob

Since Bob can't eat too much he can't do no more than 4

C\text{ =}\frac{9!}{4!5!}=126

Bob has 126 possibilities of making his choice.

c) Kevin

3 scoups of banana or 3 scoups of strawberries.

Considering He wants 9 scoups.

C=\frac{9!}{6!3!}=84

Kevin has 84 possibilities for banana or strawberries

7 0
1 year ago
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