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SashulF [63]
2 years ago
12

Given a line segment containing the points A,B, & C, in order, if AB is 11 and BC is 12, then the length of AC would

Mathematics
1 answer:
Shalnov [3]2 years ago
4 0

Answer: 23

Step-by-step explanation:

AB + BC = AC

AC = 11 + 12 = <u>23</u>

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Does the point (-4, 2) lie inside or outside or on the circle x^2 + y^2 = 25?​<br>​
Lostsunrise [7]

Given equation of the Circle is ,

\sf\implies x^2 + y^2 = 25

And we need to tell that whether the point (-4,2) lies inside or outside the circle. On converting the equation into Standard form and determinimg the centre of the circle as ,

\sf\implies (x-0)^2 +( y-0)^2 = 5 ^2

Here we can say that ,

• Radius = 5 units

• Centre = (0,0)

Finding distance between the two points :-

\sf\implies Distance = \sqrt{ (0+4)^2+(2-0)^2} \\\\\sf\implies Distance = \sqrt{ 16 + 4 } \\\\\sf\implies Distance =\sqrt{20}\\\\\sf\implies\red{ Distance = 4.47 }

Here we can see that the distance of point from centre is less than the radius.

Hence the point lies within the circle .

3 0
3 years ago
Read 2 more answers
Who can help me out with this question???
GaryK [48]

Answer:

x = 13

Step-by-step explanation:

a^{2} +b^2 = c^2\\12^2 + 5^2 = c^2\\144 + 25 = c^2\\169 = c^2\\

Take the square root of both sides

\sqrt{169} = \sqrt{c^2} \\13 = c

8 0
3 years ago
7. A man makes a simple discount note for $6,200, at an ordinary bank discount rate of 8.84%, for 40 days. What is the effective
Elina [12.6K]

Answer:

The effective interest rate, rounded to the nearest tenth, is 0.1%.

Step-by-step explanation:

The banker's rule is the simple interest formula.

The simple interest formula is given by:

E = P*I*t

In which E are the earnings, P is the principal(the initial amount of money), I is the interest rate(yearly) and t is the time, in years.

The effective interest rate is given by the following formula:

E_{IR} = \frac{E}{P}.

In this problem, we have that:

A man makes a simple discount note for $6,200, at an ordinary bank discount rate of 8.84%, for 40 days. We consider that the year has 360 days. This means that P = 6200, I = 0.0884, t = \frac{40}{360} = \frac{1}{9}.

So

E = 6200*0.0884*\frac{1}{9} = 60.9

The effective interest rate is

E_{IR} = \frac{E}{P} = \frac{60.9}{6200} = 0.0098 = 0.001

The effective interest rate, rounded to the nearest tenth, is 0.1%.

8 0
3 years ago
1. algebraic expression
mixer [17]

Answer:

1. algebraic expression: a mathematical expression containing one or more variables

2. coefficient: the constant preceding the variables in a product

3. constant: a numerical value

4. expression: a mathematical phrase that cannot be determined true or false

5. variable: a letter or symbol used to represent an unknown

Step-by-step explanation:

3 0
3 years ago
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Helen [10]
B : rotation.

Translation is if you are moving the shape from one place to the other. Reflection is if you are flipping the shape over a line ( which it is not ) and dilation is when the shape is becoming bigger or smaller.
6 0
3 years ago
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