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gladu [14]
3 years ago
6

Please help me asap!

Mathematics
1 answer:
poizon [28]3 years ago
8 0

Answer:

24 units

Step-by-step explanation:

Given is a circle with two chord BE and CD

BE and CD intersect at A

By circle chords intersection theorem we have

DA*AC = EA*AB

i.e. 8(15) = 5(AB)

Divide by 5 both the sides

AB =8(15)/5 = 8(3) = 24 units

Verify:

Let us check now whether chord intersection theorem is satisfied.

DA*AC = 8(15) = 120

EA*AB = 5(24) = 120

Since these two equal, we verify that answer is right.


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valentinak56 [21]

Answer:

The mean is the average of the numbers. It is easy to calculate: add up all the numbers, then divide by how many numbers there are. In other words it is the sum divided by the count.

5 0
3 years ago
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Mark says that the number square root two is irrational number because he can write it as a fraction square root two over one is
Elan Coil [88]

Answer:

Step-by-step explanation:

A rational number are numbers that can be expressed as as fraction. They can be expressed as a ratio of two integers. An irrational is quite the opposite.  An irrational number cannot be expressed as a ratio of two integers.

Taking square root of two as an example;

√2 cannot be expressed as a ratio of two integers because the result will always be a decimal. If expressed as √2/1, it is still not a rational number because of the square root of 2 at the numerator. Square root of 2 is not an integer even though 1 is an integer.

Mark is wrong because √2 is irrational and it is irrational because it cannot be expressed as a ratio of two integers <em>not due to the fact that he can write it as a fraction.</em>

6 0
3 years ago
Determine whether f(x) = –5x^2 – 10x + 6 has a maximum or a minimum value.
Blizzard [7]

First,

We are dealing with parabola since the equation has a form of,

y=ax^2+bx+c

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x_v=-\dfrac{b}{2a}

The parameters we have are,

a=-5,b=-10, c=6

Plug them in vertex formula,

x_v=-\dfrac{-10}{2(-5)}=-1

Plug in the x_v into the equation,

y_v=-5(-1)^2-10(-1)+6=11

We now got a point parabola vertex with coordinates,

(x_v, y_v)\Longrightarrow(-1,11)

From here we emerge two rules:

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So our vertex is minimum value since,

a=-5\Longleftrightarrow a

Hope this helps.

r3t40

7 0
3 years ago
Can someone plz help? Only have a hour...I'll make crown the best and triple the points!!!
kykrilka [37]

Answer:

x= 3.57

Step-by-step explanation:

32 ( x + 2.5) = 114.24

32* x + 32* 2.5= 114.24

32x + 80= 114.24

        -80      -80

32x= 114.24

/ 32    /32

x= 3.57

for the part that says convince me, we can use the eqution

/= divide

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If the sales tax is 3% what is the cost of a pair of shoes with a price of $55?
34kurt
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55(.03)= 1.65
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