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Vesna [10]
11 months ago
9

Question 3

Mathematics
1 answer:
Rina8888 [55]11 months ago
3 0

Answer:

88

Step-by-step explanation:

You have to add all the scores together.

So...

88+96+94+92+98+58+90 = 616

Now you have to divide by the amount of numbers there is so seven.

So 616/7 is 88.

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What number must be added to both sides of the equation to complete the square ?
77julia77 [94]
First consider (x+c)^2 where c is just a random constant. if we expand this by foil (which is distributive property twice), we get x^2 + 2cx+ c^2. we want to find c^2 and to do that, we can first find c. we can find c by looking at the 2cx term. this term should match with 12x, so therefore 2c = 12 so c = 6. this also implies that c^2 = 36.
note that for this problem i was working backwards which is a very powerful problem solving tool: start with what you want to attain, and then see how you can go from where you are now to get to your destination.

let me know if you have any questions!!!

7 0
3 years ago
Geometry Select the correct answer from each drop-down menu. Given that , ° and °.
Alexxx [7]

\measuredangle BAC = 29°

Answer:

\measuredangle BOC =58°

Step-by-step explanation:

\measuredangle BDC = 29°...(Given) \\\because \measuredangle BAC = \measuredangle BDC\\(\angle 's \: subtended \: by\: same\: arc) \\\huge \purple {\boxed {\therefore \measuredangle BAC = 29°}} \\\\

Since, angle subtended on the center of the circle is twice the angle subtended on the circumference of the circle.

\therefore \measuredangle BOC =2\times \measuredangle BDC\\\therefore \measuredangle BOC =2\times 29°\\\huge \red {\boxed {\therefore \measuredangle BOC =58°}} \\

8 0
3 years ago
A sequence is formed by adding 1 to each square number.
MrRa [10]

Answer:

32 nd term

Step-by-step explanation:

The formula for the sequence is

n² + 1 ( that is 1 added to each square number )

Equate to 1025 and solve for n

n² + 1 = 1025 ( subtract 1 from each side )

n² = 1024 ( take the square root of both sides )

n = \sqrt{1024} = 32

6 0
3 years ago
You need to buy 12 tickets to a weekend concert festival but have two options for where to purchase them. Concert Specialties se
AURORKA [14]

Answer:

Concert Specialties is the better buy

Step-by-step explanation:

In order to determine which of the two deals is the better buy, we first need to find out how many of each pack we would need to get the needed 12 tickets. Once we have this value we multiply it by the dollar amount of each pack and compare the totals like so...

Concert Specialties => pack of 3 * 4 = 12 tickets => 4 * 75 = $300

We 'R' Entertainment => pack of 4 * 3 = 12 tickets => 3 * 108 = $324

Therefore, we can now see that the Concert Specialties is the better buy since you are getting the 12 tickets for $24 less than We 'R' Entertainment

3 0
2 years ago
In isosceles △ABC the segment BD (with D∈ AC ) is the median to the base AC . Find BD, if the perimeter of △ABC is 50m, and the
Morgarella [4.7K]

Let the equal sides of the isosceles Δ ABC be x.

Given that the perimeter of Δ ABC = 50m.

Therefore, 2x + AC = 50 --- (1)

It is also given that the perimeter of Δ ABD = 40m.

Therefore, x + BD + AD = 40

BD is the median of the Δ ABC. Therefore, D is the midpoint of AC.

So AD = CD.

Or, AD = \frac{1}{2} AC

Therefore, x + BD + \frac{1}{2} AC = 40

Multiply both sides by 2.

2x + 2BD + AC = 80

From (1), 2x + AC = 50.

Therefore, 2BD + 50 = 80

2BD = 80 - 50

2BD = 30

BD = 15m.

6 0
3 years ago
Read 2 more answers
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