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Dennis_Churaev [7]
3 years ago
7

Ken wants to build a table and put a border around it. The table and border must have an area of 3,276 square feet.?

Mathematics
2 answers:
Alex_Xolod [135]3 years ago
8 0

Answer:

The border is 3 in wide along all edges of the table.

Step-by-step explanation:

You are told the total area is 3276 ft² and the dimensions of the table is 36 x 72 in

Either you really mean that the area is in in², or you have a huge border.

Presuming that the area is really in², adding in the border of "x" in makes the total length and width to be:

l = 72 + 2x

w = 36 + 2x

A = lw

3276= (72 + 2x)(36 + 2x)

3276 = 2592 + 216x + 4x²

subtracting 3276 from both sides:

4x² + 216x - 684 = 0

You would use the second of your four options to determine the length of the border.

Dividing both sides by 4:

x² + 54x - 171 = 0

completing the square:

x² + 54x = 171

x² + 54x + 729 = 171 + 729

(x + 27)² = 900

x + 27 = ± 30

x = -27 ± 30

Throwing out the negative number, our remaining x is:

x = 3

The border is 3 in wide along all edges of the table.

Andru [333]3 years ago
8 0

Answer:

The border is 3 in wide

Step-by-step explanation:

hope that helped

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Crank
Answer: 59 degrees

--------------------------------------------------------------
--------------------------------------------------------------

Work Shown:

We have the three angles:
angle A = (3x+2) degrees
angle B = (2x+7) degrees
angle C = 41 degrees

Rule: for any triangle, the three angles add up to 180 degrees

(angle A) + (angle B) + (angle C) = 180
(3x+2) + (2x+7) + (41) = 180
3x+2 + 2x+7 + 41 = 180
(3x+2x)+(2+7+41) = 180
(5x)+(50) = 180
5x+50 = 180
5x+50-50 = 180-50
5x = 130
5x/5 = 130/5
x = 26

Now use this x value to find the measure of angle B
angle B = (2x+7) degrees
angle B = (2*x+7) degrees
angle B = (2*26+7) degrees
angle B = (52+7) degrees
angle B = 59 degrees

Side Note: Angle A is 80 degrees (3x+2 = 3*26+2 = 78+2 = 80)

Another thing to note: A+B+C = 80+59+41 = 180
5 0
3 years ago
Members of the chess club held a bake sale to raise money. Cupcakes and cookies were sold. Cupcakes were sold for two dollars ea
Gala2k [10]
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A new car has a sticker price of $27,950, while the invoice price paid on it was
maxonik [38]

Answer:

D!!!!

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3 years ago
 student found the slope of a line that passes through the points (1, 14)and (3, 4) to be 5. What mistake did she make?
vladimir2022 [97]
Y2-y1/x2-x1
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5 0
3 years ago
A company establishes a fund of 120 from which it wants to pay an amount,C, to any of its 20 employees who achieve a high-perfor
Leno4ka [110]

Answer:

C=120/2=60

Step by step Explanation'

To solve this problem, we will need to apply trial-and-error calculation with the binomial distribution, even though it appears like Central Limit Theorem but it's not.

For us to know the value of C , we will look for a minimum integer such that having 'n' number of high performance level of employee has the probability below 0.01.

Determine the maximum value of C, then the maximum value that C can have is 120/n

Let us represent X as the number of employees with high performance with a binomial distribution of

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P(X=1)=0.272

P(X=2)=0.02^2*20*0.98^18

P(X=2)=0.053

Summation of P( X= 0)+ P( X= 1)+P( X= 2) will give us the value of 0.993 which is greater than 0.99( 1% that the fund will be inadequate to cover all payments for high performance.)

BUT the summation of P( X= 0)+ P( X= 1) will give the value of 0.94 which doesn't exceed the 0.99 value,

Therefore, the minimum value of integer in such a way that P(X >2) is less than 0.01 have n= 2

then the maximum value that C can have is 120/n

C=120/2=60

7 0
4 years ago
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