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sattari [20]
3 years ago
8

The ceiling of Katie’s living room is a square that is 15 ft long on each side. To decorate for a party, she plans to hang crepe

paper around the perimeter of the ceiling and then from each corner to the opposite corner. Katie can buy rolls that each contain 20 ft of crepe paper. What is the minimum number of rolls she should buy? Show your work.
Mathematics
1 answer:
goldfiish [28.3K]3 years ago
8 0

I think that 3 rolls is wrong and that 6 rolls is right. If you create a 15 by 15 square and draw two lines through the center that connect to the opposite corner, you'll be able to use the Pythagorean Theorem.


Perimeter: 15+15+15+15=60ft.


Length of Line from Corner to Corner:

(15)(15)+(15)(15)=C^2

225+225=C^2

450=C^2

21.2=C

21.2(2)= 42.4ft.

42.4ft.+60ft.= 102.4ft.

102.4ft. divided by 20ft. = 5.12 = <u>6 rolls</u>



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John is at a local bait shop; he wants to buy bait for his fishing trip. At the store, they are selling live bait for $12 a poun
galina1969 [7]

Answer:

x\geq3

12x+7y\leq63

y\geq0

Step-by-step explanation:

If we let x be the amount of live bait and y be the amount of natural bait, Then we can come up with the following inequalities;

We are told that John would like to get at least 3 pounds of live bait. At least 3 means 3 or more. Since x represents the amount of live bait, we have;

x\geq3

Moreover,we are informed that;

The store sells live bait for $12 a pound and natural bait for $7 a pound. x pounds of live bait would cost 12x while y pounds of natural bait would cost 7y. The total cost would thus be;

12x + 7y

but John only has a budget of $63. This implies that he can spend $63 at most, thus;

12x+7y\leq63

Finally we can have our last inequality as;

y\geq0

8 0
3 years ago
Help me please i need help
Mila [183]

Answer:

  A.  y = 2x -9

  B.  y = -1/2x +1

Step-by-step explanation:

The given line is in slope-intercept form

  y = mx + b

where m is the slope. For your given line, the slope is 2.

A. A parallel line will have the same slope. It is convenient to start with a point-slope form of the equation for the line:

  y = m(x -h) +k . . . . . for slope m through point (h, k)

You want the equation of the line through (4, -1) with slope 2, so its equation is ...

  y = 2(x -4) -1

Simplifying to slope-intercept form, this becomes ...

  y = 2x -8 -1

  y = 2x -9

___

B. A perpendicular line will have a slope that is the opposite of the reciprocal of the slope of the given line. That slope is ...

  m = -1/2

As above, the point-slope form of the perpendicular line is ...

  y = -1/2(x -4) -1

  y = -1/2x +1 . . . . . after simplification

4 0
3 years ago
Blake is paid $8.75 an hour. He worked 6 hours and spent of his
yarga [219]

Answer :

$52.50 - x

Step-by-step explanation:

8.75*6 = 52.5

Price of the book = x

$52.50 - x

5 0
3 years ago
Find the length of each arc. Round your answers to the nearest tenth. r = 40 =24use 3.14 for π
liraira [26]

Answer:

1.7 units

Explanation:

The length of an arc is calculated using the formula below:

l=\frac{\theta}{360\degree}\times2\pi r

Substitute the given values of θ and r:

\begin{gathered} l=\frac{24\degree}{360\degree}\times2\times3.14\times4 \\ =1.674 \\ \approx1.7\text{ units (to the nearest tenth)} \end{gathered}

The length of the arc is 1.7 units.

6 0
1 year ago
Julio is at a car race. Starting from 0.5 mi away, the car drives toward him and then passes him. The car travels at a constant
siniylev [52]
The answer is 26.18 

comment if im wrong plz
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