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liraira [26]
3 years ago
11

The solution set for -p^2-11=0 is { }

Mathematics
1 answer:
dsp733 years ago
3 0
The answer is p=√11,-√11
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Twenty toothpicks, each 6 cm long, form a figure consisting of six equilateral triangles and a rectangle as shown. What is the t
Roman55 [17]

The total area of the figure is 139.20 square centimeters

Areas

The area of a shape is the amount of space it occupies

<h3>Composite figure</h3>

The figure (see attachment) is a composite figure, and the total area is the sum of the areas of each shape that makes up the complete figure

The shape has 6 equilateral triangles, each of which has an area of:

A_1 = \sqrt{\frac{3s^2}{4}}

Where:

s = 6 --- the length of each toothpick

The area of the rectangle is then represented as:

A_2 =3s \times s

A_2 =3s^2

So, the total area of the figure is:

Total = 6A_1 + A_2

This gives

Total =6 \times \sqrt{\frac{3s^2}{4}} + 3s^2

Substitute 6 for s

Total =6 \times \sqrt{\frac{3(6)^2}{4}} + 3(6)^2

Total =6 \times \sqrt{27} + 108

Total =6 \times 5.20+ 108

Total =139.20

Hence, the total area of the figure is 139.20 square centimeters

Read more about areas at:

brainly.com/question/21135654

7 0
2 years ago
12.) (5pts) Sarah wants to fence her garden, as shown below. Determine how much fencing to the nearst foot hd
Maksim231197 [3]

Answer:

If those are the sides of the garden then it should be 86ft to fence around her garden.

Step-by-step explanation:

Add them together and then multi ply it by two.

4 0
3 years ago
You are in charge of the city carnvial committee. You have $8,096.35 to spend. You have already purchased: Decorations $894.60.
telo118 [61]

Step-by-step explanation:

Total amount to spend = 8096.35

Amount already spent = 894. 60 + 1009.99 + 658.50 = 2563.09

Amount left to spend = 5533.26

5 0
3 years ago
There are five consecutive even integers. The sum of the first two is thirty-six less than the sum of the last three numbers. Wh
Norma-Jean [14]
5 consecutive even integers: 2n, 2n+2, 2n+4, 2n+6, 2n+8 for any integer n The sum of the two smallest of five consecutive even integers is 50 less than the sum of the other three integers: 2n + 2n+2 = 2n+4 + 2n+6 + 2n+8 - 504n + 2 = 6n -3234 = 2nn = 17 <span>The smallest integer in our sequence is 2n = 2*17 = 34</span> Check:2n + 2n+2 = 2n+4 + 2n+6 + 2n+8 - 5034 + 36 = 38 + 40 + 42 - 5070 = 120 - 5070 = 70
6 0
3 years ago
What is the solution to-5x=-75​
Furkat [3]

Answer:

-15

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
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