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3 years ago

What property is this 2b+0=2b

Mathematics

1 answer:

lisabon 2012 [21]3 years ago

8 0

Identity property of zero states that the sum of 0 and any number is that number.

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2. The perimeter of a rectangular park is 640 yards. The length of the rectangle is 40 yards less than twice the width. What are

oee [108]

Answer: I = 200, w = 120

4 0

3 years ago

in fifteen minutes greg sailboat went 3/6 miles, gina sailboat went 6/6 miles, and stuart sailboat went 4/6 miles. whose sailboa

Zolol [24]

Gina's did because 6 is bigger than 3 and 4.

3 0

3 years ago

Please help!! 10 points.

TiliK225 [7]

Answer:

$\boxed{ \text{1. 59.44 in}^{2} \text{; 2. 352.7 in}^{2} \text{; 3. 471.6 in}^{2}}$

Step-by-step explanation:

1. Area of base

The radius given is that of the circumcircle.

The general formula for the edge length a of a regular polygon is

a = 2Rsin(π/n)

So,

a = 2 × 5 × sin(π/5) = 10sin0.6283 = 10 × 0.5878 = 5.878 in

The general formula for the area of a regular polygon is

A = ¼na²cot(π/n)

So,

A = ¼ × 5 × 5.878²cot(π/5) = ¼ × 5 × 5.878² × 1.376 = 59.44 in²

2. Lateral area

The general formula for the lateral area L of regular prism is

L = nah

So,

L = 5 × 5.878 × 12 = 352.7 in²

3. Total area

Total surface area = lateral area + 2×base area

S = L + 2B = 352.7 + 2 × 59.44 = 471.6 in²

$\boxed{ \text{B = 59.44 in}^{2} \text{; L = 352.7 in}^{2} \text{; S = 471.6 in}^{2}}$

3 0

4 years ago

Shelter A has a capacity of 300 beds and is 80% occupied. Shelter B is 45% occupied. The ratio of the occupancy of shelter A to

sasho [114]

Answer:there are 900 beds in shelter B

Step-by-step explanation:

Shelter A has a capacity of 300 beds and is 80% occupied. This means that the number of beds in Shelter A that would be

80/100 × 300 = 0.8 × 300 = 240 beds.

Let x represent the capacity of Shelter B. Shelter B is 45% occupied. It means that number of beds in Shelter B that would be occupied is

45/100 × x = 0.45 × x = 0.45x beds.

Total occupancy of shelter A and shelter B would be

240 + 0.45x

The ratio of the occupancy of shelter A to shelter B is 16:27

Total ratio of occupancy = 16 + 27 = 43

Therefore

27/43 × (240 + 0.45x) = 0.45x

27(240 + 0.45x) = 0.45x × 43 = 19.35x

6480 + 12.15x = 19.35x

6480 = 19.35x - 12.15x = 7.2x

x = 6480/7.2 = 900

3 0

3 years ago

Could someone please help me on this? This is one question

Aleks [24]

The point-slope formula:

$y-y_1=m(x-x_1)$

We have a slope m = 2 and point (-8, 2)

Substitute:

$y-2=2(x-(-8))\\\\y-2=2(x+8)$

3 0

3 years ago