Barbara is 142 cm tall. This is 2 cm less than 3 times

You want to install a 2 yd wide walk around a circular swimming pool. The diameter of the pool is 23 yd. What is the area of the

GrogVix [38]

Answer:

157 square yards.

Step-by-step explanation:

Given:

Width of walk around a circular swimming pool = 2 yard

The diameter of the pool = 23 yard

Question asked:

What is the area of the walk ?

Solution:

<em>To find area of walk, we will first calculate area of the pool and then combined area of pool and walk then after we will subtract the area of pool from combined area.</em>

The diameter of the pool = 23 yard

Radius of the pool = $\frac{diameter }{2}=\frac{23}{2} =11.5\ yard$

$Area\ of\ circle=\pi r^{2}$

$=3.14\times(11.5)^{2} \\=3.14\times11.5\times11.5=415.265\ square\ yard$

<u>As width of walk around a circular swimming pool is 2 yard :</u>

New radius will be = 11.5 + 2 = 13.5 yard

$Combined\ area =\pi r^{2} \\$

$=3.14\times13.5\times13.5=572.265\ square\ yard$

Now, area of the walk = Combined area of pool and walk - Area of the pool

= 572.265 - 415.265

= 157 square yards

Therefore, area of the walk is 157 square yards.

4 0

3 years ago

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Find the value of x. Round your answer to the nearest tenth. (One number after the decimal.)

nadya68 [22]

Answer:

x = ~8.9

Step-by-step explanation:

a^2 + b^2 = c^2

c is the long side

a and b are the other two shorter sides

this means

x^2 + 19^2 = 21^2

x^2 + 361 = 441

x^2 = 441- 361

x^2 = 80

square root of 80 = ~8.9

x = ~8.9

5 0

3 years ago

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Please provide the answer and an explanation why that is the answer.

Komok [63]

Slope formula = y=mx+b

2x+4y=12
Minus 2x from both sides

4y= -2x+12

Divide 4 from both sides
Y= -1/2x + 4

Hope this helps!

3 0

3 years ago

Please help, tysm if you do :D

Novosadov [1.4K]

Answer:

3c + 14d

Step-by-step explanation:

Hello There!

We can simplify this expression by combining like terms

Now what are like terms?

They are terms that have the same variable ex. 4a and 2a are like terms as they have the same variable (a)

Now lets look back at the expression and see if there are any like terms

which there are (4c and -c) and (6d and 8d)

so lets combine them

4c - c =3c

6d + 8d = 14d

so the simplified version would be 3c + 14d

4 0

3 years ago

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Priya bought two plants for a science experiment. When she brought them home, the first plant was 5cm tall and the second plant

musickatia [10]

Answer:

a. After 2 weeks the first plant will be taller.

b. After 10 weeks the second plant will be taller.

c. After 4 weeks both the plant will be of the same height.

d. This is the condition for the height of the first plant is greater than that of the second plant.

Step-by-step explanation:

The first plant was 5 cm tall and the second plant was 4 cm.

Again, the first plant has grown 0.5 cm a week and the second plant has grown 0.75 cm a week.

So, the height of the first plant after W weeks will be (5 + 0.5W) cm. and the height of the second plant after W weeks will be (4 + 0.75W) cm.

a. After 2 weeks the first plant will be (5 + 2× 0.5) = 6 cm.

And after 2 weeks the second plant will be (4 + 2 × 0.75) = 5.5 cm

So, after 2 weeks the first plant will be taller.

b. After 10 weeks the first plant will be (5 + 10× 0.5) = 10 cm.

And after 10 weeks the second plant will be (4 + 10 × 0.75) = 11.5 cm

So, after 10 weeks the second plant will be taller.

c. If 5 + 0.5w = 4 + 0.75w, give w = 4 weeks, then this means that after 4 weeks both the plant will be of the same height.

d. If, 5 + 0.5w > 4 + 0.75w, then it means that this condition is for the height of the first plant will be more than the second plant. (Answer)

4 0

3 years ago