Find the sum of the series 121+128+135+...+233 (17 terms)

Find the area of the circle. Leave your answer in terms of π.

seraphim [82]

Answer:

4π

Step-by-step explanation:

We are asked to calculate the area of a circle whose diameter is equal to 4, we know that the area of the circle is given by the following equation:

A = π * (r ^ 2)

where r is the radius of the circle, we know that the radius of the circle is half the diameter, therefore:

r = d / 2 = 4/2

r = 2

replacing, we are left with:

A = π * (2 ^ 2)

A = 4π

Which means that the area of the circle is 4π

5 0

3 years ago

Solve the inequality. -x ≤ 5

yanalaym [24]

The answer is x ≥ −5

6 0

3 years ago

Read 2 more answers

To prepare for a bicycling event, you warm up each day at a moderate pace then you ride hard for a number of miles. one day you

vovangra [49]

Answer:

The total distance covered is 15.6 miles.

Step-by-step explanation:

One day you warm up for 15 minutes at a pace of 0.1 miles per 25 seconds.

The rule of three or is a way of solving problems of proportionality between three known values and an unknown value, establishing a relationship of proportionality between all of them. If the relationship between the magnitudes is direct, like in this case, the direct rule of three can be applied as follow:

a ⇒ b

c ⇒ x

Then $x=\frac{c*b}{a}$

First, the simple rule of three can be applied in the following way: if 1 minute equals 60 seconds, 15 minutes equals how many seconds?

$seconds=\frac{15 minutes*60 seconds}{1 minute}$

seconds= 900

So now you can apply the following rule of three: if in 25 seconds you travel 0.1 miles, in 900 seconds how many miles do you travel?

$distance=\frac{900 seconds*0.1 miles }{25 seconds}$

distance= 3.6 miles

If you then ride hard for 12 miles, the total distance traveled will be the sum of both:

3.6 miles + 12 miles = 15.6 miles

<u><em>The total distance covered is 15.6 miles.</em></u>

6 0

3 years ago

One serving of oatmeal has 8 grams of fiber, which is 33% of the recommended daily amount. What is the total recommended daily a

Y_Kistochka [10]

Answer:

24g

Step-by-step explanation:

8g / 0.33 = 24.242424g

5 0

3 years ago

An item was sold at a loss of 20%. Had it been sold for Rs 3000more then the profit would have been 10%. What is the cost price

vagabundo [1.1K]

Answer:

Cost Price = Rs 10000

Step-by-step explanation:

Assume:

Cost of the item = x

Item was sold at a loss of 20%:

Loss = 20% of x = 0.2x

Item sold = x - 0.2x = 0.8x

Item sold at a profit of 10%:

Profit = 10% of x = 0.1x

item sold = x + 0.1x = 1.1x

Solve:

Difference = 1.1x - 0.8x = 0.3x

0.3x = Rs 3000

x = Rs 3000 ÷ 0.3

x = Rs 10000

3 0

3 years ago