8<br> Given the summation E (3 + 2n),<br> n=1<br> a. Write the first four terms of the sequence.

Liliana is making a vase with a circular base. She wants the area of the base to be between 135 cm2 and 155 cm2. Which circle co

Umnica [9.8K]

Answer:

(b) Circle C is shown. Line segment A C is a radius with length 7 centimeters.

Step-by-step explanation:

Given

$Minimum\ Area = 135cm^2$

$Maximum\ Area = 155cm^2$

$\pi = 3.14$

Required

Which circle could she use

To do this, we simply calculate the areas of all the given circles

The area of a circle is:

$Area = \pi r^2$

Where

$r = radius$

$a.\ r = 6cm$

The area is calculated as thus:

$Area = \pi r^2$

$Area = 3.14 * (6cm)^2$

$Area = 3.14 * 36cm^2$

$Area = 114.04cm^2$

$b.\ r = 7cm$

The area is calculated as thus:

$Area = \pi r^2$

$Area = 3.14 * (7cm)^2$

$Area = 3.14 * 49cm^2$

$Area = 153.86cm^2$

$c.\ r = 8cm$

The area is calculated as thus:

$Area = \pi r^2$

$Area = 3.14 * (8cm)^2$

$Area = 3.14 * 64cm^2$

$Area = 200.96cm^2$

$d.\ r = 9cm$

The area is calculated as thus:

$Area = \pi r^2$

$Area = 3.14 * (9cm)^2$

$Area = 3.14 * 81cm^2$

$Area = 254.34cm^2$

<em>From the calculations above; only the circle in option (b) has an area within the required range of 135 to 155cm^2</em>

6 0

3 years ago

Read 2 more answers

Which shows the numbers in order from least to greatest?

Artemon [7]

D.

1 3/7 = 1.43

therefore from least to greatest it would need to be
1.38,1.4,1.43

or in the question

1.38, 1.4, 1 3/7

Therefore the answer would be D.

Hope this helps!

7 0

3 years ago

Read 2 more answers

Please help me with this

Tamiku [17]

Answer:

20%

hope it helps you

8 0

2 years ago

30millimeter long suppose she uses microscope to magnify the spider 4*10 /2

Dafna11 [192]

I don't know what I've been told

7 0

3 years ago

Car A is rated at 32 mi/gal (miles per gallon) for city driving and 29 mi/gal for highway driving. Car B is rated at 27 mi/g

Irina18 [472]

The gallons of gas that each vehicle would consume for the different amounts of driving are as follows:

a) For 300 mi of city driving plus 100 mi of highway driving, car A will consume <u>12.825 gallons</u> of gas, while car B will consume <u>14.05 gallons</u> of gas.

b) For 100 mi of city driving plus 300 mi of highway driving, car A will consume <u>13.475 gallons</u> of gas, while car B will consume <u>12.52 gallons</u> of gas.

<h3>Data and Calculations:</h3><h3>Rating (miles per gallon)</h3>

City Driving Highway Driving

Car A 32 mi/gal 29 mi/gal

Car B 27 mi/gal 34 mi/gal

<h3>Miles of Driving</h3>

City Driving Highway Driving

a) 300 mi 100 mi

b) 100 mi 300 mi

<h3>Car A's Consumption of Gas:</h3>

City Driving Highway Driving Total

a) 9.375 gal.(300/32) 3.45 gal. (100/29) 12.825 gal.

b) 3.125 gal.(100/32) 10.35 gal (300/29) 13.475 gal.

<h3>Car B's Consumption of Gas:</h3>

City Driving Highway Driving Total

a) 11.11 gal. (300/27) 2.94 gal. (100/34) 14.05 gal.

b) 3.70 gal. (100/27) 8.82 gal. (300/34) 12.52 gal.

Thus, different driving ratings (miles per gallon) show the differences in gas consumption by vehicles in city driving and highway driving.

Learn more about the consumption of gas for driving at brainly.com/question/13244789

#SPJ1

8 0

2 years ago

8 Given the summation E (3 + 2n), n=1 a. Write the first four terms of the sequence.