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2 years ago

Find the lateral and surface area of each figure. round to the nearest tenth if necessary

Mathematics

1 answer:

galben [10]2 years ago

4 0

Answer:

$\large\boxed{7.\ L.A.\approx7771.5\ mm^2}\\\\\boxed{8.\ L.A.\approx621.7\ in^2}\\\\\boxed{9.\ L.A.\approx628\ m^2}$

Step-by-step explanation:

The formula of a lateral surface of a cone:

$L.S.=\pi rs$

r - radius

s - slant height

====================================

$\pi\approx3.14$

$7.\\r=45mm,\ s=55mm\\\\L.A.=\pi(45)(55)=2475\pi\ mm^2\\\\L.A.\approx2475\cdot3.14=7771.5\ mm^3$

$8.\\r=11\ in,\ s=18\in\\\\L.A.=\pi(11)(18)=198\pi\ in^2\\\\L.A.\approx198\cdot3.14=621.72\ in^2\approx621.7\ in^2$

$9.\\r=10m,\ s=20m\\\\L.A.=\pi(10)(20)=200\pi\ m^2\\\\L.A.\approx200\cdot3.14=628\ in^2$

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2 years ago

A farmer owns about 960 acres of land. If his farm is square, what would be the length of each side in miles, to the nearest ten

OLEGan [10]

It is given in the question that

A farmer owns about 960 acres of land. If his farm is square.

First we convert acres to miles square, and the conversion expression is

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Therefore,

$960acres=960*0.0015625=1.5 mi^2$

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2 years ago

1/2 - 3/4 equals what

n200080 [17]

1. Method 1: By Listing MultiplesList out all multiples of each denominator, and find the first common one.

2: 2 , 4

4: 4
Therefore, the LCD is 4

Method 2: By Prime FactorsList all prime factors of each denominator, and find the union of these primes.
Therefore, the LCD is 2 x 2 = 4

2. Make the denominators the same as the LCD

 $\frac{1 x 2}{2 x 2} - \frac{3}{4}$

3. Simplify. Denominators are now the same.

 $\frac{2}{4} - \frac{3}{4}$

4. Join the denominators

$\frac{2-3}{4}$

5. Simplify

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Done! :) Decimal Form: -0.25

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3 years ago

Please help 6TH GRADE MATH HELP ME OUT PLEASE

wel

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▹ Answer

d. 7/20

▹ Step-by-Step Explanation

$\frac{1}{4} + \frac{1}{10} \\= Common denominator is 20\\\\\frac{1}{4} = \frac{5}{20} \\\\\frac{1}{10} = \frac{2}{20} \\\\\frac{5}{20} + \frac{2}{20} \\\\= \frac{7}{20}$

Hope this helps!

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3 years ago

Read 2 more answers

How do you solve 3 1/4 - 1 5/6

rjkz [21]

Answer:

to solve $3\frac{1}{4} -1\frac{5}{6}$ you would first need to convert them from mixed numbers to improper fractions. You can do this by multiplying the denominator with the whole number and then adding the numerator. Then you should make sure that the denominators are the same. You can do this by first finding a number that they will both multiply into. In this example it is 12. And when changing the denominator you must apply it to the numerator. So if you multiplied the denominator by 3 then you must multiply the numerator by 3. After you can just minus the numerators. However remember to keep the denominator the same. Then you can change it back into a mixed number by dividing the numerator by the denominator and having that whole number on the side of the fraction . lets say it is $\frac{13}{6}$ then you would divide 13 by 6 which is 2 and a decimal and then minus the number that is multiplied by the numerator and it will give a number that is smaller than the denominator and then it would become $2\frac{1}{6}$ .