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Explain how to estimate the lateral area of a right cone with radius 5 cm and slant height 6 cm. Is your estimate an underestima

Iteru [2.4K]

Answer:

The answer in the procedure

Step-by-step explanation:

we know that

The lateral area of a cone is equal to

$LA=\pi rl$

where

r is the radius of the base

l is the slant height

we have

$r=5\ cm$

$l=6\ cm$

assume $\pi =3.14$

substitute the values

$LA=(3.14)(5)(6)=94.2\ cm^{2}$

This value is an underestimate, because the assumed pi value is less than the real value

assumed value $\pi =3.14$

real value $\pi =3.1415926536...$

8 0

3 years ago

Triangle R Q S is cut by line segment T U. Line segment T U goes from side Q R to side Q S. The length of Q T is 32, the length

Marizza181 [45]

The statement that is true is option A that is Line segment TU is parallel to line segment RS because StartFraction 32 Over 36 EndFraction = StartFraction 40 Over 45 EndFraction.

<h3>What is the line segment about?</h3>

The law of the side- splitter connote that when f the line is parallel to a side of the triangle and if that said line do intersects the other 2 sides, tt is said to divides those given sides proportionally.

So the converse means that when the sides are proportional so therefore, the side TU is said to be parallel to the side RS.

Thus;

$\frac{QT}{TR}$ = $\frac{32}{36} = \frac{8}{9}\\\\ \\$

$\\\frac{QU}{US} =\frac{40}{45} = \frac{8}{9}\\$

Therefore, the ratios are equal and as such TU is parallel to RS

Hence, The statement that is true is option A that is Line segment TU is parallel to line segment RS because StartFraction 32 Over 36 EndFraction = StartFraction 40 Over 45 EndFraction.

Learn more about Line segment from

brainly.com/question/2437195

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5 0

1 year ago

Solve by elimination<br> 5x+4y = 12<br> 3x - 3y = 18<br><br> Please help solve and provide steps.

SOVA2 [1]

First you solve for y.
5x+ y= 12 so Y= 12-5x
And plug it into the next equation
3x- 3(12-5x) = 18
Distribute
3x-36+15x=18
Add 36 to both sides
3x+ 15x= 54
18x= 54 ... divide
x= 3
And you can plug in x to solve for Y
5(3) + y = 12
15+ y = 12 ...subtract 15 from both sides
y= -3

4 0

3 years ago

Read 2 more answers

Express $112 for 14 hours as a unit rate

Blizzard [7]

14 hours = $112
1 hour = 112 ÷ 14 = $8

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Answer: It is $8/hour
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3 0

3 years ago

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A bag initially contains red marbles and blue marbles only, with more blue than red. Red marbles are added to the bag until only

STALIN [3.7K]

(C) $\frac{1}{3}$ fraction of the marbles now in the bag is blue.

<h3>What is a fraction?</h3>

A fraction is a portion of a whole or, more broadly, any number of equal parts.
In everyday English, a fraction represents the number of pieces of a specific size, such as one-half, eight-fifths, or three-quarters.
A common, vulgar, or simple fraction that consists of a numerator above a line and a non-zero denominator below that line.
Numerators and denominators are also employed in uncommon fractions such as compound fractions, complex fractions, and mixed numerals.

To find what fraction of the marbles now in the bag is blue:

Important information is that immediately before the last step blue marbles formed $\frac{1}{5}$ from the marble in the bag.
That means that there were $x$ blue and $4x$ other marbles, for some $x$ .
When we double the number of blue marbles, there will be $2x$ blue and $4x$ other marbles.
Hence, blue marbles now form $\frac{1}{3}$ all marbles in the bag.

Therefore, (C) $\frac{1}{3}$ fraction of the marbles now in the bag is blue.

Know more about fractions here:

brainly.com/question/17220365

SPJ4

Complete question:

A bag initially contains red marbles and blue marbles only, with more blue than red. Red marbles are added to the bag until only 1 / 3 of the marbles in the bag are blue. Then yellow marbles are added to the bag until only 1 / 5 of the marbles in the bag are blue. Finally, the number of blue marbles in the bag is doubled. What fraction of the marbles now in the bag are blue?

(A) 1/5

(B) 1/4

(C) 1/3

(D) 2/5

(E) 1/2

7 0

1 year ago