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3 years ago

Find the volume of a right circular cone that has a height of 19.5 m and a base with a

Mathematics

2 answers:

Yanka [14]3 years ago

8 0

Answer: 310.4361m³

Step-by-step explanation:

The volume of a cone is given as:

= ⅓πr²h

where,

π = 3.14

r = 3.9m

h = 19.5m

Volume = 1/3 × 3.14 × 3.9² × 19.5

Volume = 1/3 × 3.14 × 15.21 × 19.5

Volume = 1/3 × 931.3083

Volume = 310.4361m³

The volume of the right circular cone will be 310.4361m³

melisa1 [442]3 years ago

6 0

Answer:

310.6m^3

Step-by-step explanation:

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-3q + 12 greater than equal too 4q - 30 solve for q

valentina_108 [34]

Solving the inequality $-3q+12\geq 4q-30$ the value of q is $q\leq 6$

Step-by-step explanation:

We need to solve the inequality: $-3q+12\geq 4q-30$ and find value of q

Solving:

$-3q+12\geq 4q-30\\Adding\,\,-12\,\,on\,\,both\,\,sides:\\-3q+12-12\geq 4q-30-12\\-3q\geq 4q-42\\Adding\,\,-4q\,\,on\,\,both\,\,sides:\\-3q-4q\geq 4q-42-4q\\-7q\geq -42\\Divide\,\,both\,\,sides\,\,by\,\,7\\\frac{-7q}{7}\geq \frac{-42}{7}\\ -q\geq -6\\Multiply\,\,both\,\,sides\,\,by\,\,-1\,\,and\,\,reverse\,\,the\,\,inequality:\\q\leq 6$

So, solving the inequality $-3q+12\geq 4q-30$ the value of q is $q\leq 6$

Keywords: Solving inequality

Learn more about solving inequality at:

#learnwithBrainly

6 0

3 years ago

According to a study done by Wakefield Research, the proportion of Americans who can order a meal in a foreign language is 0.47.

UNO [17]

Answer:

Probability that the proportion of Americans who can order a meal in a foreign language is greater than 0.5 is 0.19766.

Step-by-step explanation:

We are given that according to a study done by Wake field Research, the proportion of Americans who can order a meal in a foreign language is 0.47.

Suppose a random sample of 200 Americans is asked to disclose whether they can order a meal in a foreign language.

Let $\hat p$ = sample proportion of Americans who can order a meal in a foreign language

The z-score probability distribution for sample proportion is given by;

Z = $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ ~ N(0,1)

where, $\hat p$ = sample proportion

p = population proportion of Americans who can order a meal in a foreign language = 0.47

n = sample of Americans = 200

Probability that the proportion of Americans who can order a meal in a foreign language is greater than 0.5 is given by = P( $\hat p$ > 0.50)

P( $\hat p$ > 0.06) = P( $\frac{ \hat p-p}{\sqrt{\frac{\hat p(1-\hat p)}{n} } }$ > $\frac{0.5-0.47}{\sqrt{\frac{0.5(1-0.5)}{200} } }$ ) = P(Z > 0.85) = 1 - P(Z $\leq$ 0.85)

= 1 - 0.80234 = 0.19766

Now, in the z table the P(Z $\leq$ x) or P(Z < x) is given. So, the above probability is calculated by looking at the value of x = 0.85 in the z table which has an area of 0.80234.

Therefore, probability that the proportion of Americans who can order a meal in a foreign language is greater than 0.5 is 0.19766.

4 0

3 years ago

What is the area of the polygon given below

Bezzdna [24]

Answer: 287

Step-by-step explanation:

6 0

2 years ago

Find the perimeter of the rectangle. A 10.5 m B 17 m C 21 m D 34 m

marusya05 [52]

17........................

6 0

3 years ago

Read 2 more answers

An architect plans to build an extension to Meiling's rectangular deck. Let x represent the increase, in meters, of her deck

elena-14-01-66 [18.8K]

Complete question is;

An architect plans to build an extension to meiling's rectangular deck. Let x represent the increase, in meters, of her deck's length. The expression 4(x+8) represents the area of the deck, where 4 is the width, in meters, and (x+8) represents the extended length, in meters. Use distributive property to write an expression that represents the total area of meilings new deck.

Answer:

4x + 32

Step-by-step explanation:

We are told that the expression 4(x+8) represents the area of the deck.

Also, that 4 is the width, in meters, and (x+8) represents the extended length, in meters.

Thus, area is;

A = 4(x+8)

Using distributive property simply means we will distribute the term outside the bracket to each term inside the bracket.

Thus;

A = (4 * x) + (4 × 8)

A = 4x + 32

8 0

2 years ago