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3 years ago

Find the height of a cylinder with radius 25 cm and surface area 8953.54 cm2.

Mathematics

1 answer:

zhuklara [117]3 years ago

3 0

Answer:

Find the height of a cylinder with radius 25 cm and surface area 8953.54 cm².

O = 2·pi·r^2 + 2·pi·r·h --> h = O/(2·pi·r) - r = 8953.54/(2·pi·25) - 25 = 32.00 cm

Find the volume of a rectangular prism that measures 47 meters long, 24 meters wide, and 33 meters high.

V = a·b·c = 47·24·33 = 37224 m³

Find the surface area of a square pyramid with dimensions 6 ft by 6 ft, and slant height 9 ft.

O = a^2 + 2·a·hs = 6^2 + 2·6·9 = 144 ft²

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The points (2, -12) and (4, r) lie on a line with slope 4. Find the missing coordinate r.

NISA [10]

Answer: The missing coordinate -10

Step-by-step explanation: (4,r) = -10

7 0

3 years ago

Read 2 more answers

Roll one fair, six-sided die, numbered 1 through 6. Let A be the event you will roll an even number. Let B be the event you will

11111nata11111 [884]

Answer:

a) not independent

b) not mutually exclusive

Step-by-step explanation:

Given:

- A 6 sided die is rolled

- Event A is rolling an even number

- Event B is rolling a prime number

Find

- (a) Are A and B independent events?

- (b) Are A and B mutually exclusive events?

Solution:

- We will find the probability of each event:

set(Even number: A) = {2, 4, 6} = 3 outcomes

set(Prime number: B) = {2 , 3, 5} = 3 outcomes

- The probabilities are:

P(A) = 3/6 = 0.5

P(B) = 3/6 = 0.5

- For Event A and B to be independent then the following condition must match:

P ( A & B ) = P(A)*P(B)

set (A&B) = {2} = 1 outcome

P(A&B) = 1/6

1 / 6 = 0.5*0.5

1/6 = 0.25 ...... NOT INDEPENDENT

- For Event A and B to be mutually exclusive then the following condition must match:

P(A&B) = 0

P(A&B) = 1/6

Hence, we can say the events are NOT MUTUALLY EXCLUSIVE

7 0

3 years ago

Christian reads 14 book every 23 week.

mihalych1998 [28]

Picture 1: The amount of tax for Veena's meal is $1.02

Picture 2: Christian reads $\frac{3}{8}$ books per week.

Picture 3: 80% is equal to $\frac{4}{5}$ .

Step-by-step explanation:

Picture 1: Veena ate lunch at a deli. She ordered turkey sandwich for $9.25 and a salad for $4.35. The tax was 7.5%. What is the amount of tax for Veena's meal.

Given,

Price of turkey sandwich = $9.25

Price of salad = $4.35

Total amount = 9.25+4.35 = $13.60

Tax = 7.5%

Amount of tax = 7.5% of total cost

Amount of tax = $\frac{7.5}{100}*13.60$

Amount of tax = $\frac{102}{100} = \$1.02$

The amount of tax for Veena's meal is $1.02

Picture 2: Christian reads 1/4 book every 2/3 week. How many books does Christian read per week?

Given,

Books read every 2/3 weeks = 1/4 books

$\frac{2}{3}\ weeks=\frac{1}{4}\ books\\$

For determining the number of books read per week, we will multiply both sides by $\frac{3}{2}$

$\frac{3}{2}*\frac{2}{3}\ week=\frac{1}{4}*\frac{3}{2}\ books\\\\1\ week = \frac{3}{8}\ books\\\\$

Christian reads $\frac{3}{8}$ books per week.

Picture 3: What percent is equivalent to $\frac{4}{5}$ ?

We will multiply the given fraction with hundred for calculating the percentage.

$\frac{4}{5}*100\\\\\frac{400}{5}\\\\80\%$

Therefore,

80% is equal to $\frac{4}{5}$ .

Keywords: percentage, division

Learn more about percentages at:

#LearnwithBrainly

3 0

3 years ago

If alpha beta are the roots of the equation

Vikki [24]

Answer:

Step-by-step explanation:

Hello, I believe that we can consider a different from 0.

By definition of the roots we can write.

$ax^2+bx+c=a(x-\alpha)(x-\beta)=a(x^2-(\alpha + \beta)x+\alpha \cdot \beta)\\\\\text{So we can say that:}\\\\\alpha + \beta = \dfrac{-b}{a}\\\\\alpha \cdot \beta=\dfrac{c}{a}\\\\\text{So the expected quadratic equation is}\\\\(x+\dfrac{b}{a})(x-\dfrac{c}{a})=0\\\\ \Large \boxed{\sf \bf \ (ax+b)(ax-c)=0 \ }$

Thank you

8 0

3 years ago

Please Answer this asap

faust18 [17]

It’s skewed to the left

4 0

3 years ago

Read 2 more answers