1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
lbvjy [14]
3 years ago
12

The total surface area of a cylinder is 690.8. Its diameter is 10 inches. What is it’s height?

Mathematics
1 answer:
AysviL [449]3 years ago
7 0

Answer:

h=17\ in

Step-by-step explanation:

we know that

The total surface area of a cylinder is equal to

SA=2\pi r^{2}+2\pi rh

where

r is the radius of the base of cylinder

h is the height of cylinder

we have

SA=690.8\ in^2

r=10/2=5\ in ----> the radius is half the diameter

assume

\pi=3.14

substitute the given values and solve for h

690.8=2(3.14)(5^{2})+2(3.14)(5)h

690.8=157+31.4h

Solve for h

31.4h=690.8-157

31.4h=533.8

h=17\ in

You might be interested in
A political analyst predicts Mr. Smith will only get 122 votes for mayor. If Mr. Smith only gets 57 votes, what is the political
vichka [17]

Answer:

65%

Step-by-step explanation:

3 0
3 years ago
1) (3.1 x 10^1)(4.3 x 10^-6)​
allsm [11]

Answer:0.0001333

Step-by-step explanations :

8 0
3 years ago
Help me please. <br>20+(-16)4
Sphinxa [80]
P.E.M.D.A.S
First , you multiply.

200+(-16)4
200+(-64)

Since they have different signs, you subtract and keep the sign of the greater absolute value.

200+(-64)=136
8 0
3 years ago
Find the vertex of the graph of the function.
lapo4ka [179]

Answer: The correct options are  (1) (5,10), (2) (3,-3), (3) x = -1, (4) y=(x+2)^2+3, (5) 21s and (6) 0, -1, and 5.

Explanation:

Te standard form of the parabola is,

f(x)=a(x-h)^2+k        .....(1)

Where,  (h,k) is the vertex of the parabola.

(1)

The given equation is,

f(x)=(x-5)^2+10

Comparing this equation with equation (1),we get,

h=5 and k=10

Therefore, the vertex of the graph is (5,10) and the fourth option is correct.

(2)

The given equation is,

f(x)=3x^2-18x+24

f(x)=3(x^2-6x)+24

To make perfect square add (\frac{b}{2a})^2, i.e., 9. Since there is factor 3 outside the parentheses, so subtract three times of 9.

f(x)=3(x^2-6x+9)+24-3\times 9

f(x)=3(x-3)^2-3

Comparing this equation with equation (1),we get,

h=3 and k=-3

Therefore, the vertex of the graph is (3,-3) and the fourth option is correct.

(3)

The given equation is

f(x)=4x^2+8x+7

f(x)=4(x^2+2x)+7

To make perfect square add (\frac{b}{2a})^2, i.e., 1. Since there is factor 4 outside the parentheses, so subtract three times of 1.

f(x)=4(x^2+2x+1)+7-4

f(x)=4(x+1)^2+3

Comparing this equation with equation (1),we get,

h=-1 and k=3

The vertex of the equation is (-1,3) so the axis is x=-1 and the correct option is 2.

(4)

The given equation is,

y=x^2+4x+7

To make perfect square add (\frac{b}{2a})^2, i.e., 2^2.

f(x)=x^2+4x+4+7-4

f(x)=x^2+4x+4+7-4

f(x)=(x+2)^2+3

Therefore, the correct option is  4.

(5)

The given equation is,

h=-16t^2+672t

It can be written as,

h=-16(t^2-42t)

It is a downward parabola. so the maximum height of the function is on its vertex.

The x coordinate of the vertex is,

x=\frac{b}{2a}

x=\frac{42}{2}

x=21

Therefore,  after 21 seconds the projectile reach its maximum height and the correct option is first.

(6)

The given equation is,

f(x)=3x^3-12x^2-15x

f(x)=3x(x^2-4x-5)

Use factoring method to find the factors of the equation.

f(x)=3x(x^2-5x+x-5)

f(x)=3x(x(x-5)+1(x-5))

f(x)=3x(x-5)(x+1)

Equate each factor equal to 0.

x=0,-1,5

Therefore, the zeros of the given equation is 0, -1, 5 and the correct option is 2.

3 0
3 years ago
7. a hockey arena has 10 920 seats. the first row of seats around the rink has 220 seats. the number of seats in each subsequent
Mazyrski [523]

The number of rows in the arena is 26

<h3>How to determine the number of rows?</h3>

The hockey arena illustrates an arithmetic sequence, and it has the following parameters:

  • First term, a = 220
  • Sum of terms, Sn = 10920
  • Common difference, d = 16

The number of rows (i.e. the number of terms) is calculated using:

S_n = \frac{n}{2}(2a + (n -1) * d)

So,we have:

10920 = \frac{n}{2}(2 * 220 + (n -1) * 16)

Evaluate the terms and factors

21840 = n(440 + 16n -16)

Evaluate the like terms

21840 = n(424+ 16n)

Expand

21840 = 424n + 16n^2

Rewrite as:

16n^2 + 424n - 21840 = 0

Using a graphical tool, we have:

n = 26

Hence, the number of rows in the arena is 26

Read more about arithmetic sequence at:

brainly.com/question/6561461

#SPJ1

4 0
2 years ago
Other questions:
  • A recent survey of 8,000 high school students found that the mean price of a prom dress was $195.00 with a standard deviation of
    12·2 answers
  • A population of voters contains 4 0% republicans and 6 0% democrats. it is reported that 30% of the republicans and 7 0% of the
    7·1 answer
  • Use repeated sustraction or a number line to solve​
    7·1 answer
  • One factor is 151.the product is 1812.what is the other factor
    5·1 answer
  • -5+[-7] =<br> Right answer only
    13·2 answers
  • <img src="https://tex.z-dn.net/?f=%20-%20x%20-%203%20%2B%20x%20%3D%20%20%5Csqrt%7B9%20-%202x%7D%20%20%20%2B%20x" id="TexFormula1
    6·2 answers
  • Find the direction of <br>u = - 3 i + 8 j <br>​
    14·1 answer
  • Si en un examen 27 preguntas son correctas el 90%, cuántas preguntas son en total?​
    13·1 answer
  • Please help me!! Will give brainlyist
    15·1 answer
  • Angles related to a circle. Solve for x.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!