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
Olenka [21]
3 years ago
6

The area of the figure

Mathematics
1 answer:
Klio2033 [76]3 years ago
7 0

Answer:

[(4+6)x6]÷2-pie(2)^2

17.4336cm

You might be interested in
PLEASE ANSWER <br><br> ...<br> Subtract-3x – 8 from 4x2<br> 72 – 2.
agasfer [191]
I’m guessing you meant 4x^2 (x to the power of two or x squared) rather than 4x2 (4 multiplied by two, meaning 8).

4x^2 -(-3x-8)
= 4x^2 +3x +8

72-2 = 70
7 0
3 years ago
Find equations of the spheres with center(3, −4, 5) that touch the following planes.a. xy-plane b. yz- plane c. xz-plane
postnew [5]

Answer:

(a) (x - 3)² + (y + 4)² + (z - 5)² = 25

(b) (x - 3)² + (y + 4)² + (z - 5)² = 9

(c) (x - 3)² + (y + 4)² + (z - 5)² = 16

Step-by-step explanation:

The equation of a sphere is given by:

(x - x₀)² + (y - y₀)² + (z - z₀)² = r²            ---------------(i)

Where;

(x₀, y₀, z₀) is the center of the sphere

r is the radius of the sphere

Given:

Sphere centered at (3, -4, 5)

=> (x₀, y₀, z₀) = (3, -4, 5)

(a) To get the equation of the sphere when it touches the xy-plane, we do the following:

i.  Since the sphere touches the xy-plane, it means the z-component of its centre is 0.

Therefore, we have the sphere now centered at (3, -4, 0).

Using the distance formula, we can get the distance d, between the initial points (3, -4, 5) and the new points (3, -4, 0) as follows;

d = \sqrt{(3-3)^2+ (-4 - (-4))^2 + (0-5)^2}

d = \sqrt{(3-3)^2+ (-4 + 4)^2 + (0-5)^2}

d = \sqrt{(0)^2+ (0)^2 + (-5)^2}

d = \sqrt{(25)}

d = 5

This distance is the radius of the sphere at that point. i.e r = 5

Now substitute this value r = 5 into the general equation of a sphere given in equation (i) above as follows;

(x - 3)² + (y - (-4))² + (z - 5)² = 5²  

(x - 3)² + (y + 4)² + (z - 5)² = 25  

Therefore, the equation of the sphere when it touches the xy plane is:

(x - 3)² + (y + 4)² + (z - 5)² = 25  

(b) To get the equation of the sphere when it touches the yz-plane, we do the following:

i.  Since the sphere touches the yz-plane, it means the x-component of its centre is 0.

Therefore, we have the sphere now centered at (0, -4, 5).

Using the distance formula, we can get the distance d, between the initial points (3, -4, 5) and the new points (0, -4, 5) as follows;

d = \sqrt{(0-3)^2+ (-4 - (-4))^2 + (5-5)^2}

d = \sqrt{(-3)^2+ (-4 + 4)^2 + (5-5)^2}

d = \sqrt{(-3)^2 + (0)^2+ (0)^2}

d = \sqrt{(9)}

d = 3

This distance is the radius of the sphere at that point. i.e r = 3

Now substitute this value r = 3 into the general equation of a sphere given in equation (i) above as follows;

(x - 3)² + (y - (-4))² + (z - 5)² = 3²  

(x - 3)² + (y + 4)² + (z - 5)² = 9  

Therefore, the equation of the sphere when it touches the yz plane is:

(x - 3)² + (y + 4)² + (z - 5)² = 9  

(b) To get the equation of the sphere when it touches the xz-plane, we do the following:

i.  Since the sphere touches the xz-plane, it means the y-component of its centre is 0.

Therefore, we have the sphere now centered at (3, 0, 5).

Using the distance formula, we can get the distance d, between the initial points (3, -4, 5) and the new points (3, 0, 5) as follows;

d = \sqrt{(3-3)^2+ (0 - (-4))^2 + (5-5)^2}

d = \sqrt{(3-3)^2+ (0+4)^2 + (5-5)^2}

d = \sqrt{(0)^2 + (4)^2+ (0)^2}

d = \sqrt{(16)}

d = 4

This distance is the radius of the sphere at that point. i.e r = 4

Now substitute this value r = 4 into the general equation of a sphere given in equation (i) above as follows;

(x - 3)² + (y - (-4))² + (z - 5)² = 4²  

(x - 3)² + (y + 4)² + (z - 5)² = 16  

Therefore, the equation of the sphere when it touches the xz plane is:

(x - 3)² + (y + 4)² + (z - 5)² = 16

 

3 0
3 years ago
Michael's bike uses 3 litres of fuel for
gavmur [86]
ANSWER:
$18.90

EXPLANATION:
3L of fuel for every 100km

450km = 13.5L

13.5 x 1.40 = $18.90
7 0
1 year ago
A group of students plotted the number of hours they worked and the number of hours they spent talking to their friends on the p
deff fn [24]
The correct answer is <span>C:Greater hours worked, fewer hours spent talking on the phone.
</span>

5 0
3 years ago
Read 2 more answers
Consider the graph of the quadratic function. Which interval on the x-axis has a negative rate of change?
Gre4nikov [31]

The average rate of change is defined as:

AVR = \frac{f(x2)-f(x1)}{x2-x1}

For AVR to be negative, it must comply with:

x2 - x1> 0

f (x2)

Therefore, we observe that the interval that fulfills these conditions is the whole interval to the right of the parabola.

Among the options given, this interval is:

1 to 2.5

Answer:

An interval on the x-axis that has a negative rate of change is:

D. 1 to 2.5

3 0
3 years ago
Read 2 more answers
Other questions:
  • Gerry has 50 sports trading cards. Of those cards one fifth of them are baseball cards, one teenth of them are football cards, a
    15·1 answer
  • Which equation represents a direct linear variation? A. y = x + 3 B. y = x2 C. y = 1/x D. y= 1/5x
    7·1 answer
  • Lucruri in comun pe care le au numerele 203620,43998,13562,873026,3504
    7·1 answer
  • A bag contains 2 red marbles 7 blue marbles 5 green marbles. If two marbles are drawn out of the bag, what is the exact probabil
    14·1 answer
  • What is/are the exact solutions for the equation 2cos^2x+3cosx+1=0 on the intercal (0,2pi)
    15·1 answer
  • A3+B2=54 What is the formula to know the values of A and B ?
    8·1 answer
  • Let F(x, y, z) = (5ex sin(y))i + (5ex cos(y))j + 7z2k. Evaluate the integral C F · ds, where c(t) = 8 t , t3, exp( t ) , 0 ≤ t ≤
    10·1 answer
  • HELP PLS BRAINLIEST INVOLVED FOR THE RIGHT ANSWER!!!!!
    11·2 answers
  • The system of equations 2y=14-2x and y=-x+7 is graphed. What is the solution to the system of equations?
    12·1 answer
  • Which of the following is a direct proportion?<br> A. y=7x<br> B. y=x+7<br> C. y=7x−7<br> D. y=7
    12·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!