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
ale4655 [162]
3 years ago
9

I don't Understand How to answer questions 8, 10, 11, and 12. I have already answered all the other questions on the paper. The

way that I solved the other questions doesn't work on these ones as the answer I get is negative. Thanks!
P.S. File With Questions Is Attached

Mathematics
1 answer:
Alexxandr [17]3 years ago
4 0
8) The figure is a heptagon. This means the sum of the interior angles would be 180(7-2) = 5 * 180 = 900. Then this means you can say that the sum of all angles would equal 900.

(133 + 106 + 120 + 133 + (13 - 9)) + (m + m + m) = 900
-------Combine Like terms----------
496 + 3m = 900
-------Subtraction------------
3m = 404
--------Division--------
m = 404/3

If the answer doesn't seem right, just plug it in!

496 + 3(404/3) = 900
496 + 404 = 900
900 = 900

10) Same thing. The sum of the interior angles in a pentagon are 540. 

(122 + 90 + 88 + 96) + k = 540 
396 + k = 540
k = 144

11) The angle supplementary to the angle which measures 138 is 42. The sum of all the interior angles of a quadrilateral is 360. Let us call the missing INTERIOR angle x. 

(104 + 98 + 42) + x = 360
244 + x = 360
x = 116
So the missing EXTERIOR angle is 180 - 116 which is 64.

12 is a bit confusing without showing you sorry :(



You might be interested in
People enjoyed attending the concert in the park. Twice as many men as women attended the concert. If the total attendance was 7
vazorg [7]
Hello! A way we could solve this equation is to divide 714 by three and then multiply the quotient by 2 to get the number of men that attended. 714/3 is 238. There were 238 women that attended the concert. 238 * 2 is 476. 476 + 238 = 714. There. There were 476 men that attended the concert.
5 0
3 years ago
Read 2 more answers
A restaurant operator in Accra has found out that during the partial lockdown, if she sells a plate of her food for GH¢20 each,
Lilit [14]

Answer:

Step-by-step explanation:

First, note this parameters from the question.

We let x = number of $5 increases and number of 10 decreases in plates sold.

Our Revenue equation is:

R(x) = (300-10x)(10+5x)

We expand the above equation into a quadratic equation by multiplying each bracket:

R(x) = 3000 + 1500x - 3000x - 1500x^2

R(x) = -1500x^2 - 1500x + 3000 (collect like terms)

Next we simplify, by dividing through by -1500

= 1500x^2/1500 - 1500x/1500 + 3000/1500

= X^2 - x + 2

X^2 - x + 2 = 0

Next, we find the axis of symmetry using the formula x = -b/(2*a) where b = 1, a = 1

X = - (-1)/2*1

X = 1/2

Number of $5 increases = $5x1/2 = $2.5

=$2.5 + $20 = $22.5 ticket price gives max revenue.

7 0
3 years ago
Name/ Uid:1. In this problem, try to write the equations of the given surface in the specified coordinates.(a) Write an equation
Gemiola [76]

To find:

(a) Equation for the sphere of radius 5 centered at the origin in cylindrical coordinates

(b) Equation for a cylinder of radius 1 centered at the origin and running parallel to the z-axis in spherical coordinates

Solution:

(a) The equation of a sphere with center at (a, b, c) & having a radius 'p' is given in cartesian coordinates as:

(x-a)^{2}+(y-b)^{2}+(z-c)^{2}=p^{2}

Here, it is given that the center of the sphere is at origin, i.e., at (0,0,0) & radius of the sphere is 5. That is, here we have,

a=b=c=0,p=5

That is, the equation of the sphere in cartesian coordinates is,

(x-0)^{2}+(y-0)^{2}+(z-0)^{2}=5^{2}

\Rightarrow x^{2}+y^{2}+z^{2}=25

Now, the cylindrical coordinate system is represented by (r, \theta,z)

The relation between cartesian and cylindrical coordinates is given by,

x=rcos\theta,y=rsin\theta,z=z

r^{2}=x^{2}+y^{2},tan\theta=\frac{y}{x},z=z

Thus, the obtained equation of the sphere in cartesian coordinates can be rewritten in cylindrical coordinates as,

r^{2}+z^{2}=25

This is the required equation of the given sphere in cylindrical coordinates.

(b) A cylinder is defined by the circle that gives the top and bottom faces or alternatively, the cross section, & it's axis. A cylinder running parallel to the z-axis has an axis that is parallel to the z-axis. The equation of such a cylinder is given by the equation of the circle of cross-section with the assumption that a point in 3 dimension lying on the cylinder has 'x' & 'y' values satisfying the equation of the circle & that 'z' can be any value.

That is, in cartesian coordinates, the equation of a cylinder running parallel to the z-axis having radius 'p' with center at (a, b) is given by,

(x-a)^{2}+(y-b)^{2}=p^{2}

Here, it is given that the center is at origin & radius is 1. That is, here, we have, a=b=0,p=1. Then the equation of the cylinder in cartesian coordinates is,

x^{2}+y^{2}=1

Now, the spherical coordinate system is represented by (\rho,\theta,\phi)

The relation between cartesian and spherical coordinates is given by,

x=\rho sin\phi cos\theta,y=\rho sin\phi sin\theta, z= \rho cos\phi

Thus, the equation of the cylinder can be rewritten in spherical coordinates as,

(\rho sin\phi cos\theta)^{2}+(\rho sin\phi sin\theta)^{2}=1

\Rightarrow \rho^{2} sin^{2}\phi cos^{2}\theta+\rho^{2} sin^{2}\phi sin^{2}\theta=1

\Rightarrow \rho^{2} sin^{2}\phi (cos^{2}\theta+sin^{2}\theta)=1

\Rightarrow \rho^{2} sin^{2}\phi=1 (As sin^{2}\theta+cos^{2}\theta=1)

Note that \rho represents the distance of a point from the origin, which is always positive. \phi represents the angle made by the line segment joining the point with z-axis. The range of \phi is given as 0\leq \phi\leq \pi. We know that in this range the sine function is positive. Thus, we can say that sin\phi is always positive.

Thus, we can square root both sides and only consider the positive root as,

\Rightarrow \rho sin\phi=1

This is the required equation of the cylinder in spherical coordinates.

Final answer:

(a) The equation of the given sphere in cylindrical coordinates is r^{2}+z^{2}=25

(b) The equation of the given cylinder in spherical coordinates is \rho sin\phi=1

7 0
3 years ago
What is m<4+m<5+m<6?
viktelen [127]

Answer:

<h2>m < 1</h2>

Step-by-step explanation:

m

4 0
3 years ago
Which type of structure means the sales people are only paid when they make sales?
Illusion [34]

Answer:

D

Step-by-step explanation:

commission is what you get when you make sales

4 0
3 years ago
Read 2 more answers
Other questions:
  • Carol buys last year's best-selling novel, in hardcover, for $24.65. This is with a 15% discount from the original price. What w
    12·1 answer
  • Find the value of y...​
    13·1 answer
  • Guys please help :(<br><br> What are the factors?<br> x = -2<br> x=0<br> x=3<br> x=1/4
    12·1 answer
  • Decide if the statement is true or false.<br> 7 is a solution of - 4x = -28.
    15·1 answer
  • Directions: Find each value or measure. Assume that segments that appear to be tangent are tangent ​
    8·1 answer
  • What's the name of angle C thanks for the help :)
    5·1 answer
  • Your parents offer you 50%<br> interest every day if you<br> invest your 4 dollars with<br> them.
    8·1 answer
  • [Maximum mark: 6]
    12·1 answer
  • Please answer thankssss
    7·2 answers
  • 4. A list of 8 numbers is formed by beginning with two given numbers. Each new number in the list is the product of the two prev
    5·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!