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
Arlecino [84]
3 years ago
13

Find the total number of outcomes from rolling a number cube with sides labeled 1-6 and choosing a letter from the word "NUMBERS

." Then find the probability of rolling a 6 and choosing an M.
Mathematics
1 answer:
Irina18 [472]3 years ago
4 0

Answer:

........................................................................................

Step-by-step explanation:

You might be interested in
What does the digit 8 represent in 687, 413?
zvonat [6]

Answer:

80,000

hope this helps

have a good day :)

Step-by-step explanation:

8 0
3 years ago
Read 2 more answers
Mr Diaz decreased the speed of his car by 30 miles per hour over a period of 10 seconds. What is the average change in the speed
Allisa [31]
Divide 30 by 10. 30mph/10seconds = 3mph/seconds
4 0
3 years ago
How many x -intercepts does the parabola whose function is f(x)=3 x 2 +4x+4
artcher [175]

Answer:

They are none x- intercepts on the parabola. To find the x-intercept, substitute in 0 for y and solve for x.

3 0
3 years ago
Read 2 more answers
A map represents every 4 miles with 1 inch. If a school and a bank are actually 12 miles apart, how far apart are they on the ma
d1i1m1o1n [39]

Answer:

3 inches

Step-by-step explanation:

3 0
3 years ago
A certain square is to be drawn on a coordinate plane. One of the vertices must be on the origin, and the square is to have an a
Scrat [10]

Answer:

The answer is (C) 8

Step-by-step explanation:

First, let's calculate the length of the side of the square.

A_{square}=a^2, where a is the length of the side. Now, let's try to build the square. First we need to find a point which distance from (0, 0) is 10. For this, we can use the distance formula in the plane:

d = \sqrt{(x_2-x_1)^2 + (y_2-y_1)^2} which for x_1=0 and y_1 = 0 transforms as  d=\sqrt{(x_2)^2 + (y_2)^2}. The first point we are looking for is connected to the origin and therefore, its components will form a right triangle in which, the Pythagoras theorem holds, see the first attached figure. Then, x_2, y_2 and 10 are a Pythagorean triple. From this, x_2= 6 or  x_2=8 while y_2= 6 or y_2=8. This leads us with the set of coordinates:

(\pm 6, \pm 8) and (\pm 8, \pm 6).  (A)

The next step is to find the coordinates of points that lie on lines which are perpendicular to the lines that joins the origin of the coordinate system with the set of points given in (A):

Let's do this for the point (6, 8).

The equation of the line that join the point (6, 8) with the origin (0, 0) has the equation y = mx +n, however, we only need to find its slope in order to find a perpendicular line to it. Thus,

m = \frac{y_2-y_1}{x_2-x_1} \\m =  \frac{8-0}{6-0} \\m = 8/6

Then, a perpendicular line has an slope m_{\bot} = -\frac{1}{m} = -\frac{6}{8} (perpendicularity condition of two lines). With the equation of the slope of the perpendicular line and the given point (6, 8), together with the equation of the distance we can form a system of equations to find the coordinates of two points that lie on this perpendicular line.

m_{\bot}=\frac{6}{8} = \frac{8-y}{6-x}\\ 6(6-x)+8(8-y)=0  (1)

d^2 = \sqrt{(y_o-y)^2+(x_o-x)^2} \\(10)^2=\sqrt{(8-y)^2+(6-x)^2}\\100 = \sqrt{(8-y)^2+(6-x)^2}   (2)

This system has solutions in the coordinates (-2, 14) and (14, 2). Until here, we have three vertices of the square. Let's now find the fourth one in the same way we found the third one using the point (14,2). A line perpendicular to the line that joins the point (6, 8) and (14, 2) has an slope m = 8/6 based on the perpendicularity condition. Thus, we can form the system:

\frac{8}{6} =\frac{2-y}{14-x} \\8(14-x) - 6(2-y) = 0  (1)

100 = \sqrt{(14-x)^2+(2-y)^2}  (2)

with solution the coordinates (8, -6) and (20, 10). If you draw a line joining the coordinates (0, 0), (6, 8), (14, 2) and (8, -6) you will get one of the squares that fulfill the conditions of the problem. By repeating this process with the coordinates in (A), the following squares are found:

  • (0, 0), (6, 8), (14, 2), (8, -6)
  • (0, 0), (8, 6), (14, -2), (6, -8)
  • (0, 0), (-6, 8), (-14, 2), (-8, -6)
  • (0, 0), (-8, 6), (-14, -2), (-6, -8)

Now, notice that the equation of distance between the two points separated a distance of 10 has the trivial solution (\pm10, 0) and  (0, \pm10). By combining this points we get the following squares:

  • (0, 0), (10, 0), (10, 10), (0, 10)
  • (0, 0), (0, 10), (-10, 10), (-10, 0)
  • (0, 0), (-10, 0), (-10, -10), (0, -10)
  • (0, 0), (0, -10), (-10, -10), (10, 0)

See the attached second attached figure. Therefore, 8 squares can be drawn  

8 0
3 years ago
Other questions:
  • The volume of a tissue box is 288in3. If the box has a width of 6 inches and it is 4 inches high, how long is the box?
    13·1 answer
  • What is 2/5 multiplied by 5/7 multiplied by1/2
    11·1 answer
  • Help quickly please!!!
    9·1 answer
  • The function f(x) = ln(x) has a domain of all real numbers greater than zero and a range of all real numbers. The inverse of thi
    11·2 answers
  • At a football game there are 4 children for every 14 adults. If there are 1584 total people at the game, how many of them are ch
    8·1 answer
  • 0.90[2.25[4]+1.40[3]+6]
    15·1 answer
  • ASAP 30 points
    11·1 answer
  • What is 3√243 expressed in simplest radical form?
    9·1 answer
  • What’s the answer please??
    15·2 answers
  • (SAT Prep) Find the value of x.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!