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
34kurt
3 years ago
9

Draw a plane, showing the three (non-linear) points that define it.​

Mathematics
1 answer:
algol [13]3 years ago
6 0

Draw a plane, showing the three (non-linear) points that define it.\boxed{\large{\bold{\blue{ANSWER~:) }}}}

See this attachment

You might be interested in
Maura is 5 years younger than her sister Cara. Seven years ago, Maura was half as old as her sister. How old is Maura now?
masha68 [24]
Let's call Maura's age now M and Cara's age now C.

We know Maura is five years younger than Cara. In symbols that is, M - 5 = C

We also know that 7 years ago Maura's age was half of Cara's. Maura's age 7 years ago was M-7 and Cara's age seven years ago was C-7. Since Maura's age (7 years ago) was half of Cara's we can write in symbols: M-7= \frac{1}{2}(C-7)

Let's take that last equation and substitute C - 5 for M (this is because according to our first equation these are equal). When we do this we get an equation with only C as the variable and solve for C as follows:

M-7= \frac{1}{2}(C-7)
C-5-7= \frac{1}{2}(C-7)
C-12= \frac{1}{2}C-( \frac{1}{2})(7)
C-12= .5C-3.5
.5C-12= -3.5
.5C= 8.5
C= 17

Cara is 17. Since Maura is 5 years younger she is 12.

As a check, seven years ago Cara was 10 and Maura was 5. It is the case that Maura was half Cara's age seven years ago.
4 0
3 years ago
A Norman window has the shape of a semicircle atop a rectangle so that the diameter of the semicircle is equal to the width of t
Makovka662 [10]

Answer:

132.233 ft2

Step-by-step explanation:

Let's call the width of the rectangle 'w' and the length 'x'. So the area of the semicircle is:

A_1 = \pi*radius^2/2

A_1 = \pi*(w/2)^2/2

A_1 = \pi/8*w^2

And the area of the rectangle is:

A_2 = w*x

If the perimeter of the window is 41 feet, we have:

Perimeter = length + 2*width + \pi*radius

41 = x + 2*w + \pi*w/2

x = 41 - w(2 + \pi/2)

Now, the equation for the total area of the window is:

A = A_1 + A_2 = \pi/8*w^2 + w*x

A = \pi/8*w^2 + w*(41 - w(2 + \pi/2))

A = (\pi/8-2 - \pi/2)*w^2 + 41w = -3.1781w^2 + 41w

To find the maximum area, we can find the x-coordinate of the vertex of the quadratic equation:

x\_vertex = -b / 2a = -41 / (-3.1781*2) = 6.45

So the width that gives us the maximum area of the window is 6.45 feet, and the area will be:

A = -3.1781w^2 + 41w = -3.1781*(6.45)^2 + 41*6.45 = 132.233\ ft^2

3 0
3 years ago
7.1 cm
SIZIF [17.4K]

Answer:

Cylinder Volume = PI * radius^2 * height

Radius = Square Root [Volume / (PI * height)]

Radius = Square Root [ 134 / (3.14 * 7.1)]

Radius = 2.45103

Radius = 2.45

Step-by-step explanation:

5 0
3 years ago
Choose the fraction that has not been reduced 10-19, 15-16,19-38,21-34
BartSMP [9]
19/38 is not reduces. Numerator and denominator can be divided by 19.
It can be reduced to 1/2
4 0
3 years ago
A nationwide census is conducted and it is found that the mean number of hours of television watched per year by Americans is 35
Ber [7]

Answer:

Probability that a group of 4 Americans watch more than 400 hours of television per year is 0.3264.

Step-by-step explanation:

We are given that a nationwide census is conducted and it is found that the mean number of hours of television watched per year by Americans is 350 with a standard deviation of 220.

A group of 4 Americans is selected.

Let \bar X = <u><em>sample mean number of hours of television watched per year</em></u>

The z score probability distribution for sample mean  is given by;

                             Z  =  \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } }  ~ N(0,1)

where, \mu = population mean = 350

            \sigma = standard deviation = 220

            n = sample of Americans = 4

Now, the probability that a group of 4 Americans watch more than 400 hours of television per year is given by = P(\bar X > 400 hours)

     

     P(\bar X > 400) = P( \frac{\bar X-\mu}{\frac{\sigma}{\sqrt{n} } } > \frac{400-350}{\frac{220}{\sqrt{4} } } ) = P(Z > 0.45) = 1 - P(Z \leq 0.45)

                                                        = 1 - 0.6736 = <u>0.3264</u>

The above probability is calculated by looking at the value of x = 0.45 in the z table which has an area of 0.6736.

Hence, the probability that a group of 4 Americans watch more than 400 hours of television per year is 0.3264.

6 0
3 years ago
Other questions:
  • Which ratios can form a proportion?
    9·2 answers
  • What is the exact volume of the cylinder (radius 13 in., height 30 in.)
    12·1 answer
  • Explain how you you can tell 4/9 is in the simplest form
    15·2 answers
  • An item on sale costs 60% of the original price was $87. Find the sale price
    9·1 answer
  • If he harvested 18 tons of corn how many tons did he take to market?
    14·1 answer
  • Jorge is 12 years older than Sam. If 4 years ago, Sam was twice Jorge's age, how old is Sam now?
    9·1 answer
  • A water tower is in a shape of a cone. the tower is 30 ft. tall and 20 ft in diameter. what is the approximate maximum volume of
    15·2 answers
  • Anyone know this????
    5·1 answer
  • Which has a finite size?
    5·2 answers
  • Students conducted the following experiment 24 times. They drew one card from a box with some red cards and some black cards, pu
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!