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
andreyandreev [35.5K]
3 years ago
15

Sam is determining the area of a triangle. In this triangle, the value for the height is a terminating decimal, and the value fo

r the base is a repeating dscimal. What can be concluded about the area of this triangle?
Mathematics
1 answer:
andrey2020 [161]3 years ago
7 0

Answer:

See below.

Step-by-step explanation:

The value of the area will be rational and a repeating decimal.

An example may be

2.356 *  2.666.....   = 6.28266666.....

You might be interested in
Convert the following equation to cartesian coordinates. describe the resulting curve.
enyata [817]

Answer:

The rules for change of coordinates are:

r = √(x^2 + y^2)

θ = tan(y/x)

and:

x = r*cos(θ)

y = r*sin(θ)

1) Now we have the equation:

r = (9/7)*cos(θ) + 2*sin(θ)

Let's multiply both sides by r:

r^2 = r*(  (9/7)*cos(θ) + 2*sin(θ) )

r^2 = (9/7)*r*cos(θ) + 2*r*sin(θ)

Now we can replace:

r*cos(θ) by x and r*sin(θ) by y

r^2 = (9/7)*x + 2*y

And we know that:

r = √(x^2 + y^2)

then:

r^2 = x^2 + y^2

So we can replace that in our equation:

x^2 + y^2 = (9/7)*x + 2*y

This is the equation in cartesian coordinates.

2) Now we want to describe the curve.

We can rewrite this as:

[x^2  - (9/7)*x] + [ y^2 - 2*y] = 0

Now we can complete squares:

So we need to add and subtract:

(4.5/7)^2 and 1^2

[x^2  - 2*(4.5/7)*x + (4.5/7)^2 -  (4.5/7)^2] + [ y^2 - 2*y + 1 - 1]  = 0

(x - (4.5/7) )^2 + (y - 1)^2   - 1 - (4.5/7) = 0

(x - (4.5/7) )^2 + (y - 1)^2  = 1 + 4.5/7

So this is the equation of a circle, centered at:

( 4.5/7, 1) and with a radius √(1 + 4.5/7)

4 0
3 years ago
A game center has a $5 admission fee and charges $0.50 for each game played. Graph the equation on the coordinate plane. Be sure
Rufina [12.5K]

A game center has a $5 admission fee (this is the y-intercept of the equation)

It charges $0.50 for each game played (this is the slope of the equation)

The equation can be written as

y=0.50x+5

Where y is the cost and x is the number of games played.

To plot the graph, you can either find some (x, y) coordinates using the above equation.

Or you can plot it using the concept of slope and y-intercept.

Start at the point of y-intercept (0, 5)

The slope is 0.50 = 1/2

Then go 1 unit up and two units to the right that is your next point.

Repeat the same, 1 unit up and two units to the right that is your next point and so on...

Let us plot the graph

Scale: one small box = 1 unit

x-axis = number of games

y-axis = Cost ($)

4 0
1 year ago
If f(x)=√4x+9+2, which inequality can be used to find the domain of f(x)?
tatiyna
  • y=√4x+9+2
  • y=√4x+11

As it's a square root the underroot value must be greater than or equal to 0

So

let's find out the domain

  • √4x+11≥0
  • 4x+11≥0
  • 4x≥-11
  • x≥-11/4

Domain

  • [-11/4,oo)
6 0
2 years ago
Read 2 more answers
A man claims to have extrasensory perception (ESP). As a test, a fair coin is flipped 23 times, and the man is asked to predict
spin [16.1K]

The probability that he would have done at least this well if he had no ESP is 4/23.

<h3>How to illustrate the information?</h3>

Probability refers to possibility. A random event's occurrence is the subject of this area of mathematics. The range of the value is 0 to 1. Mathematics has incorporated probability to forecast the likelihood of various events.

It should be noted that from the information, the man claims to have extrasensory perception and as a test, a fair coin is flipped 23 times, and the man is asked to predict the outcome in advance and he gets 19 out of 23 correct.

Therefore, the probability that he would have done at least this well if he had no ESP will be:

= 1 - (19 / 23)

= 4/23

Therefore, the probability is 4/23.

Learn more about probability on;

brainly.com/question/25870256

#SPJ1

3 0
2 years ago
Solve ? I need your helpppppp
sasho [114]

Answer:

square = 8

triangle = 3

circle = 2

Step-by-step explanation:

triangle + triangle = 6, one triangle = 3

triangle + circle = 5, circle = 5 - 3 = 2

square + circle = 10, square = 8

4 0
3 years ago
Other questions:
  • What does the acronym IRA stand for?
    8·2 answers
  • Find the 7th term of a geometric sequence with t1 = 2 and r = 3
    6·2 answers
  • What is the solution to the equation fraction 1 over 3x = 6?
    12·2 answers
  • Find the least whole number that can replace _
    12·2 answers
  • ?the gas tank in a hybrid car can hold 12 gallons of gas. If the car can go 228 miles without having to refuel, how many miles p
    10·1 answer
  • A punch recipe says to mix 4 cups pineapple juice, 8 cups orange juice, and 12 cups seltzer in order to make 18 servings of punc
    14·1 answer
  • Find the value of m in this equation below
    14·1 answer
  • Your mother has a new cell phone. It comes with 18 applications already installed. She uses only "2" /"3" of those applications.
    13·1 answer
  • Which of the following represents an inverse variation function? A) y = 13x B) y = 3x2 C) y = x3 + 1 D) y = 3x2
    9·1 answer
  • 1. Un examen de Matemáticas ha sido aprobado por 6/9 de los estudiantes. Al resto de los estudiantes le toca repetir el examen.
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!