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
enyata [817]
3 years ago
6

Two sides of a square are divided into fourths and another side of the square is trisected, as shown. A triangle is formed by co

nnecting three of these points, as shown. What is the ratio of the area of the shaded triangle to the area of the square? Express your answer as a fraction.

Mathematics
2 answers:
ArbitrLikvidat [17]3 years ago
6 0
<h3>Answer:  3/8</h3>

==========================================================

Explanation:

Let's say this is a 1 by 1 square. The area is 1*1 = 1 square unit. Whatever the area of the triangle is, we divide it over 1 and it will yield the same value as the area of the triangle. In other words, the area of the triangle will be the answer.

Along the top we have 3 ticks to indicate the top segment has been cut into 3+1 = 4 equal parts. The horizontal distance from the the vertical side of the triangle to the peak of the triangle is 3/4 units. This is because we travel 3 ticks out of 4 total. So this is the height when we consider the vertical segment of the triangle to be the base.

The base is 1 unit as it spans the original square's side length

base = 1

height = 3/4

area of triangle = (1/2)*(base*height)

area of triangle = (1/2)*(1*3/4)

area of triangle = 3/8

ratio of triangle area to square area = (triangle area)/(square area)

ratio of triangle area to square area = (3/8)/1

<h3>ratio of triangle area to square area = 3/8</h3>
MissTica3 years ago
6 0

Answer:

3/8

Step-by-step explanation:

let side of square=x

Area of a square =x^2

height of a triangle= 3x/4  ( 4/4=1/4) since height is only 3x/4 from the square)

( base =x same side as a square)

Area of a triangle=1/2 bh=1/2(x*3x/4)= 3x^2/8

the ratio of shaded triangle to the area= (3x^2/8)/x^2=3x^2/8x^2=3/8

You might be interested in
What is the equation of the points (-3,2) (2,-1) in standard form? 
Evgen [1.6K]
You can just plug in one of the points to each equation until you get an equality that is true.

I chose to use (-3,2)

1. 5x+3y=1
5(-3)+3(2)=1
(-15)+ 6 = 1
(-9) = 1 <<<(FALSE)

2. x+5y=3
(-3)+5(2)= 3
(-3)+10= 3
7=3 <<<(FALSE)

3. 3x+5y=1
3(-3) + 5(2)= 1
(-9)+10=1
1=1<<<(TRUE)

So, the correct equation is 3x+5y=1.

Make sense?
3 0
3 years ago
Sixty percent means the same as _______.
ycow [4]
60% - 3/5
Hope this help, don't really know what your expecting the answer to be

3 0
2 years ago
As you can see I keep getting questions wrong.... Can you answer the last question?
aivan3 [116]

Answer:

  y = 0

Step-by-step explanation:

It is always a good idea to look at the question and make some observations about it. Here, you might observe ...

  • all of the bases are powers of 3: 243 = 3^5; 9 = 3^2
  • y is a factor of every exponent

The latter observation is important, because it means that when y=0, every exponential expression has a value of 1. Hence y = 0 is a solution.

__

To solve the equation, you can write it in terms of powers of 3.

  (3^5)^(-y) = (3^-5)^(3y)·(3^2)^(-2y)

  3^(-5y) = 3^(-15y)·3^(-4y)

  3^(-5y) = 3^(-19y)

  -5y = -19y . . . . . . . . equating exponents; equivalent to taking log base 3

  14y = 0 . . . . . . . . . . add 19y

  y = 0 . . . . . . . . . . . one solution

______

The rules of exponents we used are ...

  (a^b)(a^c) = a^(b+c)

  (a^b)^c = a^(bc)

  1/a^b = a^-b

4 0
3 years ago
8.33 Suppose Paul receives a 6% raise every year. After four such raises, what is the total percentage increase to the nearest w
Oksana_A [137]

Answer:

Given:

Suppose Paul receives a 6% raise every year.

To find:

After four such raises, the total percentage increase to the nearest whole percent.

The formula used to calculate percentage is: (value/total value)*100%.

Step-by-step explanation:

Step 1 of 1

Assume his salary is originally  100 dollars.

Then, in the next year, he would have 106 dollars, and in the next, he would have 112.36 dollars.

The next year he would have 119.1016 dollars and in the final year, he would have 126.247.

As the total increase is,

((126.247 -100)/100) *100

= 26.247%

the answer is 26%.

4 0
1 year ago
Read 2 more answers
(1) An insurance agency sells various types of insurance policies. 40% of their clients buy auto insurance policies, 30% of thei
yaroslaw [1]

Answer:

55% or 0.55(as a decimal)

Step-by-step explanation:

40% of their clients buy auto insurance policies = P(A)

30% of their clients buy home insurance policies = P(H)

15% of their clients buy both home and auto insurance policies = P( A ∩ H)

The probability a randomly selected client buys a home or auto insurance policy = P (A ∪ H) is calculated as

P ( A ∪ H) = P(A ) + P ( H ) - P( A ∩ H)

= 40% + 30% - 15 %

= 70% - 15%

= 55%

Therefore, the probability that a randomly selected client buys a home or auto insurance policy is 55% or expressed as decimal = 0.55

6 0
3 years ago
Other questions:
  • What are the solutions to the nonlinear system of equations below? Check all that apply.
    11·1 answer
  • The perimeter of the isosceles triangle to the right is 35 inches. what is the value of x
    11·1 answer
  • A box of 42 jelly beans contains 9 orange jelly beans. What is the probability that a randomly selected jelly bean will be orang
    13·1 answer
  • The first 3 figures in a pattern are shown.
    9·1 answer
  • For each equation, decide if it is always true or never true. I WILL GIVE BRAINLESS AND 20 POINTS!
    6·2 answers
  • Julie and Mona know that that Earth’s average distance from the Sun is approximately 93 million miles and it takes 1 year to com
    13·1 answer
  • 2. 10 caiete costă 20 lei. Câţi lei costă 7 caiete de acelaşi fel?
    13·1 answer
  • In the given figure, AB ∥ CD. If the complement of ∠5 equals the supplement of ∠4, find the measures of ∠4 and ∠5.​
    6·1 answer
  • What are 2 tv shows i can watch on hbo max for a 12 yr old #verymature​
    10·2 answers
  • 6 high school seniors choose from among 20 quotes for their yearbook. What is the probability that at least 2 of them choose the
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!