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
Studentka2010 [4]
3 years ago
15

In the rectangle ABDF above, C and E are midpoints of sides line ED and line DF, respectively, what fraction of the areas of the

rectangle is shaded?

Mathematics
1 answer:
aivan3 [116]3 years ago
8 0

Answer:

Is shaded 5/8 of the area of the rectangle

Step-by-step explanation:

see the attached figure to better understand the problem

we know that

The area of triangle ABC represent 1/4 of the total area

The area of triangle CDE represent 1/8 of the total area

The shaded region is composed by one triangle equal to triangle ABC and three triangles equal to triangle CDE

so

The area of the shaded region is equal to

(1/4)(1)+(1/8)(3)=(1/4)+(3/8)=(2/8)+(3/8)=5/8

therefore

Is shaded 5/8 of the area of the rectangle

You might be interested in
Amy launched a ball into the air. The height of the ball can be represented by the equation h = -16t^2 + 96t + 112, where h is t
Sidana [21]

Answer:

Vertex is (3, 256)

Step-by-step explanation:

The vertex means that at 3 seconds, the highest point the ball will reach is 256 units in the air.

3 0
3 years ago
In a class, every student knows French or German (or both). 15 students know French, and 17 students know German.
vazorg [7]
If you apply the or both
Only 1 of the students would need to know the "or both", therefore maximizing the remaining amount of students you can put in.

Gerald, let's call him, knows French AND German, so there's only one less student that knows french and german. Gerald is 1 student.

MAXIMUM:
There are now 14 monolinguistic French speakers and 16 monolinguistic German's, 30 students + Gerald=31.

Minimum:
As a bonus, the minimum is 15 students knowing french AND German and only 2 monolinguistic German speakers, so 17.
8 0
3 years ago
Read 2 more answers
Solve by unfolding: a0=2, and, n>=1, a_n=7a_n-1.
vodomira [7]
We are told that the first term is 2.  The next term is 7(2) = 14; the third term is 7(14) = 98.  And so on.  So, the first term and the common ratio (7) are known.

The nth term of this geometric series is a_n = 2(7)^(n-1).

Check:  What is the first term?  We expect it is 2.  2(7)^(1-1) = 2(1) = 2.  Correct.

What is the third term?  We expect it is 98.  2(7)^(3-1) = 2(7)^2 = 98.  Right.<span />
6 0
3 years ago
What is the least common denominator of<br> 1/3 and 5/9
crimeas [40]

Answer:

<h2>LCD = 9</h2>

Equivalent Fractions with the LCD

1/3 = 3/9

5/9 = 5/9

Solution:

Rewriting input as fractions if necessary:

1/3, 5/9

For the denominators (3, 9) the least common multiple (LCM) is 9.

LCM(3, 9)

Therefore, the least common denominator (LCD) is 9.

Calculations to rewrite the original inputs as equivalent fractions with the LCD:

1/3 = 1/3 × 3/3 = 3/9

5/9 = 5/9 × 1/1 = 5/9

4 0
3 years ago
Someone plz help me
sleet_krkn [62]

Answer:

1. A

2. D

3.B

4.D

5. C

Step-by-step explanation:

4 0
3 years ago
Read 2 more answers
Other questions:
  • On Carrie’s map, Greenville and North Valley are 4.5 inches apart. The scale on her map is 1 inch = 20 miles. How far is Greenvi
    6·1 answer
  • I don’t know whether I should shade above or below the line. PLEASE HELP I HAVE A TEST TOMORROW
    12·2 answers
  • Rectangle A has length 12 and width 8. Rectangle B has length 15 and width 10. Rectangle C has length 30 and width 15.
    11·1 answer
  • The radius of the earth is approximately 3950 miles. The radius of Jupiter is approximately 44400 miles. Since the radius of Jup
    15·2 answers
  • On another pan balance, Carlo places 3 of the apple slices and 4 of the orange slices on the left side. He places 1 apple slice
    10·1 answer
  • Find the value of x in each case
    5·1 answer
  • Greatest common factor of 24, 36, and 50
    5·2 answers
  • Please answer fast ASAP I give brainliest
    5·1 answer
  • PLEASE HELP ME (I'LL GIVE BRAINIEST)
    10·2 answers
  • You have $5600. The best interest rate you can find is 3%
    7·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!