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
kotykmax [81]
3 years ago
10

A Rectangle is removed from a right triangle to create the shaded region below. Find the area of the shaded region be sure to in

clude the correct unit in your answer

Mathematics
1 answer:
Scorpion4ik [409]3 years ago
7 0

The given shapes area is found to be 4 square yards.

Step-by-step explanation:

Step 1; To determine the area of an indefinite shape we must divide it into the shapes that we know. The shape that is given can be split into a triangle with a rectangle in it.

Step 2; Any given triangles area is half the multiplication of its base value and its height value. In the given diagram, the base of the triangle measures a length of 5 yards and the length from base to top is 4 yards

Area of the triangle = \frac{1}{2} * base * height = \frac{1}{2} * 5 * 4 = 10 square yards.

The given rectangle measures a length of 3 yards and a width of 2 yards. The area of any given rectangle is the multiplication of its length and width.

Area of the rectangle = Length * Width = 3 yards * 2 yards = 6 square yards.

Step 3; To find the total area of the shape we must subtract the the rectangle's area from the triangle's area.

Area of given shape = Area of the triangle - Area of the rectangle.

Area of given shape = 10 square yards - 6 square yards = 4 square yards.

You might be interested in
A tank has capacity 6 L and initially contains 11 mg of salt dissolved in 3 L of water. A solution containing 1 mg/L of salt ent
BlackZzzverrR [31]

Answer:

The answer is below

Step-by-step explanation:

a) The maximum capacity of he tank is 6 L and initially it contains 11 mg of salt dissolved in 3 L of water. Solution enters the tank at a rate of 3 L/hr, therefore in x hours, the amount of water that have entered the tank = 3x.

Solution also leaves the tank at a rate of 2L/hr, therefore in x hours, the amount of water that have left the tank = 2x

Hence the amount of water present in the tank at x hours is given as:

3 + 3x - 2x = 3 + x

The time taken to full the tank can be gotten from:

3 + x = 6

x = 6 - 3

x = 3 hr

b)

\frac{dQ}{dx}=3-\frac{2Q}{3+x}\\  \\\frac{dQ}{dx}+\frac{2Q}{3+x}=3\\\\let\ u'=\frac{2u}{3+x}\\\\\frac{u'}{u}=\frac{2Q}{3+x}\\\\ln(u)=2ln(3+x)\\\\u=(3+x)^2\\\\(3+x)^2Q]'=3(3+x)^2\\\\(3+x)^2Q=(3+x)^3+c\\\\Q(0)=11\\\\(3+0)^2(11)=(3+0)^3+c\\\\x=72\\\\Q=x+3+\frac{72}{(x+3)^2}\\ \\Q(3)=3+3+\frac{72}{(3+3)^2}=8\ mg

8 mg/ 6 L = 4/3 mg/L

8 0
3 years ago
What is the ratio of the width of the yard to the area of the yard in 10 feet long by 7 feet wide
dezoksy [38]

Area = (length) x (width)

Area = (10-ft) x (7-ft) = 70 ft²

(Width) / (Area) = (7-ft) / (70 ft²)  =  1 / 10-ft .
4 0
3 years ago
For a group of 100 people, compute(a) the expected number of days of the year that are birthdays of exactly 3 people.(b) the exp
Scilla [17]

Answer:

Step-by-step explanation:

Leaving leap years, a year contains 365 days.

For a group of 100 people, each person is independent of the other and probability of any day being his birthday has a chance of

\frac{1}{365}

a) Probability that  exactly 3 people have same birthday = \frac{1}{365^3}

Each day is independent of the other

And hence no of days having exactly 3 persons birthday out of 100 persons is binomial with n = 365 and p = \frac{1}{365^3}

Expected value of days = np = \frac{1}{365^2}

b) Distinct birthdays is binomail with p =1/365 and n = 365

Hence

expected value = np =1

4 0
3 years ago
SOMEONE PLEASE HELP MEEEE
AURORKA [14]

Answer:

-180^{\circ}

Step-by-step explanation:

Lines form 180 degrees on either side. The negative sign simply implies direction (clockwise instead of counter-clockwise), which is negligible as 180 is exactly half of 360 so you'd form the same line.

8 0
3 years ago
Read 2 more answers
What value of c makes the polynomial below a perfect square? 4x2 + 12x + c?
Tema [17]
This is what we know:4x^2 + 12x + c = (2x + k)^2
<span> 4x^2 + 12x + c = 4x^2 + 2kx + 2kx + k^2 
c=9
</span>
6 0
3 years ago
Read 2 more answers
Other questions:
  • 3 3/7*-1/4
    7·1 answer
  • What is the percent of increase from 30 to 51??
    10·1 answer
  • You purchased a share of stock for $30. one year later you received $1.50 as a dividend and sold the share for $32.25. what was
    13·1 answer
  • 2. Here is triangle ABC.
    7·1 answer
  • Can someone help me please?
    13·1 answer
  • What type of system is the following set of equations?
    7·1 answer
  • Which expression is equal to (3m)^2/5
    15·1 answer
  • Jonathan's weight is the difference of Harold's weight and twice the weight of Beth. wrote an equation​
    8·1 answer
  • Using only the information derived in questions 2,3, and 4 which theorem or postulate can be used to prove abe=cde?
    8·2 answers
  • Skills Practice: convert the following fractions into decimals. You must show your
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!