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
tiny-mole [99]
1 year ago
9

ABCD is a rectangle, with M the midpoint or BC and N the midpoint of CD. If CM=4 and NC=5, what percent of the area of the recta

ngle is shaded
Mathematics
1 answer:
svp [43]1 year ago
6 0

Answer:

87.5%

Step-by-step explanation:

Given:

  • ⇒ ABCD is a rectangle, with M the midpoint of BC and N the midpoint of CD.
  • ⇒ CM = 4 and NC = 5.

Area of triangle NCM

⇒ 1/2 × base × height

⇒ 1/2 × CN × CM

⇒ 1/2 × 5 × 4

⇒ 10cm²

Length of rectangle ⇒ 10

Breadth of the rectangle ⇒ 8

↓

Area of rectangle ⇒ Length × Breadth

Area of rectangle ⇒ 10 × 8 = 80cm²

Area of shaded region ⇒ Area of rectangle  -  Area of triangle

Area of shaded region ⇒ 80 - 10 = 80cm²

Percentage of the shaded region = Shaded/complete rectangle × 100

⇒ 70/80 × 100 = 87.5

⇒ The percent of the area of the rectangle shaded is therefore 87.5%.

You might be interested in
Graph y=2/5x, use x as -2,-1,0,1,2
Natali [406]

Plot a graph of y-axis against x-axis.

The graph should be a straight line passing through:

(-2,0.8) , (-1,-0.4) , (0,0) , (1,0.4) and (2,0.8)

4 0
2 years ago
After Ricardo received his allowance for the week, he went to the mall with some friends. He spent half of his allowance on a ne
ad-work [718]
Lets work backwards, he had $5 after it all, and spent $1.25 on a snack, so we add that to the remainder, which is $6.25. then he spent half of that on whatever stuff he likes, so add $6.25 and $6.25, which is $12.50
6 0
2 years ago
Read 2 more answers
Write an equation of the line with the given slope and y intercept: m = 2, b = - 3/4​
Alex

Answer:

y = 2x - 3/4

Step-by-step explanation:

Adapt the slope-intercept form:  y = mx + b.

Making the indicated substitutions, we get

y = 2x - 3/4

4 0
3 years ago
Can y’all please help me answer these questions
mario62 [17]

Step-by-step explanation:

4.

⇒ V = \pi r^{2}h

⇒ V = \pi(10)^{2}(40)

⇒ V = 4000\pi

⇒ V = 12566.4cm^{3}

5.

⇒ V = \frac{1}{3}\pi r^{2}h

⇒ V = \frac{1}{3}\pi (8)^{2}(h)

As we know the radius and slant height, we can use Pythagoras' Theorem to find the perpendicular height.

⇒ a^{2} + b^{2} = c^{2}

⇒ (8)^{2} + h^{2} = 20^{2}

⇒ h = \sqrt{20^{2} - 8^{2}}

⇒ h = 4\sqrt{21}

Now substitute this into the volume formula.

⇒ V = \frac{1}{3}\pi (8)^{2}(4\sqrt{21})

⇒ V = \frac{256\sqrt{21} }{3}\pi

⇒ V = 1228.5mm^{3}

6.

⇒ V = l^{3}

⇒ V = (3.1)^{3}

⇒ V = 29.8inches^{3}

7.

⇒ V = \frac{1}{3}lwh

⇒ V = \frac{1}{3}(12)(4)(6)

⇒ V = 96inches^{3}

6 0
2 years ago
Read 2 more answers
Factor the expression. Use the fundamental identities to simplify, if necessary.
Rasek [7]

Answer:

see explanation

Step-by-step explanation:

Using the trigonometric identity

sin²x + cos²x = 1 ⇒ sin²x = 1 - cos²x

Given

sin²x + 7cosx + 17

=1 - cos²x + 7cosx + 17

= - cos²x + 7cosx + 18 ← factor out - 1 from each term

= - (cos²x - 7cosx - 18)

Consider the factors of the constant term (- 18) which sum to give the coefficient of the cosx term (- 7)

The factors are - 9 and + 2, thus

= - (cosx - 9)(cosx + 2) ← in factored form

3 0
2 years ago
Other questions:
  • 14. If a chicken farm sold 3,000 dozen eggs last week, how many individual eggs were sold?
    13·2 answers
  • HELPPPPPPP !!! I need the answer in less than 5 minutes!!!
    14·2 answers
  • A student says that the solution of 375=x -28 is 347. Explain the student error and find the correct answer
    8·2 answers
  • What is the difference between a hot call and a cold call?
    6·2 answers
  • An article in Medicine and Science in Sports and Exercise ["Maximal Leg-Strength Training Improves Cycling Economy in Previously
    13·1 answer
  • What is the distance between the points (−5, 10) and (−5, 2) ?
    13·2 answers
  • Which of the following is the best definition of probability?
    5·2 answers
  • 9 hours _____ minutes
    6·2 answers
  • The line x = k intersects the graph of the parabola x = -2y^2 - 3y + 5 at exactly one point. What is k? Thank you! :)
    13·1 answer
  • In a middle school classroom there are 4 boys for every 6 girls. How many
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!