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
kozerog [31]
3 years ago
10

I do not understand question 6

Mathematics
1 answer:
Leokris [45]3 years ago
8 0

9514 1404 393

Answer:

  28

Step-by-step explanation:

The diagonals of the parallelogram are AC and BD. The way the diagram is drawn, BD is the long diagonal, said to be 24 inches. AC is the short diagonal, said to be 12 inches.

Since AC bisects BD at point E, point E is the midpoint of BD. That means BE = (24 inches)/2 = 12 inches.

Since BD bisects AC at point E, point E is the midpoint of AC. That means EC = (12 inches)/2 = 6 inches.

__

Now, we know the lengths of the sides of ΔBEC, so we can find its perimeter. The perimeter of any geometry is the sum of the lengths of its sides.

  perimeter ΔBEC = CB +BE +EC

  perimeter ΔBEC = 10 in + 12 in + 6 in = 28 in

The perimeter of triangle BEC is 28 inches.

You might be interested in
The material used to make a storage box costs $1.25 per square foot. The boxes have the same volume, so how much does a company
riadik2000 [5.3K]

Answer: A company saves $134.38 by choosing to make 50 of Box 2 instead of Box 1

Step-by-step explanation:

Hi, to answer this question we have to calculate the surface area of both boxes.

<em>Surface area (A) = 2wl + 2lh + 2hw, </em>

Where w is width, l is length , and h is height.

  • Box 1 = A = 2(6x20) + 2( 20x4) + 2 (4 x 6) =2 (120)+ 2 (80)+ 2(24) =448 in2
  • Box 2 = A = 2 (4x15)+ 2(15x8)+ 2(8x4) = 2(60)+2(120)+2(32)=424 in2

Since 1 inch = 0.0833333 foot

  • Box 1 = 448 in2 x 0,0833333 =37.34 ft2
  • Box 2= 424 in2 x 0,0833333 =35.19 ft2

Since the material used to make a storage box costs $1.25 per square foot.

  • Box 1 =37.34 ft2 x1.25 = $ 46.675
  • Box 2= 35.19 ft2 x 1.25 =$43.98

Since 50 of each are made:

  • Box 1 = $ 46.675 x50 =2,333.750
  • Box 2= $43.98 x50 =2,199.37

Subtracting both costs:

2,333.750(1) - 2,199.37(2) = $134.38

6 0
2 years ago
Fill in the missing number to make the sentence true ?/6 &lt; 1/2
Ira Lisetskai [31]

Answer:

1 or 2

Step-by-step explanation:

1/6 < 1/2 (because 1/2 = 3/6 and 1/6 < 3/6)

2/6 < 1/2 (because 2/6 = 1/3 and if we convert these numbers to decimals, then 0.33 [2/6] < 0.5 [1/2])

8 0
3 years ago
A music store is receiving a shipment of Ipads. Each box comes with 12 white, 12 black and 24 grey
Mars2501 [29]

Answer:

<u>142 Grey, 83 white, 76 black</u>

Step-by-step explanation:

If you were to take 5 boxes and put 24,12,12 in each, then multiply each number by 5 you wpuld get 120 Grey, 60 white and 76 black. Then you would add what they already have 120 Grey + 22 Grey is 142 grey, 60 white + 23 white is 83 white, and 60 black + 16 black is 76 black.

3 0
3 years ago
From the side of a hill wai-kin looks up at the top of a nearby vertical cliff at an angle of elevation of 36 degrees and looks
oksano4ka [1.4K]

Answer:

881.5 meters.

Step-by-step explanation:

The horizontal plane at the level of wai-kin's eyes divide the height of the cliff into two parts. Let the upper part be represented by x and the lower part be represented by y.

The height of the cliff = x + y

Applying the appropriate trigonometry functions.

To determine the value of x;

Tan θ = \frac{opposite}{adjacent}

Tan 36^{o} = \frac{x}{490}

⇒ x = 490 x Tan 36^{o}

      = 490 x 0.7265

     = 355.985

x = 356 meters

To determine the value of y;

Tan θ = \frac{opposite}{adjacent}

Tan 47^{o} = \frac{y}{490}

⇒ y = 490 x Tan 47^{o}

      = 490 x 1.0724

      = 525.476

y = 525.5 meters

Therefore,

The height of the cliff = x + y

                                   = 355.985 + 525.476

                                   = 881.461

The height of the cliff is 881.5 meters.

3 0
3 years ago
Let f(x) = 5x – 3 and g(x) = 2x². Perform the function operation and then find the domain of the result.
MAXImum [283]

Answer:

(f+g)x= 2x²+5x-3

The domain x∈ Real number.

Step-by-step explanation:

Given that f(x) = 5x - 3 and g(x) = 2x²

(f+g)x = f(x) + g(x)

So, by using the given function

(f+g)x= (5x-3) + (2x²)= 2x²+5x-3

As the result, 2x²+5x-3, is a polynomial, so domain of the result is all the real numbers.

7 0
3 years ago
Other questions:
  • What’s the answer to this question ?
    15·1 answer
  • What is the exponential function graphed in the figure?
    5·1 answer
  • 4^x-3=6 please help
    11·1 answer
  • The expression 4h-3 factored
    8·2 answers
  • Subtract.
    6·2 answers
  • What is the length of a side of a cube with volume 729 cm3?
    14·1 answer
  • STOP!
    8·1 answer
  • The number of dimes in the bag can be represented by x. The number of quarters is 6 more than twice the number of dimes. There a
    7·1 answer
  • A bag contains a total of 100 black and white marbles. Without looking a marble is chosen, recorded, and placed back in the bag.
    10·1 answer
  • Simplify 9(8x - 9) + 13x
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!