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
Sergio039 [100]
3 years ago
14

This rectangular prism is intersected by a plane that contains points B, D, H, and F.

Mathematics
1 answer:
tankabanditka [31]3 years ago
7 0

Answer:

The perimeter of the cross section is 33.3 cm

Step-by-step explanation:

Given: A rectangular prism with height 6 centimeters, length 8 centimeters, and width 7 centimeters. The rectangular prism is intersected by a plane that contains points B, D, H, and F.

We have to determine the perimeter of the cross section.

Since, The plane is drawn diagonally such that it intersect the points  B, D, H, and F.(as shown in figure below)

Perimeter of a figure is the sum of its outer boundaries.

We first find the length of diagonal HF.

Since, HGFE , is a rectangle

So, Diagonal of rectangle is given by

D=\sqrt{Length^2+breadth^2}

Here, Length = 8 cm

and breadth = 7 cm

So, D=\sqrt{8^2+7^2}=\sqrt{64+49}\approx 10.63

Thus, HF = DB = 10.63 cm

Therefore, Perimeter of cross section is DB + BF +FH + DH

= 10.63 + 6 + 6 + 10.63 = 33.26

Thus, the perimeter of the cross section is 33.3 cm

           

You might be interested in
I need the answers is really hard i have to solve each system of equation by graphing 5-13
mojhsa [17]
All you need to do is plot the point they meet at
6 0
3 years ago
en el año 5 antes de Cristo, un chico cumplió 13 años.¿en qué año nació?, ¿en qué año nació su madre si lo tuvo con 22 años?
ki77a [65]

Answer:

El chico nació en el año 18 antes de cristo.

La madre nació en el año 40.

Step-by-step explanation:

Las respuestas son fáciles:

- Si en el año 5, el hijo tiene 13 años, hagamos que a partir del año 0 después de cristo sea positivo.

-13-(-5) = -18

- Madre:

-18-22 = -40

Entonces, su edad debería ser negativa, simplemente cambiamos el símbolo y lo pasamos a positivo.

7 0
3 years ago
Need help asap pls :)
pogonyaev

Answer:

See explanation below.

Step-by-step explanation:

First I'm going to find angle 2. Angle two plus 55 is equal to 115. 180-115=65. 65-55=10 Angle 2 = 10

Next, we can find angle 3. 55+10=65. 180-65=115. Angle 3 = 115

Angle 2 is equal to angle 5, angle 3 is equal to angle 6, and angle 4 is equal to 55.

Angle 5 = 10

Angle 4 = 55

Angle 6 = 115

Now we can find angle 8. 180-115=65. Angle 8 = 65

Angle 11 = 65

Angle 12 = 115

10+115=125 Angle 10 = 125

180-125 = 55 Angle 9 = 55

Angle 14 = 55

Angle 13 = 125

7 0
3 years ago
Read 2 more answers
A clinical trial was conducted to test the effectiveness of the drug zopiclone for treating insomnia in older subjects. Before t
aleksklad [387]

Answer:

We cannot say that the mean wake time are different before and after the treatment, with 98% certainty. So the zopiclone doesn't appear to be effective.

Step-by-step explanation:

The goal of this analysis is to determine if the mean wake time before the treatment is statistically significant. The question informed us the mean wake time before and after the treatment, the number of subjects and the standard deviation of the sample after treatment. So using the formula, we can calculate the confidence interval as following:

IC[\mu ; 98\%] = \overline{y} \pm t_{0.99,n-1}\sqrt{\frac{Var(y)}{n}}

Knowing that t_{0.99,15} = 2.602:

IC[\mu ; 98\%] = 98.9 \pm 2.602\frac{42.3}{4} \Rightarrow 98.9 \pm 27.516

IC[\mu ; 98\%] = [71.387 ; 126,416]

Note that 102.8 \in [71.384 ; 126.416] so we cannot say, with 98% confidence, that the mean wake time before treatment is different than the mean wake time after treatment. So the zopiclone doesn't appear to be effective.

7 0
3 years ago
Which number produces a rational number when multiplied by 0.5?
irakobra [83]
6 because it makes 3
8 0
3 years ago
Other questions:
  • The wall of a room are representations of what basic element of geometry
    12·1 answer
  • A basket of fruit contains 4 bananas, 3 apples, and 5 oranges. You intend to draw a piece of fruit from the basket, keep it, dra
    12·1 answer
  • A set of equations is given below:
    15·1 answer
  • Plz help out ASAP!:) TYSM
    14·1 answer
  • It costs a band $ 8 per T-shirt produced. At a small festival the band gives away 10 T-shirts, and sells others for $ 20 each. T
    14·1 answer
  • Positional number system where the value of a digit is determined by its location
    6·1 answer
  • You just won the lottery! as your prize you will receive $1,200 a month for 100 months (paid at the end of each month). if you c
    5·1 answer
  • Solve the inequality. Graph the solution. 0 < −12t
    11·1 answer
  • Use inverse operations to solve: x + 3.2 = 7
    15·1 answer
  • PLEASE HELP!! these triangles are not drawn to scale. Use the Pythagorean Theorem to determine which triangle is a right triangl
    8·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!