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
inna [77]
3 years ago
10

A glasshouse is in the shape of a square pyramid. Calculate the area of the four triangle faces to be nearest square metre if th

e side of the square is 20m and the height of the pyramid is 17m.
Pls show full working out.
Mathematics
1 answer:
Eduardwww [97]3 years ago
7 0

Answer:

  789 m²

Step-by-step explanation:

Consider the cross section created by a vertical plane through the apex of the pyramid and bisecting opposite sides. The cross section is an isosceles triangle with base 20 m and height 17 m. One side of this triangle is the slant height of the face of the pyramid.

The side of the triangle above can be found using the Pythagorean theorem. A median from the apex of the triangle will divide it into two right triangles, each with a base of 10 m and a height of 17 m. Then the hypotenuse is ...

  s² = (10 m)² +(17 m)² = 389 m²

  s = √389 m ≈ 19.723 m . . . . . slant height of one triangular face

__

The area of one triangular face is ...

  A = (1/2)sb

where s is the slant height above, and b is the 20 m base of the face of the pyramid. There are 4 of these faces, so the total area is ...

  total lateral area = 4A = 4(1/2)sb = 2sb = 2(19.723 m)(20 m)

  total lateral area ≈ 789 m²

You might be interested in
The probability that it'll rain tomorrow in Ohio is 30%
VLD [36.1K]
It raining in Alaska and raining in Ohio are independent events. One does not control the other or affect the other in any way.

For two independent events (let's call them A and B), the Probability of A and B both occurring is given by P(A and B) = P(B) x P(B).

For this problem, let A = rain in Ohio and B= rain in Alaska.

P(A and B) = P(A) x P(B)
\frac{12}{100} =(P(A))( \frac{3}{10} )

( \frac{12}{100}) ( \frac{100}{30} )=P(A)
P(A)= \frac{12}{30}= \frac{2}{5}
8 0
3 years ago
PLS anwser this simple question
MakcuM [25]

Answer:

It's A) 2b+24x

Step-by-step explanation:

5 0
3 years ago
I need help with this question The orange and blue lines represent different linear functions. Write the color of the line that
pychu [463]

Answer:

blue

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
HELP HURRY <br> Find the distance from A to C.<br><br> 12<br><br> 74<br><br> 6
Rainbow [258]

Answer:

It's B :)

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
A pill has the shape of a cylinder with a hemisphere at each end. The height of the cylindrical portion is 12mm and the overall
Volgvan

Answer:

The volume of the pill is V=452\ mm^{3}

Step-by-step explanation:

Find the volume of the pill in cubic millimeters

we know that

The volume of the pill is equal to the volume of the cylinder plus the volume of a sphere (two hemisphere is equal to one sphere)

so

we have

V=\frac{4}{3}\pi r^{3}+\pi r^{2}h

r= (18-12)/2=3\ mm\\ h=12\ mm

assume

\pi =3.14

substitute

V=\frac{4}{3}(3.14)(3)^{3}+(3.14)(3)^{2}(12)\\V=452\ mm^{3}

8 0
3 years ago
Other questions:
  • Express the following in scientific notation: 0.0000079
    11·2 answers
  • Solve for x, given the equation Square root of x-5+7=11
    9·1 answer
  • Trigonometric area formula: Area = The area of triangle EFG is 34.4 square units. What is the perimeter of triangle EFG to the n
    7·2 answers
  • Which two numbers add up to 6___ and multiply to __6_?can you help me with all of these?1. multiply to -18 add to -172. multiply
    7·2 answers
  • Find the values of x and y<br> - PLEASEEE HELP
    9·1 answer
  • What postulate or theorem proves the two triangles are similar?
    5·1 answer
  • Quadrilateral IJKL is similar to quadrilateral MNOP. Find the measure of side NO. Round your answer to the nearest tenth.
    14·2 answers
  • Kate wants to buy a new bicycle from a sporting goods store. The bicycle she wants normally sells for $490. The store has a sale
    15·1 answer
  • What number is grater than 1 but less than 7
    9·1 answer
  • Hi please help!!! i’ll give you a brainless answer (question in picture)
    5·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!