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
Rasek [7]
3 years ago
15

A building has the shape of a pyramid within a square base. The mid segment parallel to the ground of each triangular face of th

e pyramid has a length of 58 feet. Find the length of the base the pyramid.

Mathematics
1 answer:
babymother [125]3 years ago
4 0

Answer:

The length of the base the pyramid is 116 feet.

Step-by-step explanation:

See the diagram attached to this answer.

Let Δ OAB is the side triangle of the square pyramid, and A'B' is the mid segment parallel to the ground with length of 58 feet.

Now, Δ OAB and Δ OA'B' are similar triangle and the length of sides of the triangle Δ OA'B' are in the same ratio with the corresponding sides of Δ OAB.

Hence, \frac{OA'}{OA} = \frac{OB'}{OB} = \frac{A'B'}{AB} = \frac{1}{2}

⇒ AB = 2 × 58 = 116 feet.

The length of the base the pyramid is 116 feet. (Answer)  

You might be interested in
Solve the triangle given that a=19 b=16, c=11.
kirill [66]

Answer:

The angles of the triangle are approximately 87.395º, 57.271º and 35.334º.

Step-by-step explanation:

From statement we know all sides of the triangle (a, b, c), but all angles are unknown (A, B, C). (Please notice that angles with upper case letters represent the angle opposite to the side with the same letter but in lower case) From Geometry it is given that sum of internal angles of triangles equal 180º, we can obtain the missing information by using Law of Cosine twice and this property mentioned above.

If we know that a = 19, b = 16 and c = 11, then the missing angles are, respectively:

Angle A

a^{2} = b^{2}+c^{2}-2\cdot b\cdot c \cdot \cos A (1)

A = \cos^{-1}\left(\frac{b^{2}+c^{2}-a^{2}}{2\cdot b\cdot c} \right)

A = \cos^{-1}\left[\frac{16^{2}+11^{2}-19^{2}}{2\cdot (16)\cdot (11)} \right]

A \approx 87.395^{\circ}

Angle B

b^{2} = a^{2}+c^{2}-2\cdot a\cdot c \cdot \cos B (2)

B = \cos^{-1}\left(\frac{a^{2}+c^{2}-b^{2}}{2\cdot a\cdot c} \right)

B = \cos^{-1}\left[\frac{19^{2}+11^{2}-16^{2}}{2\cdot (19)\cdot (11)} \right]

B\approx 57.271^{\circ}

Angle C

C = 180^{\circ}-A-B

C = 180^{\circ}-87.395^{\circ}-57.271^{\circ}

C = 35.334^{\circ}

The angles of the triangle are approximately 87.395º, 57.271º and 35.334º.

8 0
3 years ago
Solve the inequality -3x+1 &lt;7?<br> x &gt; -2<br> x &lt; -2<br> x &gt; 2 <br> Pls help meeeee
GarryVolchara [31]

Answer:

x<-2 ^;;:%%^^^::"%%^::::%^&&;::%^^^;::^^^&;;:%^_

8 0
3 years ago
What is -3(-x+2y-5z)​
melisa1 [442]

Answer:

3x-6y+15z

Step-by-step explanation:

6 0
3 years ago
A local maximum of the function f(x) occurs for which x-value?
Ahat [919]

Answer:

number one is corrected basses hock\why hello are to you girt him

Step-by-step explanation:

helloed are THU the most of them are you

4 0
3 years ago
Read 2 more answers
How many inches tall is a 7 foot basket ball player
andrey2020 [161]
7 inches obviously thanks for the points
6 0
3 years ago
Read 2 more answers
Other questions:
  • The Sum Of Two Numbers Is 50 And The Difference Is 18. What Are The Numbers?
    10·1 answer
  • Help, this is a trick question!
    14·2 answers
  • Estimate the circumference of a circle that has a radius of 11 m.
    6·1 answer
  • The angle bisector of ∠ACD in rhombus ABCD makes a 64° angle with the diagonal
    9·1 answer
  • tanmayi wants to raise 175$ for a school fundraiser. she has raised 120$ so far how much more does she need to reach her goal?
    6·1 answer
  • Steven wants to keep track of how many miles he walks in a year. He expects to walk 5 miles per day, and he has
    9·1 answer
  • What is s squared +2x-35 factor
    12·2 answers
  • What is the arc measure for(BC)
    12·2 answers
  • Musa expects to make about $400 next month working at his dad’s booth. He will also get a $200 check for his birthday. What is h
    5·1 answer
  • Lua has a red ribbon that is 2 1/12 inches long she has a blue ribbon that is 4 times as many inches long. how many inches long
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!