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
Akimi4 [234]
3 years ago
5

An 8-sided die is formed when two square pyramids are attached by their bases. The perimeter of the base shape is 6 centimeters.

The distance between the tallest points of the two pyramids is 2 centimeters. What is the surface area of the 8-sided figure?
Mathematics
2 answers:
Leona [35]3 years ago
5 0
Consider one pyramid
Side length of base = 1.5cm and its height is 1 cm
Slant height of one of the lateral faces =  sqrt(1^2 + 0.75^2) =  1.25 cm
Area of one of the triangular faces = 0.5 * 1.5* 1.25 =  0.9375 cm^2

There are 8  of these so the required surface area = 8 * 0.9375 
=  7.5 cm^2 Answer

My name is Ann [436]3 years ago
4 0

Answer:

<em>The surface area of the 8-sided figure is 7.5 cm²</em>

Step-by-step explanation:

The perimeter of the base of each square pyramid is 6 centimeters.

So, <u>each side length of the base</u>  =\frac{6}{4}= 1.5\ cm.

Two pyramids are attached by their bases and the distance between the tallest points of the two pyramids is 2 centimeters.

So, <u>the height of each pyramid</u> = 1 centimeter.

Now, <u>lateral surface area of each pyramid</u>

=2a\sqrt{\frac{a^2}{4}+h^2}

=2(1.5)\sqrt{\frac{(1.5)^2}{4}+(1)^2}\\ \\ =3\sqrt{\frac{2.25}{4}+1}\\ \\ =3\sqrt{1.5625}\\ \\ =3(1.25)=3.75\ cm^2

So, the <u>total lateral surface area of two pyramids</u>  =2(3.75)=7.5\ cm^2

Hence, the surface area of the 8-sided figure is 7.5 cm²

You might be interested in
HELP TRIGONOMETRY!! Solve for x and y
zysi [14]
Use one of the many Trigonometric ratios to solve for the missing angle and then use Pythagorean theorem to solve for the missing side.

These things can be done in any order.
8 0
3 years ago
What is the value of x?
gtnhenbr [62]
Value of x is used to consider unknown value. The letter “x” is commonly used in algebra to indicate an unknown value. It is referred to as a “variable” or, in some cases, a “unknown.” In x + 2 = 7, x is a variable
4 0
2 years ago
Read 2 more answers
Jenny is diving into a swimming pool from a diving board. The expression below represents Jenny's vertical height x, in feet, ab
fredd [130]

Answer:

A

Step-by-step explanation:

The projectile motion of Jenny's dive can be represented by -at^2 + v_0t + h_0 where a is acceleration, v_0 is velocity, t is time, and h_0 is initial height.

Jenny's vertical height above the water is represented by -16x^2+12x+10. 10 is h_0 and is Jenny's initial height.

4 0
3 years ago
A shipment of 40 fancy calculators contains 3 defective units. What is the probability if a college bookstore buys 20 calculator
JulsSmile [24]

Answer:

38.46%

Step-by-step explanation:

There are no names or marking that can make the calculator look different, so the order is not important. Then we should use a combination to solve this problem.

There are 40 calculators in one shipment, 37 of them good items and 3 of them are defect items. We need to choose 19 good calculators and 1 defect calculator. The number of ways to do that will be:

\frac{37}{19}* \frac{3}{1}= 37!\frac{37!}{19!(37-19!)} * \frac{3!}{1!(3-1)!}= 53017895700

The number of possible ways to choose 20 calculators out of 40 calculators will be:

\frac{40}{20}= \frac{40!}{20!(40-20!)}=137846528820

The chance will be: 53017895700/ 137846528820 = 0.3846= 38.46%

4 0
3 years ago
What fraction is equal to the length of the red segment? Please answer in fraction form and how to get the answer
strojnjashka [21]
Answer:
The red segment is from 1/4 to 3/4.
3/4 - 1/4 = 2/4
2/4 = 1/2
1/2

This answer can also be found by seeing there are four equal boxes making up the one larger box, since two out of the four boxes are filled then the fraction would be 2/4, which simplifies to 1/2
6 0
2 years ago
Other questions:
  • A cone-shaped container is completely filled with liquid. The container has a radius of 60 cm and an height of 210 cm. The liqui
    13·2 answers
  • Find all solutions to the equation (sinx-cosx)^2=3
    13·2 answers
  • Please help!!
    7·1 answer
  • Help, with this multiple choice question?
    10·1 answer
  • Barrett works at an ice cream shop. The function f(x) represents the amount of money Barrett earns per gallon of ice cream, wher
    5·1 answer
  • What is the factored form of the polynomial?<br>x2 − 12x + 27?
    8·1 answer
  • the side of a triangle are in the ratio of 3:8:7. if the perimeter of the triangle is 63 cm, how long is the shorter side?
    6·1 answer
  • What is the standard form of the number four million, two hundred sixteen thousand, ninety
    14·2 answers
  • X+y=7 in slope intercept form
    9·2 answers
  • A new car is purchased for 27,000 dollars. The value of the car depreciates at a rate of 6% per year. Which equation represents
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!