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
mariarad [96]
2 years ago
11

This net can be folded to make a square pyramid. what is the surface area of the pyramid

Mathematics
1 answer:
givi [52]2 years ago
8 0

Answer:  

85in^2

Step-by-step explanation:

to find the surface area we need to find the followng areas:  

  • area of the square  
  • area of a triangle and multiply it by 4 (because there are 4 triangles)

And once we have those areas, we add them to find the surface area.

Area of the square:

the formula to find the area of a square is:

a_{square}=l^2

where l is the length of the side: l=5in

thus the area of the square is:

a_{square}=(5in)^2

a_{square}=25in^2

Area of the triangles:

the are of 1 triangle is given by

a_{triangle} =\frac{b*h}{2}

where b is the base of the triangle: b=5in (the base of the triangle is the side of the square)

and h is the height of the triangle: h=6in

thus, the area of 1 triangle is:

a_{triangle} =\frac{(5in)*(6in)}{2}

a_{triangle} =\frac{30in^2}{2}

a_{triangle} =15in^2

the area of the 4 triangles is (we multiply by 4):

a_{4-triangles}=4(15in^2)

a_{4-triangles}=60in^2

finally we add the area of the square and the area of the 4 triangles to find the total surface area:

Surface=25in^2+60in^2

Surface=85in^2

You might be interested in
Only two problems I don’t understand. Don’t just give me answer, explain too please.
marta [7]

Answer:

12. Option b: 20 is the correct answer.

13. Option a: A rose costs $1 more than a daisy is the correct answer.

Step-by-step explanation:

12. Given that:

15x+10y=700       Eqn 1

x+y=60      Eqn 2

To find x, we will eliminate y be multiplying Eqn 2 by 10

10(x+y=60)

10x+10y=600      Eqn 3

Subtracting Eqn 3 from Eqn 2

(15x+10y)-(10x+10y)=700-600

15x+10y-10x-10y=100

5x=100

Dividing both sides by 5

\frac{5x}{5}=\frac{100}{5}\\x=20

Hence,

Option b: 20 is the correct answer.

13. Given that:

5x+4y=32     Eqn 1

x+6y=22       Eqn 2

Multiplying Eqn 2 by 5

5(x+6y=22)

5x+30y=110     Eqn 3

Subtracting Eqn 1 from Eqn 3

(5x+30y)-(5x+4y)=110-32

5x+30y-5x+4y=78

26y=78

Dividing both sides by 26

\frac{26y}{26}=\frac{78}{26}\\y=3

Putting y=3 in Eqn 2

x+6(3)=22

x+18=22

x=22-18

x=4

Hence,

Option a: A rose costs $1 more than a daisy is the correct answer.

7 0
3 years ago
On Monday, Jill used 12 quart of paint in 34 hour. On Tuesday, Jill was distracted by texting and used 12 quart of paint in 54 h
shepuryov [24]

Answer:

(1/2) qt/(3/4) hr = (1/2)*(4/3) qt/hr = (2/3) qt/hr

The rule for division of fractions is: invert the denominator and multiply.

3 0
3 years ago
An arts academy requires there to be 5 teachers for every 95 students and 4 tutors for every 40 students how many students does
Whitepunk [10]

Answer:

19 students per teacher and 10 students per tutor

Step-by-step explanation:

To find the amount of students per teacher and per tutor you have to divide

95 students /5 teachers

19 students per teacher

40 students /4 tutors

10 studetns pet tutor

5 0
2 years ago
The minute hand on a clock is 9 centimeters long and travels through an arc of 252 degrees every 42 minutes. To the nearest tent
kkurt [141]

Answer:

39.6 cm

Step-by-step explanation:

Applying

s = 2πrθ/360................ Equation 1

Where s = length of an arc or distance traveled by the minutes hand of the clock during the 42 munites, r = length of the minutes hand of the clock, θ = Angle traveled by the minute hand of the clock for every 42 minutes

From the question,

Given: r = 9 cm, θ = 252°

Constant: π = 22/7 = 3.14

Substitute these values into equation 1

s = (2×3.14×9×252)/360

s = 39.564

s = 39.6 cm

4 0
3 years ago
What is 4.3% as a decimal
vfiekz [6]
0.043 is the correct answer :$
6 0
3 years ago
Read 2 more answers
Other questions:
  • Which ordered pairs are solutions to the inequality x+3y≥−8?
    11·1 answer
  • If two angles do not form a linear pair, then they are not adjacent angles. true or false?
    13·1 answer
  • 20. Please help. What is the length of PD⎯⎯⎯⎯⎯⎯⎯⎯?
    7·2 answers
  • Chanda is planning to visit universities over the summer to help decide where she
    9·1 answer
  • 1, 2, 5, 9, Rule i-<br><br>what is the rule<br>​
    12·1 answer
  • How many pieces are there on the rubix cube
    6·2 answers
  • Hi, I am trying to find the Area but I cant tell if its 2D or 3D help please!
    13·1 answer
  • Select all the pairs of like terms in the expression.
    15·2 answers
  • What is the midpoint of 2,-6 and -8,5
    7·2 answers
  • a side of a triangle was reduced by a scale factor of 2/3 if the new side is now 18 inches what was the original side
    13·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!