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
Rashid [163]
3 years ago
6

A hexagonal prism 6 ft tall with a regular base measuring 9 ft on each edge and an apothem of length 7.8 ft. How do I get the la

teral and total surface area, rounding it to the nearest tenth if necessary?
Mathematics
1 answer:
SIZIF [17.4K]3 years ago
8 0
Given:

Hexagonal Prism dimensions: 

Altitude = 6 ft
Regular base;
side = 9 ft
apothem = 7.8 ft

The formula for the lateral surface area of a prism is

LA = P * h

where 
LA is the lateral surface area
P is the perimeter of the base
h is the height of the prism

LA = (9 ft * 6 sides) * 6 ft
LA = 324 ft^2

The formula for total surface area is 

TA = (P * h) + 2(Ab) 

where 
TA is the total surface area
Ab = Area of the base

Ab = a * P / 2
Ab = 7.8 ft * (9ft * 6) / 2
Ab = 210.6 ft^2

TA = 324 + 2(210.6)
TA = 745.2 ft^2
<span />
You might be interested in
Hen 430 randomly selected light bulbs were tested in a laboratory, 224 lasted more than 500 hours. Find a point estimate of the
Nata [24]

By the definition, An observed value of \bar{x} to estimate the mean of population is a point estimate and the statistic \bar{x} is a poiont estimator.

It is given that, "Hen 430 randomly selected light bulbs were tested in a laboratory"

That is, the Random sample size n= 430

The statement given that, "224 lasted more than 500 hours"

So x=224

Now find a point estimate of the last more than 500 hours proportion of all light bulbs:

Thus p=\frac{x}{n}=\frac{224}{430}

This implies that p=0.5209\sim0.521

Thus the answer is D: 0.521.

6 0
3 years ago
1/20 ÷ 4/5 <br>plz help me
Y_Kistochka [10]
When you divide fractions you need to multiply the first fraction by the reciprocal for the second

1/20 / 4/5
=1/20 * 5/4
=5/80

This can then be simplified to 1/16
7 0
3 years ago
Read 2 more answers
A triangle that is considered equilateral has
FinnZ [79.3K]
Two equal sides and one unequal side. 
7 0
3 years ago
Read 2 more answers
Find the inverse function g(x) of the function f(x)=2x+1
choli [55]

Answer:

The inverse function is f(x) = (x - 1)/2

Step-by-step explanation:

To find the inverse of any function, start by switching the x and f(x) values.

f(x) = 2x + 1

x = 2f(x) + 1

Now solve for the new f(x). The result will be your inverse function.

x = 2f(x) + 1

x - 1 = 2f(x)

(x - 1)/2 = f(x)

6 0
3 years ago
In art class 40% of students use watercolors for art. 16 students used watercolors. How many students are there?
Anastasy [175]

Answer:

40

Step-by-step explanation:

40% = 16

1% = 16 ÷ 40 = 0.4

100% = 0.4 x 100 = 40

4 0
3 years ago
Read 2 more answers
Other questions:
  • WHAT IS -1/4 TIMES -4/3
    5·2 answers
  • Need help any body please help
    15·1 answer
  • (05.07) A square pyramid is shown. What is the surface area?
    11·2 answers
  • Help !!! 8th grade math
    12·2 answers
  • Shontell spends $7 a month plus $0.10 per minute. Determine whether the cost per month is proportional to the to the number of m
    10·2 answers
  • What value for the constant,h, in the equation shown below will result in an onfinite number of solutions? Equation: 6x+18=h(3x+
    5·1 answer
  • What are the intercepts of x - 5y - Z equals -10
    13·1 answer
  • Eddie is going to flip a coin and spin a spinner. The coin has a heads and a tails. The spinner has three equal parts that are y
    8·1 answer
  • Leona purchased a $1,000 bond having a quoted price of 99.875. She had to pay a 5.5% brokerage fee (of the selling price). What
    9·2 answers
  • Brainiest even if not right Plzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzzz answer
    8·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!