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xxTIMURxx [149]
3 years ago
12

A cone has a base that is a shape of a circle. The length across is 16 feet. The height is 8 feet and the slant height is 10 fee

t. What is the lateral area of the cone using 3 for pi
Mathematics
1 answer:
Ira Lisetskai [31]3 years ago
7 0

Answer:

The answer to your question is Surface area = 432  ft²

Step-by-step explanation:

Data

diameter = 16 ft

height = 8 ft

slant height = 10 ft

pi = 3

Process

1.- Write the formula to calculate the surface area

Surface area = pi x radius x slant height + pi x radius²

2.- Substitution

Surface area = (3 x 16/2 x 10) + (3 x (16/2)²)

-Simplification

Surface area = 240 + 192

-Result

Surface area = 432  ft²

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Help! Check answer? My answer x=80
GuDViN [60]
The is the correct answer x=80
8 0
3 years ago
Read 2 more answers
14
Nuetrik [128]

Answer:

Distance LM = 5.20 unit (Approx.)

Step-by-step explanation:

Given coordinates;

L(1, 4, 7) and M(2, 9, 8)

Find:

Distance LM

Computation:

Distance between three-dimensional plane = √(x2 - x1)² + (y2 - y1)² + (z2 - z1)²

Distance LM = √(2 - 1)² + (9 - 4)² + (8 - 7)²

Distance LM = √(1)² + (5)² + (1)²

Distance LM = √1 + 25 + 1

Distance LM = √27

Distance LM = 3√3 unit

Distance LM = 3(1.732)

Distance LM = 5.196

Distance LM = 5.20 unit (Approx.)

5 0
3 years ago
Jon ate too many holiday cookies and gained 2.2 kilograms in December. Then he went on a diet and lost 1.5 kilograms in January.
gogolik [260]

Answer:

Jon lost a total of 3 kilograms in these 3 months.

Step-by-step explanation:

Weight that Jon gained in December = 2.2 kilograms

Weight that Jon lost in January = 1.5 kilograms

Weight that Jon lost in February = 3.7 kilograms

Overall Change in his weight = Total Weight he gained - Total weight he Lost

Total weight he gained is 2.2 kilograms as he only gained weight in December. Total weight he lost will be sum of weights he lost in January and February.

So, total weight Jon lost = 1.5 + 3.7 = 5.2 kilograms

Thus,

Total change in Jon's Weight = 2.2 - 5.2 = -3.0 kilograms

This shows that Jon lost a total of 3 kilograms in these 3 months.

Conclusion:

The statement that best describe the total change in his weight is: Jon lost a total of 3 kilograms in these 3 months

5 0
2 years ago
Read 2 more answers
Question 1
Tanzania [10]

Answer:

Mortality rate is 0.5 per 1000 habitant

the number of deaths have increased (from 210 to 250)

Step-by-step explanation:

Hello

Mortality rate is the number of deaths in a specific population,usually expressed in units of deaths per 1,000 individuals per year

Mortality\ rate\ (S)= \frac{(D)}{(P)} *10^{n} \\\\\\\\

where

S=Mortality rate

D=deaths

P= population

n= is a conversion form ,such as multiplying by  10^{3}=1000, to  get mortality rate per 1,000 individuals( we will use n=3)

step 1

asign

S=unknown

D=250

P=500000

n=3, (for each  1000 people)

step 2

Replace

S=\frac{250}{500000}*1000\\S=\ 0.5\ per\ 1000

Mortality rate is 0.5 per 1000 habitant

step 3

what if S=0.42

S=0.42(assuming it is 0.42 per 1000,n=3)

D=unknown

P=500000

(S)= \frac{(D)}{(P)} *10^{n}\\\\isolatin D\\\\S*P=D*10^{n}\\ D=\frac{S*P}{10^{n} } \\\\and\ replacing\\\\D=\frac{(0.42)*(500000)}{10^{3} }\\\\ Deaths=210\\

the number of deaths have increased (from 210 to 250)

Have a great day

5 0
3 years ago
Please help it’s due tonight!!
Alina [70]

Answer:

4: 1.33 ft.

5: 516.14322017669 mm

6:

7:

8: 7 cm

9: 27314.29921175 mm

10: 112 ft.

Step-by-step explanation:

not sure about 6 and 7

6 0
2 years ago
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