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kupik [55]
3 years ago
14

Find the lateral area of a right circular cone whose radius is 6 feet and height is 8 feet.

Mathematics
1 answer:
Dmitry_Shevchenko [17]3 years ago
7 0

Answer:

we know that

[the lateral area of a right circular cone]=pi*r*l

where

r--------------> the radius of the circle part of the cone

l--------------> the side (slant height) of the cone

r=6 ft

h=8 ft

Step 1

find the slant height of the cone

which is determined by using Pythagoras, since the cross section is a right triangle.

l² = h²+ r²------------> l²=8²+6²-------> l²=64+36---------> l=10 ft

Step 2

find the lateral area

[the lateral area of a right circular cone]=pi*r*l--------> pi*6*10----> 188.4 ft²

the answer is 188.4 ft²

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A triangle has a base of 4/5 of a yard and a height of 2/3 of a yard. What is the area of this triangle?
Elena-2011 [213]

Answer:

8/15

Step-by-step explanation:

4/5 times 2/3

4 0
3 years ago
A map is made of a park. The scale from the park to the map is 36 mi to 6 cm. The length of Great Oaks Trail is 4.5 cm on this m
Ilya [14]

Answer:

Salamander Trail is longer than Great Oak Trail

Step-by-step explanation:

The given parameters are;

The scale of the map is 36 mi = 6 cm

The length of Great Oak Trail = 4.5 cm

The scale of a different map is 24 mi = 3 cm

The length of Salamander Trail = 3.5 cm

Therefore, we have;

The actual length of Great Oak Trail based on the first map is given as follows;

36 mi = 6 cm

6 cm = 36 mi

1 cm = 36 mi/6 = 6 mi

4.5 cm = 4.5 × 6 mi = 27 mi

The actual length of Salamander Trail based on the second  map is given as follows;

24 mi = 3 cm

3 cm = 24 mi

1 cm = 24 mi/3 = 8 mi

3.5 cm = 3.5 × 8 mi = 28 mi

Therefore, Salamander Trail with an actual length of 28 mi is longer than Great Oak Trail which has an actual length of 27 mi.

7 0
4 years ago
It takes Christy 1.5 hours to clean the garage. It takes the kids 2 hours to clean the same garage. If they all clean together,
Alborosie
Christy c = 90 min

kids k = 120 min

total time t = ?

I would do : 90+120 = 210 then divide that by 2 which equals 105 min
6 0
3 years ago
During the day, the temperature in Nome, Alaska rose 35°. The low temperature for the day was −22°F. What was the high temperatu
Marysya12 [62]

For this one add 35 to the -22 degrees.  So the equation is 35+(-22) which would equal 13 degrees F for a high.

5 0
3 years ago
Rebecca needs 10 ½ yards of fabric to make a quilt. She has one piece of fabric that is 2 ½ yards and another piece of fabric th
muminat

Answer:

3\frac{3}{4} yards of fabric

Step-by-step explanation:

In order to solve this problem, we should first make all of the fractions have common denominators. To do so we can turn the 1/2s into 2/4 which both equal 0.5 or 50%. Now we simply need to add together the pieces of quilt that she has and subtract that value from the total that she needs in order to calculate the amount of quilt that she is missing.

10 \frac{2}{4} - (2\frac{2}{4} + 4\frac{1}{4}) = x

10 \frac{2}{4} - 6\frac{3}{4} = x

3\frac{3}{4} = x

Finally, we can see that Rebecca needs a total of 3\frac{3}{4} yards of fabric to finish her quilt.

3 0
3 years ago
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