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garik1379 [7]
3 years ago
11

The cone shown has a diameter of 18 meters and a slant height of 15 meters. Which choice is the closest to the lateral surface a

rea? Use 3.14 approximate pi.
A. 170 square meters
B. 339 square meters 
C. 424 square meters
D. 1,356 square meters
Mathematics
1 answer:
givi [52]3 years ago
8 0
I think it is C, 424

hope that helps

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Hi :) anyone able to teach this? I don’t understand the question , thanks in advance!
puteri [66]

a) 62.855m

We will need to use the Pythagorean Theorem here, as we know a and c, but not b. I have attached an image of a triangle sketch to set up the problem, which should hopefully help us to visualize this problem a bit better.

Pythagorean Theorem: a^2 + b^2 = c^2

(19.8)^2 + b^2 = (65.9)^2

392.04 + b^2 = 4342.81

b^2 = 3950.77

b = 62.855 (rounded to 3 places)

b) m = 0.315

The gradient is also known as the slope. I've shown what the points would be in the image attached. Now that we know the value of b (x in the points in image), we can use points E and C to find the slope.

Point 1: (0,0)

Point 2: (62.855, 19.8)

m = (19.8 - 0) / (62.855 - 0)

m = 19.8 / 62.855

m = 0.315 (rounded to three places)

c) 17.485 degrees

The angle of inclination would be angle C. To find angle C, we will need to use an inverse trigonometry function. Any can be used since we know all of the side lengths, but I will show Sine here, opposite / hypotenuse.

sin(x) = 19.8 / 65.9

x = sin^-1 (19.8/65.9)

x = 17.485 degrees (rounded to 3 places)

Hope this helps!! :)

7 0
3 years ago
I have no clue how to do this!!!
lara31 [8.8K]
Step One
Find z
All triangles have 180 degrees. No exceptions.
z + 47 + 90 = 180      combine like terms on the left.
z + 137 = 180            subtract 137 from both sides
z =  180 - 137        
z = 43 degrees.

Step Two
Use the sine function to find y
Sin(43) = opposite side / hypotenuse
opposite side = 35 

sin(43) = 35 / hypotenuse
hypotenuse = 35 / sin(43)
y = 35/0.6820
y = 51.32 

Solve using cos(x)
Note this problem could have been done in a shorter way.
Cos(47) = adjacent / hypotenuse.
hypotenuse = adjacent / cos(47)
y = 35 / cos(47)
y = 35 / 0.6820
y = 51.32 Both answers agree. It is a good thing to know how to do this question both ways.
5 0
3 years ago
PLEASE ASAP ILL GIVE YOU BRAINLIEST
Lesechka [4]
1. The average yards gained per play was 10.56
2. The total amount of yards recorded was 450.8 yards
7 0
2 years ago
50 POINTS PLEASE HELP!!!! THIS. IS. URGENT. WILL GIVE BRAINLIEST PLEASE JUST GIVE A GOOD EXPLANATION/BREAKDOWN
Licemer1 [7]
  • Answer:\beta \beta \beta \beta \beta \beta \beta\frac{x}{y} \frac{x}{y} \frac{x}{y} \frac{x}{y} \frac{x}{y} \frac{x}{y} x^{2} x^{2} x^{2} \alpha \alpha

Step-by-step explanation:

4 0
1 year ago
Every square is a rectangle.
Hoochie [10]
<span>Every square is a rectangle. Always

</span>A<span> rectangle is any four-sided with four right angles and opposite sides are equal.
Squares has four right angles, so square is a special type of rectangle with all sides equal.
</span>
7 0
3 years ago
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