9514 1404 393
Answer:
- ornament area = 379.8 cm²
- paint needed: 114 bottles
Step-by-step explanation:
The surface area of one cone with slant height s and radius r is ...
SA = πr² +πrs = πr(r+s)
For the cone that is half an ornament, the surface area is ...
SA = (3.14)(4.2 cm)(4.2 cm + 10.2 cm) = 189.9072 cm²
The area of one ornament is the area of two cones:
one ornament area = 2×189.9072 cm² ≈ 379.8 cm²
60 ornaments will be 120 cones, so will have a total surface area of ...
total area = 120(189.9072 cm²) = 22,788.864 cm²
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If one bottle of paint will cover 201 cm², then the number of bottles of paint required is ...
(22788.864 cm²)/(201 cm²/bottle) ≈ 113.4 bottles
Answer:
32
Step-by-step explanation:
In order to find the measure of angle A we must first find x
If you didn't know, supplementary angles add up to equal 180
Hence, 2x - 16 + 5x + 28 = 180
( Note that we just created an equation that we can use to solve for x )
We now solve for x using the equation that we created
2x - 16 + 5x + 28 = 180
Combine like terms
7x + 12 = 180
Subtract 12 from both sides
7x = 168
Divide both sides by 7
We're left with x = 24
Now to find Angle a
To find Angle A we simply substitute 24 for x in 2x - 16
* Substitute 24 for x *
2(24) - 16
Multiply
48 - 16
subtract
/_ A = 32
Answer:
3456 inches
Step-by-step explanation:
96 yards is equal to 288 feet(96 *3=288)
and 288 feet is equal to 3456 inches(288*12=3456)
Using proportions, it is found that the coordinates of point B are given as follows:
A. (1.6, 0).
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
Point B is 3/4 of the way from AB to AC, hence:
The points are:
Then, to find the x-coordinate:
x + 2 = 3.6.
x = 1.6.
For the y-coordinate:
y + 3 = 3
y = 0.
Hence option A is correct.
More can be learned about proportions at brainly.com/question/24372153
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Answer:
The length of the ladder = 6.5077 ft
Step-by-step explanation:
Given A ladder leans against the side of a house
Given the angle of elevation of the ladder is 68° when the bottom of the ladder is 16 ft from the side of the house
Let 'C' be the point of observation.
Given CA= 16 ft
From right angle triangle
x = 16 × cos 68°
x = 16 × 0.4067
x = 6.5077
x = 6.5 ft
The length of the ladder = 6.5 ft