1. 
- Cone
2. 
- Sphere
3. 
- Cylinder
4. 
- Pyramid
5. 
- Prism
Solution:
1.
Lateral surface area of cone = 
where r is the radius of the cone and l is the slant height of the cone.
2.
Volume of sphere = 
where r is the radius of the sphere.
3.
Total surface area of cylinder = 
where r is the radius of the cylinder and h is the height of the cylinder.
4.
Volume of pyramid = 
where B is the base area of the pyramid and h is the height of the pyramid.
5.
Lateral surface area of prism = 
where p is the perimeter of the base and h is the height of the prism.
Answer:
y = 2x - 200
Step-by-step explanation:
The function type that would model this relationship is linear because for each bracelet sold, the jazz band would increase their profit by $2. Since it has a consistent rate, it is linear. Using the slope-intercept formula of y = mx + b, where 'm' is the rate and 'b' is the initial value, you can use $2 for the rate or cost per bracelet and -$200 for the initial value or cost of supplies:
y = 2x - 200, where '2' is the cost per bracelet, 'x' the number of bracelets sold, '-200' is the cost for supplies and 'y' is the profit.
Answer:
Number 3 : describe the behavior at the end of the graph: the line is increasing, also i believe thats non linear.
Step-by-step explanation:
Because the end segment of the graph goes up that means the line is increasing.
Answer: 4.5 miles
Explanation:
When you draw the situation you find two triangles.
1) Triangle to the east of the helicopter
a) elevation angle from the high school to the helicopter = depression angle from the helicopter to the high school = 20°
b) hypotensue = distance between the high school and the helicopter
c) opposite-leg to angle 20° = heigth of the helicopter
d) adyacent leg to the angle 20° = horizontal distance between the high school and the helicopter = x
2) triangle to the west of the helicopter
a) elevation angle from elementary school to the helicopter = depression angle from helicopter to the elementary school = 62°
b) distance between the helicopter and the elementary school = hypotenuse
c) opposite-leg to angle 62° = height of the helicopter
d) adyacent-leg to angle 62° = horizontal distance between the elementary school and the helicopter = 5 - x
3) tangent ratios
a) triangle with the helicpoter and the high school
tan 20° = Height / x ⇒ height = x tan 20°
b) triangle with the helicopter and the elementary school
tan 62° = Height / (5 - x) ⇒ height = (5 - x) tan 62°
c) equal the height from both triangles:
x tan 20° = (5 - x) tan 62°
x tan 20° = 5 tan 62° - x tan 62°
x tan 20° + x tan 62° = 5 tan 62°
x (tan 20° + tan 62°) = 5 tan 62°
⇒ x = 5 tant 62° / ( tan 20° + tan 62°)
⇒ x = 4,19 miles
=> height = x tan 20° = 4,19 tan 20° = 1,525 miles
4) Calculate the hypotenuse of this triangle:
hipotenuese ² = x² + height ² = (4.19)² + (1.525)² = 19.88 miles²
hipotenuse = 4.46 miles
Rounded to the nearest tenth = 4.5 miles
That is the distance between the helicopter and the high school.
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Present the numbers in decimal
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0.25 = 0.25
3/8 = 0.375
5/16 = 0.3125
<span><em>(It is easier to arrange the number using decimals)</em>
</span>
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Arrange the numbers
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0.25 (0.25) , 0.3125 (5/16) , 0.0375 (3/8)
<em>(Put the original numbers given in your final answer)</em>
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Answer: 0.25 , 5/16 , 3/8
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