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k0ka [10]
3 years ago
10

Someone Please Help Me. I don't understand how to do this.

Mathematics
1 answer:
Tamiku [17]3 years ago
8 0
[1] The median to the base passes through the top point (0,b) and the bottom point (0,0) since it is going straight down. The slope formula is
\frac{y_2-y_1}{x_2-x_1}
So, the slope of the median is (b-0)/(0-0) = b/0. Technically, this is undefined, but let's leave it this way for now.

[2] The base passes through the left point (-a,0) and the right point (a,0). Its slope must be (0-0)/(a-(-a)) = 0.

[3] We now check if the slopes are negative reciprocals. Flipping b/0 over and putting a negative sign gives:
b/0 -> - 0/b = 0
So the slopes are negative reciprocals, which means the lines are perpendicular.
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The volume of a cylinder is 12,566.4 cm3. The height of the cylinder is 8 cm.
scoundrel [369]
Using the formulas here: http://www.1728.org/diamform.htm

A)  Volume   =   <span>π <span>• r² • height
radius^2 = Volume / (PI*height)
</span></span><span>radius^2 = 12,566.4 / (PI * 8)
</span>radius^2 =  <span> <span> <span> 500.0011692175 </span> </span> </span>
radius = <span> <span> <span> 22.3607059195 </span> </span> </span>
radius (rounded) = 22.4 cm

B) Area of base = PI * radius^2
Area of base = 3.14159265 * 500
Area of base = <span> <span> <span> 1,570.7963267949 </span>
</span></span><span><span>Area of base (rounded) = </span> 1,570.8 square cm
</span> 
C) <span><span>lateral area = </span>2 • </span><span>π • r • height </span>
<span>lateral area = 2 • </span><span>π • 22.4 * 8
</span>lateral area = <span> <span> <span> 1,125.9468070466 </span> </span> </span>
lateral area = 1,125.9 <span>square cm

D) Total Surface Area = </span><span>(2 • <span>π <span>• r²) + (2 • <span>π • r • height)</span></span></span></span>
Total Surface Area = <span><span>2 * (top AND bottom area which is the Part B answer times 2) + (the lateral area which is the Part C answer)
</span>
Total Surface Area = </span>( 2 * 1,570.8 ) + (1,125.9)
<span>Total Surface Area = 3,141.6 + 1,125.9
</span><span>Total Surface Area = </span> <span> <span> <span> 4,267.5 </span> </span> </span> square cm





3 0
3 years ago
(06.04 HC) A figure is located at (2,0),(2,-2), and (6,0) on a coordinate plan. What kind of 3-D shape would be created if the f
fiasKO [112]

Answer:

a cone

Step-by-step explanation:

When you plot the three points on the graph it makes a triangle. As it rotates around the x axis, the points at 2,0 and 2,-2 make a circle, which becomes the base of the cone.

6 0
1 year ago
WARNJNG ⚠️⚠️ just help me please
marta [7]
(4)3 is also the same thing as 4x3 which is 12n
5 0
2 years ago
(Score for Question 3: ___ of 5 points) The measure of ∠2=8x+10 and the measure of ∠4=42+6x. Find the measure of ∠4. Show your w
Svetradugi [14.3K]

Answer:

∠4 = 78°, assuming out measurements have been taken in degrees.

Step-by-step explanation:

If ∠2 = 8x + 10 and

∠4 = 42 + 6x

We will assume that x in both cases is represented by the same number, therefore, we will first need to solve for x. We will do so by equating both angle measurement expressions.

8x + 10 = 42 + 6x        Take away 6x from both sides

2x + 10 = 42                Take 10 away from both sides to combine like terms

2x = 32                        Divide both sides by 2 to isolate x

x = 16

Knowing x, we can solve for the measure of ∠4 by plugging in 16 for x

∠4 = 42 + 6x

∠4 = 42 + 6(6)

∠4 = 42 + 36

∠4 = 78°, assuming out measurements have been taken in degrees.

4 0
3 years ago
What would the equation be if the sum of t and 2 is equal to 5 less than t
TEA [102]

Answer:

t=\frac{3}{2}

Step-by-step explanation:

1.

t+2=5-t

2.

2t+2=5

3.

2t=3

4.

t=\frac{3}{2}

7 0
2 years ago
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